Finite Group Databasebeta

← #30588526

Subgroups — #30588526

Order 15616.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459919C212yesmaximal, complemented
2#21459882C212yesmaximal, complemented
3#21459880C214yesmaximal, complemented
4#21459803C212yesmaximal, complemented
5#21459754C212yesmaximal, complemented
6#21459752C214yesmaximal, complemented
7#21459738C212yesmaximal, complemented
8#21459736C211yesmaximal, characteristic, complemented
9#21459711C212yesmaximal, complemented
10#21459710C211yesmaximal, characteristic, complemented
11#21459642C211yesmaximal, characteristic, complemented
12#21459611C211yesmaximal, characteristic, complemented
13#21459571C211yesmaximal, characteristic, complemented
14#21459559C212yesmaximal, complemented
15#21459549C212yesmaximal, complemented
16#21459491C211yesmaximal, characteristic, complemented
17#21459484C211yesmaximal, characteristic, complemented
18#21459431C212yesmaximal, complemented
19#21459426C212yesmaximal, complemented
20#21459424C214yesmaximal, complemented
21#21459413C212yesmaximal, complemented
22#21459376C212yesmaximal, complemented
23#21459374C214yesmaximal, complemented
24#21459253C211yesmaximal, characteristic, complemented
25#21459245C212yesmaximal, complemented
26#21459234C212yesmaximal, complemented
27#21459232C211yesmaximal, characteristic, complemented
28#21459114C212yesmaximal, complemented
29#21459111C211yesmaximal, characteristic, complemented
30C2×#16840293C211yesmaximal, characteristic, complemented
31#529×D61C212yesmaximal, complemented
32#21459030C211yesmaximal, characteristic, complemented
33#21459023C211yesmaximal, characteristic, complemented
34C2×#16840230C211yesmaximal, characteristic, complemented
35C61×#3494C211yesmaximal, characteristic, complemented
36C2×#14519824C2211yescharacteristic
37C2×#14519822C2211yescharacteristic
38C22×#11758222C2211yescharacteristic
39#16840496C2214yescomplemented
40#16840495C2212yescomplemented
41#16840495C2212yescomplemented
42#16840494C2214yescomplemented
43#16840489C2212yescomplemented
44#16840487C2212yescomplemented
45#16840483C2214yescomplemented
46#16840482C2212yescomplemented
47#16840482C2212yescomplemented
48#16840480C2212yescomplemented
49#16840479C2214yescomplemented
50#16840479C2214yescomplemented
51#16840474C2214yescomplemented
52#16840473C2212yescomplemented
53#16840471C2214yescomplemented
54#16840470C2214yescomplemented
55#16840468C2212yescomplemented
56#16840467C2212yescomplemented
57#16840466C2214yescomplemented
58#16840461C2214yescomplemented
59#16840461C2214yescomplemented
60#16840460C2212yescomplemented
61#16840459C2214yescomplemented
62#16840459C2214yescomplemented
63#16840458C2214yescomplemented
64#16840457C2214yescomplemented
65#16840457C2214yescomplemented
66#16840456C2212yescomplemented
67#16840455C2214yescomplemented
68#16840455C2214yescomplemented
69#16840455C2214yescomplemented
70#16840451C2212yescomplemented
71#16840451C2214yescomplemented
72#16840451C2212yescomplemented
73#16840449C2214yescomplemented
74#16840449C2214yescomplemented
75#16840449C2214yescomplemented
76#16840448C2214yescomplemented
77#16840447C2212yescomplemented
78#16840447C2212yescomplemented
79#16840445C2214yescomplemented
80#16840445C2214yescomplemented
81#16840442C2214yescomplemented
82#16840442C2214yescomplemented
83#16840441C2214yescomplemented
84#16840441C2214yescomplemented
85#16840439C2214yescomplemented
86#16840438C2214yescomplemented
87#16840438C2214yescomplemented
88#16840438C2214yescomplemented
89#16840437C2214yescomplemented
90#16840435C2214yescomplemented
91#16840435C2214yescomplemented
92#16840430C2212yes—
93D4×Dic122C2212yescomplemented
94#16840421C2212yescomplemented
95#16840418C2212yes—
96#16840418C2212yescomplemented
97#16840418C2212yescomplemented
98#16840417C2212yescomplemented
99#16840411C2214yescomplemented
100#16840410C2214yescomplemented
101#16840409C2212yes—
102#16840409C2212yescomplemented
103#16840409C2212yescomplemented
104#16840408C2212yescomplemented
105#16840402C2214yes—
106#16840401C2214yescomplemented
107#16840400C2214yescomplemented
108#16840399C2214yescomplemented
109#16840399C2214yescomplemented
110#16840399C2214yescomplemented
111#16840396C2212yes—
112D4×C22⋊D61C2214yes—
113#16840392C2212yescomplemented
114#16840390C2211yescharacteristic, complemented
115#16840389C2212yescomplemented
116#16840386C2212yescomplemented
117#16840386C2212yescomplemented
118#16840383C2212yescomplemented
119#16840381C2212yescomplemented
120#16840380C2214yescomplemented
121#16840379C2212yescomplemented
122#16840377C2212yescomplemented
123#16840377C2212yescomplemented
124#16840376C2214yescomplemented
125#16840375C2212yescomplemented
126#16840375C2212yescomplemented
127#16840374C2212yescomplemented
128#16840370C2212yescomplemented
129#16840369C2214yescomplemented
130#16840366C2212yescomplemented
131#16840365C2212yescomplemented
132#16840363C2212yescomplemented
133#16840362C2214yescomplemented
134#16840361C2214yescomplemented
135#16840358C2214yescomplemented
136#16840355C2214yescomplemented
137#16840348C2214yescomplemented
138#16840347C2214yescomplemented
139#16840344C2214yescomplemented
140#16840343C2211yescharacteristic
141#16840341C2212yes—
142#16840341C2212yescomplemented
143#16840340C2211yescharacteristic, complemented
144#16840338C2211yescharacteristic, complemented
145#16840338C2211yescharacteristic, complemented
146#16840335C2212yescomplemented
147#16840332C2212yescomplemented
148#16840329C2211yescharacteristic
149#16840328C2212yes—
150#16840325C2212yescomplemented
151#16840319C2212yescomplemented
152#16840317C2212yescomplemented
153#16840317C2212yescomplemented
154#16840317C2212yescomplemented
155#16840315C2211yescharacteristic, complemented
156#16840314C2211yescharacteristic, complemented
157#16840314C2214yescomplemented
158#16840314C2211yescharacteristic, complemented
159#16840310C2212yescomplemented
160#16840310C2212yescomplemented
161#16840308C2211yescharacteristic, complemented
162#16840307C2212yescomplemented
163#16840307C2211yescharacteristic, complemented
164#16840307C2214yescomplemented
165#16840307C2211yescharacteristic, complemented
166#16840299C2212yescomplemented
167#16840298C2214yescomplemented
168#16840298C2211yescharacteristic, complemented
169#16840298C2211yescharacteristic, complemented
170#16840297C2212yescomplemented
171#16840297C2212yescomplemented
172#16840296C2212yescomplemented
173#16840295C2214yescomplemented
174#16840295C2214yescomplemented
175#16840294C2212yescomplemented
176#16840294C2212yescomplemented
177#16840294C2214yescomplemented
178#16840294C2212yescomplemented
179#16840293C2211yescharacteristic, complemented
180#16840293C2212yescomplemented
181#16840293C2212yescomplemented
182#16840293C2212yescomplemented
183#16840293C2214yescomplemented
184#16840293C2212yescomplemented
185#16840293C2212yescomplemented
186#16840293C2212yescomplemented
187#16840293C2212yescomplemented
188#16840293C2212yescomplemented
189#16840293C2212yescomplemented
190#16840293C2211yescharacteristic, complemented
191#16840292C2214yescomplemented
192#16840292C2212yescomplemented
193#16840292C2212yescomplemented
194#16840291C2212yescomplemented
195#16840291C2214yescomplemented
196#16840291C2214yescomplemented
197#16840291C2214yescomplemented
198#16840290C2214yescomplemented
199#16840289C2214yescomplemented
200#16840289C2214yescomplemented
201#16840289C2214yescomplemented
202#16840289C2212yescomplemented
203#16840289C2212yescomplemented
204C2×#14519770C2212yescomplemented
205#126×D61C2214yescomplemented
206C2×#14519768C2211yescharacteristic, complemented
207#125×D61C2212yescomplemented
208C2×#14519764C2211yescharacteristic, complemented
209#124×D61C2212yescomplemented
210#16840273C2211yescharacteristic
211#16840272C2212yes—
212#16840272C2214yescomplemented
213#16840272C2212yescomplemented
214#16840272C2214yescomplemented
215#16840270C2214yescomplemented
216#16840269C2214yescomplemented
217#16840268C2214yescomplemented
218#16840268C2212yescomplemented
219#16840268C2212yescomplemented
220C2×#14519758C2212yescomplemented
221#123×D61C2214yescomplemented
222C2×#14519756C2211yescharacteristic, complemented
223C22⋊Q8×D61C2212yescomplemented
224#121×D61C2212yes—
225#16840243C2211yescharacteristic
226#16840243C2212yescomplemented
227#16840242C2211yescharacteristic
228#16840242C2211yescharacteristic, complemented
229#16840241C2212yescomplemented
230#16840241C2212yescomplemented
231#16840241C2214yescomplemented
232#16840241C2212yescomplemented
233#16840239C2212yescomplemented
234#16840239C2211yescharacteristic, complemented
235#16840238C2212yescomplemented
236#16840235C2214yescomplemented
237#16840234C2212yescomplemented
238#16840234C2212yescomplemented
239#41×Dic61C2211yescharacteristic, complemented
240#41×Dic61C2214yescomplemented
241#16840230C2211yescharacteristic
242#16840230C2211yescharacteristic
243#16840230C2211yescharacteristic, complemented
244#16840230C2212yescomplemented
245#16840230C2211yescharacteristic, complemented
246#16840230C2212yescomplemented
247#16840230C2211yescharacteristic, complemented
248#16840230C2212yescomplemented
249#16840230C2211yescharacteristic, complemented
250#16840230C2212yescomplemented
251#16840230C2211yescharacteristic, complemented
252#16840230C2211yescharacteristic, complemented
253#16840230C2211yescharacteristic, complemented
254#16840230C2212yescomplemented
255C4×#11758224C2212yescomplemented
256C4×#11758224C2212yescomplemented
257C4×#11758224C2212yescomplemented
258C4×#11758224C2214yescomplemented
259C4×#11758224C2212yescomplemented
260C4×#11758224C2212yescomplemented
261C4×#11758224C2214yescomplemented
262C2×#14519742C2211yescharacteristic, complemented
263C2×#14519742C2211yescharacteristic, complemented
264C2×#14519742C2211yescharacteristic, complemented
265C2×#14519742C2212yescomplemented
266C4×Q8×D61C2212yescomplemented
267C2×D4×Dic61C2211yescharacteristic, complemented
268C2×D4×Dic61C2212yescomplemented
269C2×#14519739C2211yescharacteristic, complemented
270C2×#14519739C2211yescharacteristic, complemented
271C2×#14519737C2212yescomplemented
272C2×#14519737C2212yescomplemented
273C2×#14519737C2214yescomplemented
274C4×D4×D61C2212yescomplemented
275C4×D4×D61C2212yescomplemented
276C4×D4×D61C2214yescomplemented
277C2×#14519734C2212yescomplemented
278C2×#14519733C2212yescomplemented
279#117×D61C2214yescomplemented
280C22×C4×Dic61C2211yescharacteristic, complemented
281C2×C42×D61C2212yescomplemented
282C61×#555C2212yescomplemented
283C61×#553C2212yescomplemented
284C61×#553C2212yescomplemented
285C61×#551C2214yescomplemented
286C61×#547C2212yescomplemented
287C61×#546C2214yescomplemented
288C61×#544C2211yescharacteristic, complemented
289C61×#542C2212yescomplemented
290C61×#540C2212yescomplemented
291C61×#535C2211yescharacteristic, complemented
292C61×#532C2212yescomplemented
293C61×#529C2212yescomplemented
294C61×#525C2211yescharacteristic, complemented
295C2×#121×C61C2211yescharacteristic
296C61×#520C2211yescharacteristic, complemented
297C61×#518C2211yescharacteristic, complemented
298C2×#117×C61C2211yescharacteristic, complemented
299#14519824—28no—
300#14519822—28no—
301C2×#11758222—28no—
302C2×#11758222C2312yes—
303C2×#11758222C2311yescharacteristic
304C2×#11758222C2312yes—
305C2×#11758222C2311yescharacteristic
306C2×#11758222C2311yescharacteristic
307C2×#11758222C2311yescharacteristic
308C2×#11758222C2312yes—
309C2×#11758222C2311yescharacteristic
310C2×#11758224C2312yes—
311C2×#11758224C2312yes—
312C2×#11758224C2312yes—
313C2×#11758224C2314yes—
314C2×#11758224C2314yes—
315C2×#11758224C2312yes—
316C2×#11758224C2312yes—
317C22×Dic122C2311yescharacteristic
318C22×Dic122C2311yescharacteristic
319C22×Dic122C2312yes—
320C2×Q8×D61C2312yes—
321C22×D244C2311yescharacteristic
322C22×C22⋊D61C2312yes—
323C22×C22⋊D61C2314yes—
324C2×D4×D61C2312yes—
325C2×D4×D61C2312yes—
326C2×D4×D61C2314yes—
327C23×Dic61C2311yescharacteristic
328C23×Dic61C2311yescharacteristic
329C23×Dic61C2312yes—
330C22×C4×D61C2312yes—
331C22×C4×D61C2312yes—
332C22×C4×D61C2312yes—
333C22×C4×D61C2314yes—
334#14519777C2312yes—
335#14519777C2312yes—
336#14519777C2312yes—
337#14519776C2312yes—
338#14519776C2314yes—
339#14519776C2314yes—
340#14519776C2311yescharacteristic
341#14519776C2311yescharacteristic
342#14519775C2314yes—
343#14519775C2311yescharacteristic
344#14519773C2314yes—
345#14519773C2312yes—
346#14519773C2311yescharacteristic
347#14519772C2314yes—
348#14519772C2314yes—
349#14519772C2314yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2312yes—
353#14519772C2314yes—
354#14519772C2312yes—
355#14519772C2314yes—
356#14519771C2314yes—
357#14519771C2314yes—
358#14519770C2314yes—
359#14519770C2312yes—
360#14519770C2314yes—
361#14519770C2314yes—
362#14519770C2314yes—
363#14519770C2314yes—
364#14519770C2314yes—
365#14519770C2314yes—
366#14519770C2314yes—
367#14519770C2314yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519770C2314yes—
371#14519770C2314yes—
372#14519770C2312yes—
373#14519769C2314yes—
374#14519769C2314yes—
375#14519769C2312yes—
376#14519768C2314yes—
377#14519768C2314yes—
378#14519768C2312yes—
379#14519768C2312yes—
380#14519768C2312yes—
381#14519768C2311yescharacteristic
382#14519768C2312yes—
383#14519768C2312yes—
384#14519768C2311yescharacteristic
385#14519768C2314yes—
386#14519767C2312yes—
387#14519767C2314yes—
388#14519767C2314yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2314yes—
392#14519767C2314yes—
393#14519767C2314yes—
394#14519767C2312yes—
395#14519766C2314yes—
396#14519766C2311yescharacteristic
397#14519765C2312yes—
398#14519765C2312yes—
399#14519764C2312yes—
400#14519764C2312yes—
401#14519764C2312yes—
402#14519764C2312yes—
403#14519764C2312yes—
404#14519764C2311yescharacteristic
405#14519764C2314yes—
406#14519763C2312yes—
407#14519763C2314yes—
408#14519763C2314yes—
409#14519763C2314yes—
410#14519763C2314yes—
411#14519763C2314yes—
412#14519763C2314yes—
413#14519763C2314yes—
414#14519763C2314yes—
415#14519763C2312yes—
416#14519762C2314yes—
417#14519762C2314yes—
418#14519762C2314yes—
419#14519762C2314yes—
420#14519761C2312yes—
421#14519761C2314yes—
422#14519761C2312yes—
423#14519761C2314yes—
424#14519761C2314yes—
425#14519760C2314yes—
426#14519760C2314yes—
427#14519760C2314yes—
428#14519760C2314yes—
429#14519760C2312yes—
430#14519759C2314yes—
431#14519759C2314yes—
432#14519759C2314yes—
433#14519759C2314yes—
434#14519759C2314yes—
435#14519759C2314yes—
436#14519759C2314yes—
437#14519759C2314yes—
438#14519759C2314yes—
439#14519759C2314yes—
440#14519759C2314yes—
441#14519758C2314yes—
442#14519758C2314yes—
443#14519758C2314yes—
444#14519758C2312yes—
445#14519758C2314yes—
446#14519758C2314yes—
447#14519758C2314yes—
448#14519758C2312yes—
449#14519757C2314yes—
450#14519757C2312yes—
451#14519757C2312yes—
452#14519757C2312yes—
453#14519757C2314yes—
454#14519757C2312yes—
455#14519757C2312yes—
456#14519757C2312yes—
457#14519756C2314yes—
458#14519756C2312yes—
459#14519756C2312yes—
460#14519756C2314yes—
461#14519756C2312yes—
462#14519756C2314yes—
463#14519756C2312yes—
464#14519756C2312yes—
465#14519756C2311yescharacteristic
466#14519756C2311yescharacteristic
467#14519755C2314yes—
468#14519755C2314yes—
469#14519755C2314yes—
470#14519755C2314yes—
471#14519754C2314yes—
472#14519754C2314yes—
473#14519754C2314yes—
474#14519754C2314yes—
475#14519754C2314yes—
476#14519754C2312yes—
477#14519754C2314yes—
478#14519754C2312yes—
479#14519754C2312yes—
480#14519754C2314yes—
481#14519754C2312yes—
482#14519753C2314yes—
483#14519753C2314yes—
484#14519753C2314yes—
485#14519753C2312yes—
486#14519753C2314yes—
487#14519752C2312yes—
488#14519752C2312yes—
489#14519751C2312yes—
490#14519751C2314yes—
491#14519751C2314yes—
492#14519751C2311yescharacteristic
493#14519751C2311yescharacteristic
494#14519750C2314yes—
495#14519750C2314yes—
496#14519750C2314yes—
497#14519750C2314yes—
498#14519749C2312yes—
499#14519749C2314yes—
500#14519749C2314yes—
501#14519749C2314yes—
502#14519749C2314yes—
503#14519749C2314yes—
504#14519749C2314yes—
505#14519749C2312yes—
506#14519749C2314yes—
507#14519749C2312yes—
508#14519749C2314yes—
509#14519749C2312yes—
510#14519748C2314yes—
511#14519748C2314yes—
512#14519748C2314yes—
513#14519748C2314yes—
514#14519748C2312yes—
515#14519748C2314yes—
516#14519748C2312yes—
517#14519748C2312yes—
518#14519747C2314yes—
519#14519746C2312yes—
520#14519746C2314yes—
521#14519745C2314yes—
522#14519745C2314yes—
523#14519745C2314yes—
524#14519745C2314yes—
525#14519745C2314yes—
526Q8×Dic61C2314yes—
527Q8×Dic61C2311yescharacteristic
528Q8×Dic61C2311yescharacteristic
529Q8×Dic61C2314yes—
530C4×Dic122C2314yes—
531C4×Dic122C2312yes—
532C4×Dic122C2314yes—
533C4×Dic122C2312yes—
534C4×Dic122C2314yes—
535C4×Dic122C2312yes—
536C4×Dic122C2312yes—
537C4×Dic122C2312yes—
538C4×Dic122C2312yes—
539#14519742C2312yes—
540#14519742C2312yes—
541#14519742C2314yes—
542#14519742C2312yes—
543#14519742C2311yescharacteristic
544#14519742C2312yes—
545#14519742C2314yes—
546#14519742C2312yes—
547#14519742C2314yes—
548#14519742C2312yes—
549#14519742C2311yescharacteristic
550#14519742C2312yes—
551#14519742C2311yescharacteristic
552#14519742C2311yescharacteristic
553#14519742C2311yescharacteristic
554#14519742C2311yescharacteristic
555#14519742C2312yes—
556#14519742C2311yescharacteristic
557#14519742C2312yes—
558#14519742C2311yescharacteristic
559#14519742C2312yes—
560#14519742C2312yes—
561#14519742C2312yes—
562#14519742C2311yescharacteristic
563#14519742C2312yes—
564#14519742C2311yescharacteristic
565C4×D244C2314yes—
566C4×D244C2312yes—
567C4×D244C2312yes—
568D4×Dic61C2314yes—
569D4×Dic61C2314yes—
570D4×Dic61C2314yes—
571D4×Dic61C2312yes—
572D4×Dic61C2314yes—
573D4×Dic61C2314yes—
574D4×Dic61C2314yes—
575D4×Dic61C2312yes—
576D4×Dic61C2312yes—
577D4×Dic61C2314yes—
578D4×Dic61C2312yes—
579D4×Dic61C2312yes—
580D4×Dic61C2314yes—
581D4×Dic61C2312yes—
582D4×Dic61C2311yescharacteristic
583D4×Dic61C2312yes—
584D4×Dic61C2312yes—
585D4×Dic61C2311yescharacteristic
586D4×Dic61C2314yes—
587#14519739C2311yescharacteristic
588#14519739C2312yes—
589#14519739C2312yes—
590#14519739C2311yescharacteristic
591#14519739C2311yescharacteristic
592#14519739C2312yes—
593#14519739C2311yescharacteristic
594#14519739C2311yescharacteristic
595#14519739C2311yescharacteristic
596#14519739C2314yes—
597#14519739C2311yescharacteristic
598#14519739C2312yes—
599#14519739C2311yescharacteristic
600#14519739C2312yes—
601#14519739C2311yescharacteristic
602#14519739C2311yescharacteristic
603C4×C22⋊D61C2314yes—
604C4×C22⋊D61C2312yes—
605C4×C22⋊D61C2312yes—
606C4×C22⋊D61C2314yes—
607C4×C22⋊D61C2314yes—
608C4×C22⋊D61C2314yes—
609C4×C22⋊D61C2312yes—
610C4×C22⋊D61C2314yes—
611C4×C22⋊D61C2314yes—
612C4×C22⋊D61C2314yes—
613C4×C22⋊D61C2312yes—
614C4×C22⋊D61C2314yes—
615C4×C22⋊D61C2314yes—
616C4×C22⋊D61C2314yes—
617C4×C22⋊D61C2314yes—
618#14519737C2314yes—
619#14519737C2312yes—
620#14519737C2312yes—
621#14519737C2314yes—
622#14519737C2314yes—
623#14519737C2312yes—
624#14519737C2314yes—
625#14519737C2312yes—
626#14519737C2312yes—
627#14519737C2312yes—
628#14519737C2312yes—
629#14519737C2314yes—
630#14519737C2312yes—
631#14519737C2314yes—
632#14519737C2312yes—
633#14519737C2312yes—
634#14519737C2314yes—
635#14519737C2314yes—
636#14519737C2314yes—
637#14519737C2312yes—
638#14519737C2312yes—
639#14519737C2312yes—
640#14519737C2312yes—
641#14519737C2312yes—
642#14519737C2312yes—
643#14519737C2312yes—
644#14519737C2312yes—
645#14519737C2312yes—
646#14519737C2314yes—
647#14519737C2314yes—
648#14519737C2312yes—
649#14519737C2312yes—
650#14519737C2312yes—
651#14519736C2314yes—
652#14519736C2314yes—
653#14519736C2314yes—
654#14519736C2314yes—
655#14519736C2311yescharacteristic
656#14519736C2312yes—
657#14519735C2314yes—
658#14519735C2312yes—
659#14519735C2312yes—
660#14519735C2314yes—
661#14519735C2312yes—
662#14519735C2312yes—
663#14519735C2312yes—
664#14519735C2314yes—
665#14519734C2312yes—
666#14519734C2312yes—
667#14519734C2314yes—
668#14519734C2314yes—
669#14519734C2314yes—
670#14519734C2312yes—
671#14519734C2312yes—
672#14519734C2312yes—
673#14519734C2312yes—
674#14519734C2312yes—
675#14519734C2312yes—
676#14519734C2312yes—
677#14519733C2314yes—
678#14519733C2314yes—
679#14519733C2312yes—
680#14519733C2312yes—
681#14519733C2314yes—
682#14519733C2314yes—
683#14519733C2314yes—
684#14519733C2314yes—
685#14519733C2314yes—
686#14519733C2312yes—
687#14519733C2314yes—
688#14519733C2314yes—
689#14519733C2314yes—
690#14519733C2312yes—
691C2×C4⋊Dic61C2312yes—
692C2×C4⋊Dic61C2311yescharacteristic
693C2×#11758196C2312yes—
694C2×#11758196C2314yes—
695C2×#11758196C2314yes—
696C2×#11758196C2312yes—
697C2×#11758196C2312yes—
698C2×#11758196C2312yes—
699C2×#11758196C2312yes—
700C4⋊C4×D61C2314yes—
701C4⋊C4×D61C2312yes—
702C4⋊C4×D61C2314yes—
703C4⋊C4×D61C2314yes—
704C4⋊C4×D61C2312yes—
705C4⋊C4×D61C2312yes—
706C4⋊C4×D61C2314yes—
707C2×C22⋊Dic61C2312yes—
708C2×C22⋊Dic61C2312yes—
709C2×C22⋊Dic61C2312yes—
710C2×C22⋊Dic61C2312yes—
711C2×#11758198C2312yes—
712C2×#11758198C2312yes—
713C2×#11758198C2314yes—
714C22⋊C4×D61C2314yes—
715C22⋊C4×D61C2314yes—
716C22⋊C4×D61C2314yes—
717C22⋊C4×D61C2314yes—
718C22⋊C4×D61C2314yes—
719C22⋊C4×D61C2314yes—
720C2×C4×Dic61C2311yescharacteristic
721C2×C4×Dic61C2312yes—
722C2×C4×Dic61C2312yes—
723C2×C4×Dic61C2311yescharacteristic
724C2×C4×Dic61C2311yescharacteristic
725C2×C4×Dic61C2311yescharacteristic
726C2×C4×Dic61C2311yescharacteristic
727C2×C4×Dic61C2311yescharacteristic
728C2×C4×Dic61C2311yescharacteristic
729C2×C4×Dic61C2311yescharacteristic
730C2×C4×Dic61C2311yescharacteristic
731C2×C4×Dic61C2311yescharacteristic
732C2×C4×Dic61C2311yescharacteristic
733C2×C4×Dic61C2311yescharacteristic
734C2×C4×Dic61C2312yes—
735C2×C4×Dic61C2314yes—
736C2×C4×Dic61C2314yes—
737C2×C4×Dic61C2312yes—
738C42×D61C2312yes—
739C42×D61C2312yes—
740C42×D61C2312yes—
741C42×D61C2312yes—
742C42×D61C2312yes—
743C42×D61C2312yes—
744C42×D61C2312yes—
745C42×D61C2312yes—
746C42×D61C2314yes—
747C42×D61C2312yes—
748C2×#41×C61C2311yescharacteristic
749C2×#41×C61C2314yes—
750C22×D4×C61C2311yescharacteristic
751C22×D4×C61C2312yes—
752C23×C4×C61C2311yescharacteristic
753C4⋊Q8×C61C2312yes—
754C4⋊Q8×C61C2312yes—
755#127×C61C2312yes—
756#126×C61C2314yes—
757#126×C61C2314yes—
758#125×C61C2312yes—
759#125×C61C2312yes—
760#124×C61C2314yes—
761#124×C61C2312yes—
762#124×C61C2314yes—
763#123×C61C2314yes—
764#123×C61C2314yes—
765#123×C61C2314yes—
766#123×C61C2314yes—
767#123×C61C2312yes—
768C22⋊Q8×C61C2311yescharacteristic
769C22⋊Q8×C61C2314yes—
770C22⋊Q8×C61C2314yes—
771C22⋊Q8×C61C2311yescharacteristic
772#121×C61C2311yescharacteristic
773#121×C61C2314yes—
774#121×C61C2312yes—
775#121×C61C2312yes—
776#121×C61C2312yes—
777#121×C61C2314yes—
778#121×C61C2314yes—
779#121×C61C2311yescharacteristic
780#121×C61C2312yes—
781#121×C61C2312yes—
782#121×C61C2312yes—
783#120×C61C2314yes—
784#120×C61C2312yes—
785C4×Q8×C61C2312yes—
786C4×D4×C61C2312yes—
787C4×D4×C61C2312yes—
788C4×D4×C61C2314yes—
789C4×D4×C61C2312yes—
790C4×D4×C61C2314yes—
791C4×D4×C61C2314yes—
792C4×D4×C61C2312yes—
793C4×D4×C61C2312yes—
794C4×D4×C61C2312yes—
795C4×D4×C61C2312yes—
796#117×C61C2311yescharacteristic
797#117×C61C2312yes—
798#117×C61C2314yes—
799#117×C61C2311yescharacteristic
800#117×C61C2312yes—
801#117×C61C2311yescharacteristic
802#117×C61C2312yes—
803#117×C61C2311yescharacteristic
804#117×C61C2311yescharacteristic
805C2×C4⋊C4×C61C2312yes—
806C2×C4⋊C4×C61C2311yescharacteristic
807C2×C4⋊C4×C61C2311yescharacteristic
808C2×C4⋊C4×C61C2311yescharacteristic
809C2×C22⋊C4×C61C2312yes—
810C2×C22⋊C4×C61C2314yes—
811C2×C22⋊C4×C61C2312yes—
812C2×C42×C61C2312yes—
813C24×C61C2411yescharacteristic
814C24×C61C2412yes—
815C23×D61C2412yes—
816C23×D61C2414yes—
817#41×C61—24no—
818#41×C61—48no—
819C2×Q8×C61C2411yescharacteristic
820C2×Q8×C61C2414yes—
821C2×D4×C61—24no—
822C2×D4×C61—44no—
823C2×D4×C61C2412yes—
824C2×D4×C61C2412yes—
825C2×D4×C61C2414yes—
826C2×D4×C61C2412yes—
827C2×D4×C61C2411yescharacteristic
828C2×D4×C61C2412yes—
829C2×D4×C61C2412yes—
830C2×D4×C61C2414yes—
831C2×D4×C61C2414yes—
832C2×D4×C61C2414yes—
833C22×C4×C61—24no—
834C22×C4×C61C2411yescharacteristic
835C22×C4×C61C2412yes—
836C22×C4×C61C2411yescharacteristic
837C22×C4×C61C2412yes—
838C22×C4×C61C2411yescharacteristic
839C22×C4×C61C2411yescharacteristic
840C22×C4×C61C2411yescharacteristic
841C22×C4×C61C2412yes—
842C22×C4×C61C2414yes—
843C22×C4×C61C2412yes—
844C22×C4×C61C2414yes—
845C22×C4×C61C2414yes—
846C22×C4×C61C2411yescharacteristic
847C2×C22⋊D61—28no—
848C2×C22⋊D61—216no—
849C2×C22⋊D61C2412yes—
850C2×C22⋊D61C2414yes—
851C2×C22⋊D61C2414yes—
852C2×C22⋊D61C2412yes—
853C2×C22⋊D61C2412yes—
854C2×C22⋊D61C2412yes—
855C2×C22⋊D61C2412yes—
856C2×C22⋊D61C2414yes—
857C2×C22⋊D61C2414yes—
858C2×C22⋊D61C2412yes—
859C2×C22⋊D61C2412yes—
860C2×C22⋊D61C2412yes—
861C2×C22⋊D61C2414yes—
862C2×C22⋊D61C2414yes—
863C2×C22⋊D61C2412yes—
864C22×Dic61—42no—
865C22×Dic61—44no—
866C22×Dic61—42no—
867C22×Dic61C2411yescharacteristic
868C22×Dic61C2411yescharacteristic
869C22×Dic61C2414yes—
870C22×Dic61C2412yes—
871C22×Dic61C2411yescharacteristic
872C22×Dic61C2411yescharacteristic
873C22×Dic61C2411yescharacteristic
874C22×Dic61C2414yes—
875C22×Dic61C2412yes—
876C22×Dic61C2414yes—
877C22×Dic61C2412yes—
878C22×Dic61C2411yescharacteristic
879C22×Dic61C2411yescharacteristic
880C22×Dic61C2411yescharacteristic
881C22×Dic61C2411yescharacteristic
882C22×Dic61C2411yescharacteristic
883C22×Dic61C2411yescharacteristic
884C22×Dic61C2411yescharacteristic
885C22×Dic61C2414yes—
886C22×Dic61C2412yes—
887C22×Dic61C2412yes—
888Q8×D61—28no—
889#11758224—216no—
890#11758224—28no—
891#11758224—28no—
892#11758224—28no—
893#11758224—44no—
894#11758224—48no—
895#11758224—44no—
896D4×D61—28no—
897D4×D61—28no—
898D4×D61—48no—
899#11758222—24no—
900#11758222—24no—
901#11758222—28no—
902#11758222—24no—
903#11758222—28no—
904#11758222—28no—
905#11758222—24no—
906#11758222#4118yescomplemented
907C2×D244—24no—
908C2×D244C2411yescharacteristic
909C2×D244C2412yes—
910C2×D244C2411yescharacteristic
911C2×D244C2414yes—
912C2×D244C2411yescharacteristic
913C2×C4×D61—28no—
914C2×C4×D61—48no—
915C2×C4×D61—44no—
916C2×C4×D61—44no—
917C2×C4×D61C2412yes—
918C2×C4×D61C2412yes—
919C2×C4×D61C2412yes—
920C2×C4×D61C2412yes—
921C2×C4×D61C2412yes—
922C2×C4×D61C2412yes—
923C2×C4×D61C2412yes—
924C2×C4×D61C2414yes—
925C2×C4×D61C2412yes—
926C2×C4×D61C2412yes—
927C2×C4×D61C2412yes—
928C2×C4×D61C2412yes—
929C2×C4×D61C2412yes—
930C2×C4×D61C2412yes—
931C2×C4×D61C2414yes—
932C2×C4×D61C2414yes—
933C2×C4×D61C2414yes—
934C2×C4×D61C2412yes—
935C2×C4×D61C2412yes—
936C2×Dic122—24no—
937C2×Dic122—24no—
938C2×Dic122—28no—
939C2×Dic122C2414yes—
940C2×Dic122C2412yes—
941C2×Dic122C2412yes—
942C2×Dic122C2412yes—
943C2×Dic122C2411yescharacteristic
944C2×Dic122C2411yescharacteristic
945C2×Dic122C2412yes—
946C2×Dic122C2414yes—
947C2×Dic122C2412yes—
948C2×Dic122C2411yescharacteristic
949C4⋊C4×C61C2411yescharacteristic
950C4⋊C4×C61C2412yes—
951C4⋊C4×C61C2411yescharacteristic
952C4⋊C4×C61C2411yescharacteristic
953C4⋊C4×C61C2411yescharacteristic
954C4⋊C4×C61C2412yes—
955C4⋊C4×C61C2412yes—
956C4⋊C4×C61C2412yes—
957C4⋊C4×C61C2414yes—
958C4⋊C4×C61C2412yes—
959C4⋊C4×C61C2411yescharacteristic
960C4⋊C4×C61C2411yescharacteristic
961C4⋊C4×C61C2414yes—
962C4⋊C4×C61C2414yes—
963C4⋊C4×C61C2414yes—
964C4⋊C4×C61C2412yes—
965C22⋊C4×C61C2412yes—
966C22⋊C4×C61C2412yes—
967C22⋊C4×C61C2412yes—
968C22⋊C4×C61C2412yes—
969C22⋊C4×C61C2412yes—
970C22⋊C4×C61C2414yes—
971C22⋊C4×C61C2414yes—
972C22⋊C4×C61C2414yes—
973C22⋊C4×C61C2414yes—
974C22⋊C4×C61C2414yes—
975C22⋊C4×C61C2414yes—
976C22⋊C4×C61C2412yes—
977C22⋊C4×C61C2412yes—
978C22⋊C4×C61C2414yes—
979C22⋊C4×C61C2412yes—
980C22⋊C4×C61C2412yes—
981C42×C61C2412yes—
982C42×C61C2412yes—
983C42×C61C2412yes—
984C42×C61C2412yes—
985C42×C61C2414yes—
986C42×C61C2412yes—
987C22⋊Dic61C2414yes—
988C22⋊Dic61C2414yes—
989C22⋊Dic61C2414yes—
990C22⋊Dic61C2414yes—
991C22⋊Dic61C2414yes—
992C22⋊Dic61C2414yes—
993C22⋊Dic61C2414yes—
994C22⋊Dic61C2414yes—
995C22⋊Dic61C2414yes—
996C22⋊Dic61C2412yes—
997C22⋊Dic61C2412yes—
998C22⋊Dic61C2412yes—
999C22⋊Dic61C2412yes—
1000C22⋊Dic61C2412yes—
1001C22⋊Dic61C2412yes—
1002C22⋊Dic61C2412yes—
1003C22⋊Dic61C2414yes—
1004C22⋊Dic61C2414yes—
1005#11758198C2412yes—
1006#11758198C2412yes—
1007#11758198C2412yes—
1008#11758198C2412yes—
1009#11758198C2412yes—
1010#11758198C2414yes—
1011#11758198C2414yes—
1012#11758198C2414yes—
1013#11758198C2414yes—
1014#11758198C2414yes—
1015#11758198C2414yes—
1016#11758198C2414yes—
1017#11758198C2412yes—
1018#11758198C2412yes—
1019#11758198C2412yes—
1020#11758198C2412yes—
1021#11758198C2412yes—
1022#11758198C2412yes—
1023#11758198C2412yes—
1024#11758198C2412yes—
1025#11758198C2414yes—
1026#11758198C2414yes—
1027#11758198C2414yes—
1028#11758198C2412yes—
1029C4⋊Dic61C2412yes—
1030C4⋊Dic61C2411yescharacteristic
1031C4⋊Dic61C2412yes—
1032C4⋊Dic61C2412yes—
1033C4⋊Dic61C2412yes—
1034C4⋊Dic61C2414yes—
1035C4⋊Dic61C2414yes—
1036C4⋊Dic61C2414yes—
1037C4⋊Dic61C2411yescharacteristic
1038C4⋊Dic61C2412yes—
1039C4⋊Dic61C2412yes—
1040C4⋊Dic61C2414yes—
1041C4⋊Dic61C2414yes—
1042C4⋊Dic61C2414yes—
1043C4⋊Dic61C2414yes—
1044C4⋊Dic61C2414yes—
1045#11758196C2412yes—
1046#11758196C2414yes—
1047#11758196C2414yes—
1048#11758196C2414yes—
1049#11758196C2414yes—
1050#11758196C2414yes—
1051#11758196C2414yes—
1052#11758196C2414yes—
1053#11758196C2414yes—
1054#11758196C2414yes—
1055#11758196C2414yes—
1056#11758196C2412yes—
1057#11758196C2412yes—
1058#11758196C2412yes—
1059#11758196C2414yes—
1060#11758196C2414yes—
1061#11758196C2414yes—
1062#11758196C2412yes—
1063#11758196C2412yes—
1064#11758196C2412yes—
1065#11758196C2412yes—
1066#11758196C2412yes—
1067#11758196C2412yes—
1068#11758196C2412yes—
1069#11758196C2414yes—
1070#11758196C2412yes—
1071#11758196C2412yes—
1072#11758196C2412yes—
1073#11758196C2412yes—
1074#11758196C2412yes—
1075#11758196C2412yes—
1076#11758196C2412yes—
1077C4×Dic61C2411yescharacteristic
1078C4×Dic61C2411yescharacteristic
1079C4×Dic61C2411yescharacteristic
1080C4×Dic61C2411yescharacteristic
1081C4×Dic61C2412yes—
1082C4×Dic61C2411yescharacteristic
1083C4×Dic61C2412yes—
1084C4×Dic61C2412yes—
1085C4×Dic61C2412yes—
1086C4×Dic61C2412yes—
1087C4×Dic61C2412yes—
1088C4×Dic61C2412yes—
1089C4×Dic61C2412yes—
1090C4×Dic61C2412yes—
1091C4×Dic61C2412yes—
1092C4×Dic61C2414yes—
1093C4×Dic61C2412yes—
1094C4×Dic61C2414yes—
1095C4×Dic61C2411yescharacteristic
1096C4×Dic61C2411yescharacteristic
1097C4×Dic61C2411yescharacteristic
1098C4×Dic61C2411yescharacteristic
1099C4×Dic61C2411yescharacteristic
1100C4×Dic61C2411yescharacteristic
1101C4×Dic61C2411yescharacteristic
1102C4×Dic61C2411yescharacteristic
1103C4×Dic61C2411yescharacteristic
1104C4×Dic61C2411yescharacteristic
1105C4×Dic61C2411yescharacteristic
1106C4×Dic61C2414yes—
1107C4×Dic61C2412yes—
1108C4×Dic61C2414yes—
1109C4×Dic61C2414yes—
1110C4×Dic61C2414yes—
1111C4×Dic61C2414yes—
1112C4×Dic61C2412yes—
1113C23×C61—22no—
1114C23×C61—22no—
1115C23×C61—24no—
1116C23×C61—41no—
1117C23×C61—42no—
1118C23×C61—42no—
1119C23×C61C2514yes—
1120C23×C61C2511yescharacteristic
1121C23×C61C2512yes—
1122C23×C61C2511yescharacteristic
1123C23×C61C2511yescharacteristic
1124C22×D61—24no—
1125C22×D61—24no—
1126C22×D61—28no—
1127C22×D61—42no—
1128C22×D61—44no—
1129C22×D61—44no—
1130C22×D61C2512yes—
1131C22×D61C2512yes—
1132C22×D61C2512yes—
1133Q8×C61—22no—
1134Q8×C61—44no—
1135D4×C61—24no—
1136D4×C61—28no—
1137D4×C61—24no—
1138D4×C61—24no—
1139D4×C61—24no—
1140D4×C61—22no—
1141D4×C61—44no—
1142D4×C61—42no—
1143D4×C61—44no—
1144D4×C61—44no—
1145C2×C4×C61—22no—
1146C2×C4×C61—24no—
1147C2×C4×C61—22no—
1148C2×C4×C61—24no—
1149C2×C4×C61—22no—
1150C2×C4×C61—22no—
1151C2×C4×C61—22no—
1152C2×C4×C61—42no—
1153C2×C4×C61—44no—
1154C2×C4×C61—42no—
1155C2×C4×C61—44no—
1156C2×C4×C61—44no—
1157C2×C4×C61C2×#4114yes—
1158C2×C4×C61C2512yes—
1159C2×C4×C61C2511yescharacteristic
1160C2×C4×C61C2512yes—
1161C2×C4×C61C2511yescharacteristic
1162C2×C4×C61C2514yes—
1163C2×C4×C61C2512yes—
1164C2×C4×C61C2512yes—
1165C2×C4×C61C2512yes—
1166C2×C4×C61C2512yes—
1167C2×C4×C61C2512yes—
1168C2×C4×C61C2511yescharacteristic
1169C2×C4×C61C2511yescharacteristic
1170C22⋊D61—24no—
1171C22⋊D61—24no—
1172C22⋊D61—24no—
1173C22⋊D61—24no—
1174C22⋊D61—28no—
1175C22⋊D61—28no—
1176C22⋊D61—24no—
1177C22⋊D61—28no—
1178C22⋊D61—44no—
1179C22⋊D61—42no—
1180C22⋊D61—44no—
1181C22⋊D61—42no—
1182C22⋊D61—42no—
1183C22⋊D61—44no—
1184C22⋊D61C2×#4118yes—
1185C2×Dic61—24no—
1186C2×Dic61—22no—
1187C2×Dic61—22no—
1188C2×Dic61—24no—
1189C2×Dic61—28no—
1190C2×Dic61—28no—
1191C2×Dic61—22no—
1192C2×Dic61—28no—
1193C2×Dic61—24no—
1194C2×Dic61—22no—
1195C2×Dic61—22no—
1196C2×Dic61—42no—
1197C2×Dic61—41no—
1198C2×Dic61—41no—
1199C2×Dic61—41no—
1200C2×Dic61—41no—
1201C2×Dic61—42no—
1202C2×Dic61—44no—
1203C2×Dic61—41no—
1204C2×Dic61—41no—
1205C2×Dic61—41no—
1206C2×Dic61C2511yescharacteristic
1207C2×Dic61C2511yescharacteristic
1208C2×Dic61C2511yescharacteristic
1209C2×Dic61C2511yescharacteristic
1210C2×Dic61C2511yescharacteristic
1211C2×Dic61C2512yes—
1212C2×Dic61C2511yescharacteristic
1213C2×Dic61C2512yes—
1214C2×Dic61C2512yes—
1215C2×Dic61C2511yescharacteristic
1216C2×Dic61C2512yes—
1217C2×Dic61C2514yes—
1218C2×Dic61C2514yes—
1219C2×Dic61C2512yes—
1220C2×Dic61C2511yescharacteristic
1221D244—24no—
1222D244—22no—
1223D244—22no—
1224D244—44no—
1225D244C2×#4114yes—
1226C4×D61—24no—
1227C4×D61—28no—
1228C4×D61—24no—
1229C4×D61—24no—
1230C4×D61—24no—
1231C4×D61—24no—
1232C4×D61—24no—
1233C4×D61—24no—
1234C4×D61—44no—
1235C4×D61—44no—
1236C4×D61—42no—
1237C4×D61—42no—
1238C4×D61—42no—
1239C4×D61—42no—
1240C4×D61—42no—
1241C4×D61—42no—
1242C4×D61—44no—
1243C4×D61—42no—
1244C4×D61C2×#4118yes—
1245Dic122—24no—
1246Dic122—22no—
1247Dic122—24no—
1248Dic122—22no—
1249Dic122—24no—
1250Dic122—28no—
1251Dic122—42no—
1252Dic122—44no—
1253Dic122—42no—
1254Dic122C2×#4114yes—
1255#62810—611nomaximal, Sylow
1256C22×C61—21no—
1257C22×C61—21no—
1258C22×C61—21no—
1259C22×C61—21no—
1260C22×C61—22no—
1261C22×C61—24no—
1262C22×C61—21no—
1263C22×C61—21no—
1264C22×C61—24no—
1265C22×C61—22no—
1266C22×C61—21no—
1267C22×C61—22no—
1268C22×C61—24no—
1269C22×C61—44no—
1270C22×C61—84no—
1271C22×C61C22×#4112yes—
1272C22×C61#58512yes—
1273C22×C61C2611yescharacteristic
1274C2×D61—22no—
1275C2×D61—22no—
1276C2×D61—22no—
1277C2×D61—22no—
1278C2×D61—22no—
1279C2×D61—22no—
1280C2×D61—22no—
1281C2×D61—22no—
1282C2×D61—48no—
1283C2×D61—88no—
1284C2×D61C22×#4114yes—
1285C4×C61—22no—
1286C4×C61—21no—
1287C4×C61—21no—
1288C4×C61—22no—
1289C4×C61—22no—
1290C4×C61—22no—
1291C4×C61—22no—
1292C4×C61—22no—
1293C4×C61—22no—
1294C4×C61—24no—
1295C4×C61C22×#4112yes—
1296C4×C61C22×#4112yes—
1297Dic61—24no—
1298Dic61—22no—
1299Dic61—22no—
1300Dic61—22no—
1301Dic61—21no—
1302Dic61—21no—
1303Dic61—24no—
1304Dic61—22no—
1305Dic61—21no—
1306Dic61—21no—
1307Dic61—21no—
1308Dic61—21no—
1309Dic61—21no—
1310Dic61C22×#4114yes—
1311Dic61#58512yes—
1312#3524—612no—
1313#3521—612no—
1314#3521—614no—
1315#3516—612no—
1316#3513—612no—
1317#3513—614no—
1318#3512—612no—
1319#3512—611no—
1320#3510—612no—
1321#3510—611no—
1322#3504—611no—
1323#3500—611no—
1324#3495—612no—
1325#3495—611no—
1326#3494—612no—
1327#3494D6111yescharacteristic, complemented
1328#3489—611no—
1329#3488—611no—
1330#3482—612no—
1331#3481—612no—
1332#3481—614no—
1333#3480—612no—
1334#3475—612no—
1335#3475—614no—
1336#3461—611no—
1337#3461—612no—
1338#3460—612no—
1339#3460—611no—
1340#3444—612no—
1341#3444—611no—
1342C2×#529—612no—
1343C2×#529—611no—
1344C4×2−1+4—611no—
1345C4×H(5,𝔽2)—611no—
1346C2×C4×#41—611no—
1347C2×C61—22no—
1348C2×C61—22no—
1349C2×C61—44no—
1350C2×C61—42no—
1351C2×C61—41no—
1352C2×C61C23×#4111yescharacteristic
1353C2×C61C2×#58511yescharacteristic
1354C2×C61C2×#58511yescharacteristic
1355D61—24no—
1356D61—42no—
1357D61—42no—
1358C2×2−1+4—611no—
1359C2×H(5,𝔽2)—611no—
1360C22×#41—611no—
1361#559—614no—
1362#559—614no—
1363#559—612no—
1364#559—612no—
1365#557—612no—
1366#557—612no—
1367#556—614no—
1368#556—614no—
1369#556—614no—
1370#556—612no—
1371#556—612no—
1372#556—612no—
1373#555—614no—
1374#555C2×D6112yescomplemented
1375#554—612no—
1376#554—612no—
1377#554—614no—
1378#554—614no—
1379#554—614no—
1380#554—612no—
1381#553—614no—
1382#553—614no—
1383#553—614no—
1384#553—614no—
1385#553—614no—
1386#553—614no—
1387#553—614no—
1388#553—614no—
1389#553—614no—
1390#553—614no—
1391#553—612no—
1392#553—612no—
1393#553C2×D6112yescomplemented
1394#553C2×D6112yescomplemented
1395#552—614no—
1396#552—614no—
1397#552—614no—
1398#552—614no—
1399#552—614no—
1400#552—612no—
1401#552—612no—
1402#552—614no—
1403#552—614no—
1404#552—612no—
1405#552—612no—
1406#551—614no—
1407#551—614no—
1408#551—614no—
1409#551—614no—
1410#551—614no—
1411#551—614no—
1412#551—614no—
1413#551—614no—
1414#551—614no—
1415#551—614no—
1416#551—614no—
1417#551C2×D6114yescomplemented
1418#550—612no—
1419D4×Q8—612no—
1420#548—612no—
1421#548—612no—
1422#548—612no—
1423#548—612no—
1424#547—614no—
1425#547—614no—
1426#547—612no—
1427#547C2×D6112yescomplemented
1428#546—614no—
1429#546—612no—
1430#546—612no—
1431#546—614no—
1432#546—612no—
1433#546—614no—
1434#546—614no—
1435#546—614no—
1436#546—612no—
1437#546—614no—
1438#546C2×D6114yescomplemented
1439D42—614no—
1440D42—612no—
1441#544—612no—
1442#544—612no—
1443#544—611no—
1444#544C2×D6111yescharacteristic, complemented
1445#542—612no—
1446#542—612no—
1447#542—612no—
1448#542—614no—
1449#542—614no—
1450#542—612no—
1451#542—612no—
1452#542—612no—
1453#542—612no—
1454#542C2×D6112yescomplemented
1455#541—614no—
1456#541—612no—
1457#541—612no—
1458#541—612no—
1459#541—612no—
1460#540—612no—
1461#540—614no—
1462#540—612no—
1463#540—612no—
1464#540C2×D6112yescomplemented
1465#539—614no—
1466#539—614no—
1467#539—614no—
1468#538—614no—
1469#538—614no—
1470#538—614no—
1471#537—611no—
1472#537—612no—
1473#537—612no—
1474#537—611no—
1475#536—612no—
1476#536—612no—
1477#536—611no—
1478#536—611no—
1479#535—611no—
1480#535—612no—
1481#535—612no—
1482#535C2×D6111yescharacteristic, complemented
1483#533—612no—
1484#533—612no—
1485#533—612no—
1486#533—611no—
1487#533—611no—
1488#533—614no—
1489#533—611no—
1490#533—612no—
1491#532—611no—
1492#532—612no—
1493#532—612no—
1494#532—611no—
1495#532—611no—
1496#532—612no—
1497#532—614no—
1498#532C2×D6112yescomplemented
1499#529—614no—
1500#529—614no—
1501#529—612no—
1502#529—612no—
1503#529—612no—
1504#529—614no—
1505#529—614no—
1506#529—614no—
1507#529—614no—
1508#529—612no—
1509#529—612no—
1510#529—614no—
1511#529—614no—
1512#529—611no—
1513#529—611no—
1514#529—614no—
1515#529—612no—
1516#529—612no—
1517#529—612no—
1518#529—612no—
1519#529—612no—
1520#529—612no—
1521#529—612no—
1522#529—612no—
1523#529—611no—
1524#529—611no—
1525#529—614no—
1526#529—612no—
1527#529—612no—
1528#529—614no—
1529#529—612no—
1530#529—612no—
1531#529—612no—
1532#529—612no—
1533#529—612no—
1534#529—614no—
1535#529—614no—
1536#529—612no—
1537#529C2×D6112yescomplemented
1538C2×#126—614no—
1539C2×#126—612no—
1540C2×#125—612no—
1541C2×#125—611no—
1542C2×#124—611no—
1543C2×#124—612no—
1544#525—614no—
1545#525—611no—
1546#525—614no—
1547#525—612no—
1548#525—614no—
1549#525—612no—
1550#525—614no—
1551#525—612no—
1552#525—612no—
1553#525—614no—
1554#525C2×D6111yescharacteristic, complemented
1555C2×#123—612no—
1556C2×#123—614no—
1557C2×C22⋊Q8—611no—
1558C2×C22⋊Q8—612no—
1559C2×#121—612no—
1560C2×#121C2×D6111yescharacteristic
1561#520—612no—
1562#520—612no—
1563#520—612no—
1564#520—614no—
1565#520—611no—
1566#520—611no—
1567#520—611no—
1568#520—612no—
1569#520C2×D6111yescharacteristic, complemented
1570#519—612no—
1571#519—611no—
1572#519—612no—
1573#518—612no—
1574#518—612no—
1575#518—614no—
1576#518C2×D6111yescharacteristic, complemented
1577C4×#41—611no—
1578C4×#41—614no—
1579C4×#41—612no—
1580C4×#41—612no—
1581C4×#41—612no—
1582C4×#41—614no—
1583C4×#41—614no—
1584C4×#41—612no—
1585C4×#41—612no—
1586C4×#41—611no—
1587C4×#41—611no—
1588C4×#41—611no—
1589C4×#41—612no—
1590C4×#41—612no—
1591C4×#41—611no—
1592C4×#41—611no—
1593C4×#41—611no—
1594C4×#41—612no—
1595C4×#41—612no—
1596C4×#41—611no—
1597C4×#41—611no—
1598C4×#41—611no—
1599C4×#41—612no—
1600C2×C4×Q8—612no—
1601C2×C4×Q8—611no—
1602C2×C4×Q8—611no—
1603C2×C4×Q8—611no—
1604C2×C4×Q8—612no—
1605C2×C4×D4—611no—
1606C2×C4×D4—612no—
1607C2×C4×D4—612no—
1608C2×C4×D4—612no—
1609C2×C4×D4—614no—
1610C2×C4×D4—611no—
1611C2×C4×D4—611no—
1612C2×C4×D4—612no—
1613C2×C4×D4—612no—
1614C2×C4×D4—614no—
1615C2×#117—614no—
1616C2×#117—612no—
1617C2×#117—612no—
1618C2×#117C2×D6111yescharacteristic, complemented
1619C22×C42—611no—
1620C22×C42—612no—
1621C61#6281011yescharacteristic, complemented, Sylow
16222−1+4—1228no—
1623H(5,𝔽2)—1228no—
1624C2×#41—612no—
1625C2×#41—612no—
1626C2×#41—614no—
1627C2×#41—612no—
1628C2×#41—612no—
1629C2×#41—614no—
1630C2×#41—612no—
1631C2×#41—611no—
1632C2×#41—612no—
1633C2×#41—611no—
1634C2×#41—611no—
1635C2×#41—612no—
1636C2×#41—611no—
1637C2×#41—611no—
1638C2×#41—612no—
1639C2×#41—1228no—
1640C2×#41C22×D6111yescharacteristic
1641C2×#41C22×D6114yes—
1642C22×Q8—612no—
1643C22×Q8—611no—
1644C22×Q8—611no—
1645C22×Q8—612no—
1646C22×D4—612no—
1647C22×D4—614no—
1648C22×D4—612no—
1649C22×D4—612no—
1650C22×D4—614no—
1651C22×D4—611no—
1652C22×D4C22×D6111yescharacteristic
1653C22×D4C22×D6112yes—
1654C23×C4—612no—
1655C23×C4—611no—
1656C23×C4—611no—
1657C23×C4—612no—
1658C23×C4—614no—
1659C23×C4—612no—
1660C23×C4—612no—
1661C23×C4C22×D6111yescharacteristic
1662C4⋊Q8—611no—
1663C4⋊Q8—614no—
1664C4⋊Q8—611no—
1665C4⋊Q8—611no—
1666C4⋊Q8—614no—
1667C4⋊Q8—612no—
1668C4⋊Q8—614no—
1669C4⋊Q8—612no—
1670C4⋊Q8—612no—
1671C4⋊Q8—612no—
1672C4⋊Q8C22×D6112yes—
1673C4⋊Q8C22×D6112yes—
1674#127—611no—
1675#127—614no—
1676#127—612no—
1677#127C22×D6112yes—
1678#126—612no—
1679#126—614no—
1680#126—614no—
1681#126—612no—
1682#126—614no—
1683#126—614no—
1684#126—614no—
1685#126—614no—
1686#126—614no—
1687#126—614no—
1688#126—614no—
1689#126—614no—
1690#126—614no—
1691#126—614no—
1692#126—614no—
1693#126—612no—
1694#126—614no—
1695#126—612no—
1696#126—614no—
1697#126—614no—
1698#126—614no—
1699#126—614no—
1700#126—614no—
1701#126—614no—
1702#126—614no—
1703#126—614no—
1704#126C22×D6114yes—
1705#126C22×D6114yes—
1706#125—612no—
1707#125—611no—
1708#125—612no—
1709#125—614no—
1710#125—614no—
1711#125—612no—
1712#125—612no—
1713#125—611no—
1714#125—612no—
1715#125—614no—
1716#125—612no—
1717#125—614no—
1718#125—612no—
1719#125—614no—
1720#125—614no—
1721#125—614no—
1722#125—614no—
1723#125—614no—
1724#125—614no—
1725#125—612no—
1726#125—614no—
1727#125—614no—
1728#125C22×D6112yes—
1729#125C22×D6112yes—
1730#124—611no—
1731#124—614no—
1732#124—612no—
1733#124—612no—
1734#124—612no—
1735#124—612no—
1736#124—611no—
1737#124—614no—
1738#124—612no—
1739#124—614no—
1740#124—614no—
1741#124—612no—
1742#124—612no—
1743#124—614no—
1744#124—614no—
1745#124—614no—
1746#124—614no—
1747#124—614no—
1748#124—614no—
1749#124—612no—
1750#124—612no—
1751#124C22×D6112yes—
1752#124C22×D6114yes—
1753#124C22×D6114yes—
1754#123—614no—
1755#123—614no—
1756#123—614no—
1757#123—614no—
1758#123—612no—
1759#123—612no—
1760#123—614no—
1761#123—614no—
1762#123—614no—
1763#123—612no—
1764#123—614no—
1765#123—614no—
1766#123—614no—
1767#123—614no—
1768#123—614no—
1769#123—614no—
1770#123—614no—
1771#123—612no—
1772#123—614no—
1773#123—614no—
1774#123—614no—
1775#123—614no—
1776#123—614no—
1777#123—612no—
1778#123—614no—
1779#123—614no—
1780#123—614no—
1781#123—614no—
1782#123—614no—
1783#123—614no—
1784#123—614no—
1785#123—614no—
1786#123—614no—
1787#123C22×D6114yes—
1788#123C22×D6114yes—
1789#123C22×D6112yes—
1790#123C22×D6114yes—
1791#123C22×D6114yes—
1792C22⋊Q8—612no—
1793C22⋊Q8—614no—
1794C22⋊Q8—614no—
1795C22⋊Q8—614no—
1796C22⋊Q8—614no—
1797C22⋊Q8—612no—
1798C22⋊Q8—612no—
1799C22⋊Q8—612no—
1800C22⋊Q8—612no—
1801C22⋊Q8—611no—
1802C22⋊Q8—611no—
1803C22⋊Q8—614no—
1804C22⋊Q8—614no—
1805C22⋊Q8—612no—
1806C22⋊Q8—614no—
1807C22⋊Q8—612no—
1808C22⋊Q8—614no—
1809C22⋊Q8—612no—
1810C22⋊Q8—612no—
1811C22⋊Q8—614no—
1812C22⋊Q8—614no—
1813C22⋊Q8—614no—
1814C22⋊Q8—614no—
1815C22⋊Q8—612no—
1816C22⋊Q8—614no—
1817C22⋊Q8—612no—
1818C22⋊Q8—612no—
1819C22⋊Q8—614no—
1820C22⋊Q8—612no—
1821C22⋊Q8—612no—
1822C22⋊Q8—612no—
1823C22⋊Q8—612no—
1824C22⋊Q8—614no—
1825C22⋊Q8—614no—
1826C22⋊Q8—614no—
1827C22⋊Q8—614no—
1828C22⋊Q8—614no—
1829C22⋊Q8—614no—
1830C22⋊Q8C22×D6111yescharacteristic
1831C22⋊Q8C22×D6111yescharacteristic
1832C22⋊Q8C22×D6114yes—
1833C22⋊Q8C22×D6114yes—
1834#121—612no—
1835#121—614no—
1836#121—612no—
1837#121—612no—
1838#121—614no—
1839#121—612no—
1840#121—614no—
1841#121—614no—
1842#121—612no—
1843#121—612no—
1844#121—612no—
1845#121—614no—
1846#121—614no—
1847#121—614no—
1848#121—614no—
1849#121—614no—
1850#121—614no—
1851#121—614no—
1852#121—614no—
1853#121—614no—
1854#121—611no—
1855#121—611no—
1856#121—614no—
1857#121—612no—
1858#121—614no—
1859#121—612no—
1860#121—612no—
1861#121—614no—
1862#121—614no—
1863#121—614no—
1864#121—614no—
1865#121C22×D6112yes—
1866#121C22×D6112yes—
1867#121C22×D6112yes—
1868#121C22×D6112yes—
1869#121C22×D6111yescharacteristic
1870#121C22×D6114yes—
1871#121C22×D6114yes—
1872#121C22×D6111yescharacteristic
1873#121C22×D6112yes—
1874#121C22×D6112yes—
1875#121C22×D6114yes—
1876#120—612no—
1877#120—614no—
1878#120—614no—
1879#120—614no—
1880#120—614no—
1881#120—614no—
1882#120—614no—
1883#120—614no—
1884#120C22×D6112yes—
1885#120C22×D6114yes—
1886C4×Q8—611no—
1887C4×Q8—611no—
1888C4×Q8—614no—
1889C4×Q8—614no—
1890C4×Q8—611no—
1891C4×Q8—614no—
1892C4×Q8—612no—
1893C4×Q8—612no—
1894C4×Q8—611no—
1895C4×Q8—612no—
1896C4×Q8—611no—
1897C4×Q8—612no—
1898C4×Q8—611no—
1899C4×Q8—611no—
1900C4×Q8—611no—
1901C4×Q8—612no—
1902C4×Q8—612no—
1903C4×Q8—611no—
1904C4×Q8—611no—
1905C4×Q8—612no—
1906C4×Q8—612no—
1907C4×Q8—612no—
1908C4×Q8—614no—
1909C4×Q8—612no—
1910C4×Q8—611no—
1911C4×Q8—612no—
1912C4×Q8—611no—
1913C4×Q8—612no—
1914C4×Q8—612no—
1915C4×Q8—614no—
1916C4×Q8—614no—
1917C4×Q8—612no—
1918C4×Q8—612no—
1919C4×Q8—614no—
1920C4×Q8—612no—
1921C4×Q8—612no—
1922C4×Q8—614no—
1923C4×Q8—612no—
1924C4×Q8—612no—
1925C4×Q8C22×D6112yes—
1926C4×D4—614no—
1927C4×D4—612no—
1928C4×D4—612no—
1929C4×D4—612no—
1930C4×D4—612no—
1931C4×D4—614no—
1932C4×D4—614no—
1933C4×D4—614no—
1934C4×D4—612no—
1935C4×D4—612no—
1936C4×D4—611no—
1937C4×D4—612no—
1938C4×D4—611no—
1939C4×D4—614no—
1940C4×D4—614no—
1941C4×D4—614no—
1942C4×D4—612no—
1943C4×D4—614no—
1944C4×D4—614no—
1945C4×D4—614no—
1946C4×D4—614no—
1947C4×D4—614no—
1948C4×D4—614no—
1949C4×D4—614no—
1950C4×D4—614no—
1951C4×D4—614no—
1952C4×D4—614no—
1953C4×D4—614no—
1954C4×D4—612no—
1955C4×D4—612no—
1956C4×D4—614no—
1957C4×D4—614no—
1958C4×D4—612no—
1959C4×D4—612no—
1960C4×D4—611no—
1961C4×D4—611no—
1962C4×D4—611no—
1963C4×D4—612no—
1964C4×D4—611no—
1965C4×D4—612no—
1966C4×D4—611no—
1967C4×D4—611no—
1968C4×D4—611no—
1969C4×D4—612no—
1970C4×D4—612no—
1971C4×D4—611no—
1972C4×D4—611no—
1973C4×D4—614no—
1974C4×D4—611no—
1975C4×D4—612no—
1976C4×D4—612no—
1977C4×D4—614no—
1978C4×D4—612no—
1979C4×D4—612no—
1980C4×D4—614no—
1981C4×D4—612no—
1982C4×D4—612no—
1983C4×D4—612no—
1984C4×D4—612no—
1985C4×D4—612no—
1986C4×D4—612no—
1987C4×D4—612no—
1988C4×D4—612no—
1989C4×D4—612no—
1990C4×D4—612no—
1991C4×D4—612no—
1992C4×D4—612no—
1993C4×D4—612no—
1994C4×D4—612no—
1995C4×D4—612no—
1996C4×D4—614no—
1997C4×D4—614no—
1998C4×D4—614no—
1999C4×D4—614no—
2000C4×D4—614no—
2001C4×D4—614no—
2002C4×D4—612no—
2003C4×D4—614no—
2004C4×D4—612no—
2005C4×D4—614no—
2006C4×D4—614no—
2007C4×D4—612no—
2008C4×D4—612no—
2009C4×D4—612no—
2010C4×D4—612no—
2011C4×D4—614no—
2012C4×D4C22×D6112yes—
2013C4×D4C22×D6112yes—
2014C4×D4C22×D6114yes—
2015C4×D4C22×D6112yes—
2016C4×D4C22×D6112yes—
2017C4×D4C22×D6112yes—
2018C4×D4C22×D6114yes—
2019C4×D4C22×D6112yes—
2020C4×D4C22×D6112yes—
2021C4×D4C22×D6114yes—
2022#117—614no—
2023#117—611no—
2024#117—612no—
2025#117—614no—
2026#117—614no—
2027#117—614no—
2028#117—612no—
2029#117—614no—
2030#117—612no—
2031#117—612no—
2032#117—612no—
2033#117—614no—
2034#117—614no—
2035#117—612no—
2036#117—614no—
2037#117—614no—
2038#117—614no—
2039#117—614no—
2040#117—614no—
2041#117—612no—
2042#117—614no—
2043#117—614no—
2044#117—614no—
2045#117—614no—
2046#117—614no—
2047#117—612no—
2048#117—612no—
2049#117—612no—
2050#117—612no—
2051#117—612no—
2052#117—612no—
2053#117—612no—
2054#117—612no—
2055#117—612no—
2056#117—612no—
2057#117—612no—
2058#117—614no—
2059#117—614no—
2060#117—612no—
2061#117—614no—
2062#117C22×D6114yes—
2063#117C22×D6111yescharacteristic
2064#117C22×D6111yescharacteristic
2065#117C22×D6112yes—
2066#117C22×D6112yes—
2067#117C22×D6111yescharacteristic
2068#117C22×D6111yescharacteristic
2069#117C22×D6111yescharacteristic
2070#117C22×D6112yes—
2071C2×C4⋊C4—612no—
2072C2×C4⋊C4—612no—
2073C2×C4⋊C4—612no—
2074C2×C4⋊C4—612no—
2075C2×C4⋊C4—611no—
2076C2×C4⋊C4—614no—
2077C2×C4⋊C4—612no—
2078C2×C4⋊C4—612no—
2079C2×C4⋊C4—614no—
2080C2×C4⋊C4—614no—
2081C2×C4⋊C4—614no—
2082C2×C4⋊C4—612no—
2083C2×C4⋊C4—612no—
2084C2×C4⋊C4—614no—
2085C2×C4⋊C4—612no—
2086C2×C4⋊C4—614no—
2087C2×C4⋊C4C22×D6111yescharacteristic
2088C2×C4⋊C4C22×D6111yescharacteristic
2089C2×C4⋊C4C22×D6111yescharacteristic
2090C2×C4⋊C4C22×D6112yes—
2091C2×C22⋊C4—612no—
2092C2×C22⋊C4—612no—
2093C2×C22⋊C4—612no—
2094C2×C22⋊C4—612no—
2095C2×C22⋊C4—612no—
2096C2×C22⋊C4—612no—
2097C2×C22⋊C4—614no—
2098C2×C22⋊C4—614no—
2099C2×C22⋊C4—614no—
2100C2×C22⋊C4—614no—
2101C2×C22⋊C4—614no—
2102C2×C22⋊C4—614no—
2103C2×C22⋊C4—614no—
2104C2×C22⋊C4C22×D6112yes—
2105C2×C22⋊C4C22×D6112yes—
2106C2×C22⋊C4C22×D6114yes—
2107C2×C42—611no—
2108C2×C42—611no—
2109C2×C42—612no—
2110C2×C42—611no—
2111C2×C42—611no—
2112C2×C42—612no—
2113C2×C42—612no—
2114C2×C42—611no—
2115C2×C42—614no—
2116C2×C42—614no—
2117C2×C42—612no—
2118C2×C42—611no—
2119C2×C42—611no—
2120C2×C42—611no—
2121C2×C42—611no—
2122C2×C42—611no—
2123C2×C42—611no—
2124C2×C42—611no—
2125C2×C42—612no—
2126C2×C42—614no—
2127C2×C42—612no—
2128C2×C42—612no—
2129C2×C42—612no—
2130C2×C42—612no—
2131C2×C42—612no—
2132C2×C42—612no—
2133C2×C42—612no—
2134C2×C42—612no—
2135C2×C42C22×D6112yes—
2136C24—612no—
2137C24—614no—
2138C24C23×D6111yescharacteristic
2139C24C23×D6112yes—
2140#41—24no—
2141#41—48no—
2142#41—618no—
2143#41—1228no—
2144#41—1228no—
2145#41—1224no—
2146#41—1228no—
2147#41—1224no—
2148#41—1228no—
2149#41—1228no—
2150#41—12216no—
2151#41—1228no—
2152#41—1224no—
2153#41—1224no—
2154#41—2444no—
2155#41—2448no—
2156#41—2444no—
2157C2×Q8—611no—
2158C2×Q8—614no—
2159C2×Q8—612no—
2160C2×Q8—612no—
2161C2×Q8—612no—
2162C2×Q8—611no—
2163C2×Q8—611no—
2164C2×Q8—612no—
2165C2×Q8—614no—
2166C2×Q8—612no—
2167C2×Q8—1224no—
2168C2×Q8—1228no—
2169C2×Q8—1228no—
2170C2×Q8—1224no—
2171C2×Q8C23×D6111yescharacteristic
2172C2×Q8C23×D6114yes—
2173C2×D4—24no—
2174C2×D4—44no—
2175C2×D4—612no—
2176C2×D4—614no—
2177C2×D4—612no—
2178C2×D4—612no—
2179C2×D4—614no—
2180C2×D4—612no—
2181C2×D4—612no—
2182C2×D4—614no—
2183C2×D4—612no—
2184C2×D4—612no—
2185C2×D4—614no—
2186C2×D4—612no—
2187C2×D4—612no—
2188C2×D4—614no—
2189C2×D4—614no—
2190C2×D4—611no—
2191C2×D4—612no—
2192C2×D4—611no—
2193C2×D4—611no—
2194C2×D4—614no—
2195C2×D4—1224no—
2196C2×D4—1228no—
2197C2×D4—1228no—
2198C2×D4—1228no—
2199C2×D4—12216no—
2200C2×D4—2448no—
2201C2×D4C23×D6112yes—
2202C2×D4C23×D6114yes—
2203C2×D4C23×D6112yes—
2204C2×D4C23×D6112yes—
2205C2×D4C23×D6111yescharacteristic
2206C2×D4C23×D6112yes—
2207C2×D4C23×D6114yes—
2208C2×D4C23×D6114yes—
2209C2×D4C23×D6114yes—
2210C2×D4C23×D6112yes—
2211C22×C4—24no—
2212C22×C4—612no—
2213C22×C4—611no—
2214C22×C4—611no—
2215C22×C4—611no—
2216C22×C4—612no—
2217C22×C4—611no—
2218C22×C4—612no—
2219C22×C4—611no—
2220C22×C4—612no—
2221C22×C4—614no—
2222C22×C4—614no—
2223C22×C4—614no—
2224C22×C4—611no—
2225C22×C4—611no—
2226C22×C4—611no—
2227C22×C4—611no—
2228C22×C4—611no—
2229C22×C4—611no—
2230C22×C4—611no—
2231C22×C4—612no—
2232C22×C4—612no—
2233C22×C4—614no—
2234C22×C4—612no—
2235C22×C4—612no—
2236C22×C4—612no—
2237C22×C4—612no—
2238C22×C4—612no—
2239C22×C4—614no—
2240C22×C4—612no—
2241C22×C4—612no—
2242C22×C4—612no—
2243C22×C4—612no—
2244C22×C4—612no—
2245C22×C4—612no—
2246C22×C4—612no—
2247C22×C4—612no—
2248C22×C4—612no—
2249C22×C4—614no—
2250C22×C4—614no—
2251C22×C4—614no—
2252C22×C4—1228no—
2253C22×C4—2444no—
2254C22×C4—2448no—
2255C22×C4—2444no—
2256C22×C4—2442no—
2257C22×C4—2444no—
2258C22×C4—2442no—
2259C22×C4C23×D6111yescharacteristic
2260C22×C4C23×D6111yescharacteristic
2261C22×C4C23×D6111yescharacteristic
2262C22×C4C23×D6111yescharacteristic
2263C22×C4C23×D6111yescharacteristic
2264C22×C4C23×D6112yes—
2265C22×C4C23×D6112yes—
2266C22×C4C23×D6112yes—
2267C22×C4C23×D6114yes—
2268C22×C4C23×D6112yes—
2269C22×C4C23×D6114yes—
2270C22×C4C23×D6114yes—
2271C22×C4C23×D6111yescharacteristic
2272C4⋊C4—612no—
2273C4⋊C4—612no—
2274C4⋊C4—614no—
2275C4⋊C4—614no—
2276C4⋊C4—614no—
2277C4⋊C4—612no—
2278C4⋊C4—612no—
2279C4⋊C4—614no—
2280C4⋊C4—614no—
2281C4⋊C4—614no—
2282C4⋊C4—614no—
2283C4⋊C4—614no—
2284C4⋊C4—612no—
2285C4⋊C4—612no—
2286C4⋊C4—612no—
2287C4⋊C4—614no—
2288C4⋊C4—611no—
2289C4⋊C4—612no—
2290C4⋊C4—612no—
2291C4⋊C4—612no—
2292C4⋊C4—612no—
2293C4⋊C4—612no—
2294C4⋊C4—612no—
2295C4⋊C4—612no—
2296C4⋊C4—614no—
2297C4⋊C4—614no—
2298C4⋊C4—614no—
2299C4⋊C4—614no—
2300C4⋊C4—614no—
2301C4⋊C4—614no—
2302C4⋊C4—614no—
2303C4⋊C4—612no—
2304C4⋊C4—614no—
2305C4⋊C4—612no—
2306C4⋊C4—612no—
2307C4⋊C4—612no—
2308C4⋊C4—612no—
2309C4⋊C4—612no—
2310C4⋊C4—612no—
2311C4⋊C4—612no—
2312C4⋊C4—611no—
2313C4⋊C4—612no—
2314C4⋊C4—612no—
2315C4⋊C4—614no—
2316C4⋊C4—614no—
2317C4⋊C4—614no—
2318C4⋊C4—614no—
2319C4⋊C4—614no—
2320C4⋊C4C23×D6111yescharacteristic
2321C4⋊C4C23×D6112yes—
2322C4⋊C4C23×D6111yescharacteristic
2323C4⋊C4C23×D6112yes—
2324C4⋊C4C23×D6114yes—
2325C4⋊C4C23×D6114yes—
2326C4⋊C4C23×D6114yes—
2327C4⋊C4C23×D6111yescharacteristic
2328C4⋊C4C23×D6112yes—
2329C4⋊C4C23×D6111yescharacteristic
2330C4⋊C4C23×D6111yescharacteristic
2331C4⋊C4C23×D6112yes—
2332C4⋊C4C23×D6112yes—
2333C4⋊C4C23×D6111yescharacteristic
2334C4⋊C4C23×D6114yes—
2335C4⋊C4C23×D6112yes—
2336C22⋊C4—614no—
2337C22⋊C4—614no—
2338C22⋊C4—614no—
2339C22⋊C4—614no—
2340C22⋊C4—614no—
2341C22⋊C4—614no—
2342C22⋊C4—614no—
2343C22⋊C4—614no—
2344C22⋊C4—614no—
2345C22⋊C4—612no—
2346C22⋊C4—612no—
2347C22⋊C4—612no—
2348C22⋊C4—612no—
2349C22⋊C4—612no—
2350C22⋊C4—612no—
2351C22⋊C4—614no—
2352C22⋊C4—612no—
2353C22⋊C4—614no—
2354C22⋊C4—612no—
2355C22⋊C4—612no—
2356C22⋊C4—612no—
2357C22⋊C4—612no—
2358C22⋊C4—614no—
2359C22⋊C4—612no—
2360C22⋊C4—614no—
2361C22⋊C4—612no—
2362C22⋊C4—612no—
2363C22⋊C4—612no—
2364C22⋊C4—612no—
2365C22⋊C4—612no—
2366C22⋊C4—612no—
2367C22⋊C4—612no—
2368C22⋊C4—612no—
2369C22⋊C4—614no—
2370C22⋊C4—614no—
2371C22⋊C4—614no—
2372C22⋊C4—614no—
2373C22⋊C4—614no—
2374C22⋊C4—614no—
2375C22⋊C4—612no—
2376C22⋊C4—614no—
2377C22⋊C4—614no—
2378C22⋊C4C23×D6112yes—
2379C22⋊C4C23×D6114yes—
2380C22⋊C4C23×D6114yes—
2381C22⋊C4C23×D6114yes—
2382C22⋊C4C23×D6114yes—
2383C22⋊C4C23×D6114yes—
2384C22⋊C4C23×D6112yes—
2385C22⋊C4C23×D6112yes—
2386C22⋊C4C23×D6114yes—
2387C22⋊C4C23×D6112yes—
2388C22⋊C4C23×D6112yes—
2389C22⋊C4C23×D6112yes—
2390C22⋊C4C23×D6114yes—
2391C22⋊C4C23×D6112yes—
2392C22⋊C4C23×D6112yes—
2393C22⋊C4C23×D6112yes—
2394C42—611no—
2395C42—612no—
2396C42—611no—
2397C42—611no—
2398C42—611no—
2399C42—611no—
2400C42—611no—
2401C42—614no—
2402C42—611no—
2403C42—612no—
2404C42—612no—
2405C42—612no—
2406C42—612no—
2407C42—611no—
2408C42—611no—
2409C42—611no—
2410C42—611no—
2411C42—612no—
2412C42—611no—
2413C42—612no—
2414C42—611no—
2415C42—612no—
2416C42—612no—
2417C42—611no—
2418C42—611no—
2419C42—611no—
2420C42—612no—
2421C42—612no—
2422C42—614no—
2423C42—614no—
2424C42—614no—
2425C42—612no—
2426C42—614no—
2427C42—614no—
2428C42—614no—
2429C42—612no—
2430C42C23×D6112yes—
2431C42C23×D6112yes—
2432C42C23×D6112yes—
2433C42C23×D6112yes—
2434C42C23×D6114yes—
2435C42C23×D6112yes—
2436C23—22no—
2437C23—22no—
2438C23—24no—
2439C23—41no—
2440C23—42no—
2441C23—42no—
2442C23—612no—
2443C23—612no—
2444C23—612no—
2445C23—1228no—
2446C23—1224no—
2447C23—1224no—
2448C23—2444no—
2449C23—2444no—
2450C23—2442no—
2451C23C24×D6114yes—
2452C23C24×D6111yescharacteristic
2453C23C24×D6112yes—
2454C23C24×D6111yescharacteristic
2455C23C24×D6111yescharacteristic
2456Q8—22no—
2457Q8—44no—
2458Q8—614no—
2459Q8—1228no—
2460Q8—1224no—
2461Q8—1224no—
2462Q8—1224no—
2463Q8—1222no—
2464Q8—1222no—
2465Q8—2442no—
2466Q8—2444no—
2467Q8—2442no—
2468D4—24no—
2469D4—28no—
2470D4—24no—
2471D4—24no—
2472D4—24no—
2473D4—22no—
2474D4—44no—
2475D4—44no—
2476D4—42no—
2477D4—44no—
2478D4—618no—
2479D4—614no—
2480D4—1224no—
2481D4—1228no—
2482D4—1224no—
2483D4—1228no—
2484D4—1224no—
2485D4—1228no—
2486D4—1224no—
2487D4—1224no—
2488D4—1224no—
2489D4—1222no—
2490D4—1222no—
2491D4—2444no—
2492D4—2444no—
2493D4—2444no—
2494D4—2442no—
2495D4—2444no—
2496D4—2442no—
2497D4—2442no—
2498C2×C4—22no—
2499C2×C4—24no—
2500C2×C4—22no—
2501C2×C4—22no—
2502C2×C4—22no—
2503C2×C4—22no—
2504C2×C4—24no—
2505C2×C4—44no—
2506C2×C4—42no—
2507C2×C4—42no—
2508C2×C4—44no—
2509C2×C4—44no—
2510C2×C4—611no—
2511C2×C4—612no—
2512C2×C4—618no—
2513C2×C4—611no—
2514C2×C4—611no—
2515C2×C4—611no—
2516C2×C4—611no—
2517C2×C4—611no—
2518C2×C4—612no—
2519C2×C4—614no—
2520C2×C4—612no—
2521C2×C4—611no—
2522C2×C4—611no—
2523C2×C4—612no—
2524C2×C4—612no—
2525C2×C4—614no—
2526C2×C4—1224no—
2527C2×C4—1224no—
2528C2×C4—1224no—
2529C2×C4—1224no—
2530C2×C4—1224no—
2531C2×C4—1228no—
2532C2×C4—1224no—
2533C2×C4—1222no—
2534C2×C4—1222no—
2535C2×C4—1228no—
2536C2×C4—1222no—
2537C2×C4—1228no—
2538C2×C4—1228no—
2539C2×C4—1224no—
2540C2×C4—1224no—
2541C2×C4—1222no—
2542C2×C4—1222no—
2543C2×C4—1224no—
2544C2×C4—1224no—
2545C2×C4—2442no—
2546C2×C4—2444no—
2547C2×C4—2444no—
2548C2×C4—2442no—
2549C2×C4—2442no—
2550C2×C4—2442no—
2551C2×C4—2442no—
2552C2×C4—2442no—
2553C2×C4—2444no—
2554C2×C4—2442no—
2555C2×C4—2441no—
2556C2×C4—2444no—
2557C2×C4—2441no—
2558C2×C4—2441no—
2559C2×C4—2442no—
2560C2×C4—2441no—
2561C2×C4—2441no—
2562C2×C4—2441no—
2563C2×C4—2441no—
2564C2×C4—2442no—
2565C2×C4#41×D6114yes—
2566C2×C4C24×D6112yes—
2567C2×C4C24×D6111yescharacteristic
2568C2×C4C24×D6112yes—
2569C2×C4C24×D6111yescharacteristic
2570C2×C4C24×D6112yes—
2571C2×C4C24×D6114yes—
2572C2×C4C24×D6112yes—
2573C2×C4C24×D6112yes—
2574C2×C4C24×D6112yes—
2575C2×C4C24×D6112yes—
2576C2×C4C24×D6111yescharacteristic
2577C2×C4C24×D6111yescharacteristic
2578C22—21no—
2579C22—21no—
2580C22—21no—
2581C22—21no—
2582C22—21no—
2583C22—22no—
2584C22—24no—
2585C22—24no—
2586C22—21no—
2587C22—22no—
2588C22—22no—
2589C22—24no—
2590C22—21no—
2591C22—44no—
2592C22—84no—
2593C22—614no—
2594C22—1222no—
2595C22—1222no—
2596C22—1222no—
2597C22—1222no—
2598C22—1222no—
2599C22—1222no—
2600C22—1222no—
2601C22—1222no—
2602C22—4888no—
2603C22—2448no—
2604C22C2×#41×D6112yes—
2605C22#1684059712yes—
2606C22C25×D6111yescharacteristic
2607C4—21no—
2608C4—21no—
2609C4—22no—
2610C4—22no—
2611C4—22no—
2612C4—22no—
2613C4—22no—
2614C4—22no—
2615C4—24no—
2616C4—22no—
2617C4—614no—
2618C4—612no—
2619C4—1222no—
2620C4—1222no—
2621C4—1224no—
2622C4—1221no—
2623C4—1221no—
2624C4—1224no—
2625C4—1221no—
2626C4—1222no—
2627C4—1221no—
2628C4—1221no—
2629C4—1221no—
2630C4—1221no—
2631C4—1222no—
2632C4C2×#41×D6112yes—
2633C4C2×#41×D6112yes—
2634C2—22no—
2635C2—22no—
2636C2—41no—
2637C2—44no—
2638C2—42no—
2639C2—1224no—
2640C2—2442no—
2641C2—2442no—
2642C2C22×#41×D6111yescharacteristic
2643C2#585×D6111yescharacteristic
2644C2C2×#1684059711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3494C2
hypercenter#3494D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3494

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21459919C2semidirect
2. #21459882C2semidirect
3. #21459880C2semidirect
4. #21459803C2semidirect
5. #21459754C2semidirect
6. #21459752C2semidirect
7. #21459738C2semidirect
8. #21459736C2semidirect
9. #21459711C2semidirect
10. #21459710C2semidirect
11. #21459642C2semidirect
12. #21459611C2semidirect
13. #21459571C2semidirect
14. #21459559C2semidirect
15. #21459549C2semidirect
16. #21459491C2semidirect
17. #21459484C2semidirect
18. #21459431C2semidirect
19. #21459426C2semidirect
20. #21459424C2semidirect
21. #21459413C2semidirect
22. #21459376C2semidirect
23. #21459374C2semidirect
24. #21459253C2semidirect
25. #21459245C2semidirect
26. #21459234C2semidirect
27. #21459232C2semidirect
28. #21459114C2semidirect
29. #21459111C2semidirect
30. C2×#16840293C2semidirect
31. #529×D61C2semidirect
32. #21459030C2semidirect
33. #21459023C2semidirect
34. C2×#16840230C2semidirect
35. C61×#3494C2semidirect
39. #16840496C22semidirect
40. #16840495C22semidirect
41. #16840495C22semidirect
42. #16840494C22semidirect
43. #16840489C22semidirect
44. #16840487C22semidirect
45. #16840483C22semidirect
46. #16840482C22semidirect
47. #16840482C22semidirect
48. #16840480C22semidirect
49. #16840479C22semidirect
50. #16840479C22semidirect
51. #16840474C22semidirect
52. #16840473C22semidirect
53. #16840471C22semidirect
54. #16840470C22semidirect
55. #16840468C22semidirect
56. #16840467C22semidirect
57. #16840466C22semidirect
58. #16840461C22semidirect
59. #16840461C22semidirect
60. #16840460C22semidirect
61. #16840459C22semidirect
62. #16840459C22semidirect
63. #16840458C22semidirect
64. #16840457C22semidirect
65. #16840457C22semidirect
66. #16840456C22semidirect
67. #16840455C22semidirect
68. #16840455C22semidirect
69. #16840455C22semidirect
70. #16840451C22semidirect
71. #16840451C22semidirect
72. #16840451C22semidirect
73. #16840449C22semidirect
74. #16840449C22semidirect
75. #16840449C22semidirect
76. #16840448C22semidirect
77. #16840447C22semidirect
78. #16840447C22semidirect
79. #16840445C22semidirect
80. #16840445C22semidirect
81. #16840442C22semidirect
82. #16840442C22semidirect
83. #16840441C22semidirect
84. #16840441C22semidirect
85. #16840439C22semidirect
86. #16840438C22semidirect
87. #16840438C22semidirect
88. #16840438C22semidirect
89. #16840437C22semidirect
90. #16840435C22semidirect
91. #16840435C22semidirect
93. D4×Dic122C22semidirect
94. #16840421C22semidirect
96. #16840418C22semidirect
97. #16840418C22semidirect
98. #16840417C22semidirect
99. #16840411C22semidirect
100. #16840410C22semidirect
102. #16840409C22semidirect
103. #16840409C22semidirect
104. #16840408C22semidirect
106. #16840401C22semidirect
107. #16840400C22semidirect
108. #16840399C22semidirect
109. #16840399C22semidirect
110. #16840399C22semidirect
113. #16840392C22semidirect
114. #16840390C22semidirect
115. #16840389C22semidirect
116. #16840386C22semidirect
117. #16840386C22semidirect
118. #16840383C22semidirect
119. #16840381C22semidirect
120. #16840380C22semidirect
121. #16840379C22semidirect
122. #16840377C22semidirect
123. #16840377C22semidirect
124. #16840376C22semidirect
125. #16840375C22semidirect
126. #16840375C22semidirect
127. #16840374C22semidirect
128. #16840370C22semidirect
129. #16840369C22semidirect
130. #16840366C22semidirect
131. #16840365C22semidirect
132. #16840363C22semidirect
133. #16840362C22semidirect
134. #16840361C22semidirect
135. #16840358C22semidirect
136. #16840355C22semidirect
137. #16840348C22semidirect
138. #16840347C22semidirect
139. #16840344C22semidirect
142. #16840341C22semidirect
143. #16840340C22semidirect
144. #16840338C22semidirect
145. #16840338C22semidirect
146. #16840335C22semidirect
147. #16840332C22semidirect
150. #16840325C22semidirect
151. #16840319C22semidirect
152. #16840317C22semidirect
153. #16840317C22semidirect
154. #16840317C22semidirect
155. #16840315C22semidirect
156. #16840314C22semidirect
157. #16840314C22semidirect
158. #16840314C22semidirect
159. #16840310C22semidirect
160. #16840310C22semidirect
161. #16840308C22semidirect
162. #16840307C22semidirect
163. #16840307C22semidirect
164. #16840307C22semidirect
165. #16840307C22semidirect
166. #16840299C22semidirect
167. #16840298C22semidirect
168. #16840298C22semidirect
169. #16840298C22semidirect
170. #16840297C22semidirect
171. #16840297C22semidirect
172. #16840296C22semidirect
173. #16840295C22semidirect
174. #16840295C22semidirect
175. #16840294C22semidirect
176. #16840294C22semidirect
177. #16840294C22semidirect
178. #16840294C22semidirect
179. #16840293C22semidirect
180. #16840293C22semidirect
181. #16840293C22semidirect
182. #16840293C22semidirect
183. #16840293C22semidirect
184. #16840293C22semidirect
185. #16840293C22semidirect
186. #16840293C22semidirect
187. #16840293C22semidirect
188. #16840293C22semidirect
189. #16840293C22semidirect
190. #16840293C22semidirect
191. #16840292C22semidirect
192. #16840292C22semidirect
193. #16840292C22semidirect
194. #16840291C22semidirect
195. #16840291C22semidirect
196. #16840291C22semidirect
197. #16840291C22semidirect
198. #16840290C22semidirect
199. #16840289C22semidirect
200. #16840289C22semidirect
201. #16840289C22semidirect
202. #16840289C22semidirect
203. #16840289C22semidirect
204. C2×#14519770C22semidirect
205. #126×D61C22semidirect
206. C2×#14519768C22semidirect
207. #125×D61C22semidirect
208. C2×#14519764C22semidirect
209. #124×D61C22semidirect
212. #16840272C22semidirect
213. #16840272C22semidirect
214. #16840272C22semidirect
215. #16840270C22semidirect
216. #16840269C22semidirect
217. #16840268C22semidirect
218. #16840268C22semidirect
219. #16840268C22semidirect
220. C2×#14519758C22semidirect
221. #123×D61C22semidirect
222. C2×#14519756C22semidirect
223. C22⋊Q8×D61C22semidirect
226. #16840243C22semidirect
228. #16840242C22semidirect
229. #16840241C22semidirect
230. #16840241C22semidirect
231. #16840241C22semidirect
232. #16840241C22semidirect
233. #16840239C22semidirect
234. #16840239C22semidirect
235. #16840238C22semidirect
236. #16840235C22semidirect
237. #16840234C22semidirect
238. #16840234C22semidirect
239. #41×Dic61C22semidirect
240. #41×Dic61C22semidirect
243. #16840230C22semidirect
244. #16840230C22semidirect
245. #16840230C22semidirect
246. #16840230C22semidirect
247. #16840230C22semidirect
248. #16840230C22semidirect
249. #16840230C22semidirect
250. #16840230C22semidirect
251. #16840230C22semidirect
252. #16840230C22semidirect
253. #16840230C22semidirect
254. #16840230C22semidirect
255. C4×#11758224C22semidirect
256. C4×#11758224C22semidirect
257. C4×#11758224C22semidirect
258. C4×#11758224C22semidirect
259. C4×#11758224C22semidirect
260. C4×#11758224C22semidirect
261. C4×#11758224C22semidirect
262. C2×#14519742C22semidirect
263. C2×#14519742C22semidirect
264. C2×#14519742C22semidirect
265. C2×#14519742C22semidirect
266. C4×Q8×D61C22semidirect
267. C2×D4×Dic61C22semidirect
268. C2×D4×Dic61C22semidirect
269. C2×#14519739C22semidirect
270. C2×#14519739C22semidirect
271. C2×#14519737C22semidirect
272. C2×#14519737C22semidirect
273. C2×#14519737C22semidirect
274. C4×D4×D61C22semidirect
275. C4×D4×D61C22semidirect
276. C4×D4×D61C22semidirect
277. C2×#14519734C22semidirect
278. C2×#14519733C22semidirect
279. #117×D61C22semidirect
280. C22×C4×Dic61C22semidirect
281. C2×C42×D61C22semidirect
282. C61×#555C22semidirect
283. C61×#553C22semidirect
284. C61×#553C22semidirect
285. C61×#551C22semidirect
286. C61×#547C22semidirect
287. C61×#546C22semidirect
288. C61×#544C22semidirect
289. C61×#542C22semidirect
290. C61×#540C22semidirect
291. C61×#535C22semidirect
292. C61×#532C22semidirect
293. C61×#529C22semidirect
294. C61×#525C22semidirect
296. C61×#520C22semidirect
297. C61×#518C22semidirect
298. C2×#117×C61C22semidirect
906. #11758222#41semidirect
1327. #3494D61semidirect
1374. #555C2×D61semidirect
1393. #553C2×D61semidirect
1394. #553C2×D61semidirect
1417. #551C2×D61semidirect
1427. #547C2×D61semidirect
1438. #546C2×D61semidirect
1444. #544C2×D61semidirect
1454. #542C2×D61semidirect
1464. #540C2×D61semidirect
1482. #535C2×D61semidirect
1498. #532C2×D61semidirect
1537. #529C2×D61semidirect
1554. #525C2×D61semidirect
1569. #520C2×D61semidirect
1576. #518C2×D61semidirect
1618. C2×#117C2×D61semidirect
1621. C61#62810semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214599192
#214598822
#214598802
#214598032
#214597542
#214597522
#214597382
#214597362
#214597112
#214597102
#214596422
#214596112
#214595712
#214595592
#214595492
#214594912
#214594842
#214594312
#214594262
#214594242
#214594132
#214593762
#214593742
#214592532
#214592452
#214592342
#214592322
#214591142
#214591112
C2×#168402932
#529×D612
#214590302
#214590232
C2×#168402302
C61×#34942
#6281061