Finite Group Databasebeta

← #30588536

Subgroups — #30588536

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#21459923C212yesmaximal, complemented
2#21459886C212yesmaximal, complemented
3#21459884C214yesmaximal, complemented
4#21459807C212yesmaximal, complemented
5#21459758C212yesmaximal, complemented
6#21459756C214yesmaximal, complemented
7#21459741C211yesmaximal, characteristic, complemented
8#21459734C212yesmaximal, complemented
9#21459708C212yesmaximal, complemented
10#21459640C211yesmaximal, characteristic, complemented
11#21459609C211yesmaximal, characteristic, complemented
12#21459569C212yesmaximal, complemented
13#21459561C211yesmaximal, characteristic, complemented
14#21459552C212yesmaximal, complemented
15#21459544C211yesmaximal, characteristic, complemented
16#21459497C211yesmaximal, characteristic, complemented
17#21459486C211yesmaximal, characteristic, complemented
18#21459438C212yesmaximal, complemented
19#21459428C212yesmaximal, complemented
20#21459422C214yesmaximal, complemented
21#21459415C212yesmaximal, complemented
22#21459380C212yesmaximal, complemented
23#21459374C214yesmaximal, complemented
24#21459245C212yesmaximal, complemented
25#21459243C211yesmaximal, characteristic, complemented
26#21459239C212yesmaximal, complemented
27#21459232C211yesmaximal, characteristic, complemented
28#21459116C211yesmaximal, characteristic, complemented
29#21459113C212yesmaximal, complemented
30C2×#16840291C211yesmaximal, characteristic, complemented
31#529×D61C212yesmaximal, complemented
32#21459028C211yesmaximal, characteristic, complemented
33#21459023C211yesmaximal, characteristic, complemented
34C4×#41×D61C211yesmaximal, characteristic, complemented
35C61×#3510C211yesmaximal, characteristic, complemented
36C2×#14519825C2211yescharacteristic
37C2×#14519822C2211yescharacteristic
38C2×#41×D61C2211yescharacteristic
39#16840496C2214yescomplemented
40#16840495C2214yescomplemented
41#16840490C2212yescomplemented
42#16840490C2212yescomplemented
43#16840485C2212yescomplemented
44#16840481C2214yescomplemented
45#16840480C2214yescomplemented
46#16840479C2214yescomplemented
47#16840477C2212yescomplemented
48#16840474C2214yescomplemented
49#16840472C2212yescomplemented
50#16840472C2212yescomplemented
51#16840472C2212yescomplemented
52#16840466C2214yescomplemented
53#16840466C2214yescomplemented
54#16840466C2214yescomplemented
55#16840463C2214yescomplemented
56#16840463C2214yescomplemented
57#16840462C2214yescomplemented
58#16840462C2212yescomplemented
59#16840462C2212yescomplemented
60#16840462C2212yescomplemented
61#16840462C2212yescomplemented
62#16840461C2214yescomplemented
63#16840461C2214yescomplemented
64#16840461C2214yescomplemented
65#16840457C2214yescomplemented
66#16840457C2214yescomplemented
67#16840457C2214yescomplemented
68#16840456C2214yescomplemented
69#16840453C2212yescomplemented
70#16840453C2212yescomplemented
71#16840453C2212yescomplemented
72#16840453C2212yescomplemented
73#16840449C2214yescomplemented
74#16840448C2214yescomplemented
75#16840448C2214yescomplemented
76#16840448C2214yescomplemented
77#16840446C2214yescomplemented
78#16840445C2214yescomplemented
79#16840445C2214yescomplemented
80#16840442C2214yescomplemented
81#16840441C2214yescomplemented
82#16840440C2214yescomplemented
83#16840440C2214yescomplemented
84#16840439C2214yescomplemented
85#16840438C2214yescomplemented
86#16840437C2214yescomplemented
87#16840437C2214yescomplemented
88#16840436C2214yescomplemented
89#16840436C2214yescomplemented
90#16840432C2212yes—
91#16840427C2212yescomplemented
92#16840420C2212yes—
93#16840420C2212yescomplemented
94#16840420C2212yescomplemented
95#16840420C2212yescomplemented
96#16840417C2212yescomplemented
97#16840415C2212yescomplemented
98#16840414C2214yescomplemented
99#16840410C2214yescomplemented
100#16840405C2212yes—
101#16840405C2212yescomplemented
102#16840405C2214yescomplemented
103#16840405C2212yescomplemented
104#16840405C2212yescomplemented
105#16840404C2214yescomplemented
106#16840404C2214yescomplemented
107#16840402C2214yescomplemented
108#16840402C2214yescomplemented
109#16840402C2214yescomplemented
110#16840399C2214yes—
111#16840397C2212yes—
112#16840394C2214yes—
113#16840390C2211yescharacteristic, complemented
114#16840390C2211yescharacteristic, complemented
115#16840389C2212yescomplemented
116#16840389C2212yescomplemented
117#16840385C2212yescomplemented
118#16840384C2212yescomplemented
119#16840382C2214yescomplemented
120#16840381C2212yescomplemented
121#16840381C2212yescomplemented
122#16840379C2212yescomplemented
123#16840377C2212yescomplemented
124#16840376C2214yescomplemented
125#16840374C2212yescomplemented
126#16840373C2212yescomplemented
127#16840372C2212yescomplemented
128#16840370C2212yescomplemented
129#16840369C2214yescomplemented
130#16840367C2212yescomplemented
131#16840366C2212yescomplemented
132#16840365C2212yescomplemented
133#16840364C2214yescomplemented
134#16840363C2212yescomplemented
135#16840358C2214yescomplemented
136#16840356C2214yescomplemented
137#16840355C2214yescomplemented
138#16840351C2214yescomplemented
139#16840347C2214yescomplemented
140#16840346C2214yescomplemented
141#16840342C2212yescomplemented
142#16840341C2212yes—
143#16840340C2211yescharacteristic
144#16840340C2211yescharacteristic, complemented
145#16840336C2211yescharacteristic, complemented
146#16840335C2212yescomplemented
147#16840332C2212yescomplemented
148#16840330C2212yescomplemented
149#16840329C2211yescharacteristic, complemented
150#16840328C2212yes—
151#16840318C2212yescomplemented
152#16840317C2212yescomplemented
153#16840317C2211yescharacteristic, complemented
154#16840317C2211yescharacteristic, complemented
155#16840316C2212yescomplemented
156#16840314C2212yescomplemented
157#16840314C2214yescomplemented
158#16840313C2211yescharacteristic, complemented
159#16840313C2211yescharacteristic, complemented
160#16840312C2211yescharacteristic, complemented
161#16840311C2212yescomplemented
162#16840311C2214yescomplemented
163#16840310C2212yescomplemented
164#16840309C2212yescomplemented
165#16840307C2212yescomplemented
166#16840299C2212yescomplemented
167#16840299C2212yescomplemented
168#16840299C2212yescomplemented
169#16840298C2212yescomplemented
170#16840298C2212yescomplemented
171#16840298C2212yescomplemented
172#16840297C2211yescharacteristic, complemented
173#16840297C2211yescharacteristic, complemented
174#16840297C2211yescharacteristic, complemented
175#16840297C2211yescharacteristic, complemented
176#16840296C2212yescomplemented
177#16840296C2212yescomplemented
178#16840295C2214yescomplemented
179#16840295C2214yescomplemented
180#16840295C2214yescomplemented
181#16840295C2214yescomplemented
182#16840295C2214yescomplemented
183#16840294C2212yescomplemented
184#16840293C2212yescomplemented
185#16840292C2214yescomplemented
186#16840291C2212yescomplemented
187#16840291C2212yescomplemented
188#16840291C2212yescomplemented
189#16840291C2212yescomplemented
190#16840291C2214yescomplemented
191#16840291C2212yescomplemented
192#16840291C2212yescomplemented
193#16840291C2212yescomplemented
194#16840291C2212yescomplemented
195#16840291C2212yescomplemented
196#16840291C2212yescomplemented
197#16840290C2214yescomplemented
198#16840290C2214yescomplemented
199#16840289C2214yescomplemented
200#16840289C2214yescomplemented
201#16840289C2214yescomplemented
202#16840289C2214yescomplemented
203C2×#14519770C2212yescomplemented
204#126×D61C2214yescomplemented
205C2×#14519769C2211yescharacteristic, complemented
206#125×D61C2212yescomplemented
207#124×D61C2212yescomplemented
208#16840275C2214yescomplemented
209#16840275C2212yescomplemented
210#16840275C2212yescomplemented
211#16840275C2212yescomplemented
212#16840274C2211yescharacteristic
213#16840274C2211yescharacteristic, complemented
214#16840272C2212yes—
215#16840271C2214yescomplemented
216#16840270C2214yescomplemented
217#16840270C2214yescomplemented
218#16840268C2214yescomplemented
219C2×#14519759C2212yescomplemented
220#123×D61C2214yescomplemented
221C2×#14519753C2211yescharacteristic, complemented
222C22⋊Q8×D61C2212yescomplemented
223C2×#14519748C2211yescharacteristic
224#121×D61C2212yes—
225#16840244C2212yescomplemented
226#16840244C2212yescomplemented
227#16840242C2211yescharacteristic
228#16840242C2211yescharacteristic
229#16840242C2211yescharacteristic, complemented
230#16840242C2211yescharacteristic, complemented
231#16840242C2214yescomplemented
232#16840241C2212yescomplemented
233#16840241C2212yescomplemented
234#16840238C2212yescomplemented
235#16840238C2212yescomplemented
236#16840235C2214yescomplemented
237#16840234C2212yescomplemented
238#16840234C2212yescomplemented
239#41×Dic61C2211yescharacteristic, complemented
240C4×#11758226C2212yescomplemented
241C4×#11758226C2211yescharacteristic, complemented
242C4×#11758226C2211yescharacteristic, complemented
243C4×#11758226C2212yescomplemented
244C4×#11758226C2212yescomplemented
245C4×#11758226C2212yescomplemented
246C4×#11758222C2211yescharacteristic
247C4×#11758222C2212yescomplemented
248#16840230C2211yescharacteristic
249#16840230C2211yescharacteristic, complemented
250#16840230C2212yescomplemented
251#16840230C2211yescharacteristic, complemented
252#16840230C2214yescomplemented
253#16840230C2214yescomplemented
254C4×#11758224C2212yescomplemented
255C4×#11758224C2212yescomplemented
256C4×#11758224C2212yescomplemented
257C4×#11758224C2211yescharacteristic, complemented
258C4×#11758224C2211yescharacteristic, complemented
259C4×#11758224C2212yescomplemented
260C4×#11758224C2214yescomplemented
261C2×Q8×Dic61C2211yescharacteristic, complemented
262C4×Q8×D61C2212yescomplemented
263C4×Q8×D61C2211yescharacteristic, complemented
264C4×Q8×D61C2211yescharacteristic, complemented
265C4×Q8×D61C2212yescomplemented
266C2×D4×Dic61C2211yescharacteristic, complemented
267C2×#14519737C2214yescomplemented
268C2×#14519737C2212yescomplemented
269C4×D4×D61C2212yescomplemented
270C4×D4×D61C2212yescomplemented
271C4×D4×D61C2211yescharacteristic, complemented
272C4×D4×D61C2212yescomplemented
273C4×D4×D61C2211yescharacteristic, complemented
274C4×D4×D61C2212yescomplemented
275C4×D4×D61C2214yescomplemented
276C2×#14519733C2212yescomplemented
277#117×D61C2211yescharacteristic, complemented
278#117×D61C2212yescomplemented
279#117×D61C2214yescomplemented
280C2×C42×D61C2212yescomplemented
281C2×C42×D61C2211yescharacteristic, complemented
282C61×#559C2212yescomplemented
283C61×#559C2212yescomplemented
284C61×#556C2212yescomplemented
285C61×#556C2212yescomplemented
286C61×#551C2214yescomplemented
287C61×#551C2214yescomplemented
288C61×#542C2212yescomplemented
289C61×#542C2212yescomplemented
290C61×#536C2211yescharacteristic, complemented
291C61×#535C2211yescharacteristic
292C61×#533C2211yescharacteristic, complemented
293C61×#529C2212yescomplemented
294C61×#529C2212yescomplemented
295C2×#124×C61C2211yescharacteristic, complemented
296C61×#519C2211yescharacteristic, complemented
297C61×#518C2211yescharacteristic, complemented
298C4×#41×C61C2211yescharacteristic, complemented
299#14519825—28no—
300#14519822—28no—
301C2×#11758226C2311yescharacteristic
302C2×#11758226C2312yes—
303C2×#11758226C2312yes—
304C2×#11758226C2312yes—
305C2×#11758226C2312yes—
306C2×#11758222C2312yes—
307C2×#11758222C2311yescharacteristic
308C2×#11758222C2311yescharacteristic
309C2×#11758222C2314yes—
310C2×#11758222C2314yes—
311C2×#11758222C2311yescharacteristic
312C2×#11758224C2312yes—
313C2×#11758224C2311yescharacteristic
314C2×#11758224C2312yes—
315C2×#11758224C2312yes—
316C2×#11758224C2314yes—
317#41×D61—28no—
318C2×Q8×D61C2311yescharacteristic
319C2×Q8×D61C2312yes—
320C2×Q8×D61C2312yes—
321C22×C22⋊D61C2314yes—
322C22×C22⋊D61C2312yes—
323C2×D4×D61C2312yes—
324C2×D4×D61C2311yescharacteristic
325C2×D4×D61C2312yes—
326C2×D4×D61C2312yes—
327C2×D4×D61C2314yes—
328C23×Dic61C2312yes—
329C22×C4×D61C2312yes—
330C22×C4×D61C2311yescharacteristic
331C22×C4×D61C2312yes—
332C22×C4×D61C2311yescharacteristic
333C22×C4×D61C2312yes—
334C22×C4×D61C2311yescharacteristic
335C22×C4×D61C2314yes—
336#14519777C2312yes—
337#14519777C2312yes—
338#14519777C2311yescharacteristic
339#14519776C2314yes—
340#14519776C2312yes—
341#14519776C2312yes—
342#14519775C2314yes—
343#14519775C2314yes—
344#14519775C2312yes—
345#14519774C2311yescharacteristic
346#14519773C2314yes—
347#14519773C2312yes—
348#14519772C2312yes—
349#14519772C2314yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2312yes—
353#14519772C2312yes—
354#14519772C2314yes—
355#14519772C2312yes—
356#14519771C2314yes—
357#14519771C2314yes—
358#14519771C2314yes—
359#14519771C2314yes—
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#14519769C2312yes—
373#14519769C2312yes—
374#14519769C2312yes—
375#14519769C2312yes—
376#14519769C2314yes—
377#14519769C2312yes—
378#14519769C2312yes—
379#14519768C2312yes—
380#14519768C2314yes—
381#14519768C2312yes—
382#14519768C2312yes—
383#14519768C2312yes—
384#14519767C2314yes—
385#14519767C2314yes—
386#14519767C2314yes—
387#14519767C2314yes—
388#14519767C2314yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2314yes—
392#14519767C2314yes—
393#14519767C2314yes—
394#14519766C2312yes—
395#14519766C2312yes—
396#14519766C2312yes—
397#14519765C2314yes—
398#14519765C2311yescharacteristic
399#14519765C2311yescharacteristic
400#14519764C2314yes—
401#14519764C2312yes—
402#14519763C2314yes—
403#14519763C2314yes—
404#14519763C2314yes—
405#14519763C2314yes—
406#14519763C2314yes—
407#14519763C2314yes—
408#14519763C2314yes—
409#14519763C2314yes—
410#14519762C2314yes—
411#14519762C2314yes—
412#14519762C2314yes—
413#14519762C2314yes—
414#14519762C2312yes—
415#14519762C2312yes—
416#14519762C2312yes—
417#14519762C2312yes—
418#14519762C2314yes—
419#14519762C2314yes—
420#14519761C2314yes—
421#14519761C2314yes—
422#14519761C2312yes—
423#14519761C2312yes—
424#14519760C2314yes—
425#14519760C2314yes—
426#14519760C2314yes—
427#14519760C2314yes—
428#14519760C2314yes—
429#14519759C2314yes—
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#14519757C2314yes—
444#14519757C2311yescharacteristic
445#14519757C2311yescharacteristic
446#14519757C2311yescharacteristic
447#14519757C2311yescharacteristic
448#14519756C2314yes—
449#14519756C2312yes—
450#14519756C2312yes—
451#14519755C2314yes—
452#14519755C2314yes—
453#14519755C2314yes—
454#14519755C2314yes—
455#14519755C2314yes—
456#14519755C2314yes—
457#14519755C2314yes—
458#14519755C2314yes—
459#14519754C2314yes—
460#14519754C2314yes—
461#14519754C2314yes—
462#14519754C2314yes—
463#14519754C2314yes—
464#14519754C2314yes—
465#14519754C2314yes—
466#14519754C2314yes—
467#14519753C2312yes—
468#14519753C2312yes—
469#14519753C2312yes—
470#14519753C2312yes—
471#14519753C2312yes—
472#14519753C2312yes—
473#14519753C2314yes—
474#14519753C2314yes—
475#14519753C2312yes—
476#14519753C2312yes—
477#14519753C2312yes—
478#14519753C2312yes—
479#14519752C2314yes—
480#14519752C2312yes—
481#14519752C2311yescharacteristic
482#14519752C2311yescharacteristic
483#14519752C2311yescharacteristic
484#14519752C2311yescharacteristic
485#14519752C2312yes—
486#14519751C2314yes—
487#14519751C2312yes—
488#14519751C2312yes—
489#14519751C2312yes—
490#14519751C2312yes—
491#14519750C2314yes—
492#14519750C2314yes—
493#14519750C2314yes—
494#14519750C2314yes—
495#14519750C2314yes—
496#14519750C2314yes—
497#14519750C2314yes—
498#14519750C2314yes—
499#14519750C2314yes—
500#14519750C2314yes—
501#14519750C2314yes—
502#14519750C2314yes—
503#14519749C2314yes—
504#14519749C2314yes—
505#14519749C2314yes—
506#14519749C2314yes—
507#14519749C2314yes—
508#14519749C2314yes—
509#14519748C2314yes—
510#14519748C2314yes—
511#14519748C2312yes—
512#14519748C2312yes—
513#14519748C2312yes—
514#14519748C2312yes—
515#14519748C2312yes—
516#14519748C2312yes—
517#14519748C2312yes—
518#14519748C2312yes—
519#14519747C2314yes—
520#14519747C2314yes—
521#14519747C2312yes—
522#14519747C2312yes—
523#14519747C2314yes—
524#14519747C2314yes—
525#14519746C2314yes—
526#14519745C2314yes—
527#14519745C2314yes—
528Q8×Dic61C2312yes—
529Q8×Dic61C2312yes—
530Q8×Dic61C2311yescharacteristic
531Q8×Dic61C2311yescharacteristic
532Q8×Dic61C2312yes—
533Q8×Dic61C2312yes—
534Q8×Dic61C2312yes—
535Q8×Dic61C2312yes—
536C4×Dic122C2312yes—
537C4×Dic122C2314yes—
538C4×Dic122C2314yes—
539C4×Dic122C2312yes—
540C4×Dic122C2311yescharacteristic
541C4×Dic122C2311yescharacteristic
542C4×Dic122C2312yes—
543C4×Dic122C2314yes—
544C4×Dic122C2312yes—
545C4×Dic122C2312yes—
546C4×Dic122C2312yes—
547#14519742C2314yes—
548#14519742C2314yes—
549#14519742C2314yes—
550#14519742C2311yescharacteristic
551#14519742C2314yes—
552#14519742C2311yescharacteristic
553#14519742C2311yescharacteristic
554#14519742C2312yes—
555#14519742C2312yes—
556#14519742C2311yescharacteristic
557#14519742C2311yescharacteristic
558#14519742C2311yescharacteristic
559#14519742C2314yes—
560C4×D244C2312yes—
561C4×D244C2312yes—
562C4×D244C2312yes—
563C4×D244C2312yes—
564C4×D244C2312yes—
565C4×D244C2314yes—
566C4×D244C2312yes—
567C4×D244C2312yes—
568C4×D244C2312yes—
569C4×D244C2314yes—
570C4×D244C2311yescharacteristic
571C4×D244C2311yescharacteristic
572C4×D244C2312yes—
573C4×D244C2312yes—
574C4×D244C2312yes—
575C4×D244C2314yes—
576C4×D244C2312yes—
577D4×Dic61C2314yes—
578D4×Dic61C2312yes—
579D4×Dic61C2312yes—
580D4×Dic61C2312yes—
581D4×Dic61C2311yescharacteristic
582D4×Dic61C2312yes—
583D4×Dic61C2311yescharacteristic
584D4×Dic61C2314yes—
585D4×Dic61C2312yes—
586D4×Dic61C2312yes—
587#14519739C2312yes—
588#14519739C2312yes—
589#14519739C2314yes—
590#14519739C2314yes—
591#14519739C2311yescharacteristic
592#14519739C2311yescharacteristic
593#14519739C2312yes—
594#14519739C2311yescharacteristic
595#14519739C2312yes—
596#14519739C2312yes—
597#14519739C2312yes—
598#14519739C2314yes—
599#14519739C2311yescharacteristic
600#14519739C2311yescharacteristic
601#14519739C2311yescharacteristic
602#14519739C2312yes—
603#14519739C2312yes—
604C4×C22⋊D61C2314yes—
605C4×C22⋊D61C2314yes—
606C4×C22⋊D61C2312yes—
607C4×C22⋊D61C2312yes—
608C4×C22⋊D61C2314yes—
609C4×C22⋊D61C2314yes—
610C4×C22⋊D61C2312yes—
611C4×C22⋊D61C2314yes—
612C4×C22⋊D61C2312yes—
613C4×C22⋊D61C2314yes—
614C4×C22⋊D61C2312yes—
615C4×C22⋊D61C2312yes—
616C4×C22⋊D61C2314yes—
617C4×C22⋊D61C2314yes—
618#14519737C2314yes—
619#14519737C2314yes—
620#14519737C2314yes—
621#14519737C2314yes—
622#14519737C2314yes—
623#14519737C2314yes—
624#14519737C2314yes—
625#14519737C2314yes—
626#14519737C2314yes—
627#14519737C2314yes—
628#14519737C2314yes—
629#14519737C2314yes—
630#14519737C2312yes—
631#14519737C2314yes—
632#14519737C2314yes—
633#14519737C2314yes—
634#14519737C2312yes—
635#14519737C2312yes—
636#14519737C2312yes—
637#14519737C2312yes—
638#14519737C2312yes—
639#14519737C2314yes—
640#14519737C2312yes—
641#14519737C2314yes—
642#14519737C2312yes—
643#14519737C2312yes—
644#14519737C2312yes—
645#14519737C2314yes—
646#14519736C2314yes—
647#14519736C2311yescharacteristic
648#14519736C2312yes—
649#14519735C2312yes—
650#14519735C2312yes—
651#14519735C2312yes—
652#14519735C2312yes—
653#14519735C2311yescharacteristic
654#14519735C2312yes—
655#14519735C2311yescharacteristic
656#14519735C2312yes—
657#14519735C2312yes—
658#14519735C2314yes—
659#14519735C2312yes—
660#14519735C2312yes—
661#14519735C2312yes—
662#14519735C2312yes—
663#14519735C2314yes—
664#14519735C2314yes—
665#14519735C2312yes—
666#14519734C2314yes—
667#14519734C2314yes—
668#14519734C2314yes—
669#14519734C2314yes—
670#14519734C2314yes—
671#14519734C2314yes—
672#14519734C2312yes—
673#14519734C2312yes—
674#14519734C2312yes—
675#14519734C2312yes—
676#14519734C2312yes—
677#14519733C2314yes—
678#14519733C2314yes—
679#14519733C2312yes—
680#14519733C2312yes—
681#14519733C2314yes—
682#14519733C2314yes—
683#14519733C2312yes—
684#14519733C2314yes—
685#14519733C2314yes—
686#14519733C2314yes—
687#14519733C2314yes—
688C2×C4⋊Dic61C2311yescharacteristic
689C2×C4⋊Dic61C2311yescharacteristic
690C2×C4⋊Dic61C2312yes—
691C2×#11758196C2314yes—
692C2×#11758196C2312yes—
693C2×#11758196C2312yes—
694C2×#11758196C2312yes—
695C4⋊C4×D61C2312yes—
696C4⋊C4×D61C2314yes—
697C4⋊C4×D61C2314yes—
698C4⋊C4×D61C2312yes—
699C4⋊C4×D61C2311yescharacteristic
700C4⋊C4×D61C2312yes—
701C4⋊C4×D61C2314yes—
702C4⋊C4×D61C2311yescharacteristic
703C4⋊C4×D61C2314yes—
704C4⋊C4×D61C2312yes—
705C4⋊C4×D61C2312yes—
706C4⋊C4×D61C2312yes—
707C4⋊C4×D61C2314yes—
708C2×C22⋊Dic61C2312yes—
709C2×C22⋊Dic61C2312yes—
710C2×#11758198C2314yes—
711C2×#11758198C2312yes—
712C22⋊C4×D61C2312yes—
713C22⋊C4×D61C2312yes—
714C22⋊C4×D61C2312yes—
715C22⋊C4×D61C2314yes—
716C22⋊C4×D61C2314yes—
717C22⋊C4×D61C2314yes—
718C22⋊C4×D61C2314yes—
719C22⋊C4×D61C2314yes—
720C22⋊C4×D61C2314yes—
721C2×C4×Dic61C2311yescharacteristic
722C2×C4×Dic61C2311yescharacteristic
723C2×C4×Dic61C2312yes—
724C2×C4×Dic61C2311yescharacteristic
725C2×C4×Dic61C2312yes—
726C2×C4×Dic61C2312yes—
727C2×C4×Dic61C2312yes—
728C2×C4×Dic61C2314yes—
729C42×D61C2311yescharacteristic
730C42×D61C2312yes—
731C42×D61C2311yescharacteristic
732C42×D61C2312yes—
733C42×D61C2312yes—
734C42×D61C2312yes—
735C42×D61C2311yescharacteristic
736C42×D61C2312yes—
737C42×D61C2311yescharacteristic
738C42×D61C2311yescharacteristic
739C42×D61C2312yes—
740C42×D61C2311yescharacteristic
741C42×D61C2311yescharacteristic
742C42×D61C2312yes—
743C42×D61C2311yescharacteristic
744C42×D61C2314yes—
745C42×D61C2312yes—
746C42×D61C2314yes—
747C42×D61C2312yes—
748C2×#41×C61C2311yescharacteristic
749C22×Q8×C61C2311yescharacteristic
750C22×D4×C61C2311yescharacteristic
751C4⋊Q8×C61C2311yescharacteristic
752C4⋊Q8×C61C2311yescharacteristic
753C4⋊Q8×C61C2312yes—
754#127×C61C2312yes—
755#126×C61C2314yes—
756#126×C61C2314yes—
757#126×C61C2314yes—
758#126×C61C2314yes—
759#125×C61C2311yescharacteristic
760#125×C61C2311yescharacteristic
761#124×C61C2312yes—
762#124×C61C2312yes—
763#124×C61C2312yes—
764#124×C61C2314yes—
765#124×C61C2314yes—
766#124×C61C2312yes—
767#124×C61C2312yes—
768#124×C61C2312yes—
769#123×C61C2314yes—
770#123×C61C2314yes—
771#123×C61C2314yes—
772#123×C61C2314yes—
773#123×C61C2314yes—
774C22⋊Q8×C61C2312yes—
775C22⋊Q8×C61C2312yes—
776C22⋊Q8×C61C2312yes—
777C22⋊Q8×C61C2312yes—
778C22⋊Q8×C61C2314yes—
779C22⋊Q8×C61C2314yes—
780#121×C61C2312yes—
781#121×C61C2312yes—
782#120×C61C2314yes—
783C4×Q8×C61C2312yes—
784C4×Q8×C61C2312yes—
785C4×Q8×C61C2311yescharacteristic
786C4×Q8×C61C2311yescharacteristic
787C4×Q8×C61C2312yes—
788C4×Q8×C61C2312yes—
789C4×Q8×C61C2312yes—
790C4×Q8×C61C2312yes—
791C4×D4×C61C2312yes—
792C4×D4×C61C2312yes—
793C4×D4×C61C2312yes—
794C4×D4×C61C2312yes—
795C4×D4×C61C2314yes—
796C4×D4×C61C2311yescharacteristic
797C4×D4×C61C2311yescharacteristic
798C4×D4×C61C2312yes—
799C4×D4×C61C2312yes—
800C4×D4×C61C2314yes—
801#117×C61C2311yescharacteristic
802#117×C61C2311yescharacteristic
803#117×C61C2314yes—
804#117×C61C2312yes—
805#117×C61C2314yes—
806#117×C61C2314yes—
807#117×C61C2311yescharacteristic
808C2×C22⋊C4×C61C2312yes—
809C2×C22⋊C4×C61C2314yes—
810C2×C22⋊C4×C61C2312yes—
811C2×C42×C61C2311yescharacteristic
812C2×C42×C61C2312yes—
813C24×C61C2412yes—
814C23×D61C2412yes—
815C23×D61C2411yescharacteristic
816C23×D61C2414yes—
817#41×C61—24no—
818C2×Q8×C61—24no—
819C2×Q8×C61C2412yes—
820C2×Q8×C61C2412yes—
821C2×Q8×C61C2411yescharacteristic
822C2×Q8×C61C2412yes—
823C2×Q8×C61C2412yes—
824C2×D4×C61—24no—
825C2×D4×C61C2412yes—
826C2×D4×C61C2412yes—
827C2×D4×C61C2412yes—
828C2×D4×C61C2411yescharacteristic
829C2×D4×C61C2414yes—
830C2×D4×C61C2414yes—
831C22×C4×C61C2412yes—
832C22×C4×C61C2412yes—
833C22×C4×C61C2411yescharacteristic
834C22×C4×C61C2411yescharacteristic
835C22×C4×C61C2412yes—
836C22×C4×C61C2412yes—
837C22×C4×C61C2414yes—
838C22×C4×C61C2414yes—
839C22×C4×C61C2411yescharacteristic
840C2×C22⋊D61—216no—
841C2×C22⋊D61—44no—
842C2×C22⋊D61C2414yes—
843C2×C22⋊D61C2414yes—
844C2×C22⋊D61C2414yes—
845C2×C22⋊D61C2412yes—
846C2×C22⋊D61C2412yes—
847C2×C22⋊D61C2412yes—
848C2×C22⋊D61C2412yes—
849C2×C22⋊D61C2414yes—
850C2×C22⋊D61C2414yes—
851C2×C22⋊D61C2414yes—
852C2×C22⋊D61C2414yes—
853C2×C22⋊D61C2414yes—
854C2×C22⋊D61C2412yes—
855C22×Dic61—44no—
856C22×Dic61C2411yescharacteristic
857C22×Dic61C2414yes—
858C22×Dic61C2411yescharacteristic
859C22×Dic61C2412yes—
860C22×Dic61C2412yes—
861C22×Dic61C2414yes—
862C22×Dic61C2411yescharacteristic
863C22×Dic61C2412yes—
864C22×Dic61C2412yes—
865C22×Dic61C2414yes—
866C22×Dic61C2412yes—
867#11758226—24no—
868#11758226—28no—
869#11758226—28no—
870#11758226—44no—
871#11758226—44no—
872Q8×D61—28no—
873Q8×D61—24no—
874Q8×D61—28no—
875#11758224—28no—
876#11758224—28no—
877#11758224—24no—
878#11758224—28no—
879#11758224—48no—
880D4×D61—28no—
881D4×D61—24no—
882D4×D61—28no—
883D4×D61—28no—
884D4×D61—48no—
885#11758222—24no—
886#11758222—24no—
887#11758222—216no—
888#11758222—28no—
889#11758222—48no—
890#11758222#4118yescomplemented
891C2×D244C2411yescharacteristic
892C2×D244C2412yes—
893C2×D244C2412yes—
894C2×D244C2412yes—
895C2×D244C2414yes—
896C2×D244C2411yescharacteristic
897C2×D244C2412yes—
898C2×D244C2412yes—
899C2×D244C2412yes—
900C2×D244C2412yes—
901C2×D244C2411yescharacteristic
902C2×C4×D61—24no—
903C2×C4×D61—28no—
904C2×C4×D61—44no—
905C2×C4×D61—48no—
906C2×C4×D61—42no—
907C2×C4×D61—44no—
908C2×C4×D61—42no—
909C2×C4×D61C2412yes—
910C2×C4×D61C2411yescharacteristic
911C2×C4×D61C2411yescharacteristic
912C2×C4×D61C2411yescharacteristic
913C2×C4×D61C2412yes—
914C2×C4×D61C2412yes—
915C2×C4×D61C2411yescharacteristic
916C2×C4×D61C2412yes—
917C2×C4×D61C2411yescharacteristic
918C2×C4×D61C2412yes—
919C2×C4×D61C2411yescharacteristic
920C2×C4×D61C2411yescharacteristic
921C2×C4×D61C2411yescharacteristic
922C2×C4×D61C2412yes—
923C2×C4×D61C2414yes—
924C2×C4×D61C2414yes—
925C2×C4×D61C2412yes—
926C2×C4×D61C2412yes—
927C2×C4×D61C2411yescharacteristic
928C2×C4×D61C2412yes—
929C2×C4×D61C2412yes—
930C2×C4×D61C2412yes—
931C2×C4×D61C2412yes—
932C2×C4×D61C2411yescharacteristic
933C2×C4×D61C2411yescharacteristic
934C2×C4×D61C2411yescharacteristic
935C2×C4×D61C2414yes—
936C2×C4×D61C2414yes—
937C2×C4×D61C2414yes—
938C2×C4×D61C2414yes—
939C2×C4×D61C2412yes—
940C2×C4×D61C2412yes—
941C2×C4×D61C2412yes—
942C2×Dic122C2414yes—
943C2×Dic122C2411yescharacteristic
944C2×Dic122C2412yes—
945C2×Dic122C2411yescharacteristic
946C2×Dic122C2414yes—
947C2×Dic122C2414yes—
948C2×Dic122C2411yescharacteristic
949C4⋊C4×C61C2412yes—
950C4⋊C4×C61C2412yes—
951C4⋊C4×C61C2411yescharacteristic
952C4⋊C4×C61C2411yescharacteristic
953C4⋊C4×C61C2411yescharacteristic
954C4⋊C4×C61C2411yescharacteristic
955C4⋊C4×C61C2412yes—
956C4⋊C4×C61C2412yes—
957C4⋊C4×C61C2411yescharacteristic
958C4⋊C4×C61C2411yescharacteristic
959C4⋊C4×C61C2414yes—
960C4⋊C4×C61C2414yes—
961C4⋊C4×C61C2414yes—
962C4⋊C4×C61C2414yes—
963C4⋊C4×C61C2412yes—
964C4⋊C4×C61C2412yes—
965C4⋊C4×C61C2412yes—
966C4⋊C4×C61C2412yes—
967C22⋊C4×C61C2412yes—
968C22⋊C4×C61C2412yes—
969C22⋊C4×C61C2414yes—
970C22⋊C4×C61C2414yes—
971C22⋊C4×C61C2414yes—
972C22⋊C4×C61C2414yes—
973C22⋊C4×C61C2414yes—
974C22⋊C4×C61C2414yes—
975C22⋊C4×C61C2412yes—
976C22⋊C4×C61C2412yes—
977C22⋊C4×C61C2412yes—
978C22⋊C4×C61C2414yes—
979C22⋊C4×C61C2414yes—
980C22⋊C4×C61C2414yes—
981C22⋊C4×C61C2414yes—
982C42×C61C2411yescharacteristic
983C42×C61C2412yes—
984C42×C61C2412yes—
985C42×C61C2412yes—
986C42×C61C2411yescharacteristic
987C42×C61C2411yescharacteristic
988C42×C61C2411yescharacteristic
989C42×C61C2414yes—
990C42×C61C2414yes—
991C42×C61C2412yes—
992C42×C61C2412yes—
993C22⋊Dic61C2414yes—
994C22⋊Dic61C2414yes—
995C22⋊Dic61C2414yes—
996C22⋊Dic61C2412yes—
997C22⋊Dic61C2412yes—
998C22⋊Dic61C2412yes—
999C22⋊Dic61C2414yes—
1000C22⋊Dic61C2414yes—
1001C22⋊Dic61C2414yes—
1002C22⋊Dic61C2414yes—
1003C22⋊Dic61C2414yes—
1004#11758198C2412yes—
1005#11758198C2412yes—
1006#11758198C2412yes—
1007#11758198C2412yes—
1008#11758198C2412yes—
1009#11758198C2412yes—
1010#11758198C2412yes—
1011#11758198C2414yes—
1012#11758198C2414yes—
1013#11758198C2414yes—
1014#11758198C2412yes—
1015#11758198C2412yes—
1016#11758198C2412yes—
1017#11758198C2412yes—
1018#11758198C2414yes—
1019#11758198C2414yes—
1020#11758198C2414yes—
1021#11758198C2412yes—
1022#11758198C2414yes—
1023#11758198C2412yes—
1024#11758198C2412yes—
1025#11758198C2412yes—
1026#11758198C2414yes—
1027#11758198C2412yes—
1028#11758198C2414yes—
1029#11758198C2414yes—
1030#11758198C2412yes—
1031#11758198C2412yes—
1032#11758198C2412yes—
1033#11758198C2412yes—
1034#11758198C2412yes—
1035#11758198C2412yes—
1036C4⋊Dic61C2412yes—
1037C4⋊Dic61C2412yes—
1038C4⋊Dic61C2412yes—
1039C4⋊Dic61C2412yes—
1040C4⋊Dic61C2412yes—
1041C4⋊Dic61C2414yes—
1042C4⋊Dic61C2414yes—
1043C4⋊Dic61C2411yescharacteristic
1044C4⋊Dic61C2411yescharacteristic
1045C4⋊Dic61C2412yes—
1046C4⋊Dic61C2412yes—
1047C4⋊Dic61C2414yes—
1048C4⋊Dic61C2414yes—
1049C4⋊Dic61C2412yes—
1050C4⋊Dic61C2412yes—
1051C4⋊Dic61C2412yes—
1052C4⋊Dic61C2412yes—
1053C4⋊Dic61C2412yes—
1054#11758196C2412yes—
1055#11758196C2414yes—
1056#11758196C2412yes—
1057#11758196C2414yes—
1058#11758196C2412yes—
1059#11758196C2414yes—
1060#11758196C2414yes—
1061#11758196C2414yes—
1062#11758196C2414yes—
1063#11758196C2414yes—
1064#11758196C2412yes—
1065#11758196C2412yes—
1066#11758196C2412yes—
1067#11758196C2412yes—
1068#11758196C2414yes—
1069#11758196C2414yes—
1070#11758196C2414yes—
1071#11758196C2412yes—
1072#11758196C2414yes—
1073#11758196C2414yes—
1074#11758196C2414yes—
1075#11758196C2412yes—
1076#11758196C2414yes—
1077#11758196C2414yes—
1078#11758196C2412yes—
1079#11758196C2414yes—
1080#11758196C2414yes—
1081#11758196C2414yes—
1082C4×Dic61C2411yescharacteristic
1083C4×Dic61C2411yescharacteristic
1084C4×Dic61C2412yes—
1085C4×Dic61C2411yescharacteristic
1086C4×Dic61C2411yescharacteristic
1087C4×Dic61C2412yes—
1088C4×Dic61C2411yescharacteristic
1089C4×Dic61C2411yescharacteristic
1090C4×Dic61C2411yescharacteristic
1091C4×Dic61C2414yes—
1092C4×Dic61C2412yes—
1093C4×Dic61C2412yes—
1094C4×Dic61C2412yes—
1095C4×Dic61C2412yes—
1096C4×Dic61C2411yescharacteristic
1097C4×Dic61C2411yescharacteristic
1098C4×Dic61C2411yescharacteristic
1099C4×Dic61C2412yes—
1100C4×Dic61C2411yescharacteristic
1101C4×Dic61C2412yes—
1102C4×Dic61C2412yes—
1103C4×Dic61C2411yescharacteristic
1104C4×Dic61C2412yes—
1105C4×Dic61C2412yes—
1106C4×Dic61C2412yes—
1107C4×Dic61C2414yes—
1108C4×Dic61C2412yes—
1109C4×Dic61C2414yes—
1110C4×Dic61C2414yes—
1111C4×Dic61C2414yes—
1112C4×Dic61C2414yes—
1113C23×C61—24no—
1114C23×C61—42no—
1115C23×C61—42no—
1116C23×C61C2514yes—
1117C23×C61C2512yes—
1118C23×C61C2511yescharacteristic
1119C22×D61—22no—
1120C22×D61—24no—
1121C22×D61—24no—
1122C22×D61—22no—
1123C22×D61—28no—
1124C22×D61—42no—
1125C22×D61—41no—
1126C22×D61—44no—
1127C22×D61—44no—
1128C22×D61C2512yes—
1129C22×D61C2511yescharacteristic
1130C22×D61C2512yes—
1131C22×D61C2512yes—
1132C22×D61C2511yescharacteristic
1133Q8×C61—24no—
1134Q8×C61—24no—
1135Q8×C61—22no—
1136Q8×C61—42no—
1137Q8×C61—42no—
1138D4×C61—24no—
1139D4×C61—24no—
1140D4×C61—24no—
1141D4×C61—22no—
1142D4×C61—44no—
1143D4×C61—44no—
1144C2×C4×C61—24no—
1145C2×C4×C61—24no—
1146C2×C4×C61—42no—
1147C2×C4×C61—42no—
1148C2×C4×C61—44no—
1149C2×C4×C61—41no—
1150C2×C4×C61—41no—
1151C2×C4×C61—44no—
1152C2×C4×C61C2×#4114yes—
1153C2×C4×C61C2511yescharacteristic
1154C2×C4×C61C2512yes—
1155C2×C4×C61C2511yescharacteristic
1156C2×C4×C61C2512yes—
1157C2×C4×C61C2512yes—
1158C2×C4×C61C2512yes—
1159C2×C4×C61C2511yescharacteristic
1160C2×C4×C61C2511yescharacteristic
1161C2×C4×C61C2514yes—
1162C2×C4×C61C2512yes—
1163C2×C4×C61C2512yes—
1164C2×C4×C61C2512yes—
1165C2×C4×C61C2511yescharacteristic
1166C2×C4×C61C2511yescharacteristic
1167C22⋊D61—24no—
1168C22⋊D61—24no—
1169C22⋊D61—24no—
1170C22⋊D61—28no—
1171C22⋊D61—28no—
1172C22⋊D61—24no—
1173C22⋊D61—28no—
1174C22⋊D61—44no—
1175C22⋊D61—44no—
1176C22⋊D61—44no—
1177C22⋊D61—44no—
1178C22⋊D61—44no—
1179C22⋊D61C2×#4118yes—
1180C2×Dic61—22no—
1181C2×Dic61—24no—
1182C2×Dic61—28no—
1183C2×Dic61—24no—
1184C2×Dic61—28no—
1185C2×Dic61—22no—
1186C2×Dic61—42no—
1187C2×Dic61—41no—
1188C2×Dic61—42no—
1189C2×Dic61—44no—
1190C2×Dic61—42no—
1191C2×Dic61C2511yescharacteristic
1192C2×Dic61C2511yescharacteristic
1193C2×Dic61C2511yescharacteristic
1194C2×Dic61C2511yescharacteristic
1195C2×Dic61C2512yes—
1196C2×Dic61C2514yes—
1197C2×Dic61C2511yescharacteristic
1198C2×Dic61C2512yes—
1199C2×Dic61C2512yes—
1200C2×Dic61C2512yes—
1201C2×Dic61C2514yes—
1202C2×Dic61C2512yes—
1203C2×Dic61C2511yescharacteristic
1204D244—24no—
1205D244—28no—
1206D244—24no—
1207D244—24no—
1208D244—22no—
1209D244—22no—
1210D244—42no—
1211D244—42no—
1212D244—42no—
1213D244—42no—
1214D244C2×#4114yes—
1215C4×D61—24no—
1216C4×D61—28no—
1217C4×D61—22no—
1218C4×D61—24no—
1219C4×D61—22no—
1220C4×D61—22no—
1221C4×D61—22no—
1222C4×D61—22no—
1223C4×D61—22no—
1224C4×D61—24no—
1225C4×D61—24no—
1226C4×D61—24no—
1227C4×D61—28no—
1228C4×D61—22no—
1229C4×D61—24no—
1230C4×D61—24no—
1231C4×D61—22no—
1232C4×D61—24no—
1233C4×D61—42no—
1234C4×D61—42no—
1235C4×D61—42no—
1236C4×D61—44no—
1237C4×D61—44no—
1238C4×D61—41no—
1239C4×D61—42no—
1240C4×D61—41no—
1241C4×D61—41no—
1242C4×D61—41no—
1243C4×D61—44no—
1244C4×D61—44no—
1245C4×D61—42no—
1246C4×D61—42no—
1247C4×D61C2×#4118yes—
1248Dic122—22no—
1249Dic122—22no—
1250Dic122—24no—
1251Dic122—28no—
1252Dic122—44no—
1253Dic122—44no—
1254Dic122C2×#4114yes—
1255#62810—611nomaximal, Sylow
1256C22×C61—21no—
1257C22×C61—21no—
1258C22×C61—22no—
1259C22×C61—24no—
1260C22×C61—24no—
1261C22×C61—22no—
1262C22×C61—22no—
1263C22×C61—24no—
1264C22×C61—84no—
1265C22×C61C22×#4112yes—
1266C22×C61C2611yescharacteristic
1267C2×D61—21no—
1268C2×D61—21no—
1269C2×D61—22no—
1270C2×D61—22no—
1271C2×D61—22no—
1272C2×D61—21no—
1273C2×D61—22no—
1274C2×D61—22no—
1275C2×D61—21no—
1276C2×D61—22no—
1277C2×D61—22no—
1278C2×D61—21no—
1279C2×D61—22no—
1280C2×D61—48no—
1281C2×D61—44no—
1282C2×D61—88no—
1283C2×D61C22×#4114yes—
1284C2×D61#58512yes—
1285C4×C61—22no—
1286C4×C61—24no—
1287C4×C61—22no—
1288C4×C61—22no—
1289C4×C61—21no—
1290C4×C61—22no—
1291C4×C61—21no—
1292C4×C61—22no—
1293C4×C61—22no—
1294C4×C61—21no—
1295C4×C61—21no—
1296C4×C61—22no—
1297C4×C61C22×#4112yes—
1298C4×C61C22×#4112yes—
1299Dic61—22no—
1300Dic61—21no—
1301Dic61—22no—
1302Dic61—21no—
1303Dic61—22no—
1304Dic61—22no—
1305Dic61—24no—
1306Dic61—24no—
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#3510D6111yescharacteristic, complemented
1322#3504—611no—
1323#3500—611no—
1324#3495—612no—
1325#3495—611no—
1326#3494—612no—
1327#3494—611no—
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—612no—
1337#3461—611no—
1338#3460—612no—
1339#3460—611no—
1340#3444—611no—
1341#3444—612no—
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—42no—
1349C2×C61—44no—
1350C2×C61C23×#4111yescharacteristic
1351C2×C61C2×#58511yescharacteristic
1352C2×C61C2×#58511yescharacteristic
1353D61—22no—
1354D61—24no—
1355D61—42no—
1356D61—41no—
1357D61—42no—
1358C2×2−1+4—611no—
1359C2×H(5,𝔽2)—611no—
1360C22×#41—611no—
1361#559—614no—
1362#559—614no—
1363#559C2×D6112yescomplemented
1364#559C2×D6112yescomplemented
1365#557—612no—
1366#557—612no—
1367#556—614no—
1368#556—614no—
1369#556—612no—
1370#556—614no—
1371#556C2×D6112yescomplemented
1372#556C2×D6112yescomplemented
1373#555—614no—
1374#555—612no—
1375#554—614no—
1376#554—614no—
1377#554—614no—
1378#554—612no—
1379#554—612no—
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—612no—
1390#553—612no—
1391#553—612no—
1392#553—614no—
1393#553—612no—
1394#553—614no—
1395#552—614no—
1396#552—614no—
1397#552—614no—
1398#552—614no—
1399#552—614no—
1400#552—612no—
1401#552—612no—
1402#552—612no—
1403#552—612no—
1404#552—614no—
1405#552—614no—
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#551C2×D6114yescomplemented
1417#551C2×D6114yescomplemented
1418#550—612no—
1419D4×Q8—612no—
1420#548—612no—
1421#548—612no—
1422#548—612no—
1423#548—612no—
1424#547—612no—
1425#547—614no—
1426#547—614no—
1427#547—612no—
1428#546—612no—
1429#546—612no—
1430#546—612no—
1431#546—614no—
1432#546—612no—
1433#546—614no—
1434#546—614no—
1435#546—614no—
1436#546—614no—
1437#546—614no—
1438#546—614no—
1439D42—612no—
1440D42—614no—
1441#544—612no—
1442#544—612no—
1443#544—611no—
1444#544—611no—
1445#542—612no—
1446#542—614no—
1447#542—612no—
1448#542—614no—
1449#542—612no—
1450#542—612no—
1451#542—612no—
1452#542—612no—
1453#542C2×D6112yescomplemented
1454#542C2×D6112yescomplemented
1455#541—612no—
1456#541—614no—
1457#541—612no—
1458#541—612no—
1459#541—612no—
1460#540—612no—
1461#540—614no—
1462#540—612no—
1463#540—612no—
1464#540—612no—
1465#539—614no—
1466#539—614no—
1467#539—614no—
1468#538—614no—
1469#538—614no—
1470#538—614no—
1471#537—611no—
1472#537—611no—
1473#537—612no—
1474#537—612no—
1475#536—611no—
1476#536—612no—
1477#536—612no—
1478#536C2×D6111yescharacteristic, complemented
1479#535—611no—
1480#535—612no—
1481#535—612no—
1482#535C2×D6111yescharacteristic
1483#533—611no—
1484#533—611no—
1485#533—612no—
1486#533—612no—
1487#533—612no—
1488#533—614no—
1489#533—612no—
1490#533C2×D6111yescharacteristic, complemented
1491#532—611no—
1492#532—611no—
1493#532—612no—
1494#532—612no—
1495#532—614no—
1496#532—612no—
1497#532—612no—
1498#532—611no—
1499#529—614no—
1500#529—614no—
1501#529—614no—
1502#529—614no—
1503#529—614no—
1504#529—611no—
1505#529—611no—
1506#529—611no—
1507#529—611no—
1508#529—612no—
1509#529—612no—
1510#529—612no—
1511#529—612no—
1512#529—612no—
1513#529—612no—
1514#529—612no—
1515#529—612no—
1516#529—612no—
1517#529—614no—
1518#529—612no—
1519#529—614no—
1520#529—614no—
1521#529—614no—
1522#529—614no—
1523#529—612no—
1524#529—612no—
1525#529—612no—
1526#529—612no—
1527#529—612no—
1528#529—612no—
1529#529—612no—
1530#529—614no—
1531#529—612no—
1532#529—614no—
1533#529—614no—
1534#529—612no—
1535#529—612no—
1536#529C2×D6112yescomplemented
1537#529C2×D6112yescomplemented
1538C2×#126—614no—
1539C2×#126—612no—
1540C2×#125—612no—
1541C2×#125—611no—
1542C2×#124—612no—
1543C2×#124C2×D6111yescharacteristic, complemented
1544#525—614no—
1545#525—614no—
1546#525—612no—
1547#525—612no—
1548#525—612no—
1549#525—614no—
1550#525—612no—
1551#525—614no—
1552#525—614no—
1553#525—611no—
1554#525—611no—
1555C2×#123—614no—
1556C2×#123—612no—
1557C2×C22⋊Q8—611no—
1558C2×C22⋊Q8—612no—
1559C2×#121—611no—
1560C2×#121—612no—
1561#520—612no—
1562#520—612no—
1563#520—612no—
1564#520—612no—
1565#520—611no—
1566#520—611no—
1567#520—611no—
1568#520—611no—
1569#520—614no—
1570#519—612no—
1571#519—612no—
1572#519C2×D6111yescharacteristic, complemented
1573#518—612no—
1574#518—612no—
1575#518—614no—
1576#518C2×D6111yescharacteristic, complemented
1577C4×#41—611no—
1578C4×#41—611no—
1579C4×#41—611no—
1580C4×#41—612no—
1581C4×#41—612no—
1582C4×#41—612no—
1583C4×#41—612no—
1584C4×#41—612no—
1585C4×#41—611no—
1586C4×#41—612no—
1587C4×#41—611no—
1588C4×#41—612no—
1589C4×#41—612no—
1590C4×#41—614no—
1591C4×#41—611no—
1592C4×#41—612no—
1593C4×#41—611no—
1594C4×#41—611no—
1595C4×#41—614no—
1596C4×#41—614no—
1597C4×#41—611no—
1598C4×#41—612no—
1599C4×#41C2×D6111yescharacteristic, complemented
1600C2×C4×Q8—611no—
1601C2×C4×Q8—611no—
1602C2×C4×Q8—611no—
1603C2×C4×Q8—612no—
1604C2×C4×Q8—612no—
1605C2×C4×D4—611no—
1606C2×C4×D4—612no—
1607C2×C4×D4—611no—
1608C2×C4×D4—612no—
1609C2×C4×D4—611no—
1610C2×C4×D4—612no—
1611C2×C4×D4—612no—
1612C2×C4×D4—614no—
1613C2×C4×D4—614no—
1614C2×C4×D4—612no—
1615C2×#117—611no—
1616C2×#117—612no—
1617C2×#117—614no—
1618C2×#117—612no—
1619C22×C42—611no—
1620C22×C42—612no—
1621C61#6281011yescharacteristic, complemented, Sylow
16222−1+4—1228no—
1623H(5,𝔽2)—1228no—
1624C2×#41—611no—
1625C2×#41—612no—
1626C2×#41—612no—
1627C2×#41—612no—
1628C2×#41—612no—
1629C2×#41—612no—
1630C2×#41—611no—
1631C2×#41—612no—
1632C2×#41—612no—
1633C2×#41—614no—
1634C2×#41—611no—
1635C2×#41—612no—
1636C2×#41—611no—
1637C2×#41—611no—
1638C2×#41—614no—
1639C2×#41—614no—
1640C2×#41—1228no—
1641C2×#41C22×D6111yescharacteristic
1642C22×Q8—611no—
1643C22×Q8—612no—
1644C22×Q8—612no—
1645C22×Q8C22×D6111yescharacteristic
1646C22×D4—614no—
1647C22×D4—612no—
1648C22×D4—612no—
1649C22×D4—611no—
1650C22×D4—612no—
1651C22×D4—612no—
1652C22×D4—614no—
1653C22×D4C22×D6111yescharacteristic
1654C23×C4—612no—
1655C23×C4—612no—
1656C23×C4—611no—
1657C23×C4—614no—
1658C23×C4—611no—
1659C23×C4—612no—
1660C23×C4—611no—
1661C23×C4—612no—
1662C4⋊Q8—612no—
1663C4⋊Q8—614no—
1664C4⋊Q8—614no—
1665C4⋊Q8—612no—
1666C4⋊Q8—612no—
1667C4⋊Q8—614no—
1668C4⋊Q8—611no—
1669C4⋊Q8—612no—
1670C4⋊Q8—612no—
1671C4⋊Q8C22×D6111yescharacteristic
1672C4⋊Q8C22×D6111yescharacteristic
1673C4⋊Q8C22×D6112yes—
1674#127—612no—
1675#127—614no—
1676#127—611no—
1677#127C22×D6112yes—
1678#126—612no—
1679#126—614no—
1680#126—614no—
1681#126—612no—
1682#126—612no—
1683#126—612no—
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—614no—
1694#126—614no—
1695#126—614no—
1696#126—614no—
1697#126—614no—
1698#126—614no—
1699#126—614no—
1700#126—614no—
1701#126—614no—
1702#126C22×D6114yes—
1703#126C22×D6114yes—
1704#126C22×D6114yes—
1705#126C22×D6114yes—
1706#125—612no—
1707#125—612no—
1708#125—614no—
1709#125—614no—
1710#125—614no—
1711#125—612no—
1712#125—614no—
1713#125—612no—
1714#125—614no—
1715#125—614no—
1716#125—614no—
1717#125—614no—
1718#125—614no—
1719#125—614no—
1720#125—614no—
1721#125—612no—
1722#125—612no—
1723#125—612no—
1724#125—612no—
1725#125—612no—
1726#125—614no—
1727#125—612no—
1728#125C22×D6111yescharacteristic
1729#125C22×D6111yescharacteristic
1730#124—612no—
1731#124—612no—
1732#124—612no—
1733#124—612no—
1734#124—614no—
1735#124—614no—
1736#124—614no—
1737#124—614no—
1738#124—614no—
1739#124—614no—
1740#124—614no—
1741#124—614no—
1742#124—614no—
1743#124—611no—
1744#124—611no—
1745#124—614no—
1746#124C22×D6112yes—
1747#124C22×D6112yes—
1748#124C22×D6112yes—
1749#124C22×D6112yes—
1750#124C22×D6112yes—
1751#124C22×D6112yes—
1752#124C22×D6114yes—
1753#124C22×D6114yes—
1754#123—614no—
1755#123—614no—
1756#123—614no—
1757#123—614no—
1758#123—614no—
1759#123—614no—
1760#123—614no—
1761#123—612no—
1762#123—614no—
1763#123—612no—
1764#123—614no—
1765#123—612no—
1766#123—612no—
1767#123—614no—
1768#123—614no—
1769#123—614no—
1770#123—614no—
1771#123—614no—
1772#123—614no—
1773#123—614no—
1774#123—614no—
1775#123—614no—
1776#123—614no—
1777#123—614no—
1778#123—612no—
1779#123—612no—
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×D6114yes—
1790#123C22×D6114yes—
1791#123C22×D6114yes—
1792C22⋊Q8—612no—
1793C22⋊Q8—612no—
1794C22⋊Q8—612no—
1795C22⋊Q8—612no—
1796C22⋊Q8—612no—
1797C22⋊Q8—612no—
1798C22⋊Q8—614no—
1799C22⋊Q8—612no—
1800C22⋊Q8—612no—
1801C22⋊Q8—614no—
1802C22⋊Q8—612no—
1803C22⋊Q8—612no—
1804C22⋊Q8—612no—
1805C22⋊Q8—612no—
1806C22⋊Q8—614no—
1807C22⋊Q8—611no—
1808C22⋊Q8—614no—
1809C22⋊Q8—611no—
1810C22⋊Q8—611no—
1811C22⋊Q8—611no—
1812C22⋊Q8—614no—
1813C22⋊Q8—614no—
1814C22⋊Q8—614no—
1815C22⋊Q8—614no—
1816C22⋊Q8—614no—
1817C22⋊Q8—614no—
1818C22⋊Q8—614no—
1819C22⋊Q8—614no—
1820C22⋊Q8—614no—
1821C22⋊Q8—614no—
1822C22⋊Q8—614no—
1823C22⋊Q8—614no—
1824C22⋊Q8—614no—
1825C22⋊Q8—614no—
1826C22⋊Q8—614no—
1827C22⋊Q8—614no—
1828C22⋊Q8C22×D6112yes—
1829C22⋊Q8C22×D6112yes—
1830C22⋊Q8C22×D6112yes—
1831C22⋊Q8C22×D6112yes—
1832C22⋊Q8C22×D6114yes—
1833C22⋊Q8C22×D6114yes—
1834#121—612no—
1835#121—612no—
1836#121—612no—
1837#121—612no—
1838#121—614no—
1839#121—614no—
1840#121—614no—
1841#121—614no—
1842#121—612no—
1843#121—614no—
1844#121—614no—
1845#121—612no—
1846#121—614no—
1847#121—612no—
1848#121—612no—
1849#121—614no—
1850#121—612no—
1851#121—612no—
1852#121—612no—
1853#121—612no—
1854#121—614no—
1855#121—611no—
1856#121—611no—
1857#121—611no—
1858#121—611no—
1859#121—612no—
1860#121—612no—
1861#121—614no—
1862#121—614no—
1863#121—614no—
1864#121—614no—
1865#121—614no—
1866#121—614no—
1867#121—614no—
1868#121—614no—
1869#121—614no—
1870#121—614no—
1871#121—614no—
1872#121—614no—
1873#121—614no—
1874#121C22×D6112yes—
1875#121C22×D6112yes—
1876#120—614no—
1877#120—614no—
1878#120—614no—
1879#120—612no—
1880#120—614no—
1881#120—612no—
1882#120—614no—
1883#120—614no—
1884#120—614no—
1885#120C22×D6114yes—
1886C4×Q8—612no—
1887C4×Q8—612no—
1888C4×Q8—611no—
1889C4×Q8—611no—
1890C4×Q8—612no—
1891C4×Q8—612no—
1892C4×Q8—612no—
1893C4×Q8—612no—
1894C4×Q8—611no—
1895C4×Q8—614no—
1896C4×Q8—611no—
1897C4×Q8—611no—
1898C4×Q8—612no—
1899C4×Q8—612no—
1900C4×Q8—611no—
1901C4×Q8—611no—
1902C4×Q8—614no—
1903C4×Q8—611no—
1904C4×Q8—614no—
1905C4×Q8—614no—
1906C4×Q8—614no—
1907C4×Q8—611no—
1908C4×Q8—611no—
1909C4×Q8—612no—
1910C4×Q8—612no—
1911C4×Q8—614no—
1912C4×Q8—612no—
1913C4×Q8—612no—
1914C4×Q8—614no—
1915C4×Q8—612no—
1916C4×Q8—612no—
1917C4×Q8—614no—
1918C4×Q8C22×D6111yescharacteristic
1919C4×Q8C22×D6111yescharacteristic
1920C4×Q8C22×D6112yes—
1921C4×Q8C22×D6112yes—
1922C4×Q8C22×D6112yes—
1923C4×Q8C22×D6112yes—
1924C4×Q8C22×D6112yes—
1925C4×Q8C22×D6112yes—
1926C4×D4—612no—
1927C4×D4—612no—
1928C4×D4—612no—
1929C4×D4—611no—
1930C4×D4—612no—
1931C4×D4—611no—
1932C4×D4—612no—
1933C4×D4—612no—
1934C4×D4—614no—
1935C4×D4—614no—
1936C4×D4—612no—
1937C4×D4—612no—
1938C4×D4—612no—
1939C4×D4—612no—
1940C4×D4—612no—
1941C4×D4—612no—
1942C4×D4—614no—
1943C4×D4—614no—
1944C4×D4—614no—
1945C4×D4—614no—
1946C4×D4—614no—
1947C4×D4—614no—
1948C4×D4—614no—
1949C4×D4—614no—
1950C4×D4—611no—
1951C4×D4—612no—
1952C4×D4—611no—
1953C4×D4—611no—
1954C4×D4—612no—
1955C4×D4—612no—
1956C4×D4—614no—
1957C4×D4—612no—
1958C4×D4—611no—
1959C4×D4—611no—
1960C4×D4—611no—
1961C4×D4—614no—
1962C4×D4—612no—
1963C4×D4—614no—
1964C4×D4—612no—
1965C4×D4—612no—
1966C4×D4—612no—
1967C4×D4—612no—
1968C4×D4—614no—
1969C4×D4—614no—
1970C4×D4—612no—
1971C4×D4—614no—
1972C4×D4—612no—
1973C4×D4—612no—
1974C4×D4—612no—
1975C4×D4—612no—
1976C4×D4—612no—
1977C4×D4—614no—
1978C4×D4—614no—
1979C4×D4—614no—
1980C4×D4—614no—
1981C4×D4—614no—
1982C4×D4—614no—
1983C4×D4—614no—
1984C4×D4—614no—
1985C4×D4—612no—
1986C4×D4—612no—
1987C4×D4—612no—
1988C4×D4—614no—
1989C4×D4—614no—
1990C4×D4—614no—
1991C4×D4—614no—
1992C4×D4—614no—
1993C4×D4—614no—
1994C4×D4—614no—
1995C4×D4—611no—
1996C4×D4—611no—
1997C4×D4—612no—
1998C4×D4—612no—
1999C4×D4—612no—
2000C4×D4—612no—
2001C4×D4—614no—
2002C4×D4—614no—
2003C4×D4—612no—
2004C4×D4—612no—
2005C4×D4—614no—
2006C4×D4—612no—
2007C4×D4—612no—
2008C4×D4—612no—
2009C4×D4—612no—
2010C4×D4—612no—
2011C4×D4—612no—
2012C4×D4C22×D6112yes—
2013C4×D4C22×D6112yes—
2014C4×D4C22×D6111yescharacteristic
2015C4×D4C22×D6111yescharacteristic
2016C4×D4C22×D6112yes—
2017C4×D4C22×D6112yes—
2018C4×D4C22×D6114yes—
2019C4×D4C22×D6112yes—
2020C4×D4C22×D6112yes—
2021C4×D4C22×D6114yes—
2022#117—611no—
2023#117—612no—
2024#117—614no—
2025#117—612no—
2026#117—612no—
2027#117—612no—
2028#117—611no—
2029#117—611no—
2030#117—614no—
2031#117—612no—
2032#117—612no—
2033#117—612no—
2034#117—612no—
2035#117—614no—
2036#117—614no—
2037#117—612no—
2038#117—612no—
2039#117—612no—
2040#117—612no—
2041#117—612no—
2042#117—614no—
2043#117—612no—
2044#117—612no—
2045#117—612no—
2046#117—614no—
2047#117—614no—
2048#117—614no—
2049#117—614no—
2050#117—614no—
2051#117—614no—
2052#117—614no—
2053#117—612no—
2054#117—612no—
2055#117—612no—
2056#117—614no—
2057#117—614no—
2058#117—612no—
2059#117—612no—
2060#117—614no—
2061#117—614no—
2062#117—614no—
2063#117—614no—
2064#117C22×D6111yescharacteristic
2065#117C22×D6112yes—
2066#117C22×D6114yes—
2067#117C22×D6111yescharacteristic
2068#117C22×D6111yescharacteristic
2069#117C22×D6114yes—
2070#117C22×D6114yes—
2071C2×C4⋊C4—612no—
2072C2×C4⋊C4—612no—
2073C2×C4⋊C4—611no—
2074C2×C4⋊C4—614no—
2075C2×C4⋊C4—612no—
2076C2×C4⋊C4—611no—
2077C2×C4⋊C4—612no—
2078C2×C4⋊C4—612no—
2079C2×C4⋊C4—611no—
2080C2×C4⋊C4—612no—
2081C2×C4⋊C4—611no—
2082C2×C4⋊C4—614no—
2083C2×C4⋊C4—614no—
2084C2×C4⋊C4—612no—
2085C2×C4⋊C4—612no—
2086C2×C4⋊C4—614no—
2087C2×C4⋊C4—612no—
2088C2×C4⋊C4—614no—
2089C2×C4⋊C4—614no—
2090C2×C4⋊C4—612no—
2091C2×C22⋊C4—612no—
2092C2×C22⋊C4—612no—
2093C2×C22⋊C4—614no—
2094C2×C22⋊C4—612no—
2095C2×C22⋊C4—612no—
2096C2×C22⋊C4—612no—
2097C2×C22⋊C4—612no—
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×D6114yes—
2106C2×C22⋊C4C22×D6112yes—
2107C2×C42—611no—
2108C2×C42—612no—
2109C2×C42—611no—
2110C2×C42—614no—
2111C2×C42—612no—
2112C2×C42—611no—
2113C2×C42—612no—
2114C2×C42—612no—
2115C2×C42—612no—
2116C2×C42—611no—
2117C2×C42—612no—
2118C2×C42—614no—
2119C2×C42—612no—
2120C2×C42—611no—
2121C2×C42—612no—
2122C2×C42—611no—
2123C2×C42—612no—
2124C2×C42—612no—
2125C2×C42—612no—
2126C2×C42—614no—
2127C2×C42—611no—
2128C2×C42—612no—
2129C2×C42—612no—
2130C2×C42—611no—
2131C2×C42—611no—
2132C2×C42—611no—
2133C2×C42—611no—
2134C2×C42C22×D6111yescharacteristic
2135C2×C42C22×D6112yes—
2136C24—612no—
2137C24—611no—
2138C24—614no—
2139C24C23×D6112yes—
2140#41—24no—
2141#41—618no—
2142#41—1228no—
2143#41—12216no—
2144#41—1228no—
2145#41—1228no—
2146#41—1228no—
2147#41—1224no—
2148#41—1228no—
2149#41—1224no—
2150#41—1228no—
2151#41—1224no—
2152#41—1224no—
2153#41—2448no—
2154#41—2448no—
2155#41—2444no—
2156#41—2444no—
2157C2×Q8—24no—
2158C2×Q8—611no—
2159C2×Q8—614no—
2160C2×Q8—611no—
2161C2×Q8—612no—
2162C2×Q8—611no—
2163C2×Q8—614no—
2164C2×Q8—614no—
2165C2×Q8—1228no—
2166C2×Q8—1224no—
2167C2×Q8—1228no—
2168C2×Q8C23×D6112yes—
2169C2×Q8C23×D6111yescharacteristic
2170C2×Q8C23×D6112yes—
2171C2×Q8C23×D6112yes—
2172C2×Q8C23×D6112yes—
2173C2×D4—24no—
2174C2×D4—612no—
2175C2×D4—612no—
2176C2×D4—612no—
2177C2×D4—614no—
2178C2×D4—614no—
2179C2×D4—612no—
2180C2×D4—614no—
2181C2×D4—612no—
2182C2×D4—614no—
2183C2×D4—614no—
2184C2×D4—614no—
2185C2×D4—614no—
2186C2×D4—614no—
2187C2×D4—611no—
2188C2×D4—612no—
2189C2×D4—614no—
2190C2×D4—612no—
2191C2×D4—612no—
2192C2×D4—611no—
2193C2×D4—611no—
2194C2×D4—612no—
2195C2×D4—612no—
2196C2×D4—612no—
2197C2×D4—612no—
2198C2×D4—1228no—
2199C2×D4—1228no—
2200C2×D4—1224no—
2201C2×D4—1228no—
2202C2×D4—12216no—
2203C2×D4—2448no—
2204C2×D4—2444no—
2205C2×D4C23×D6112yes—
2206C2×D4C23×D6112yes—
2207C2×D4C23×D6111yescharacteristic
2208C2×D4C23×D6112yes—
2209C2×D4C23×D6114yes—
2210C2×D4C23×D6114yes—
2211C22×C4—612no—
2212C22×C4—611no—
2213C22×C4—611no—
2214C22×C4—612no—
2215C22×C4—612no—
2216C22×C4—614no—
2217C22×C4—614no—
2218C22×C4—611no—
2219C22×C4—612no—
2220C22×C4—612no—
2221C22×C4—612no—
2222C22×C4—614no—
2223C22×C4—612no—
2224C22×C4—611no—
2225C22×C4—611no—
2226C22×C4—611no—
2227C22×C4—612no—
2228C22×C4—612no—
2229C22×C4—611no—
2230C22×C4—612no—
2231C22×C4—612no—
2232C22×C4—611no—
2233C22×C4—611no—
2234C22×C4—611no—
2235C22×C4—611no—
2236C22×C4—614no—
2237C22×C4—614no—
2238C22×C4—612no—
2239C22×C4—612no—
2240C22×C4—612no—
2241C22×C4—612no—
2242C22×C4—611no—
2243C22×C4—612no—
2244C22×C4—612no—
2245C22×C4—612no—
2246C22×C4—611no—
2247C22×C4—611no—
2248C22×C4—611no—
2249C22×C4—612no—
2250C22×C4—614no—
2251C22×C4—612no—
2252C22×C4—614no—
2253C22×C4—614no—
2254C22×C4—614no—
2255C22×C4—1228no—
2256C22×C4—1224no—
2257C22×C4—2444no—
2258C22×C4—2448no—
2259C22×C4—2442no—
2260C22×C4—2444no—
2261C22×C4—2442no—
2262C22×C4—2444no—
2263C22×C4C23×D6112yes—
2264C22×C4C23×D6112yes—
2265C22×C4C23×D6111yescharacteristic
2266C22×C4C23×D6111yescharacteristic
2267C22×C4C23×D6112yes—
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—614no—
2279C4⋊C4—614no—
2280C4⋊C4—614no—
2281C4⋊C4—612no—
2282C4⋊C4—614no—
2283C4⋊C4—612no—
2284C4⋊C4—612no—
2285C4⋊C4—612no—
2286C4⋊C4—612no—
2287C4⋊C4—612no—
2288C4⋊C4—614no—
2289C4⋊C4—614no—
2290C4⋊C4—612no—
2291C4⋊C4—612no—
2292C4⋊C4—612no—
2293C4⋊C4—612no—
2294C4⋊C4—614no—
2295C4⋊C4—614no—
2296C4⋊C4—614no—
2297C4⋊C4—614no—
2298C4⋊C4—614no—
2299C4⋊C4—614no—
2300C4⋊C4—611no—
2301C4⋊C4—611no—
2302C4⋊C4—612no—
2303C4⋊C4—612no—
2304C4⋊C4—614no—
2305C4⋊C4—614no—
2306C4⋊C4—612no—
2307C4⋊C4—612no—
2308C4⋊C4—614no—
2309C4⋊C4—614no—
2310C4⋊C4—614no—
2311C4⋊C4—614no—
2312C4⋊C4—614no—
2313C4⋊C4—612no—
2314C4⋊C4—612no—
2315C4⋊C4—612no—
2316C4⋊C4—612no—
2317C4⋊C4—612no—
2318C4⋊C4C23×D6111yescharacteristic
2319C4⋊C4C23×D6111yescharacteristic
2320C4⋊C4C23×D6112yes—
2321C4⋊C4C23×D6112yes—
2322C4⋊C4C23×D6111yescharacteristic
2323C4⋊C4C23×D6111yescharacteristic
2324C4⋊C4C23×D6114yes—
2325C4⋊C4C23×D6112yes—
2326C4⋊C4C23×D6112yes—
2327C4⋊C4C23×D6114yes—
2328C4⋊C4C23×D6111yescharacteristic
2329C4⋊C4C23×D6111yescharacteristic
2330C4⋊C4C23×D6114yes—
2331C4⋊C4C23×D6112yes—
2332C4⋊C4C23×D6112yes—
2333C4⋊C4C23×D6112yes—
2334C4⋊C4C23×D6112yes—
2335C4⋊C4C23×D6114yes—
2336C22⋊C4—614no—
2337C22⋊C4—614no—
2338C22⋊C4—614no—
2339C22⋊C4—612no—
2340C22⋊C4—612no—
2341C22⋊C4—612no—
2342C22⋊C4—614no—
2343C22⋊C4—614no—
2344C22⋊C4—614no—
2345C22⋊C4—614no—
2346C22⋊C4—614no—
2347C22⋊C4—612no—
2348C22⋊C4—612no—
2349C22⋊C4—612no—
2350C22⋊C4—612no—
2351C22⋊C4—612no—
2352C22⋊C4—614no—
2353C22⋊C4—614no—
2354C22⋊C4—612no—
2355C22⋊C4—614no—
2356C22⋊C4—612no—
2357C22⋊C4—612no—
2358C22⋊C4—612no—
2359C22⋊C4—612no—
2360C22⋊C4—612no—
2361C22⋊C4—612no—
2362C22⋊C4—614no—
2363C22⋊C4—614no—
2364C22⋊C4—614no—
2365C22⋊C4—614no—
2366C22⋊C4—614no—
2367C22⋊C4—612no—
2368C22⋊C4—612no—
2369C22⋊C4—614no—
2370C22⋊C4—612no—
2371C22⋊C4—612no—
2372C22⋊C4—612no—
2373C22⋊C4—612no—
2374C22⋊C4—612no—
2375C22⋊C4—612no—
2376C22⋊C4—612no—
2377C22⋊C4—612no—
2378C22⋊C4—614no—
2379C22⋊C4C23×D6112yes—
2380C22⋊C4C23×D6114yes—
2381C22⋊C4C23×D6114yes—
2382C22⋊C4C23×D6114yes—
2383C22⋊C4C23×D6114yes—
2384C22⋊C4C23×D6112yes—
2385C22⋊C4C23×D6112yes—
2386C22⋊C4C23×D6114yes—
2387C22⋊C4C23×D6114yes—
2388C22⋊C4C23×D6112yes—
2389C22⋊C4C23×D6114yes—
2390C22⋊C4C23×D6114yes—
2391C22⋊C4C23×D6114yes—
2392C22⋊C4C23×D6112yes—
2393C22⋊C4C23×D6114yes—
2394C42—611no—
2395C42—612no—
2396C42—611no—
2397C42—611no—
2398C42—611no—
2399C42—611no—
2400C42—612no—
2401C42—612no—
2402C42—612no—
2403C42—611no—
2404C42—612no—
2405C42—614no—
2406C42—612no—
2407C42—611no—
2408C42—611no—
2409C42—611no—
2410C42—611no—
2411C42—612no—
2412C42—611no—
2413C42—612no—
2414C42—612no—
2415C42—612no—
2416C42—612no—
2417C42—611no—
2418C42—612no—
2419C42—614no—
2420C42—614no—
2421C42—614no—
2422C42—612no—
2423C42—614no—
2424C42—614no—
2425C42C23×D6111yescharacteristic
2426C42C23×D6112yes—
2427C42C23×D6112yes—
2428C42C23×D6112yes—
2429C42C23×D6111yescharacteristic
2430C42C23×D6111yescharacteristic
2431C42C23×D6111yescharacteristic
2432C42C23×D6114yes—
2433C42C23×D6114yes—
2434C42C23×D6112yes—
2435C42C23×D6112yes—
2436C23—24no—
2437C23—42no—
2438C23—42no—
2439C23—612no—
2440C23—611no—
2441C23—612no—
2442C23—611no—
2443C23—612no—
2444C23—1228no—
2445C23—1224no—
2446C23—1222no—
2447C23—1224no—
2448C23—1222no—
2449C23—2444no—
2450C23—2444no—
2451C23—2441no—
2452C23—2442no—
2453C23C24×D6114yes—
2454C23C24×D6112yes—
2455C23C24×D6111yescharacteristic
2456Q8—24no—
2457Q8—24no—
2458Q8—22no—
2459Q8—42no—
2460Q8—42no—
2461Q8—614no—
2462Q8—1228no—
2463Q8—1224no—
2464Q8—1222no—
2465Q8—1222no—
2466Q8—2444no—
2467Q8—2444no—
2468D4—24no—
2469D4—24no—
2470D4—24no—
2471D4—22no—
2472D4—44no—
2473D4—44no—
2474D4—618no—
2475D4—614no—
2476D4—1224no—
2477D4—1224no—
2478D4—1228no—
2479D4—1224no—
2480D4—1228no—
2481D4—1224no—
2482D4—1228no—
2483D4—1224no—
2484D4—1228no—
2485D4—1224no—
2486D4—1224no—
2487D4—1222no—
2488D4—1222no—
2489D4—2442no—
2490D4—2442no—
2491D4—2442no—
2492D4—2442no—
2493D4—2444no—
2494D4—2444no—
2495D4—2444no—
2496D4—2444no—
2497D4—2444no—
2498C2×C4—24no—
2499C2×C4—24no—
2500C2×C4—42no—
2501C2×C4—42no—
2502C2×C4—44no—
2503C2×C4—41no—
2504C2×C4—41no—
2505C2×C4—44no—
2506C2×C4—611no—
2507C2×C4—612no—
2508C2×C4—618no—
2509C2×C4—611no—
2510C2×C4—611no—
2511C2×C4—611no—
2512C2×C4—611no—
2513C2×C4—612no—
2514C2×C4—611no—
2515C2×C4—612no—
2516C2×C4—612no—
2517C2×C4—612no—
2518C2×C4—614no—
2519C2×C4—614no—
2520C2×C4—1224no—
2521C2×C4—1224no—
2522C2×C4—1222no—
2523C2×C4—1224no—
2524C2×C4—1222no—
2525C2×C4—1228no—
2526C2×C4—1224no—
2527C2×C4—1224no—
2528C2×C4—1222no—
2529C2×C4—1224no—
2530C2×C4—1222no—
2531C2×C4—1228no—
2532C2×C4—1224no—
2533C2×C4—1222no—
2534C2×C4—1228no—
2535C2×C4—1224no—
2536C2×C4—1228no—
2537C2×C4—1222no—
2538C2×C4—1222no—
2539C2×C4—1222no—
2540C2×C4—1222no—
2541C2×C4—1222no—
2542C2×C4—1224no—
2543C2×C4—1224no—
2544C2×C4—2442no—
2545C2×C4—2441no—
2546C2×C4—2441no—
2547C2×C4—2444no—
2548C2×C4—2442no—
2549C2×C4—2442no—
2550C2×C4—2442no—
2551C2×C4—2444no—
2552C2×C4—2441no—
2553C2×C4—2441no—
2554C2×C4—2444no—
2555C2×C4—2444no—
2556C2×C4—2442no—
2557C2×C4—2442no—
2558C2×C4—2441no—
2559C2×C4—2444no—
2560C2×C4—2442no—
2561C2×C4—2442no—
2562C2×C4—2442no—
2563C2×C4#41×D6114yes—
2564C2×C4C24×D6111yescharacteristic
2565C2×C4C24×D6112yes—
2566C2×C4C24×D6111yescharacteristic
2567C2×C4C24×D6112yes—
2568C2×C4C24×D6112yes—
2569C2×C4C24×D6112yes—
2570C2×C4C24×D6114yes—
2571C2×C4C24×D6112yes—
2572C2×C4C24×D6111yescharacteristic
2573C2×C4C24×D6111yescharacteristic
2574C2×C4C24×D6112yes—
2575C2×C4C24×D6112yes—
2576C2×C4C24×D6111yescharacteristic
2577C2×C4C24×D6111yescharacteristic
2578C22—21no—
2579C22—21no—
2580C22—22no—
2581C22—24no—
2582C22—24no—
2583C22—22no—
2584C22—22no—
2585C22—24no—
2586C22—84no—
2587C22—614no—
2588C22—612no—
2589C22—1221no—
2590C22—1222no—
2591C22—1221no—
2592C22—1222no—
2593C22—1222no—
2594C22—1221no—
2595C22—1222no—
2596C22—1222no—
2597C22—1221no—
2598C22—1222no—
2599C22—1222no—
2600C22—1221no—
2601C22—1222no—
2602C22—4888no—
2603C22—2444no—
2604C22—2448no—
2605C22C2×#41×D6112yes—
2606C22C25×D6111yescharacteristic
2607C4—22no—
2608C4—24no—
2609C4—21no—
2610C4—22no—
2611C4—21no—
2612C4—22no—
2613C4—22no—
2614C4—22no—
2615C4—21no—
2616C4—21no—
2617C4—22no—
2618C4—22no—
2619C4—614no—
2620C4—612no—
2621C4—1221no—
2622C4—1222no—
2623C4—1221no—
2624C4—1222no—
2625C4—1221no—
2626C4—1221no—
2627C4—1221no—
2628C4—1224no—
2629C4—1222no—
2630C4—1222no—
2631C4—1224no—
2632C4C2×#41×D6112yes—
2633C4C2×#41×D6112yes—
2634C2—22no—
2635C2—44no—
2636C2—42no—
2637C2—1224no—
2638C2—1222no—
2639C2—2442no—
2640C2—2441no—
2641C2—2442no—
2642C2C22×#41×D6111yescharacteristic
2643C2#585×D6111yescharacteristic
2644C2#585×D6111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3510C2
hypercenter#3510D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #21459923C2semidirect
2. #21459886C2semidirect
3. #21459884C2semidirect
4. #21459807C2semidirect
5. #21459758C2semidirect
6. #21459756C2semidirect
7. #21459741C2semidirect
8. #21459734C2semidirect
9. #21459708C2semidirect
10. #21459640C2semidirect
11. #21459609C2semidirect
12. #21459569C2semidirect
13. #21459561C2semidirect
14. #21459552C2semidirect
15. #21459544C2semidirect
16. #21459497C2semidirect
17. #21459486C2semidirect
18. #21459438C2semidirect
19. #21459428C2semidirect
20. #21459422C2semidirect
21. #21459415C2semidirect
22. #21459380C2semidirect
23. #21459374C2semidirect
24. #21459245C2semidirect
25. #21459243C2semidirect
26. #21459239C2semidirect
27. #21459232C2semidirect
28. #21459116C2semidirect
29. #21459113C2semidirect
30. C2×#16840291C2semidirect
31. #529×D61C2semidirect
32. #21459028C2semidirect
33. #21459023C2semidirect
34. C4×#41×D61C2semidirect
35. C61×#3510C2semidirect
39. #16840496C22semidirect
40. #16840495C22semidirect
41. #16840490C22semidirect
42. #16840490C22semidirect
43. #16840485C22semidirect
44. #16840481C22semidirect
45. #16840480C22semidirect
46. #16840479C22semidirect
47. #16840477C22semidirect
48. #16840474C22semidirect
49. #16840472C22semidirect
50. #16840472C22semidirect
51. #16840472C22semidirect
52. #16840466C22semidirect
53. #16840466C22semidirect
54. #16840466C22semidirect
55. #16840463C22semidirect
56. #16840463C22semidirect
57. #16840462C22semidirect
58. #16840462C22semidirect
59. #16840462C22semidirect
60. #16840462C22semidirect
61. #16840462C22semidirect
62. #16840461C22semidirect
63. #16840461C22semidirect
64. #16840461C22semidirect
65. #16840457C22semidirect
66. #16840457C22semidirect
67. #16840457C22semidirect
68. #16840456C22semidirect
69. #16840453C22semidirect
70. #16840453C22semidirect
71. #16840453C22semidirect
72. #16840453C22semidirect
73. #16840449C22semidirect
74. #16840448C22semidirect
75. #16840448C22semidirect
76. #16840448C22semidirect
77. #16840446C22semidirect
78. #16840445C22semidirect
79. #16840445C22semidirect
80. #16840442C22semidirect
81. #16840441C22semidirect
82. #16840440C22semidirect
83. #16840440C22semidirect
84. #16840439C22semidirect
85. #16840438C22semidirect
86. #16840437C22semidirect
87. #16840437C22semidirect
88. #16840436C22semidirect
89. #16840436C22semidirect
91. #16840427C22semidirect
93. #16840420C22semidirect
94. #16840420C22semidirect
95. #16840420C22semidirect
96. #16840417C22semidirect
97. #16840415C22semidirect
98. #16840414C22semidirect
99. #16840410C22semidirect
101. #16840405C22semidirect
102. #16840405C22semidirect
103. #16840405C22semidirect
104. #16840405C22semidirect
105. #16840404C22semidirect
106. #16840404C22semidirect
107. #16840402C22semidirect
108. #16840402C22semidirect
109. #16840402C22semidirect
113. #16840390C22semidirect
114. #16840390C22semidirect
115. #16840389C22semidirect
116. #16840389C22semidirect
117. #16840385C22semidirect
118. #16840384C22semidirect
119. #16840382C22semidirect
120. #16840381C22semidirect
121. #16840381C22semidirect
122. #16840379C22semidirect
123. #16840377C22semidirect
124. #16840376C22semidirect
125. #16840374C22semidirect
126. #16840373C22semidirect
127. #16840372C22semidirect
128. #16840370C22semidirect
129. #16840369C22semidirect
130. #16840367C22semidirect
131. #16840366C22semidirect
132. #16840365C22semidirect
133. #16840364C22semidirect
134. #16840363C22semidirect
135. #16840358C22semidirect
136. #16840356C22semidirect
137. #16840355C22semidirect
138. #16840351C22semidirect
139. #16840347C22semidirect
140. #16840346C22semidirect
141. #16840342C22semidirect
144. #16840340C22semidirect
145. #16840336C22semidirect
146. #16840335C22semidirect
147. #16840332C22semidirect
148. #16840330C22semidirect
149. #16840329C22semidirect
151. #16840318C22semidirect
152. #16840317C22semidirect
153. #16840317C22semidirect
154. #16840317C22semidirect
155. #16840316C22semidirect
156. #16840314C22semidirect
157. #16840314C22semidirect
158. #16840313C22semidirect
159. #16840313C22semidirect
160. #16840312C22semidirect
161. #16840311C22semidirect
162. #16840311C22semidirect
163. #16840310C22semidirect
164. #16840309C22semidirect
165. #16840307C22semidirect
166. #16840299C22semidirect
167. #16840299C22semidirect
168. #16840299C22semidirect
169. #16840298C22semidirect
170. #16840298C22semidirect
171. #16840298C22semidirect
172. #16840297C22semidirect
173. #16840297C22semidirect
174. #16840297C22semidirect
175. #16840297C22semidirect
176. #16840296C22semidirect
177. #16840296C22semidirect
178. #16840295C22semidirect
179. #16840295C22semidirect
180. #16840295C22semidirect
181. #16840295C22semidirect
182. #16840295C22semidirect
183. #16840294C22semidirect
184. #16840293C22semidirect
185. #16840292C22semidirect
186. #16840291C22semidirect
187. #16840291C22semidirect
188. #16840291C22semidirect
189. #16840291C22semidirect
190. #16840291C22semidirect
191. #16840291C22semidirect
192. #16840291C22semidirect
193. #16840291C22semidirect
194. #16840291C22semidirect
195. #16840291C22semidirect
196. #16840291C22semidirect
197. #16840290C22semidirect
198. #16840290C22semidirect
199. #16840289C22semidirect
200. #16840289C22semidirect
201. #16840289C22semidirect
202. #16840289C22semidirect
203. C2×#14519770C22semidirect
204. #126×D61C22semidirect
205. C2×#14519769C22semidirect
206. #125×D61C22semidirect
207. #124×D61C22semidirect
208. #16840275C22semidirect
209. #16840275C22semidirect
210. #16840275C22semidirect
211. #16840275C22semidirect
213. #16840274C22semidirect
215. #16840271C22semidirect
216. #16840270C22semidirect
217. #16840270C22semidirect
218. #16840268C22semidirect
219. C2×#14519759C22semidirect
220. #123×D61C22semidirect
221. C2×#14519753C22semidirect
222. C22⋊Q8×D61C22semidirect
225. #16840244C22semidirect
226. #16840244C22semidirect
229. #16840242C22semidirect
230. #16840242C22semidirect
231. #16840242C22semidirect
232. #16840241C22semidirect
233. #16840241C22semidirect
234. #16840238C22semidirect
235. #16840238C22semidirect
236. #16840235C22semidirect
237. #16840234C22semidirect
238. #16840234C22semidirect
239. #41×Dic61C22semidirect
240. C4×#11758226C22semidirect
241. C4×#11758226C22semidirect
242. C4×#11758226C22semidirect
243. C4×#11758226C22semidirect
244. C4×#11758226C22semidirect
245. C4×#11758226C22semidirect
247. C4×#11758222C22semidirect
249. #16840230C22semidirect
250. #16840230C22semidirect
251. #16840230C22semidirect
252. #16840230C22semidirect
253. #16840230C22semidirect
254. C4×#11758224C22semidirect
255. C4×#11758224C22semidirect
256. C4×#11758224C22semidirect
257. C4×#11758224C22semidirect
258. C4×#11758224C22semidirect
259. C4×#11758224C22semidirect
260. C4×#11758224C22semidirect
261. C2×Q8×Dic61C22semidirect
262. C4×Q8×D61C22semidirect
263. C4×Q8×D61C22semidirect
264. C4×Q8×D61C22semidirect
265. C4×Q8×D61C22semidirect
266. C2×D4×Dic61C22semidirect
267. C2×#14519737C22semidirect
268. C2×#14519737C22semidirect
269. C4×D4×D61C22semidirect
270. C4×D4×D61C22semidirect
271. C4×D4×D61C22semidirect
272. C4×D4×D61C22semidirect
273. C4×D4×D61C22semidirect
274. C4×D4×D61C22semidirect
275. C4×D4×D61C22semidirect
276. C2×#14519733C22semidirect
277. #117×D61C22semidirect
278. #117×D61C22semidirect
279. #117×D61C22semidirect
280. C2×C42×D61C22semidirect
281. C2×C42×D61C22semidirect
282. C61×#559C22semidirect
283. C61×#559C22semidirect
284. C61×#556C22semidirect
285. C61×#556C22semidirect
286. C61×#551C22semidirect
287. C61×#551C22semidirect
288. C61×#542C22semidirect
289. C61×#542C22semidirect
290. C61×#536C22semidirect
292. C61×#533C22semidirect
293. C61×#529C22semidirect
294. C61×#529C22semidirect
295. C2×#124×C61C22semidirect
296. C61×#519C22semidirect
297. C61×#518C22semidirect
298. C4×#41×C61C22semidirect
890. #11758222#41semidirect
1321. #3510D61semidirect
1363. #559C2×D61semidirect
1364. #559C2×D61semidirect
1371. #556C2×D61semidirect
1372. #556C2×D61semidirect
1416. #551C2×D61semidirect
1417. #551C2×D61semidirect
1453. #542C2×D61semidirect
1454. #542C2×D61semidirect
1478. #536C2×D61semidirect
1490. #533C2×D61semidirect
1536. #529C2×D61semidirect
1537. #529C2×D61semidirect
1543. C2×#124C2×D61semidirect
1572. #519C2×D61semidirect
1576. #518C2×D61semidirect
1599. C4×#41C2×D61semidirect
1621. C61#62810semidirect

Maximal subgroups

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

subgroupindex
#214599232
#214598862
#214598842
#214598072
#214597582
#214597562
#214597412
#214597342
#214597082
#214596402
#214596092
#214595692
#214595612
#214595522
#214595442
#214594972
#214594862
#214594382
#214594282
#214594222
#214594152
#214593802
#214593742
#214592452
#214592432
#214592392
#214592322
#214591162
#214591132
C2×#168402912
#529×D612
#214590282
#214590232
C4×#41×D612
C61×#35102
#6281061