Finite Group Databasebeta

← #30588534

Subgroups — #30588534

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#21459927C212yesmaximal, complemented
2#21459894C212yesmaximal, complemented
3#21459878C214yesmaximal, complemented
4#21459811C212yesmaximal, complemented
5#21459766C212yesmaximal, complemented
6#21459750C214yesmaximal, complemented
7#21459734C212yesmaximal, complemented
8#21459715C211yesmaximal, characteristic, complemented
9#21459708C212yesmaximal, complemented
10#21459643C211yesmaximal, characteristic, complemented
11#21459606C211yesmaximal, characteristic, complemented
12#21459572C211yesmaximal, characteristic, complemented
13#21459563C212yesmaximal, complemented
14#21459555C211yesmaximal, characteristic, complemented
15#21459546C212yesmaximal, complemented
16#21459494C211yesmaximal, characteristic, complemented
17#21459483C211yesmaximal, characteristic, complemented
18#21459433C212yesmaximal, complemented
19#21459426C214yesmaximal, complemented
20#21459426C212yesmaximal, complemented
21#21459413C212yesmaximal, complemented
22#21459384C212yesmaximal, complemented
23#21459378C214yesmaximal, complemented
24#21459251C212yesmaximal, complemented
25#21459247C211yesmaximal, characteristic, complemented
26#21459236C211yesmaximal, characteristic, complemented
27#21459234C212yesmaximal, complemented
28#21459114C211yesmaximal, characteristic, complemented
29#21459113C212yesmaximal, complemented
30C2×#16840297C211yesmaximal, characteristic, complemented
31#529×D61C212yesmaximal, complemented
32#21459030C211yesmaximal, characteristic, complemented
33#21459025C211yesmaximal, characteristic, complemented
34C4×#41×D61C211yesmaximal, characteristic, complemented
35C61×#3512C211yesmaximal, characteristic, complemented
36C2×#14519824C2211yescharacteristic
37C2×#14519823C2211yescharacteristic
38C2×#41×D61C2211yescharacteristic
39#16840496C2214yescomplemented
40#16840495C2212yescomplemented
41#16840495C2212yescomplemented
42#16840495C2214yescomplemented
43#16840489C2212yescomplemented
44#16840489C2212yescomplemented
45#16840484C2212yescomplemented
46#16840484C2212yescomplemented
47#16840480C2214yescomplemented
48#16840480C2212yescomplemented
49#16840479C2214yescomplemented
50#16840479C2214yescomplemented
51#16840476C2214yescomplemented
52#16840475C2212yescomplemented
53#16840468C2212yescomplemented
54#16840468C2214yescomplemented
55#16840468C2212yescomplemented
56#16840467C2214yescomplemented
57#16840467C2212yescomplemented
58#16840467C2214yescomplemented
59#16840463C2214yescomplemented
60#16840462C2214yescomplemented
61#16840461C2214yescomplemented
62#16840460C2212yescomplemented
63#16840457C2214yescomplemented
64#16840457C2214yescomplemented
65#16840457C2214yescomplemented
66#16840456C2214yescomplemented
67#16840456C2212yescomplemented
68#16840455C2214yescomplemented
69#16840452C2214yescomplemented
70#16840451C2212yescomplemented
71#16840450C2214yescomplemented
72#16840448C2214yescomplemented
73#16840448C2214yescomplemented
74#16840447C2212yescomplemented
75#16840445C2214yescomplemented
76#16840444C2214yescomplemented
77#16840444C2214yescomplemented
78#16840441C2214yescomplemented
79#16840441C2214yescomplemented
80#16840441C2214yescomplemented
81#16840441C2214yescomplemented
82#16840441C2214yescomplemented
83#16840440C2214yescomplemented
84#16840440C2214yescomplemented
85#16840437C2214yescomplemented
86#16840437C2214yescomplemented
87#16840437C2214yescomplemented
88#16840436C2214yescomplemented
89#16840435C2214yescomplemented
90#16840430C2212yes—
91#16840425C2212yescomplemented
92#16840422C2212yes—
93#16840421C2212yescomplemented
94#16840421C2212yescomplemented
95#16840418C2212yescomplemented
96#16840414C2212yescomplemented
97#16840413C2212yescomplemented
98#16840412C2214yescomplemented
99#16840410C2214yescomplemented
100#16840409C2212yescomplemented
101#16840409C2214yescomplemented
102#16840408C2214yescomplemented
103#16840408C2212yescomplemented
104#16840408C2212yescomplemented
105#16840403C2212yes—
106#16840401C2214yes—
107#16840401C2214yescomplemented
108#16840401C2214yescomplemented
109#16840401C2214yescomplemented
110#16840401C2214yescomplemented
111#16840396C2214yes—
112#16840396C2212yes—
113#16840393C2211yescharacteristic, complemented
114#16840393C2211yescharacteristic, complemented
115#16840392C2212yescomplemented
116#16840392C2212yescomplemented
117#16840385C2212yescomplemented
118#16840385C2212yescomplemented
119#16840384C2212yescomplemented
120#16840383C2212yescomplemented
121#16840383C2212yescomplemented
122#16840380C2214yescomplemented
123#16840379C2212yescomplemented
124#16840379C2212yescomplemented
125#16840378C2214yescomplemented
126#16840377C2212yescomplemented
127#16840372C2212yescomplemented
128#16840372C2212yescomplemented
129#16840371C2214yescomplemented
130#16840370C2212yescomplemented
131#16840365C2212yescomplemented
132#16840365C2212yescomplemented
133#16840363C2212yescomplemented
134#16840362C2214yescomplemented
135#16840360C2214yescomplemented
136#16840357C2214yescomplemented
137#16840353C2214yescomplemented
138#16840349C2214yescomplemented
139#16840348C2214yescomplemented
140#16840344C2214yescomplemented
141#16840342C2212yes—
142#16840341C2212yescomplemented
143#16840337C2212yescomplemented
144#16840335C2212yescomplemented
145#16840333C2211yescharacteristic, complemented
146#16840333C2211yescharacteristic, complemented
147#16840328C2212yes—
148#16840326C2211yescharacteristic
149#16840326C2211yescharacteristic, complemented
150#16840325C2212yescomplemented
151#16840319C2211yescharacteristic, complemented
152#16840318C2214yescomplemented
153#16840318C2212yescomplemented
154#16840317C2211yescharacteristic, complemented
155#16840317C2211yescharacteristic, complemented
156#16840316C2212yescomplemented
157#16840314C2212yescomplemented
158#16840314C2212yescomplemented
159#16840311C2212yescomplemented
160#16840310C2211yescharacteristic, complemented
161#16840310C2211yescharacteristic, complemented
162#16840309C2212yescomplemented
163#16840307C2212yescomplemented
164#16840307C2214yescomplemented
165#16840307C2212yescomplemented
166#16840299C2212yescomplemented
167#16840298C2212yescomplemented
168#16840298C2212yescomplemented
169#16840297C2212yescomplemented
170#16840297C2212yescomplemented
171#16840297C2214yescomplemented
172#16840297C2212yescomplemented
173#16840297C2212yescomplemented
174#16840297C2212yescomplemented
175#16840297C2212yescomplemented
176#16840297C2212yescomplemented
177#16840297C2212yescomplemented
178#16840296C2212yescomplemented
179#16840296C2212yescomplemented
180#16840295C2214yescomplemented
181#16840295C2214yescomplemented
182#16840295C2214yescomplemented
183#16840295C2214yescomplemented
184#16840295C2214yescomplemented
185#16840294C2212yescomplemented
186#16840294C2212yescomplemented
187#16840294C2212yescomplemented
188#16840293C2212yescomplemented
189#16840293C2214yescomplemented
190#16840293C2212yescomplemented
191#16840293C2212yescomplemented
192#16840293C2212yescomplemented
193#16840292C2214yescomplemented
194#16840291C2211yescharacteristic, complemented
195#16840291C2211yescharacteristic, complemented
196#16840291C2211yescharacteristic, complemented
197#16840291C2211yescharacteristic, complemented
198#16840290C2214yescomplemented
199#16840290C2214yescomplemented
200#16840289C2214yescomplemented
201#16840289C2214yescomplemented
202#16840289C2214yescomplemented
203C2×#14519772C2212yescomplemented
204#126×D61C2214yescomplemented
205#125×D61C2212yescomplemented
206C2×#14519765C2211yescharacteristic, complemented
207#124×D61C2212yescomplemented
208#16840275C2212yes—
209#16840272C2214yescomplemented
210#16840272C2214yescomplemented
211#16840272C2212yescomplemented
212#16840272C2212yescomplemented
213#16840272C2212yescomplemented
214#16840271C2214yescomplemented
215#16840270C2214yescomplemented
216#16840270C2214yescomplemented
217#16840269C2211yescharacteristic
218#16840269C2211yescharacteristic, complemented
219C2×#14519762C2212yescomplemented
220#123×D61C2214yescomplemented
221C2×#14519757C2211yescharacteristic, complemented
222C22⋊Q8×D61C2212yescomplemented
223C2×#14519752C2211yescharacteristic
224#121×D61C2212yes—
225#16840244C2212yescomplemented
226#16840243C2211yescharacteristic
227#16840243C2211yescharacteristic
228#16840243C2212yescomplemented
229#16840243C2212yescomplemented
230#16840241C2212yescomplemented
231#16840241C2214yescomplemented
232#16840239C2211yescharacteristic, complemented
233#16840239C2212yescomplemented
234#16840238C2212yescomplemented
235#16840236C2211yescharacteristic, complemented
236#16840236C2212yescomplemented
237#16840234C2214yescomplemented
238#16840234C2212yescomplemented
239#41×Dic61C2211yescharacteristic, complemented
240#41×Dic61C2211yescharacteristic, complemented
241#41×Dic61C2211yescharacteristic, complemented
242C4×#11758226C2212yescomplemented
243C4×#11758226C2211yescharacteristic, complemented
244C4×#11758226C2211yescharacteristic, complemented
245C4×#11758222C2211yescharacteristic
246C4×#11758222C2212yescomplemented
247#16840230C2211yescharacteristic
248#16840230C2212yescomplemented
249#16840230C2212yescomplemented
250#16840230C2212yescomplemented
251#16840230C2214yescomplemented
252C4×#11758224C2212yescomplemented
253C4×#11758224C2212yescomplemented
254C4×#11758224C2212yescomplemented
255C4×#11758224C2211yescharacteristic, complemented
256C4×#11758224C2211yescharacteristic, complemented
257C4×#11758224C2214yescomplemented
258C4×#11758224C2214yescomplemented
259C4×#11758224C2212yescomplemented
260C4×#11758224C2212yescomplemented
261C2×#14519742C2211yescharacteristic, complemented
262C2×#14519742C2212yescomplemented
263C4×Q8×D61C2212yescomplemented
264C4×Q8×D61C2211yescharacteristic, complemented
265C4×Q8×D61C2211yescharacteristic, complemented
266C2×#14519739C2211yescharacteristic, complemented
267C2×#14519739C2212yescomplemented
268C2×#14519739C2212yescomplemented
269C4×D4×D61C2212yescomplemented
270C4×D4×D61C2212yescomplemented
271C4×D4×D61C2211yescharacteristic, complemented
272C4×D4×D61C2211yescharacteristic, complemented
273C4×D4×D61C2212yescomplemented
274C4×D4×D61C2214yescomplemented
275C4×D4×D61C2214yescomplemented
276C2×#14519735C2212yescomplemented
277#117×D61C2212yescomplemented
278#117×D61C2211yescharacteristic, complemented
279#117×D61C2214yescomplemented
280C2×C42×D61C2212yescomplemented
281C2×C42×D61C2211yescharacteristic, complemented
282C61×#553C2214yescomplemented
283C61×#553C2212yescomplemented
284C61×#553C2214yescomplemented
285C61×#553C2212yescomplemented
286C61×#552C2212yescomplemented
287C61×#552C2212yescomplemented
288C61×#541C2212yescomplemented
289C61×#540C2212yescomplemented
290C61×#537C2211yescharacteristic
291C61×#537C2211yescharacteristic, complemented
292C61×#532C2211yescharacteristic, complemented
293C61×#529C2212yescomplemented
294C61×#529C2212yescomplemented
295C2×#125×C61C2211yescharacteristic, complemented
296C61×#520C2211yescharacteristic, complemented
297C61×#520C2211yescharacteristic, complemented
298C4×#41×C61C2211yescharacteristic, complemented
299#14519824—28no—
300#14519823—28no—
301C2×#11758226C2311yescharacteristic
302C2×#11758226C2312yes—
303C2×#11758222C2312yes—
304C2×#11758222C2312yes—
305C2×#11758222C2312yes—
306C2×#11758222C2314yes—
307C2×#11758222C2311yescharacteristic
308C2×#11758224C2312yes—
309C2×#11758224C2311yescharacteristic
310C2×#11758224C2312yes—
311C2×#11758224C2314yes—
312C2×#11758224C2312yes—
313C2×#11758224C2314yes—
314C2×#11758224C2312yes—
315#41×D61—28no—
316C22×Dic122C2311yescharacteristic
317C22×Dic122C2312yes—
318C2×Q8×D61C2311yescharacteristic
319C2×Q8×D61C2312yes—
320C22×D244C2311yescharacteristic
321C22×D244C2312yes—
322C22×D244C2312yes—
323C2×D4×D61C2312yes—
324C2×D4×D61C2311yescharacteristic
325C2×D4×D61C2312yes—
326C2×D4×D61C2314yes—
327C2×D4×D61C2314yes—
328C22×C4×D61C2312yes—
329C22×C4×D61C2311yescharacteristic
330C22×C4×D61C2312yes—
331C22×C4×D61C2311yescharacteristic
332C22×C4×D61C2312yes—
333C22×C4×D61C2311yescharacteristic
334C22×C4×D61C2314yes—
335C22×C4×D61C2312yes—
336#14519777C2311yescharacteristic
337#14519777C2311yescharacteristic
338#14519776C2314yes—
339#14519776C2312yes—
340#14519776C2314yes—
341#14519776C2312yes—
342#14519776C2314yes—
343#14519776C2312yes—
344#14519776C2312yes—
345#14519775C2312yes—
346#14519775C2312yes—
347#14519773C2312yes—
348#14519773C2314yes—
349#14519773C2312yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2314yes—
353#14519772C2314yes—
354#14519772C2314yes—
355#14519772C2314yes—
356#14519772C2314yes—
357#14519772C2314yes—
358#14519772C2314yes—
359#14519772C2314yes—
360#14519771C2314yes—
361#14519771C2314yes—
362#14519771C2314yes—
363#14519771C2314yes—
364#14519770C2312yes—
365#14519770C2314yes—
366#14519770C2314yes—
367#14519770C2314yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519770C2312yes—
371#14519770C2312yes—
372#14519770C2314yes—
373#14519770C2312yes—
374#14519769C2314yes—
375#14519769C2311yescharacteristic
376#14519769C2311yescharacteristic
377#14519768C2312yes—
378#14519768C2314yes—
379#14519768C2312yes—
380#14519768C2312yes—
381#14519768C2312yes—
382#14519768C2312yes—
383#14519768C2312yes—
384#14519767C2314yes—
385#14519767C2314yes—
386#14519767C2314yes—
387#14519767C2314yes—
388#14519767C2314yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2314yes—
392#14519766C2312yes—
393#14519766C2312yes—
394#14519765C2314yes—
395#14519765C2312yes—
396#14519765C2312yes—
397#14519765C2312yes—
398#14519765C2312yes—
399#14519764C2312yes—
400#14519764C2314yes—
401#14519764C2312yes—
402#14519764C2312yes—
403#14519764C2312yes—
404#14519763C2314yes—
405#14519763C2314yes—
406#14519763C2314yes—
407#14519763C2314yes—
408#14519763C2314yes—
409#14519763C2314yes—
410#14519763C2314yes—
411#14519763C2314yes—
412#14519763C2314yes—
413#14519763C2314yes—
414#14519762C2314yes—
415#14519762C2314yes—
416#14519762C2314yes—
417#14519762C2314yes—
418#14519762C2314yes—
419#14519762C2314yes—
420#14519762C2314yes—
421#14519762C2314yes—
422#14519762C2314yes—
423#14519762C2314yes—
424#14519761C2314yes—
425#14519761C2314yes—
426#14519760C2314yes—
427#14519760C2314yes—
428#14519760C2314yes—
429#14519760C2314yes—
430#14519759C2314yes—
431#14519759C2314yes—
432#14519759C2314yes—
433#14519759C2314yes—
434#14519759C2314yes—
435#14519759C2314yes—
436#14519759C2312yes—
437#14519759C2312yes—
438#14519759C2312yes—
439#14519759C2312yes—
440#14519759C2314yes—
441#14519759C2314yes—
442#14519758C2312yes—
443#14519758C2314yes—
444#14519758C2314yes—
445#14519758C2314yes—
446#14519758C2312yes—
447#14519758C2314yes—
448#14519757C2314yes—
449#14519757C2314yes—
450#14519757C2312yes—
451#14519757C2314yes—
452#14519757C2312yes—
453#14519757C2312yes—
454#14519757C2312yes—
455#14519757C2312yes—
456#14519757C2312yes—
457#14519756C2312yes—
458#14519756C2314yes—
459#14519756C2314yes—
460#14519756C2312yes—
461#14519756C2312yes—
462#14519756C2314yes—
463#14519756C2312yes—
464#14519756C2312yes—
465#14519756C2312yes—
466#14519755C2314yes—
467#14519755C2314yes—
468#14519755C2314yes—
469#14519755C2314yes—
470#14519755C2314yes—
471#14519755C2314yes—
472#14519755C2314yes—
473#14519755C2314yes—
474#14519755C2314yes—
475#14519755C2314yes—
476#14519755C2314yes—
477#14519755C2314yes—
478#14519754C2314yes—
479#14519754C2314yes—
480#14519754C2314yes—
481#14519754C2314yes—
482#14519753C2311yescharacteristic
483#14519753C2311yescharacteristic
484#14519753C2311yescharacteristic
485#14519753C2311yescharacteristic
486#14519752C2314yes—
487#14519752C2312yes—
488#14519752C2312yes—
489#14519752C2312yes—
490#14519752C2312yes—
491#14519751C2314yes—
492#14519751C2312yes—
493#14519751C2312yes—
494#14519751C2312yes—
495#14519751C2312yes—
496#14519750C2314yes—
497#14519750C2314yes—
498#14519750C2314yes—
499#14519750C2314yes—
500#14519750C2314yes—
501#14519750C2314yes—
502#14519750C2314yes—
503#14519750C2314yes—
504#14519749C2314yes—
505#14519749C2314yes—
506#14519749C2314yes—
507#14519749C2314yes—
508#14519749C2314yes—
509#14519749C2314yes—
510#14519748C2312yes—
511#14519748C2314yes—
512#14519748C2314yes—
513#14519748C2311yescharacteristic
514#14519748C2311yescharacteristic
515#14519748C2311yescharacteristic
516#14519748C2311yescharacteristic
517#14519748C2312yes—
518#14519747C2314yes—
519#14519747C2314yes—
520#14519745C2312yes—
521#14519745C2312yes—
522#14519745C2314yes—
523#14519745C2314yes—
524#14519745C2314yes—
525#14519745C2314yes—
526#14519745C2314yes—
527#14519745C2314yes—
528Q8×Dic61C2311yescharacteristic
529Q8×Dic61C2311yescharacteristic
530Q8×Dic61C2311yescharacteristic
531Q8×Dic61C2311yescharacteristic
532Q8×Dic61C2311yescharacteristic
533Q8×Dic61C2311yescharacteristic
534C4×Dic122C2312yes—
535C4×Dic122C2314yes—
536C4×Dic122C2314yes—
537C4×Dic122C2312yes—
538C4×Dic122C2312yes—
539C4×Dic122C2312yes—
540C4×Dic122C2311yescharacteristic
541C4×Dic122C2311yescharacteristic
542C4×Dic122C2314yes—
543C4×Dic122C2312yes—
544C4×Dic122C2312yes—
545#14519742C2312yes—
546#14519742C2314yes—
547#14519742C2314yes—
548#14519742C2312yes—
549#14519742C2314yes—
550#14519742C2312yes—
551#14519742C2311yescharacteristic
552#14519742C2314yes—
553#14519742C2312yes—
554#14519742C2311yescharacteristic
555#14519742C2312yes—
556#14519742C2312yes—
557#14519742C2312yes—
558#14519742C2312yes—
559#14519742C2312yes—
560#14519742C2312yes—
561#14519742C2312yes—
562#14519742C2312yes—
563#14519742C2314yes—
564C4×D244C2314yes—
565C4×D244C2312yes—
566C4×D244C2314yes—
567C4×D244C2312yes—
568C4×D244C2311yescharacteristic
569C4×D244C2311yescharacteristic
570C4×D244C2312yes—
571C4×D244C2314yes—
572C4×D244C2312yes—
573D4×Dic61C2312yes—
574D4×Dic61C2314yes—
575D4×Dic61C2312yes—
576D4×Dic61C2311yescharacteristic
577D4×Dic61C2312yes—
578D4×Dic61C2311yescharacteristic
579D4×Dic61C2312yes—
580D4×Dic61C2311yescharacteristic
581D4×Dic61C2314yes—
582D4×Dic61C2312yes—
583D4×Dic61C2311yescharacteristic
584D4×Dic61C2312yes—
585D4×Dic61C2312yes—
586D4×Dic61C2311yescharacteristic
587D4×Dic61C2312yes—
588D4×Dic61C2311yescharacteristic
589#14519739C2314yes—
590#14519739C2312yes—
591#14519739C2314yes—
592#14519739C2314yes—
593#14519739C2312yes—
594#14519739C2312yes—
595#14519739C2312yes—
596#14519739C2314yes—
597#14519739C2311yescharacteristic
598#14519739C2314yes—
599#14519739C2314yes—
600#14519739C2312yes—
601#14519739C2311yescharacteristic
602#14519739C2312yes—
603#14519739C2312yes—
604#14519739C2312yes—
605#14519739C2312yes—
606#14519739C2312yes—
607#14519739C2314yes—
608C4×C22⋊D61C2312yes—
609C4×C22⋊D61C2314yes—
610C4×C22⋊D61C2314yes—
611C4×C22⋊D61C2312yes—
612C4×C22⋊D61C2312yes—
613C4×C22⋊D61C2312yes—
614C4×C22⋊D61C2314yes—
615C4×C22⋊D61C2314yes—
616C4×C22⋊D61C2314yes—
617C4×C22⋊D61C2312yes—
618C4×C22⋊D61C2312yes—
619C4×C22⋊D61C2312yes—
620C4×C22⋊D61C2312yes—
621C4×C22⋊D61C2312yes—
622C4×C22⋊D61C2314yes—
623C4×C22⋊D61C2314yes—
624C4×C22⋊D61C2314yes—
625C4×C22⋊D61C2312yes—
626C4×C22⋊D61C2314yes—
627C4×C22⋊D61C2314yes—
628#14519737C2314yes—
629#14519737C2314yes—
630#14519737C2314yes—
631#14519737C2314yes—
632#14519737C2314yes—
633#14519737C2314yes—
634#14519737C2312yes—
635#14519737C2312yes—
636#14519737C2312yes—
637#14519737C2314yes—
638#14519737C2312yes—
639#14519737C2312yes—
640#14519737C2312yes—
641#14519737C2312yes—
642#14519737C2312yes—
643#14519737C2314yes—
644#14519737C2314yes—
645#14519737C2312yes—
646#14519737C2312yes—
647#14519737C2314yes—
648#14519736C2314yes—
649#14519736C2311yescharacteristic
650#14519736C2312yes—
651#14519736C2311yescharacteristic
652#14519736C2312yes—
653#14519736C2311yescharacteristic
654#14519736C2312yes—
655#14519735C2314yes—
656#14519735C2314yes—
657#14519735C2312yes—
658#14519735C2314yes—
659#14519735C2311yescharacteristic
660#14519735C2314yes—
661#14519735C2311yescharacteristic
662#14519735C2312yes—
663#14519735C2314yes—
664#14519735C2314yes—
665#14519735C2312yes—
666#14519735C2312yes—
667#14519735C2312yes—
668#14519735C2312yes—
669#14519735C2314yes—
670#14519734C2314yes—
671#14519734C2314yes—
672#14519734C2314yes—
673#14519734C2314yes—
674#14519734C2312yes—
675#14519734C2312yes—
676#14519734C2312yes—
677#14519734C2314yes—
678#14519734C2314yes—
679#14519733C2312yes—
680#14519733C2314yes—
681#14519733C2312yes—
682#14519733C2314yes—
683#14519733C2312yes—
684#14519733C2312yes—
685#14519733C2312yes—
686#14519733C2314yes—
687#14519733C2312yes—
688#14519733C2312yes—
689#14519733C2314yes—
690#14519733C2314yes—
691C2×C4⋊Dic61C2312yes—
692C2×#11758196C2314yes—
693C2×#11758196C2312yes—
694C4⋊C4×D61C2314yes—
695C4⋊C4×D61C2314yes—
696C4⋊C4×D61C2311yescharacteristic
697C4⋊C4×D61C2311yescharacteristic
698C4⋊C4×D61C2314yes—
699C4⋊C4×D61C2312yes—
700C4⋊C4×D61C2314yes—
701C4⋊C4×D61C2312yes—
702C4⋊C4×D61C2312yes—
703C4⋊C4×D61C2312yes—
704C4⋊C4×D61C2314yes—
705C2×#11758198C2312yes—
706C2×#11758198C2312yes—
707C2×#11758198C2312yes—
708C2×#11758198C2314yes—
709C2×#11758198C2312yes—
710C2×#11758198C2312yes—
711C22⋊C4×D61C2312yes—
712C22⋊C4×D61C2312yes—
713C22⋊C4×D61C2312yes—
714C22⋊C4×D61C2314yes—
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×Dic61C2312yes—
729C2×C4×Dic61C2314yes—
730C2×C4×Dic61C2312yes—
731C42×D61C2311yescharacteristic
732C42×D61C2312yes—
733C42×D61C2312yes—
734C42×D61C2311yescharacteristic
735C42×D61C2311yescharacteristic
736C42×D61C2312yes—
737C42×D61C2312yes—
738C42×D61C2312yes—
739C42×D61C2311yescharacteristic
740C42×D61C2311yescharacteristic
741C42×D61C2312yes—
742C42×D61C2311yescharacteristic
743C42×D61C2311yescharacteristic
744C42×D61C2312yes—
745C42×D61C2311yescharacteristic
746C42×D61C2314yes—
747C42×D61C2314yes—
748C2×#41×C61C2311yescharacteristic
749C2×#41×C61C2311yescharacteristic
750C2×#41×C61C2311yescharacteristic
751C4⋊Q8×C61C2311yescharacteristic
752#127×C61C2311yescharacteristic
753#126×C61C2314yes—
754#126×C61C2314yes—
755#126×C61C2314yes—
756#126×C61C2314yes—
757#125×C61C2314yes—
758#125×C61C2312yes—
759#125×C61C2314yes—
760#125×C61C2312yes—
761#125×C61C2312yes—
762#125×C61C2312yes—
763#124×C61C2311yescharacteristic
764#124×C61C2311yescharacteristic
765#123×C61C2314yes—
766#123×C61C2314yes—
767#123×C61C2314yes—
768#123×C61C2314yes—
769C22⋊Q8×C61C2312yes—
770C22⋊Q8×C61C2312yes—
771C22⋊Q8×C61C2312yes—
772C22⋊Q8×C61C2312yes—
773#121×C61C2312yes—
774#121×C61C2312yes—
775#121×C61C2312yes—
776#121×C61C2314yes—
777#121×C61C2312yes—
778#121×C61C2312yes—
779#121×C61C2314yes—
780#121×C61C2312yes—
781#121×C61C2314yes—
782#121×C61C2314yes—
783C4×Q8×C61C2312yes—
784C4×Q8×C61C2312yes—
785C4×Q8×C61C2311yescharacteristic
786C4×Q8×C61C2311yescharacteristic
787C4×D4×C61C2312yes—
788C4×D4×C61C2312yes—
789C4×D4×C61C2314yes—
790C4×D4×C61C2312yes—
791C4×D4×C61C2312yes—
792C4×D4×C61C2314yes—
793C4×D4×C61C2311yescharacteristic
794C4×D4×C61C2311yescharacteristic
795C4×D4×C61C2312yes—
796C4×D4×C61C2312yes—
797C4×D4×C61C2314yes—
798C4×D4×C61C2314yes—
799#117×C61C2312yes—
800#117×C61C2312yes—
801#117×C61C2314yes—
802#117×C61C2312yes—
803#117×C61C2314yes—
804#117×C61C2311yescharacteristic
805C2×C4⋊C4×C61C2311yescharacteristic
806C2×C4⋊C4×C61C2311yescharacteristic
807C2×C4⋊C4×C61C2312yes—
808C2×C4⋊C4×C61C2312yes—
809C2×C4⋊C4×C61C2312yes—
810C2×C4⋊C4×C61C2312yes—
811C2×C42×C61C2311yescharacteristic
812C2×C42×C61C2312yes—
813C23×D61C2412yes—
814C23×D61C2411yescharacteristic
815C23×D61C2414yes—
816C23×D61C2412yes—
817#41×C61—24no—
818#41×C61—24no—
819#41×C61—24no—
820C2×Q8×C61C2411yescharacteristic
821C2×Q8×C61C2411yescharacteristic
822C2×Q8×C61C2411yescharacteristic
823C2×D4×C61C2412yes—
824C2×D4×C61C2411yescharacteristic
825C2×D4×C61C2412yes—
826C2×D4×C61C2411yescharacteristic
827C2×D4×C61C2412yes—
828C2×D4×C61C2411yescharacteristic
829C2×D4×C61C2414yes—
830C2×D4×C61C2414yes—
831C2×D4×C61C2412yes—
832C2×D4×C61C2412yes—
833C22×C4×C61C2412yes—
834C22×C4×C61C2412yes—
835C22×C4×C61C2412yes—
836C22×C4×C61C2411yescharacteristic
837C22×C4×C61C2411yescharacteristic
838C22×C4×C61C2412yes—
839C22×C4×C61C2412yes—
840C22×C4×C61C2412yes—
841C22×C4×C61C2414yes—
842C22×C4×C61C2412yes—
843C22×C4×C61C2414yes—
844C22×C4×C61C2411yescharacteristic
845C2×C22⋊D61C2412yes—
846C2×C22⋊D61C2414yes—
847C2×C22⋊D61C2412yes—
848C2×C22⋊D61C2412yes—
849C2×C22⋊D61C2414yes—
850C2×C22⋊D61C2412yes—
851C2×C22⋊D61C2414yes—
852C2×C22⋊D61C2414yes—
853C2×C22⋊D61C2414yes—
854C2×C22⋊D61C2412yes—
855C2×C22⋊D61C2412yes—
856C2×C22⋊D61C2414yes—
857C2×C22⋊D61C2412yes—
858C22×Dic61C2411yescharacteristic
859C22×Dic61C2412yes—
860C22×Dic61C2411yescharacteristic
861C22×Dic61C2412yes—
862C22×Dic61C2412yes—
863C22×Dic61C2412yes—
864C22×Dic61C2414yes—
865C22×Dic61C2412yes—
866C22×Dic61C2411yescharacteristic
867C22×Dic61C2412yes—
868C22×Dic61C2412yes—
869C22×Dic61C2412yes—
870#11758226—24no—
871#11758226—28no—
872Q8×D61—28no—
873Q8×D61—24no—
874#11758224—28no—
875#11758224—216no—
876#11758224—28no—
877#11758224—24no—
878#11758224—48no—
879#11758224—44no—
880#11758224—44no—
881D4×D61—28no—
882D4×D61—216no—
883D4×D61—24no—
884D4×D61—28no—
885D4×D61—48no—
886#11758222—28no—
887#11758222—28no—
888#11758222—28no—
889#11758222—48no—
890#11758222#4118yescomplemented
891C2×D244—24no—
892C2×D244—28no—
893C2×D244—44no—
894C2×D244C2414yes—
895C2×D244C2414yes—
896C2×D244C2412yes—
897C2×D244C2412yes—
898C2×D244C2412yes—
899C2×D244C2414yes—
900C2×D244C2411yescharacteristic
901C2×C4×D61—24no—
902C2×C4×D61—28no—
903C2×C4×D61—44no—
904C2×C4×D61—48no—
905C2×C4×D61—42no—
906C2×C4×D61—44no—
907C2×C4×D61—44no—
908C2×C4×D61—42no—
909C2×C4×D61C2412yes—
910C2×C4×D61C2411yescharacteristic
911C2×C4×D61C2411yescharacteristic
912C2×C4×D61C2411yescharacteristic
913C2×C4×D61C2414yes—
914C2×C4×D61C2412yes—
915C2×C4×D61C2411yescharacteristic
916C2×C4×D61C2411yescharacteristic
917C2×C4×D61C2411yescharacteristic
918C2×C4×D61C2412yes—
919C2×C4×D61C2411yescharacteristic
920C2×C4×D61C2412yes—
921C2×C4×D61C2411yescharacteristic
922C2×C4×D61C2414yes—
923C2×C4×D61C2414yes—
924C2×C4×D61C2412yes—
925C2×C4×D61C2412yes—
926C2×C4×D61C2412yes—
927C2×C4×D61C2412yes—
928C2×C4×D61C2411yescharacteristic
929C2×C4×D61C2411yescharacteristic
930C2×C4×D61C2411yescharacteristic
931C2×C4×D61C2411yescharacteristic
932C2×C4×D61C2414yes—
933C2×C4×D61C2414yes—
934C2×C4×D61C2414yes—
935C2×C4×D61C2414yes—
936C2×C4×D61C2414yes—
937C2×C4×D61C2412yes—
938C2×Dic122—24no—
939C2×Dic122—28no—
940C2×Dic122C2414yes—
941C2×Dic122C2412yes—
942C2×Dic122C2412yes—
943C2×Dic122C2412yes—
944C2×Dic122C2412yes—
945C2×Dic122C2412yes—
946C2×Dic122C2414yes—
947C2×Dic122C2414yes—
948C2×Dic122C2411yescharacteristic
949C4⋊C4×C61C2411yescharacteristic
950C4⋊C4×C61C2411yescharacteristic
951C4⋊C4×C61C2412yes—
952C4⋊C4×C61C2412yes—
953C4⋊C4×C61C2414yes—
954C4⋊C4×C61C2414yes—
955C4⋊C4×C61C2412yes—
956C4⋊C4×C61C2412yes—
957C4⋊C4×C61C2414yes—
958C4⋊C4×C61C2414yes—
959C4⋊C4×C61C2414yes—
960C4⋊C4×C61C2414yes—
961C4⋊C4×C61C2412yes—
962C4⋊C4×C61C2412yes—
963C4⋊C4×C61C2414yes—
964C4⋊C4×C61C2414yes—
965C4⋊C4×C61C2412yes—
966C4⋊C4×C61C2412yes—
967C22⋊C4×C61C2412yes—
968C22⋊C4×C61C2412yes—
969C22⋊C4×C61C2412yes—
970C22⋊C4×C61C2412yes—
971C22⋊C4×C61C2412yes—
972C22⋊C4×C61C2414yes—
973C22⋊C4×C61C2414yes—
974C22⋊C4×C61C2414yes—
975C22⋊C4×C61C2414yes—
976C22⋊C4×C61C2412yes—
977C22⋊C4×C61C2412yes—
978C22⋊C4×C61C2414yes—
979C22⋊C4×C61C2414yes—
980C42×C61C2411yescharacteristic
981C42×C61C2412yes—
982C42×C61C2412yes—
983C42×C61C2412yes—
984C42×C61C2411yescharacteristic
985C42×C61C2411yescharacteristic
986C42×C61C2411yescharacteristic
987C42×C61C2414yes—
988C42×C61C2414yes—
989C22⋊Dic61C2412yes—
990C22⋊Dic61C2412yes—
991C22⋊Dic61C2412yes—
992C22⋊Dic61C2412yes—
993C22⋊Dic61C2412yes—
994C22⋊Dic61C2412yes—
995C22⋊Dic61C2412yes—
996C22⋊Dic61C2414yes—
997C22⋊Dic61C2414yes—
998C22⋊Dic61C2414yes—
999C22⋊Dic61C2412yes—
1000C22⋊Dic61C2412yes—
1001C22⋊Dic61C2412yes—
1002C22⋊Dic61C2412yes—
1003C22⋊Dic61C2412yes—
1004C22⋊Dic61C2414yes—
1005C22⋊Dic61C2412yes—
1006#11758198C2412yes—
1007#11758198C2414yes—
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#11758198C2414yes—
1022#11758198C2414yes—
1023#11758198C2414yes—
1024#11758198C2414yes—
1025#11758198C2414yes—
1026#11758198C2414yes—
1027#11758198C2414yes—
1028#11758198C2414yes—
1029#11758198C2412yes—
1030#11758198C2414yes—
1031#11758198C2414yes—
1032#11758198C2412yes—
1033#11758198C2412yes—
1034C4⋊Dic61C2411yescharacteristic
1035C4⋊Dic61C2412yes—
1036C4⋊Dic61C2411yescharacteristic
1037C4⋊Dic61C2412yes—
1038C4⋊Dic61C2414yes—
1039C4⋊Dic61C2411yescharacteristic
1040C4⋊Dic61C2411yescharacteristic
1041C4⋊Dic61C2412yes—
1042C4⋊Dic61C2412yes—
1043C4⋊Dic61C2414yes—
1044C4⋊Dic61C2414yes—
1045C4⋊Dic61C2414yes—
1046C4⋊Dic61C2411yescharacteristic
1047C4⋊Dic61C2412yes—
1048C4⋊Dic61C2411yescharacteristic
1049C4⋊Dic61C2412yes—
1050C4⋊Dic61C2412yes—
1051C4⋊Dic61C2412yes—
1052#11758196C2412yes—
1053#11758196C2412yes—
1054#11758196C2412yes—
1055#11758196C2412yes—
1056#11758196C2414yes—
1057#11758196C2412yes—
1058#11758196C2414yes—
1059#11758196C2414yes—
1060#11758196C2414yes—
1061#11758196C2412yes—
1062#11758196C2412yes—
1063#11758196C2412yes—
1064#11758196C2412yes—
1065#11758196C2414yes—
1066#11758196C2414yes—
1067#11758196C2414yes—
1068#11758196C2414yes—
1069#11758196C2414yes—
1070#11758196C2412yes—
1071#11758196C2412yes—
1072#11758196C2412yes—
1073#11758196C2414yes—
1074#11758196C2412yes—
1075#11758196C2414yes—
1076#11758196C2412yes—
1077#11758196C2414yes—
1078#11758196C2414yes—
1079#11758196C2414yes—
1080C4×Dic61C2411yescharacteristic
1081C4×Dic61C2412yes—
1082C4×Dic61C2411yescharacteristic
1083C4×Dic61C2411yescharacteristic
1084C4×Dic61C2411yescharacteristic
1085C4×Dic61C2411yescharacteristic
1086C4×Dic61C2412yes—
1087C4×Dic61C2412yes—
1088C4×Dic61C2411yescharacteristic
1089C4×Dic61C2412yes—
1090C4×Dic61C2412yes—
1091C4×Dic61C2412yes—
1092C4×Dic61C2411yescharacteristic
1093C4×Dic61C2412yes—
1094C4×Dic61C2411yescharacteristic
1095C4×Dic61C2412yes—
1096C4×Dic61C2411yescharacteristic
1097C4×Dic61C2411yescharacteristic
1098C4×Dic61C2411yescharacteristic
1099C4×Dic61C2412yes—
1100C4×Dic61C2412yes—
1101C4×Dic61C2411yescharacteristic
1102C4×Dic61C2412yes—
1103C4×Dic61C2414yes—
1104C4×Dic61C2414yes—
1105C4×Dic61C2414yes—
1106C4×Dic61C2412yes—
1107C4×Dic61C2412yes—
1108C4×Dic61C2414yes—
1109C4×Dic61C2414yes—
1110C4×Dic61C2414yes—
1111C4×Dic61C2412yes—
1112C4×Dic61C2412yes—
1113C23×C61C2512yes—
1114C23×C61C2512yes—
1115C23×C61C2512yes—
1116C23×C61C2511yescharacteristic
1117C22×D61—22no—
1118C22×D61—24no—
1119C22×D61—24no—
1120C22×D61—22no—
1121C22×D61—24no—
1122C22×D61—28no—
1123C22×D61—42no—
1124C22×D61—41no—
1125C22×D61—44no—
1126C22×D61—42no—
1127C22×D61—42no—
1128C22×D61—44no—
1129C22×D61C2514yes—
1130C22×D61C2511yescharacteristic
1131C22×D61C2512yes—
1132C22×D61C2511yescharacteristic
1133Q8×C61—22no—
1134Q8×C61—22no—
1135Q8×C61—22no—
1136D4×C61—24no—
1137D4×C61—24no—
1138D4×C61—24no—
1139D4×C61—22no—
1140D4×C61—22no—
1141D4×C61—22no—
1142D4×C61—44no—
1143D4×C61—42no—
1144D4×C61—42no—
1145D4×C61—44no—
1146C2×C4×C61—24no—
1147C2×C4×C61—24no—
1148C2×C4×C61—24no—
1149C2×C4×C61—41no—
1150C2×C4×C61—41no—
1151C2×C4×C61—42no—
1152C2×C4×C61—44no—
1153C2×C4×C61—42no—
1154C2×C4×C61—42no—
1155C2×C4×C61—42no—
1156C2×C4×C61—44no—
1157C2×C4×C61C2×#4114yes—
1158C2×C4×C61C2511yescharacteristic
1159C2×C4×C61C2512yes—
1160C2×C4×C61C2511yescharacteristic
1161C2×C4×C61C2512yes—
1162C2×C4×C61C2514yes—
1163C2×C4×C61C2512yes—
1164C2×C4×C61C2512yes—
1165C2×C4×C61C2512yes—
1166C2×C4×C61C2511yescharacteristic
1167C2×C4×C61C2511yescharacteristic
1168C2×C4×C61C2514yes—
1169C2×C4×C61C2511yescharacteristic
1170C2×C4×C61C2511yescharacteristic
1171C22⋊D61—24no—
1172C22⋊D61—28no—
1173C22⋊D61—24no—
1174C22⋊D61—24no—
1175C22⋊D61—28no—
1176C22⋊D61—24no—
1177C22⋊D61—44no—
1178C22⋊D61—44no—
1179C22⋊D61—44no—
1180C22⋊D61—42no—
1181C22⋊D61—44no—
1182C22⋊D61—42no—
1183C22⋊D61C2×#4118yes—
1184C2×Dic61—24no—
1185C2×Dic61—22no—
1186C2×Dic61—28no—
1187C2×Dic61—24no—
1188C2×Dic61—22no—
1189C2×Dic61—24no—
1190C2×Dic61—24no—
1191C2×Dic61—24no—
1192C2×Dic61—42no—
1193C2×Dic61—41no—
1194C2×Dic61—42no—
1195C2×Dic61—42no—
1196C2×Dic61C2511yescharacteristic
1197C2×Dic61C2511yescharacteristic
1198C2×Dic61C2511yescharacteristic
1199C2×Dic61C2511yescharacteristic
1200C2×Dic61C2512yes—
1201C2×Dic61C2512yes—
1202C2×Dic61C2511yescharacteristic
1203C2×Dic61C2512yes—
1204C2×Dic61C2512yes—
1205C2×Dic61C2514yes—
1206C2×Dic61C2512yes—
1207C2×Dic61C2512yes—
1208C2×Dic61C2512yes—
1209C2×Dic61C2511yescharacteristic
1210D244—28no—
1211D244—24no—
1212D244—28no—
1213D244—24no—
1214D244—24no—
1215D244—44no—
1216D244C2×#4114yes—
1217C4×D61—24no—
1218C4×D61—28no—
1219C4×D61—22no—
1220C4×D61—24no—
1221C4×D61—22no—
1222C4×D61—22no—
1223C4×D61—22no—
1224C4×D61—22no—
1225C4×D61—22no—
1226C4×D61—24no—
1227C4×D61—28no—
1228C4×D61—22no—
1229C4×D61—24no—
1230C4×D61—28no—
1231C4×D61—22no—
1232C4×D61—42no—
1233C4×D61—42no—
1234C4×D61—42no—
1235C4×D61—44no—
1236C4×D61—44no—
1237C4×D61—41no—
1238C4×D61—42no—
1239C4×D61—41no—
1240C4×D61—41no—
1241C4×D61—44no—
1242C4×D61—41no—
1243C4×D61—44no—
1244C4×D61—44no—
1245C4×D61C2×#4118yes—
1246Dic122—24no—
1247Dic122—24no—
1248Dic122—28no—
1249Dic122—24no—
1250Dic122—44no—
1251Dic122—42no—
1252Dic122—44no—
1253Dic122—42no—
1254Dic122C2×#4114yes—
1255#62810—611nomaximal, Sylow
1256C22×C61—21no—
1257C22×C61—21no—
1258C22×C61—22no—
1259C22×C61—22no—
1260C22×C61—22no—
1261C22×C61—22no—
1262C22×C61—22no—
1263C22×C61—22no—
1264C22×C61—22no—
1265C22×C61—22no—
1266C22×C61—22no—
1267C22×C61C22×#4112yes—
1268C22×C61C2611yescharacteristic
1269C2×D61—21no—
1270C2×D61—21no—
1271C2×D61—22no—
1272C2×D61—22no—
1273C2×D61—21no—
1274C2×D61—24no—
1275C2×D61—24no—
1276C2×D61—21no—
1277C2×D61—21no—
1278C2×D61—24no—
1279C2×D61—48no—
1280C2×D61—44no—
1281C2×D61—88no—
1282C2×D61—84no—
1283C2×D61C22×#4114yes—
1284C2×D61#58512yes—
1285C4×C61—22no—
1286C4×C61—22no—
1287C4×C61—22no—
1288C4×C61—21no—
1289C4×C61—21no—
1290C4×C61—24no—
1291C4×C61—24no—
1292C4×C61—21no—
1293C4×C61—22no—
1294C4×C61—21no—
1295C4×C61—22no—
1296C4×C61C22×#4112yes—
1297C4×C61C22×#4112yes—
1298Dic61—24no—
1299Dic61—21no—
1300Dic61—21no—
1301Dic61—22no—
1302Dic61—22no—
1303Dic61—22no—
1304Dic61—22no—
1305Dic61—22no—
1306Dic61—22no—
1307Dic61—21no—
1308Dic61—21no—
1309Dic61—21no—
1310Dic61C22×#4114yes—
1311Dic61#58512yes—
1312#3524—612no—
1313#3521—614no—
1314#3521—612no—
1315#3516—612no—
1316#3513—614no—
1317#3513—612no—
1318#3512—612no—
1319#3512D6111yescharacteristic, complemented
1320#3510—612no—
1321#3510—611no—
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—614no—
1332#3481—612no—
1333#3480—612no—
1334#3475—614no—
1335#3475—612no—
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—42no—
1350C2×C61—42no—
1351C2×C61C23×#4111yescharacteristic
1352C2×C61C2×#58511yescharacteristic
1353C2×C61C2×#58511yescharacteristic
1354D61—22no—
1355D61—24no—
1356D61—41no—
1357D61—44no—
1358C2×2−1+4—611no—
1359C2×H(5,𝔽2)—611no—
1360C22×#41—611no—
1361#559—614no—
1362#559—612no—
1363#559—614no—
1364#559—612no—
1365#557—612no—
1366#557—612no—
1367#556—614no—
1368#556—614no—
1369#556—612no—
1370#556—612no—
1371#556—614no—
1372#556—612no—
1373#555—614no—
1374#555—612no—
1375#554—612no—
1376#554—614no—
1377#554—612no—
1378#554—614no—
1379#554—612no—
1380#554—614no—
1381#553—614no—
1382#553—614no—
1383#553—614no—
1384#553—614no—
1385#553—614no—
1386#553—614no—
1387#553—614no—
1388#553—612no—
1389#553—614no—
1390#553—612no—
1391#553C2×D6114yescomplemented
1392#553C2×D6112yescomplemented
1393#553C2×D6114yescomplemented
1394#553C2×D6112yescomplemented
1395#552—614no—
1396#552—614no—
1397#552—614no—
1398#552—614no—
1399#552—614no—
1400#552—614no—
1401#552—612no—
1402#552—614no—
1403#552—612no—
1404#552C2×D6112yescomplemented
1405#552C2×D6112yescomplemented
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#551—614no—
1418#550—612no—
1419D4×Q8—612no—
1420#548—612no—
1421#548—612no—
1422#548—612no—
1423#548—612no—
1424#547—614no—
1425#547—612no—
1426#547—614no—
1427#547—612no—
1428#546—612no—
1429#546—614no—
1430#546—614no—
1431#546—614no—
1432#546—612no—
1433#546—614no—
1434#546—614no—
1435#546—614no—
1436#546—612no—
1437#546—614no—
1438#546—612no—
1439D42—614no—
1440D42—612no—
1441#544—612no—
1442#544—612no—
1443#544—611no—
1444#544—611no—
1445#542—614no—
1446#542—614no—
1447#542—612no—
1448#542—612no—
1449#542—612no—
1450#542—612no—
1451#542—612no—
1452#542—612no—
1453#542—612no—
1454#542—612no—
1455#541—614no—
1456#541—612no—
1457#541—612no—
1458#541—612no—
1459#541C2×D6112yescomplemented
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—612no—
1472#537—612no—
1473#537C2×D6111yescharacteristic
1474#537C2×D6111yescharacteristic, complemented
1475#536—611no—
1476#536—611no—
1477#536—612no—
1478#536—612no—
1479#535—611no—
1480#535—611no—
1481#535—612no—
1482#535—612no—
1483#533—611no—
1484#533—611no—
1485#533—612no—
1486#533—614no—
1487#533—612no—
1488#533—612no—
1489#533—612no—
1490#533—611no—
1491#532—611no—
1492#532—611no—
1493#532—612no—
1494#532—612no—
1495#532—612no—
1496#532—614no—
1497#532—612no—
1498#532C2×D6111yescharacteristic, complemented
1499#529—614no—
1500#529—614no—
1501#529—614no—
1502#529—614no—
1503#529—614no—
1504#529—612no—
1505#529—612no—
1506#529—612no—
1507#529—612no—
1508#529—612no—
1509#529—612no—
1510#529—612no—
1511#529—612no—
1512#529—614no—
1513#529—611no—
1514#529—611no—
1515#529—611no—
1516#529—611no—
1517#529—614no—
1518#529—614no—
1519#529—614no—
1520#529—612no—
1521#529—612no—
1522#529—612no—
1523#529—612no—
1524#529—612no—
1525#529—614no—
1526#529—612no—
1527#529—612no—
1528#529—614no—
1529#529—612no—
1530#529—612no—
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×#125C2×D6111yescharacteristic, complemented
1542C2×#124—612no—
1543C2×#124—611no—
1544#525—611no—
1545#525—611no—
1546#525—614no—
1547#525—614no—
1548#525—612no—
1549#525—612no—
1550#525—612no—
1551#525—612no—
1552#525—614no—
1553#525—614no—
1554#525—614no—
1555C2×#123—614no—
1556C2×#123—612no—
1557C2×C22⋊Q8—612no—
1558C2×C22⋊Q8—611no—
1559C2×#121—612no—
1560C2×#121—611no—
1561#520—612no—
1562#520—612no—
1563#520—614no—
1564#520—611no—
1565#520—611no—
1566#520—612no—
1567#520—612no—
1568#520C2×D6111yescharacteristic, complemented
1569#520C2×D6111yescharacteristic, complemented
1570#519—612no—
1571#519—611no—
1572#519—612no—
1573#518—612no—
1574#518—614no—
1575#518—611no—
1576#518—612no—
1577C4×#41—611no—
1578C4×#41—611no—
1579C4×#41—611no—
1580C4×#41—611no—
1581C4×#41—611no—
1582C4×#41—612no—
1583C4×#41—612no—
1584C4×#41—611no—
1585C4×#41—612no—
1586C4×#41—611no—
1587C4×#41—612no—
1588C4×#41—614no—
1589C4×#41—612no—
1590C4×#41—614no—
1591C4×#41—612no—
1592C4×#41—611no—
1593C4×#41—612no—
1594C4×#41—612no—
1595C4×#41—612no—
1596C4×#41—614no—
1597C4×#41—611no—
1598C4×#41—612no—
1599C4×#41C2×D6111yescharacteristic, complemented
1600C2×C4×Q8—611no—
1601C2×C4×Q8—611no—
1602C2×C4×Q8—612no—
1603C2×C4×Q8—611no—
1604C2×C4×Q8—612no—
1605C2×C4×D4—612no—
1606C2×C4×D4—611no—
1607C2×C4×D4—612no—
1608C2×C4×D4—611no—
1609C2×C4×D4—612no—
1610C2×C4×D4—614no—
1611C2×C4×D4—614no—
1612C2×C4×D4—611no—
1613C2×C4×D4—612no—
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—611no—
1628C2×#41—612no—
1629C2×#41—614no—
1630C2×#41—614no—
1631C2×#41—612no—
1632C2×#41—612no—
1633C2×#41—611no—
1634C2×#41—612no—
1635C2×#41—612no—
1636C2×#41—612no—
1637C2×#41—614no—
1638C2×#41—1228no—
1639C2×#41C22×D6111yescharacteristic
1640C2×#41C22×D6111yescharacteristic
1641C2×#41C22×D6111yescharacteristic
1642C22×Q8—611no—
1643C22×Q8—612no—
1644C22×Q8—611no—
1645C22×Q8—612no—
1646C22×D4—612no—
1647C22×D4—611no—
1648C22×D4—612no—
1649C22×D4—614no—
1650C22×D4—614no—
1651C22×D4—611no—
1652C22×D4—612no—
1653C22×D4—612no—
1654C23×C4—612no—
1655C23×C4—611no—
1656C23×C4—612no—
1657C23×C4—614no—
1658C23×C4—611no—
1659C23×C4—612no—
1660C23×C4—611no—
1661C23×C4—612no—
1662C4⋊Q8—612no—
1663C4⋊Q8—612no—
1664C4⋊Q8—612no—
1665C4⋊Q8—612no—
1666C4⋊Q8—614no—
1667C4⋊Q8—612no—
1668C4⋊Q8—614no—
1669C4⋊Q8—614no—
1670C4⋊Q8—612no—
1671C4⋊Q8—611no—
1672C4⋊Q8—611no—
1673C4⋊Q8C22×D6111yescharacteristic
1674#127—612no—
1675#127—614no—
1676#127—612no—
1677#127C22×D6111yescharacteristic
1678#126—614no—
1679#126—614no—
1680#126—614no—
1681#126—614no—
1682#126—614no—
1683#126—614no—
1684#126—614no—
1685#126—614no—
1686#126—614no—
1687#126—614no—
1688#126—612no—
1689#126—614no—
1690#126—614no—
1691#126—612no—
1692#126—612no—
1693#126—612no—
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—612no—
1716#125—614no—
1717#125—614no—
1718#125—614no—
1719#125—612no—
1720#125—614no—
1721#125—611no—
1722#125—611no—
1723#125—614no—
1724#125C22×D6112yes—
1725#125C22×D6112yes—
1726#125C22×D6112yes—
1727#125C22×D6112yes—
1728#125C22×D6114yes—
1729#125C22×D6114yes—
1730#124—612no—
1731#124—612no—
1732#124—612no—
1733#124—612no—
1734#124—612no—
1735#124—612no—
1736#124—614no—
1737#124—614no—
1738#124—614no—
1739#124—614no—
1740#124—614no—
1741#124—614no—
1742#124—614no—
1743#124—614no—
1744#124—614no—
1745#124—614no—
1746#124—614no—
1747#124—612no—
1748#124—612no—
1749#124—612no—
1750#124—612no—
1751#124—614no—
1752#124C22×D6111yescharacteristic
1753#124C22×D6111yescharacteristic
1754#123—614no—
1755#123—612no—
1756#123—612no—
1757#123—614no—
1758#123—614no—
1759#123—614no—
1760#123—614no—
1761#123—614no—
1762#123—614no—
1763#123—614no—
1764#123—614no—
1765#123—614no—
1766#123—614no—
1767#123—614no—
1768#123—614no—
1769#123—614no—
1770#123—614no—
1771#123—614no—
1772#123—614no—
1773#123—614no—
1774#123—612no—
1775#123—614no—
1776#123—614no—
1777#123—612no—
1778#123—614no—
1779#123—612no—
1780#123—612no—
1781#123—614no—
1782#123—614no—
1783#123—614no—
1784#123—614no—
1785#123—614no—
1786#123—614no—
1787#123—614no—
1788#123C22×D6114yes—
1789#123C22×D6114yes—
1790#123C22×D6114yes—
1791#123C22×D6114yes—
1792C22⋊Q8—611no—
1793C22⋊Q8—611no—
1794C22⋊Q8—611no—
1795C22⋊Q8—611no—
1796C22⋊Q8—612no—
1797C22⋊Q8—612no—
1798C22⋊Q8—612no—
1799C22⋊Q8—612no—
1800C22⋊Q8—614no—
1801C22⋊Q8—614no—
1802C22⋊Q8—612no—
1803C22⋊Q8—614no—
1804C22⋊Q8—612no—
1805C22⋊Q8—612no—
1806C22⋊Q8—612no—
1807C22⋊Q8—614no—
1808C22⋊Q8—612no—
1809C22⋊Q8—612no—
1810C22⋊Q8—612no—
1811C22⋊Q8—614no—
1812C22⋊Q8—614no—
1813C22⋊Q8—614no—
1814C22⋊Q8—612no—
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⋊Q8—614no—
1829C22⋊Q8—614no—
1830C22⋊Q8C22×D6112yes—
1831C22⋊Q8C22×D6112yes—
1832C22⋊Q8C22×D6112yes—
1833C22⋊Q8C22×D6112yes—
1834#121—611no—
1835#121—614no—
1836#121—611no—
1837#121—611no—
1838#121—611no—
1839#121—612no—
1840#121—614no—
1841#121—612no—
1842#121—614no—
1843#121—614no—
1844#121—614no—
1845#121—614no—
1846#121—614no—
1847#121—614no—
1848#121—612no—
1849#121—612no—
1850#121—612no—
1851#121—612no—
1852#121—614no—
1853#121—612no—
1854#121—612no—
1855#121—612no—
1856#121—612no—
1857#121—614no—
1858#121—614no—
1859#121—614no—
1860#121—614no—
1861#121—614no—
1862#121—614no—
1863#121—614no—
1864#121—614no—
1865#121—614no—
1866#121C22×D6112yes—
1867#121C22×D6112yes—
1868#121C22×D6112yes—
1869#121C22×D6112yes—
1870#121C22×D6114yes—
1871#121C22×D6114yes—
1872#121C22×D6114yes—
1873#121C22×D6112yes—
1874#121C22×D6112yes—
1875#121C22×D6114yes—
1876#120—612no—
1877#120—612no—
1878#120—614no—
1879#120—614no—
1880#120—614no—
1881#120—614no—
1882#120—614no—
1883#120—614no—
1884#120—614no—
1885#120—614no—
1886C4×Q8—611no—
1887C4×Q8—611no—
1888C4×Q8—611no—
1889C4×Q8—611no—
1890C4×Q8—611no—
1891C4×Q8—611no—
1892C4×Q8—611no—
1893C4×Q8—614no—
1894C4×Q8—612no—
1895C4×Q8—612no—
1896C4×Q8—611no—
1897C4×Q8—612no—
1898C4×Q8—612no—
1899C4×Q8—612no—
1900C4×Q8—612no—
1901C4×Q8—612no—
1902C4×Q8—614no—
1903C4×Q8—612no—
1904C4×Q8—612no—
1905C4×Q8—612no—
1906C4×Q8—612no—
1907C4×Q8—614no—
1908C4×Q8—612no—
1909C4×Q8—614no—
1910C4×Q8—614no—
1911C4×Q8—611no—
1912C4×Q8—611no—
1913C4×Q8—612no—
1914C4×Q8—612no—
1915C4×Q8—614no—
1916C4×Q8—612no—
1917C4×Q8—612no—
1918C4×Q8—614no—
1919C4×Q8—614no—
1920C4×Q8—612no—
1921C4×Q8—612no—
1922C4×Q8C22×D6111yescharacteristic
1923C4×Q8C22×D6111yescharacteristic
1924C4×Q8C22×D6112yes—
1925C4×Q8C22×D6112yes—
1926C4×D4—612no—
1927C4×D4—611no—
1928C4×D4—612no—
1929C4×D4—611no—
1930C4×D4—612no—
1931C4×D4—611no—
1932C4×D4—614no—
1933C4×D4—612no—
1934C4×D4—611no—
1935C4×D4—612no—
1936C4×D4—611no—
1937C4×D4—612no—
1938C4×D4—611no—
1939C4×D4—612no—
1940C4×D4—614no—
1941C4×D4—612no—
1942C4×D4—612no—
1943C4×D4—612no—
1944C4×D4—612no—
1945C4×D4—612no—
1946C4×D4—612no—
1947C4×D4—612no—
1948C4×D4—614no—
1949C4×D4—614no—
1950C4×D4—614no—
1951C4×D4—614no—
1952C4×D4—614no—
1953C4×D4—614no—
1954C4×D4—614no—
1955C4×D4—614no—
1956C4×D4—612no—
1957C4×D4—612no—
1958C4×D4—612no—
1959C4×D4—612no—
1960C4×D4—614no—
1961C4×D4—614no—
1962C4×D4—611no—
1963C4×D4—614no—
1964C4×D4—614no—
1965C4×D4—612no—
1966C4×D4—612no—
1967C4×D4—611no—
1968C4×D4—612no—
1969C4×D4—612no—
1970C4×D4—612no—
1971C4×D4—612no—
1972C4×D4—612no—
1973C4×D4—614no—
1974C4×D4—612no—
1975C4×D4—614no—
1976C4×D4—614no—
1977C4×D4—614no—
1978C4×D4—612no—
1979C4×D4—612no—
1980C4×D4—614no—
1981C4×D4—612no—
1982C4×D4—612no—
1983C4×D4—614no—
1984C4×D4—612no—
1985C4×D4—612no—
1986C4×D4—612no—
1987C4×D4—612no—
1988C4×D4—612no—
1989C4×D4—614no—
1990C4×D4—614no—
1991C4×D4—612no—
1992C4×D4—614no—
1993C4×D4—614no—
1994C4×D4—614no—
1995C4×D4—614no—
1996C4×D4—614no—
1997C4×D4—612no—
1998C4×D4—612no—
1999C4×D4—614no—
2000C4×D4—614no—
2001C4×D4—611no—
2002C4×D4—611no—
2003C4×D4—612no—
2004C4×D4—612no—
2005C4×D4—612no—
2006C4×D4—614no—
2007C4×D4—614no—
2008C4×D4—614no—
2009C4×D4—612no—
2010C4×D4C22×D6112yes—
2011C4×D4C22×D6112yes—
2012C4×D4C22×D6111yescharacteristic
2013C4×D4C22×D6111yescharacteristic
2014C4×D4C22×D6112yes—
2015C4×D4C22×D6114yes—
2016C4×D4C22×D6114yes—
2017C4×D4C22×D6112yes—
2018C4×D4C22×D6114yes—
2019C4×D4C22×D6114yes—
2020C4×D4C22×D6112yes—
2021C4×D4C22×D6112yes—
2022#117—611no—
2023#117—612no—
2024#117—614no—
2025#117—611no—
2026#117—612no—
2027#117—611no—
2028#117—612no—
2029#117—614no—
2030#117—612no—
2031#117—612no—
2032#117—611no—
2033#117—611no—
2034#117—614no—
2035#117—614no—
2036#117—614no—
2037#117—614no—
2038#117—612no—
2039#117—614no—
2040#117—612no—
2041#117—614no—
2042#117—612no—
2043#117—612no—
2044#117—612no—
2045#117—612no—
2046#117—612no—
2047#117—612no—
2048#117—614no—
2049#117—612no—
2050#117—614no—
2051#117—614no—
2052#117—614no—
2053#117—614no—
2054#117—612no—
2055#117—612no—
2056#117—612no—
2057#117—612no—
2058#117—612no—
2059#117—614no—
2060#117—614no—
2061#117—614no—
2062#117—614no—
2063#117—614no—
2064#117—614no—
2065#117C22×D6111yescharacteristic
2066#117C22×D6112yes—
2067#117C22×D6114yes—
2068#117C22×D6112yes—
2069#117C22×D6112yes—
2070#117C22×D6114yes—
2071C2×C4⋊C4—612no—
2072C2×C4⋊C4—612no—
2073C2×C4⋊C4—614no—
2074C2×C4⋊C4—612no—
2075C2×C4⋊C4—611no—
2076C2×C4⋊C4—612no—
2077C2×C4⋊C4—611no—
2078C2×C4⋊C4—614no—
2079C2×C4⋊C4—614no—
2080C2×C4⋊C4—612no—
2081C2×C4⋊C4—614no—
2082C2×C4⋊C4—614no—
2083C2×C4⋊C4—612no—
2084C2×C4⋊C4—614no—
2085C2×C4⋊C4C22×D6112yes—
2086C2×C4⋊C4C22×D6111yescharacteristic
2087C2×C4⋊C4C22×D6112yes—
2088C2×C4⋊C4C22×D6112yes—
2089C2×C4⋊C4C22×D6111yescharacteristic
2090C2×C4⋊C4C22×D6112yes—
2091C2×C22⋊C4—612no—
2092C2×C22⋊C4—612no—
2093C2×C22⋊C4—612no—
2094C2×C22⋊C4—614no—
2095C2×C22⋊C4—612no—
2096C2×C22⋊C4—612no—
2097C2×C22⋊C4—612no—
2098C2×C22⋊C4—612no—
2099C2×C22⋊C4—612no—
2100C2×C22⋊C4—614no—
2101C2×C22⋊C4—614no—
2102C2×C22⋊C4—614no—
2103C2×C22⋊C4—614no—
2104C2×C22⋊C4—614no—
2105C2×C22⋊C4—614no—
2106C2×C22⋊C4—614no—
2107C2×C42—611no—
2108C2×C42—612no—
2109C2×C42—611no—
2110C2×C42—612no—
2111C2×C42—614no—
2112C2×C42—612no—
2113C2×C42—612no—
2114C2×C42—611no—
2115C2×C42—612no—
2116C2×C42—612no—
2117C2×C42—612no—
2118C2×C42—611no—
2119C2×C42—612no—
2120C2×C42—614no—
2121C2×C42—612no—
2122C2×C42—611no—
2123C2×C42—612no—
2124C2×C42—611no—
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—
2139C24—612no—
2140#41—24no—
2141#41—24no—
2142#41—24no—
2143#41—618no—
2144#41—1228no—
2145#41—1228no—
2146#41—1228no—
2147#41—1228no—
2148#41—1228no—
2149#41—1228no—
2150#41—12216no—
2151#41—1224no—
2152#41—1224no—
2153#41—2448no—
2154#41—2448no—
2155#41—2444no—
2156#41—2444no—
2157C2×Q8—611no—
2158C2×Q8—614no—
2159C2×Q8—612no—
2160C2×Q8—612no—
2161C2×Q8—612no—
2162C2×Q8—614no—
2163C2×Q8—612no—
2164C2×Q8—614no—
2165C2×Q8—612no—
2166C2×Q8—1228no—
2167C2×Q8—1228no—
2168C2×Q8—1224no—
2169C2×Q8—1224no—
2170C2×Q8C23×D6111yescharacteristic
2171C2×Q8C23×D6111yescharacteristic
2172C2×Q8C23×D6111yescharacteristic
2173C2×D4—612no—
2174C2×D4—614no—
2175C2×D4—612no—
2176C2×D4—612no—
2177C2×D4—612no—
2178C2×D4—614no—
2179C2×D4—612no—
2180C2×D4—614no—
2181C2×D4—612no—
2182C2×D4—614no—
2183C2×D4—614no—
2184C2×D4—612no—
2185C2×D4—614no—
2186C2×D4—611no—
2187C2×D4—612no—
2188C2×D4—614no—
2189C2×D4—614no—
2190C2×D4—612no—
2191C2×D4—612no—
2192C2×D4—614no—
2193C2×D4—1228no—
2194C2×D4—1228no—
2195C2×D4—1228no—
2196C2×D4—1224no—
2197C2×D4—12216no—
2198C2×D4—1224no—
2199C2×D4—2444no—
2200C2×D4—2448no—
2201C2×D4C23×D6112yes—
2202C2×D4C23×D6112yes—
2203C2×D4C23×D6112yes—
2204C2×D4C23×D6111yescharacteristic
2205C2×D4C23×D6111yescharacteristic
2206C2×D4C23×D6111yescharacteristic
2207C2×D4C23×D6112yes—
2208C2×D4C23×D6112yes—
2209C2×D4C23×D6114yes—
2210C2×D4C23×D6114yes—
2211C22×C4—612no—
2212C22×C4—611no—
2213C22×C4—612no—
2214C22×C4—611no—
2215C22×C4—612no—
2216C22×C4—612no—
2217C22×C4—612no—
2218C22×C4—614no—
2219C22×C4—612no—
2220C22×C4—611no—
2221C22×C4—612no—
2222C22×C4—612no—
2223C22×C4—612no—
2224C22×C4—612no—
2225C22×C4—611no—
2226C22×C4—611no—
2227C22×C4—611no—
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—614no—
2239C22×C4—612no—
2240C22×C4—611no—
2241C22×C4—612no—
2242C22×C4—612no—
2243C22×C4—612no—
2244C22×C4—611no—
2245C22×C4—611no—
2246C22×C4—611no—
2247C22×C4—614no—
2248C22×C4—614no—
2249C22×C4—614no—
2250C22×C4—614no—
2251C22×C4—614no—
2252C22×C4—1228no—
2253C22×C4—1224no—
2254C22×C4—2444no—
2255C22×C4—2448no—
2256C22×C4—2442no—
2257C22×C4—2444no—
2258C22×C4—2444no—
2259C22×C4—2442no—
2260C22×C4C23×D6112yes—
2261C22×C4C23×D6112yes—
2262C22×C4C23×D6112yes—
2263C22×C4C23×D6111yescharacteristic
2264C22×C4C23×D6111yescharacteristic
2265C22×C4C23×D6112yes—
2266C22×C4C23×D6112yes—
2267C22×C4C23×D6112yes—
2268C22×C4C23×D6114yes—
2269C22×C4C23×D6112yes—
2270C22×C4C23×D6114yes—
2271C22×C4C23×D6111yescharacteristic
2272C4⋊C4—612no—
2273C4⋊C4—612no—
2274C4⋊C4—612no—
2275C4⋊C4—612no—
2276C4⋊C4—614no—
2277C4⋊C4—612no—
2278C4⋊C4—614no—
2279C4⋊C4—614no—
2280C4⋊C4—614no—
2281C4⋊C4—614no—
2282C4⋊C4—614no—
2283C4⋊C4—611no—
2284C4⋊C4—612no—
2285C4⋊C4—611no—
2286C4⋊C4—612no—
2287C4⋊C4—612no—
2288C4⋊C4—612no—
2289C4⋊C4—612no—
2290C4⋊C4—612no—
2291C4⋊C4—614no—
2292C4⋊C4—614no—
2293C4⋊C4—614no—
2294C4⋊C4—611no—
2295C4⋊C4—611no—
2296C4⋊C4—612no—
2297C4⋊C4—612no—
2298C4⋊C4—614no—
2299C4⋊C4—614no—
2300C4⋊C4—614no—
2301C4⋊C4—614no—
2302C4⋊C4—612no—
2303C4⋊C4—612no—
2304C4⋊C4—612no—
2305C4⋊C4—612no—
2306C4⋊C4—614no—
2307C4⋊C4—614no—
2308C4⋊C4—614no—
2309C4⋊C4—614no—
2310C4⋊C4—614no—
2311C4⋊C4—612no—
2312C4⋊C4—611no—
2313C4⋊C4—612no—
2314C4⋊C4—611no—
2315C4⋊C4—612no—
2316C4⋊C4—612no—
2317C4⋊C4—612no—
2318C4⋊C4C23×D6111yescharacteristic
2319C4⋊C4C23×D6111yescharacteristic
2320C4⋊C4C23×D6114yes—
2321C4⋊C4C23×D6112yes—
2322C4⋊C4C23×D6114yes—
2323C4⋊C4C23×D6112yes—
2324C4⋊C4C23×D6114yes—
2325C4⋊C4C23×D6114yes—
2326C4⋊C4C23×D6112yes—
2327C4⋊C4C23×D6112yes—
2328C4⋊C4C23×D6114yes—
2329C4⋊C4C23×D6112yes—
2330C4⋊C4C23×D6112yes—
2331C4⋊C4C23×D6114yes—
2332C4⋊C4C23×D6114yes—
2333C4⋊C4C23×D6112yes—
2334C4⋊C4C23×D6112yes—
2335C4⋊C4C23×D6114yes—
2336C22⋊C4—612no—
2337C22⋊C4—612no—
2338C22⋊C4—612no—
2339C22⋊C4—612no—
2340C22⋊C4—612no—
2341C22⋊C4—612no—
2342C22⋊C4—612no—
2343C22⋊C4—614no—
2344C22⋊C4—614no—
2345C22⋊C4—614no—
2346C22⋊C4—612no—
2347C22⋊C4—612no—
2348C22⋊C4—612no—
2349C22⋊C4—612no—
2350C22⋊C4—612no—
2351C22⋊C4—614no—
2352C22⋊C4—612no—
2353C22⋊C4—612no—
2354C22⋊C4—612no—
2355C22⋊C4—614no—
2356C22⋊C4—614no—
2357C22⋊C4—614no—
2358C22⋊C4—614no—
2359C22⋊C4—612no—
2360C22⋊C4—614no—
2361C22⋊C4—614no—
2362C22⋊C4—614no—
2363C22⋊C4—614no—
2364C22⋊C4—614no—
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—614no—
2376C22⋊C4—614no—
2377C22⋊C4—612no—
2378C22⋊C4—614no—
2379C22⋊C4—612no—
2380C22⋊C4—612no—
2381C22⋊C4C23×D6112yes—
2382C22⋊C4C23×D6112yes—
2383C22⋊C4C23×D6112yes—
2384C22⋊C4C23×D6114yes—
2385C22⋊C4C23×D6112yes—
2386C22⋊C4C23×D6112yes—
2387C22⋊C4C23×D6114yes—
2388C22⋊C4C23×D6114yes—
2389C22⋊C4C23×D6114yes—
2390C22⋊C4C23×D6112yes—
2391C22⋊C4C23×D6112yes—
2392C22⋊C4C23×D6114yes—
2393C22⋊C4C23×D6114yes—
2394C42—611no—
2395C42—612no—
2396C42—611no—
2397C42—611no—
2398C42—611no—
2399C42—611no—
2400C42—612no—
2401C42—614no—
2402C42—612no—
2403C42—611no—
2404C42—612no—
2405C42—612no—
2406C42—612no—
2407C42—611no—
2408C42—611no—
2409C42—611no—
2410C42—611no—
2411C42—612no—
2412C42—611no—
2413C42—612no—
2414C42—612no—
2415C42—612no—
2416C42—611no—
2417C42—612no—
2418C42—612no—
2419C42—614no—
2420C42—614no—
2421C42—612no—
2422C42—614no—
2423C42—614no—
2424C42—612no—
2425C42—614no—
2426C42—612no—
2427C42C23×D6111yescharacteristic
2428C42C23×D6112yes—
2429C42C23×D6112yes—
2430C42C23×D6112yes—
2431C42C23×D6111yescharacteristic
2432C42C23×D6111yescharacteristic
2433C42C23×D6111yescharacteristic
2434C42C23×D6114yes—
2435C42C23×D6114yes—
2436C23—612no—
2437C23—611no—
2438C23—614no—
2439C23—611no—
2440C23—1228no—
2441C23—1224no—
2442C23—1222no—
2443C23—1224no—
2444C23—1224no—
2445C23—1222no—
2446C23—2442no—
2447C23—2444no—
2448C23—2442no—
2449C23—2444no—
2450C23—2441no—
2451C23—2442no—
2452C23C24×D6112yes—
2453C23C24×D6112yes—
2454C23C24×D6112yes—
2455C23C24×D6111yescharacteristic
2456Q8—22no—
2457Q8—22no—
2458Q8—22no—
2459Q8—614no—
2460Q8—1228no—
2461Q8—1224no—
2462Q8—1224no—
2463Q8—1224no—
2464Q8—2444no—
2465Q8—2444no—
2466Q8—2442no—
2467Q8—2442no—
2468D4—24no—
2469D4—24no—
2470D4—24no—
2471D4—22no—
2472D4—22no—
2473D4—22no—
2474D4—44no—
2475D4—44no—
2476D4—42no—
2477D4—42no—
2478D4—618no—
2479D4—614no—
2480D4—1228no—
2481D4—1224no—
2482D4—1228no—
2483D4—1228no—
2484D4—1224no—
2485D4—1224no—
2486D4—1224no—
2487D4—1228no—
2488D4—1224no—
2489D4—1224no—
2490D4—1224no—
2491D4—2444no—
2492D4—2444no—
2493D4—2442no—
2494D4—2444no—
2495D4—2444no—
2496D4—2442no—
2497D4—2444no—
2498C2×C4—24no—
2499C2×C4—24no—
2500C2×C4—24no—
2501C2×C4—42no—
2502C2×C4—42no—
2503C2×C4—44no—
2504C2×C4—41no—
2505C2×C4—41no—
2506C2×C4—42no—
2507C2×C4—42no—
2508C2×C4—44no—
2509C2×C4—611no—
2510C2×C4—612no—
2511C2×C4—618no—
2512C2×C4—611no—
2513C2×C4—611no—
2514C2×C4—611no—
2515C2×C4—611no—
2516C2×C4—612no—
2517C2×C4—614no—
2518C2×C4—612no—
2519C2×C4—611no—
2520C2×C4—612no—
2521C2×C4—612no—
2522C2×C4—612no—
2523C2×C4—612no—
2524C2×C4—1224no—
2525C2×C4—1224no—
2526C2×C4—1222no—
2527C2×C4—1228no—
2528C2×C4—1222no—
2529C2×C4—1228no—
2530C2×C4—1224no—
2531C2×C4—1222no—
2532C2×C4—1224no—
2533C2×C4—1222no—
2534C2×C4—1228no—
2535C2×C4—1224no—
2536C2×C4—1222no—
2537C2×C4—1224no—
2538C2×C4—1224no—
2539C2×C4—1228no—
2540C2×C4—1224no—
2541C2×C4—1222no—
2542C2×C4—1224no—
2543C2×C4—1222no—
2544C2×C4—1222no—
2545C2×C4—1222no—
2546C2×C4—1222no—
2547C2×C4—2442no—
2548C2×C4—2441no—
2549C2×C4—2441no—
2550C2×C4—2444no—
2551C2×C4—2442no—
2552C2×C4—2442no—
2553C2×C4—2442no—
2554C2×C4—2444no—
2555C2×C4—2444no—
2556C2×C4—2441no—
2557C2×C4—2441no—
2558C2×C4—2444no—
2559C2×C4—2444no—
2560C2×C4—2441no—
2561C2×C4—2442no—
2562C2×C4—2442no—
2563C2×C4—2442no—
2564C2×C4#41×D6114yes—
2565C2×C4C24×D6111yescharacteristic
2566C2×C4C24×D6112yes—
2567C2×C4C24×D6111yescharacteristic
2568C2×C4C24×D6112yes—
2569C2×C4C24×D6114yes—
2570C2×C4C24×D6112yes—
2571C2×C4C24×D6111yescharacteristic
2572C2×C4C24×D6111yescharacteristic
2573C2×C4C24×D6112yes—
2574C2×C4C24×D6112yes—
2575C2×C4C24×D6114yes—
2576C2×C4C24×D6111yescharacteristic
2577C2×C4C24×D6111yescharacteristic
2578C22—21no—
2579C22—21no—
2580C22—22no—
2581C22—22no—
2582C22—22no—
2583C22—22no—
2584C22—22no—
2585C22—22no—
2586C22—22no—
2587C22—22no—
2588C22—22no—
2589C22—614no—
2590C22—612no—
2591C22—1221no—
2592C22—1222no—
2593C22—1221no—
2594C22—1222no—
2595C22—1221no—
2596C22—1224no—
2597C22—1224no—
2598C22—1221no—
2599C22—1221no—
2600C22—1224no—
2601C22—4884no—
2602C22—4888no—
2603C22—2444no—
2604C22—2448no—
2605C22C2×#41×D6112yes—
2606C22C25×D6111yescharacteristic
2607C4—22no—
2608C4—22no—
2609C4—22no—
2610C4—21no—
2611C4—22no—
2612C4—21no—
2613C4—22no—
2614C4—24no—
2615C4—24no—
2616C4—21no—
2617C4—21no—
2618C4—614no—
2619C4—612no—
2620C4—1221no—
2621C4—1221no—
2622C4—1224no—
2623C4—1221no—
2624C4—1221no—
2625C4—1221no—
2626C4—1222no—
2627C4—1222no—
2628C4—1222no—
2629C4—1222no—
2630C4—1222no—
2631C4—1222no—
2632C4C2×#41×D6112yes—
2633C4C2×#41×D6112yes—
2634C2—22no—
2635C2—42no—
2636C2—42no—
2637C2—42no—
2638C2—1224no—
2639C2—1222no—
2640C2—2444no—
2641C2—2441no—
2642C2C22×#41×D6111yescharacteristic
2643C2#585×D6111yescharacteristic
2644C2#585×D6111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3512C2
hypercenter#3512D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #21459927C2semidirect
2. #21459894C2semidirect
3. #21459878C2semidirect
4. #21459811C2semidirect
5. #21459766C2semidirect
6. #21459750C2semidirect
7. #21459734C2semidirect
8. #21459715C2semidirect
9. #21459708C2semidirect
10. #21459643C2semidirect
11. #21459606C2semidirect
12. #21459572C2semidirect
13. #21459563C2semidirect
14. #21459555C2semidirect
15. #21459546C2semidirect
16. #21459494C2semidirect
17. #21459483C2semidirect
18. #21459433C2semidirect
19. #21459426C2semidirect
20. #21459426C2semidirect
21. #21459413C2semidirect
22. #21459384C2semidirect
23. #21459378C2semidirect
24. #21459251C2semidirect
25. #21459247C2semidirect
26. #21459236C2semidirect
27. #21459234C2semidirect
28. #21459114C2semidirect
29. #21459113C2semidirect
30. C2×#16840297C2semidirect
31. #529×D61C2semidirect
32. #21459030C2semidirect
33. #21459025C2semidirect
34. C4×#41×D61C2semidirect
35. C61×#3512C2semidirect
39. #16840496C22semidirect
40. #16840495C22semidirect
41. #16840495C22semidirect
42. #16840495C22semidirect
43. #16840489C22semidirect
44. #16840489C22semidirect
45. #16840484C22semidirect
46. #16840484C22semidirect
47. #16840480C22semidirect
48. #16840480C22semidirect
49. #16840479C22semidirect
50. #16840479C22semidirect
51. #16840476C22semidirect
52. #16840475C22semidirect
53. #16840468C22semidirect
54. #16840468C22semidirect
55. #16840468C22semidirect
56. #16840467C22semidirect
57. #16840467C22semidirect
58. #16840467C22semidirect
59. #16840463C22semidirect
60. #16840462C22semidirect
61. #16840461C22semidirect
62. #16840460C22semidirect
63. #16840457C22semidirect
64. #16840457C22semidirect
65. #16840457C22semidirect
66. #16840456C22semidirect
67. #16840456C22semidirect
68. #16840455C22semidirect
69. #16840452C22semidirect
70. #16840451C22semidirect
71. #16840450C22semidirect
72. #16840448C22semidirect
73. #16840448C22semidirect
74. #16840447C22semidirect
75. #16840445C22semidirect
76. #16840444C22semidirect
77. #16840444C22semidirect
78. #16840441C22semidirect
79. #16840441C22semidirect
80. #16840441C22semidirect
81. #16840441C22semidirect
82. #16840441C22semidirect
83. #16840440C22semidirect
84. #16840440C22semidirect
85. #16840437C22semidirect
86. #16840437C22semidirect
87. #16840437C22semidirect
88. #16840436C22semidirect
89. #16840435C22semidirect
91. #16840425C22semidirect
93. #16840421C22semidirect
94. #16840421C22semidirect
95. #16840418C22semidirect
96. #16840414C22semidirect
97. #16840413C22semidirect
98. #16840412C22semidirect
99. #16840410C22semidirect
100. #16840409C22semidirect
101. #16840409C22semidirect
102. #16840408C22semidirect
103. #16840408C22semidirect
104. #16840408C22semidirect
107. #16840401C22semidirect
108. #16840401C22semidirect
109. #16840401C22semidirect
110. #16840401C22semidirect
113. #16840393C22semidirect
114. #16840393C22semidirect
115. #16840392C22semidirect
116. #16840392C22semidirect
117. #16840385C22semidirect
118. #16840385C22semidirect
119. #16840384C22semidirect
120. #16840383C22semidirect
121. #16840383C22semidirect
122. #16840380C22semidirect
123. #16840379C22semidirect
124. #16840379C22semidirect
125. #16840378C22semidirect
126. #16840377C22semidirect
127. #16840372C22semidirect
128. #16840372C22semidirect
129. #16840371C22semidirect
130. #16840370C22semidirect
131. #16840365C22semidirect
132. #16840365C22semidirect
133. #16840363C22semidirect
134. #16840362C22semidirect
135. #16840360C22semidirect
136. #16840357C22semidirect
137. #16840353C22semidirect
138. #16840349C22semidirect
139. #16840348C22semidirect
140. #16840344C22semidirect
142. #16840341C22semidirect
143. #16840337C22semidirect
144. #16840335C22semidirect
145. #16840333C22semidirect
146. #16840333C22semidirect
149. #16840326C22semidirect
150. #16840325C22semidirect
151. #16840319C22semidirect
152. #16840318C22semidirect
153. #16840318C22semidirect
154. #16840317C22semidirect
155. #16840317C22semidirect
156. #16840316C22semidirect
157. #16840314C22semidirect
158. #16840314C22semidirect
159. #16840311C22semidirect
160. #16840310C22semidirect
161. #16840310C22semidirect
162. #16840309C22semidirect
163. #16840307C22semidirect
164. #16840307C22semidirect
165. #16840307C22semidirect
166. #16840299C22semidirect
167. #16840298C22semidirect
168. #16840298C22semidirect
169. #16840297C22semidirect
170. #16840297C22semidirect
171. #16840297C22semidirect
172. #16840297C22semidirect
173. #16840297C22semidirect
174. #16840297C22semidirect
175. #16840297C22semidirect
176. #16840297C22semidirect
177. #16840297C22semidirect
178. #16840296C22semidirect
179. #16840296C22semidirect
180. #16840295C22semidirect
181. #16840295C22semidirect
182. #16840295C22semidirect
183. #16840295C22semidirect
184. #16840295C22semidirect
185. #16840294C22semidirect
186. #16840294C22semidirect
187. #16840294C22semidirect
188. #16840293C22semidirect
189. #16840293C22semidirect
190. #16840293C22semidirect
191. #16840293C22semidirect
192. #16840293C22semidirect
193. #16840292C22semidirect
194. #16840291C22semidirect
195. #16840291C22semidirect
196. #16840291C22semidirect
197. #16840291C22semidirect
198. #16840290C22semidirect
199. #16840290C22semidirect
200. #16840289C22semidirect
201. #16840289C22semidirect
202. #16840289C22semidirect
203. C2×#14519772C22semidirect
204. #126×D61C22semidirect
205. #125×D61C22semidirect
206. C2×#14519765C22semidirect
207. #124×D61C22semidirect
209. #16840272C22semidirect
210. #16840272C22semidirect
211. #16840272C22semidirect
212. #16840272C22semidirect
213. #16840272C22semidirect
214. #16840271C22semidirect
215. #16840270C22semidirect
216. #16840270C22semidirect
218. #16840269C22semidirect
219. C2×#14519762C22semidirect
220. #123×D61C22semidirect
221. C2×#14519757C22semidirect
222. C22⋊Q8×D61C22semidirect
225. #16840244C22semidirect
228. #16840243C22semidirect
229. #16840243C22semidirect
230. #16840241C22semidirect
231. #16840241C22semidirect
232. #16840239C22semidirect
233. #16840239C22semidirect
234. #16840238C22semidirect
235. #16840236C22semidirect
236. #16840236C22semidirect
237. #16840234C22semidirect
238. #16840234C22semidirect
239. #41×Dic61C22semidirect
240. #41×Dic61C22semidirect
241. #41×Dic61C22semidirect
242. C4×#11758226C22semidirect
243. C4×#11758226C22semidirect
244. C4×#11758226C22semidirect
246. C4×#11758222C22semidirect
248. #16840230C22semidirect
249. #16840230C22semidirect
250. #16840230C22semidirect
251. #16840230C22semidirect
252. C4×#11758224C22semidirect
253. C4×#11758224C22semidirect
254. C4×#11758224C22semidirect
255. C4×#11758224C22semidirect
256. C4×#11758224C22semidirect
257. C4×#11758224C22semidirect
258. C4×#11758224C22semidirect
259. C4×#11758224C22semidirect
260. C4×#11758224C22semidirect
261. C2×#14519742C22semidirect
262. C2×#14519742C22semidirect
263. C4×Q8×D61C22semidirect
264. C4×Q8×D61C22semidirect
265. C4×Q8×D61C22semidirect
266. C2×#14519739C22semidirect
267. C2×#14519739C22semidirect
268. C2×#14519739C22semidirect
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×#14519735C22semidirect
277. #117×D61C22semidirect
278. #117×D61C22semidirect
279. #117×D61C22semidirect
280. C2×C42×D61C22semidirect
281. C2×C42×D61C22semidirect
282. C61×#553C22semidirect
283. C61×#553C22semidirect
284. C61×#553C22semidirect
285. C61×#553C22semidirect
286. C61×#552C22semidirect
287. C61×#552C22semidirect
288. C61×#541C22semidirect
289. C61×#540C22semidirect
291. C61×#537C22semidirect
292. C61×#532C22semidirect
293. C61×#529C22semidirect
294. C61×#529C22semidirect
295. C2×#125×C61C22semidirect
296. C61×#520C22semidirect
297. C61×#520C22semidirect
298. C4×#41×C61C22semidirect
890. #11758222#41semidirect
1319. #3512D61semidirect
1391. #553C2×D61semidirect
1392. #553C2×D61semidirect
1393. #553C2×D61semidirect
1394. #553C2×D61semidirect
1404. #552C2×D61semidirect
1405. #552C2×D61semidirect
1459. #541C2×D61semidirect
1464. #540C2×D61semidirect
1474. #537C2×D61semidirect
1498. #532C2×D61semidirect
1536. #529C2×D61semidirect
1537. #529C2×D61semidirect
1541. C2×#125C2×D61semidirect
1568. #520C2×D61semidirect
1569. #520C2×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
#214599272
#214598942
#214598782
#214598112
#214597662
#214597502
#214597342
#214597152
#214597082
#214596432
#214596062
#214595722
#214595632
#214595552
#214595462
#214594942
#214594832
#214594332
#214594262
#214594132
#214593842
#214593782
#214592512
#214592472
#214592362
#214592342
#214591142
#214591132
C2×#168402972
#529×D612
#214590302
#214590252
C4×#41×D612
C61×#35122
#6281061