Finite Group Databasebeta

← #30587320

Subgroups — #30587320

Order 15616.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460138C212yesmaximal, complemented
2#21460125C212yesmaximal, complemented
3#21460115C212yesmaximal, complemented
4#21460102C212yesmaximal, complemented
5#21460087C212yesmaximal, complemented
6#21460079C211yesmaximal, characteristic, complemented
7#21460067C211yesmaximal, characteristic, complemented
8#21460057C211yesmaximal, characteristic, complemented
9#21460037C212yesmaximal, complemented
10#21460027C214yesmaximal, complemented
11#21460002C214yesmaximal, complemented
12#21459977C214yesmaximal, complemented
13#21459972C214yesmaximal, complemented
14#21459954C214yesmaximal, complemented
15#21459426C214yesmaximal, complemented
16#21459378C212yesmaximal, complemented
17#21459372C212yesmaximal, complemented
18#21459309C212yesmaximal, complemented
19#21459306C212yesmaximal, complemented
20#21459234C214yesmaximal, complemented
21#21459227C214yesmaximal, complemented
22#21459210C211yesmaximal, characteristic, complemented
23#21459203C211yesmaximal, characteristic, complemented
24#21459147C212yesmaximal, complemented
25#525×D61C211yesmaximal, characteristic, complemented
26#525×D61C212yesmaximal, complemented
27C61×#3539C211yesmaximal, characteristic, complemented
28C2×#41×D61C2212yescomplemented
29C2×#41×D61C2211yescharacteristic, complemented
30C2×#41×D61C2212yescomplemented
31C23×C4×D61C2211yescharacteristic, complemented
32#16840515C2214yescomplemented
33#16840514C2214yescomplemented
34#16840514C2214yescomplemented
35#16840509C2214yescomplemented
36#16840509C2214yescomplemented
37#16840507C2214yescomplemented
38#16840507C2214yescomplemented
39#16840507C2214yescomplemented
40#16840507C2214yescomplemented
41#16840505C2214yescomplemented
42#16840501C2214yescomplemented
43#16840501C2214yescomplemented
44#16840500C2214yescomplemented
45#16840500C2214yescomplemented
46#16840499C2214yescomplemented
47#16840495C2214yescomplemented
48#16840483C2212yescomplemented
49#16840480C2212yescomplemented
50#16840476C2212yescomplemented
51#16840475C2212yescomplemented
52#16840470C2212yescomplemented
53#16840468C2214yescomplemented
54#16840467C2214yescomplemented
55#16840467C2212yescomplemented
56#16840465C2212yescomplemented
57#16840462C2212yescomplemented
58#16840458C2212yescomplemented
59#16840457C2214yescomplemented
60#16840457C2214yescomplemented
61#16840456C2214yescomplemented
62#16840453C2212yescomplemented
63#16840452C2212yescomplemented
64#16840450C2212yescomplemented
65#16840448C2214yescomplemented
66#16840444C2214yescomplemented
67#16840441C2214yescomplemented
68#16840441C2214yescomplemented
69#16840441C2214yescomplemented
70#16840440C2214yescomplemented
71#16840437C2214yescomplemented
72#16840437C2214yescomplemented
73#16840437C2214yescomplemented
74#16840436C2214yescomplemented
75#16840433C2212yescomplemented
76Q8×D244C2212yescomplemented
77#16840427C2212yescomplemented
78#16840422C2212yescomplemented
79#16840422C2212yescomplemented
80#16840419C2212yescomplemented
81#16840419C2212yescomplemented
82#16840417C2214yescomplemented
83#16840417C2212yescomplemented
84#16840413C2214yescomplemented
85#16840413C2212yescomplemented
86#16840412C2212yescomplemented
87#16840409C2214yescomplemented
88#16840409C2214yescomplemented
89#16840409C2214yescomplemented
90#16840409C2212yescomplemented
91#16840409C2212yescomplemented
92#16840408C2214yescomplemented
93#16840404C2214yescomplemented
94#16840404C2214yescomplemented
95#16840404C2214yescomplemented
96#16840401C2214yescomplemented
97#16840401C2214yescomplemented
98#16840401C2214yescomplemented
99#16840400C2212yescomplemented
100#16840400C2212yescomplemented
101D4×D244C2212yescomplemented
102#16840397C2214yescomplemented
103#16840397C2212yescomplemented
104#16840396C2214yescomplemented
105#16840396C2214yescomplemented
106#16840392C2214yescomplemented
107#16840387C2214yescomplemented
108#16840385C2212yescomplemented
109#16840384C2212yescomplemented
110#16840383C2214yescomplemented
111#16840380C2214yescomplemented
112#16840380C2214yescomplemented
113#16840379C2212yescomplemented
114#16840377C2214yescomplemented
115#16840377C2212yescomplemented
116#16840375C2211yescharacteristic, complemented
117#16840374C2211yescharacteristic, complemented
118#16840373C2211yescharacteristic, complemented
119#16840368C2211yescharacteristic, complemented
120#16840367C2211yescharacteristic, complemented
121#16840366C2211yescharacteristic, complemented
122#16840363C2214yescomplemented
123#16840362C2214yescomplemented
124#16840362C2214yescomplemented
125#16840360C2214yescomplemented
126#16840360C2214yescomplemented
127#16840360C2214yescomplemented
128#16840359C2214yescomplemented
129#16840358C2214yescomplemented
130#16840358C2214yescomplemented
131#16840355C2214yescomplemented
132#16840351C2214yescomplemented
133#16840351C2214yescomplemented
134#16840351C2214yescomplemented
135#16840348C2214yescomplemented
136#16840348C2214yescomplemented
137#16840348C2214yescomplemented
138#16840348C2214yescomplemented
139#16840345C2214yescomplemented
140#16840345C2214yescomplemented
141#16840344C2214yescomplemented
142#16840344C2214yescomplemented
143#16840344C2214yescomplemented
144#16840343C2212yescomplemented
145#16840341C2214yescomplemented
146#16840340C2212yescomplemented
147#16840340C2212yescomplemented
148#16840335C2214yescomplemented
149#16840335C2212yescomplemented
150#16840335C2212yescomplemented
151#16840328C2214yescomplemented
152#16840328C2214yescomplemented
153#16840328C2212yescomplemented
154#16840328C2212yescomplemented
155#16840325C2214yescomplemented
156#16840323C2214yescomplemented
157#16840323C2214yescomplemented
158#16840320C2214yescomplemented
159#16840320C2214yescomplemented
160#16840320C2214yescomplemented
161#16840318C2211yescharacteristic, complemented
162#16840318C2211yescharacteristic, complemented
163#16840313C2211yescharacteristic, complemented
164#16840310C2211yescharacteristic, complemented
165#16840310C2214yescomplemented
166#16840307C2214yescomplemented
167#16840307C2214yescomplemented
168#16840307C2214yescomplemented
169#16840297C2214yescomplemented
170#16840297C2214yescomplemented
171#16840295C2214yescomplemented
172#16840295C2214yescomplemented
173#16840295C2214yescomplemented
174#16840293C2214yescomplemented
175#16840293C2214yescomplemented
176#16840289C2214yescomplemented
177#16840289C2214yescomplemented
178#16840289C2214yescomplemented
179#16840275C2212yescomplemented
180#16840275C2212yescomplemented
181#16840275C2212yescomplemented
182#16840275C2212yescomplemented
183#16840275C2214yescomplemented
184#16840274C2211yescharacteristic
185#16840274C2212yescomplemented
186#16840273C2212yescomplemented
187#16840273C2211yescharacteristic, complemented
188#16840272C2212yescomplemented
189#16840272C2212yescomplemented
190#16840272C2212yescomplemented
191#16840272C2212yescomplemented
192#16840272C2214yescomplemented
193#16840272C2214yescomplemented
194#16840272C2214yescomplemented
195#16840271C2214yescomplemented
196#16840271C2214yescomplemented
197#16840271C2212yescomplemented
198#16840271C2212yescomplemented
199#16840270C2214yescomplemented
200#16840270C2212yescomplemented
201#16840270C2214yescomplemented
202#16840270C2214yescomplemented
203#16840269C2211yescharacteristic, complemented
204#16840269C2212yescomplemented
205#16840268C2214yescomplemented
206#16840268C2212yescomplemented
207#123×D61C2212yescomplemented
208#123×D61C2214yescomplemented
209C22⋊Q8×D61C2212yescomplemented
210C22⋊Q8×D61C2212yescomplemented
211C22⋊Q8×D61C2212yescomplemented
212#121×D61C2212yescomplemented
213#121×D61C2212yescomplemented
214#121×D61C2212yescomplemented
215#120×D61C2214yescomplemented
216#120×D61C2212yescomplemented
217C4×#11758226C2212yescomplemented
218#16840230C2214yescomplemented
219C4×#11758224C2212yescomplemented
220C4×#11758224C2214yescomplemented
221C2×#14519739C2214yescomplemented
222C4×D4×D61C2214yescomplemented
223C4×D4×D61C2212yescomplemented
224C4×D4×D61C2212yescomplemented
225C4×D4×D61C2214yescomplemented
226C4×D4×D61C2214yescomplemented
227C2×#14519735C2212yescomplemented
228#117×D61C2211yescharacteristic, complemented
229#117×D61C2212yescomplemented
230C61×#560C2214yescomplemented
231C61×#553C2212yescomplemented
232C61×#553C2214yescomplemented
233C61×#552C2212yescomplemented
234C61×#550C2212yescomplemented
235C61×#547C2212yescomplemented
236C61×#541C2211yescharacteristic, complemented
237C61×#540C2211yescharacteristic, complemented
238C61×#540C2214yescomplemented
239C61×#539C2214yescomplemented
240C61×#537C2212yescomplemented
241C61×#525C2211yescharacteristic, complemented
242C61×#525C2212yescomplemented
243C24×D61C2311yescharacteristic
244C2×#11758226C2312yes—
245C2×#11758226C2311yescharacteristic
246C2×#11758222C2314yes—
247C2×#11758222C2312yes—
248C2×#11758222C2314yes—
249C2×#11758222C2311yescharacteristic
250C2×#11758222C2312yes—
251C2×#11758222C2314yes—
252C2×#11758222C2312yescomplemented
253C2×#11758224C2312yes—
254C2×#11758224C2314yes—
255C2×#11758224C2314yes—
256C2×#11758224C2312yes—
257C2×#11758224C2311yescharacteristic
258C2×#11758224C2314yescomplemented
259#41×D61—44no—
260#41×D61—48no—
261#41×D61—48no—
262C2×Q8×D61C2311yescharacteristic
263C2×Q8×D61C2312yes—
264C2×Q8×D61C2312yescomplemented
265C22×D244C2314yes—
266C2×D4×D61C2314yes—
267C2×D4×D61C2312yes—
268C2×D4×D61C2314yes—
269C2×D4×D61C2312yes—
270C2×D4×D61C2314yes—
271C2×D4×D61C2312yes—
272C2×D4×D61C2314yes—
273C2×D4×D61C2311yescharacteristic
274C2×D4×D61C2312yes—
275C2×D4×D61C2314yes—
276C2×D4×D61C2312yescomplemented
277C23×Dic61C2311yescharacteristic
278C22×C4×D61—44no—
279C22×C4×D61C2312yes—
280C22×C4×D61C2311yescharacteristic
281C22×C4×D61C2312yes—
282C22×C4×D61C2311yescharacteristic
283C22×C4×D61C2314yes—
284C22×C4×D61C2312yes—
285C22×C4×D61C2311yescharacteristic
286C22×C4×D61C2312yes—
287C22×C4×D61C2312yes—
288C22×C4×D61C2311yescharacteristic
289C22×C4×D61C2314yescomplemented
290#14519777C2314yescomplemented
291#14519777C2311yescharacteristic, complemented
292#14519776C2314yescomplemented
293#14519776C2312yescomplemented
294#14519776C2312yescomplemented
295#14519776C2314yescomplemented
296#14519776C2314yescomplemented
297#14519774C2311yescharacteristic, complemented
298#14519773C2314yes—
299#14519773C2314yes—
300#14519773C2314yes—
301#14519772C2314yes—
302#14519772C2314yes—
303#14519772C2314yescomplemented
304#14519772C2314yescomplemented
305#14519772C2314yescomplemented
306#14519772C2314yescomplemented
307#14519772C2314yescomplemented
308#14519771C2314yescomplemented
309#14519771C2314yescomplemented
310#14519771C2314yescomplemented
311#14519770C2314yes—
312#14519770C2314yes—
313#14519770C2314yes—
314#14519770C2314yes—
315#14519770C2314yescomplemented
316#14519770C2314yescomplemented
317#14519770C2314yescomplemented
318#14519769C2311yescharacteristic, complemented
319#14519769C2311yescharacteristic, complemented
320#14519768C2314yescomplemented
321#14519768C2314yescomplemented
322#14519767C2314yescomplemented
323#14519767C2314yescomplemented
324#14519767C2314yescomplemented
325#14519767C2314yescomplemented
326#14519767C2314yescomplemented
327#14519767C2314yescomplemented
328#14519766C2312yescomplemented
329#14519765C2314yes—
330#14519765C2314yescomplemented
331#14519764C2314yes—
332#14519764C2314yes—
333#14519764C2314yes—
334#14519764C2314yescomplemented
335#14519764C2312yescomplemented
336#14519763C2314yes—
337#14519763C2314yes—
338#14519763C2314yes—
339#14519763C2314yes—
340#14519763C2314yes—
341#14519763C2314yes—
342#14519763C2314yes—
343#14519763C2314yes—
344#14519763C2314yescomplemented
345#14519763C2314yescomplemented
346#14519763C2314yescomplemented
347#14519763C2314yescomplemented
348#14519762C2314yes—
349#14519762C2314yes—
350#14519762C2314yes—
351#14519762C2312yes—
352#14519762C2312yes—
353#14519762C2314yes—
354#14519762C2314yes—
355#14519762C2314yes—
356#14519762C2314yes—
357#14519762C2314yes—
358#14519762C2314yescomplemented
359#14519762C2314yescomplemented
360#14519762C2314yescomplemented
361#14519762C2314yescomplemented
362#14519761C2312yes—
363#14519761C2314yes—
364#14519760C2312yes—
365#14519760C2314yes—
366#14519760C2314yes—
367#14519760C2314yescomplemented
368#14519760C2314yescomplemented
369#14519760C2314yescomplemented
370#14519760C2314yescomplemented
371#14519759C2314yes—
372#14519759C2314yes—
373#14519759C2314yes—
374#14519759C2314yes—
375#14519759C2314yes—
376#14519759C2314yes—
377#14519759C2314yes—
378#14519759C2312yes—
379#14519759C2312yes—
380#14519759C2314yes—
381#14519759C2314yescomplemented
382#14519759C2314yescomplemented
383#14519759C2314yescomplemented
384#14519759C2314yescomplemented
385#14519758C2314yes—
386#14519758C2314yes—
387#14519758C2314yes—
388#14519758C2312yes—
389#14519758C2314yescomplemented
390#14519758C2314yescomplemented
391#14519757C2312yes—
392#14519757C2314yes—
393#14519757C2314yes—
394#14519757C2312yes—
395#14519757C2312yes—
396#14519757C2312yescomplemented
397#14519757C2314yescomplemented
398#14519757C2314yescomplemented
399#14519757C2314yescomplemented
400#14519756C2312yes—
401#14519756C2312yes—
402#14519756C2312yes—
403#14519756C2312yescomplemented
404#14519756C2314yescomplemented
405#14519756C2314yescomplemented
406#14519756C2314yescomplemented
407#14519756C2314yescomplemented
408#14519756C2314yescomplemented
409#14519755C2314yes—
410#14519755C2312yes—
411#14519755C2314yes—
412#14519755C2314yes—
413#14519755C2312yes—
414#14519755C2314yes—
415#14519755C2314yes—
416#14519755C2314yes—
417#14519755C2314yescomplemented
418#14519755C2314yescomplemented
419#14519755C2314yescomplemented
420#14519755C2314yescomplemented
421#14519755C2314yescomplemented
422#14519754C2314yes—
423#14519754C2312yes—
424#14519754C2314yes—
425#14519754C2312yes—
426#14519754C2314yescomplemented
427#14519754C2314yescomplemented
428#14519754C2314yescomplemented
429#14519753C2312yes—
430#14519753C2312yes—
431#14519753C2312yes—
432#14519753C2312yescomplemented
433#14519753C2314yescomplemented
434#14519752C2314yes—
435#14519752C2312yes—
436#14519752C2312yes—
437#14519752C2312yes—
438#14519752C2314yes—
439#14519752C2314yes—
440#14519752C2314yes—
441#14519752C2312yescomplemented
442#14519751C2312yes—
443#14519751C2312yes—
444#14519751C2312yes—
445#14519751C2314yes—
446#14519751C2314yes—
447#14519751C2314yescomplemented
448#14519751C2312yescomplemented
449#14519751C2314yescomplemented
450#14519750C2312yes—
451#14519750C2314yes—
452#14519750C2312yes—
453#14519750C2314yes—
454#14519750C2314yes—
455#14519750C2314yes—
456#14519750C2314yes—
457#14519750C2314yes—
458#14519750C2314yes—
459#14519750C2314yes—
460#14519750C2314yescomplemented
461#14519749C2314yes—
462#14519749C2314yes—
463#14519749C2314yes—
464#14519749C2312yes—
465#14519749C2314yes—
466#14519749C2314yes—
467#14519749C2312yes—
468#14519749C2314yes—
469#14519749C2314yes—
470#14519749C2314yes—
471#14519749C2314yescomplemented
472#14519749C2314yescomplemented
473#14519749C2314yescomplemented
474#14519748C2314yes—
475#14519748C2314yes—
476#14519748C2312yes—
477#14519748C2314yes—
478#14519748C2314yes—
479#14519748C2314yes—
480#14519748C2312yes—
481#14519748C2312yes—
482#14519748C2314yes—
483#14519748C2312yescomplemented
484#14519748C2314yescomplemented
485#14519748C2314yescomplemented
486#14519747C2312yes—
487#14519747C2314yes—
488#14519747C2312yes—
489#14519747C2314yes—
490#14519747C2312yes—
491#14519747C2314yes—
492#14519747C2314yes—
493#14519747C2314yes—
494#14519747C2314yes—
495#14519747C2314yescomplemented
496#14519747C2314yescomplemented
497#14519746C2314yes—
498#14519746C2312yes—
499#14519745C2314yes—
500#14519745C2314yes—
501#14519745C2314yes—
502#14519745C2314yes—
503#14519745C2312yes—
504#14519745C2314yes—
505#14519745C2312yes—
506#14519745C2312yes—
507#14519745C2314yes—
508#14519745C2314yes—
509#14519745C2314yes—
510#14519745C2314yes—
511#14519745C2314yes—
512#14519745C2314yescomplemented
513#14519745C2314yescomplemented
514Q8×Dic61C2312yescomplemented
515C4×Dic122C2314yescomplemented
516C4×Dic122C2312yescomplemented
517#14519742C2312yescomplemented
518#14519742C2314yescomplemented
519#14519742C2314yescomplemented
520#14519742C2314yescomplemented
521C4×D244C2312yes—
522C4×D244C2312yes—
523C4×D244C2314yes—
524C4×D244C2314yes—
525C4×D244C2314yes—
526C4×D244C2314yes—
527C4×D244C2312yescomplemented
528D4×Dic61C2314yes—
529D4×Dic61C2314yes—
530D4×Dic61C2312yes—
531D4×Dic61C2312yes—
532D4×Dic61C2314yescomplemented
533D4×Dic61C2312yescomplemented
534D4×Dic61C2314yescomplemented
535#14519739C2314yes—
536#14519739C2314yes—
537#14519739C2314yes—
538#14519739C2312yes—
539#14519739C2312yes—
540#14519739C2314yes—
541#14519739C2314yes—
542#14519739C2314yes—
543#14519739C2314yescomplemented
544#14519739C2314yescomplemented
545#14519739C2312yescomplemented
546#14519739C2314yescomplemented
547#14519739C2314yescomplemented
548C4×C22⋊D61C2314yes—
549C4×C22⋊D61C2314yes—
550C4×C22⋊D61C2314yes—
551C4×C22⋊D61C2314yes—
552C4×C22⋊D61C2312yes—
553C4×C22⋊D61C2314yes—
554C4×C22⋊D61C2312yes—
555C4×C22⋊D61C2312yes—
556C4×C22⋊D61C2312yes—
557C4×C22⋊D61C2314yes—
558C4×C22⋊D61C2314yes—
559C4×C22⋊D61C2314yes—
560C4×C22⋊D61C2314yescomplemented
561#14519737C2314yes—
562#14519737C2314yes—
563#14519737C2314yes—
564#14519737C2312yes—
565#14519737C2312yes—
566#14519737C2312yes—
567#14519737C2314yes—
568#14519737C2312yes—
569#14519737C2314yes—
570#14519737C2314yes—
571#14519737C2314yescomplemented
572#14519737C2314yescomplemented
573#14519737C2314yescomplemented
574#14519736C2312yes—
575#14519736C2311yescharacteristic
576#14519735C2314yes—
577#14519735C2314yes—
578#14519735C2312yes—
579#14519735C2312yes—
580#14519735C2312yes—
581#14519735C2312yescomplemented
582#14519735C2312yescomplemented
583#14519735C2314yescomplemented
584#14519735C2314yescomplemented
585#14519734C2314yes—
586#14519734C2314yes—
587#14519734C2311yescharacteristic
588#14519734C2311yescharacteristic
589#14519734C2314yescomplemented
590#14519733C2314yes—
591#14519733C2312yes—
592#14519733C2314yescomplemented
593#14519733C2314yescomplemented
594#14519733C2314yescomplemented
595C2×C4⋊Dic61C2312yescomplemented
596C4⋊C4×D61C2312yes—
597C4⋊C4×D61C2312yes—
598C4⋊C4×D61C2314yes—
599C4⋊C4×D61C2312yes—
600C4⋊C4×D61C2312yes—
601C4⋊C4×D61C2314yes—
602C4⋊C4×D61C2312yes—
603C4⋊C4×D61C2314yescomplemented
604C2×#11758198C2314yes—
605C2×#11758198C2314yes—
606C2×#11758198C2314yescomplemented
607C22⋊C4×D61C2312yes—
608C22⋊C4×D61C2314yes—
609C22⋊C4×D61C2314yes—
610C22⋊C4×D61C2314yes—
611C22⋊C4×D61C2312yes—
612C22⋊C4×D61C2312yes—
613C22⋊C4×D61C2314yes—
614C22⋊C4×D61C2314yes—
615C22⋊C4×D61C2312yes—
616C22⋊C4×D61C2312yes—
617C22⋊C4×D61C2314yes—
618C22⋊C4×D61C2314yescomplemented
619C2×C4×Dic61C2314yescomplemented
620C2×C4×Dic61C2314yescomplemented
621C42×D61C2311yescharacteristic
622C42×D61C2314yes—
623C42×D61C2311yescharacteristic
624C42×D61C2314yescomplemented
625C2×#41×C61C2311yescharacteristic
626C2×#41×C61C2312yes—
627C2×#41×C61C2312yescomplemented
628C23×C4×C61C2311yescharacteristic
629C4⋊Q8×C61C2311yescharacteristic, complemented
630#127×C61C2314yes—
631#127×C61C2311yescharacteristic, complemented
632#126×C61C2314yes—
633#126×C61C2314yes—
634#126×C61C2314yescomplemented
635#125×C61C2311yescharacteristic, complemented
636#125×C61C2314yescomplemented
637#125×C61C2314yescomplemented
638#125×C61C2311yescharacteristic, complemented
639#123×C61C2314yes—
640#123×C61C2314yes—
641#123×C61C2314yes—
642#123×C61C2312yes—
643#123×C61C2314yes—
644#123×C61C2314yescomplemented
645#123×C61C2314yescomplemented
646C22⋊Q8×C61C2312yes—
647C22⋊Q8×C61C2312yes—
648C22⋊Q8×C61C2312yes—
649C22⋊Q8×C61C2314yescomplemented
650C22⋊Q8×C61C2312yescomplemented
651#121×C61C2312yes—
652#121×C61C2314yes—
653#121×C61C2314yes—
654#121×C61C2314yes—
655#121×C61C2312yes—
656#121×C61C2314yes—
657#121×C61C2314yes—
658#121×C61C2314yes—
659#121×C61C2312yes—
660#121×C61C2314yescomplemented
661#121×C61C2312yescomplemented
662#121×C61C2314yescomplemented
663#120×C61C2312yes—
664#120×C61C2314yes—
665C4×Q8×C61C2312yescomplemented
666C4×D4×C61C2312yes—
667C4×D4×C61C2314yes—
668C4×D4×C61C2312yes—
669C4×D4×C61C2314yes—
670C4×D4×C61C2314yescomplemented
671C4×D4×C61C2312yescomplemented
672C4×D4×C61C2314yescomplemented
673#117×C61C2311yescharacteristic
674#117×C61C2312yes—
675#117×C61C2314yescomplemented
676C2×C4⋊C4×C61C2312yescomplemented
677C2×C4⋊C4×C61C2314yescomplemented
678C24×C61C2411yescharacteristic
679C23×D61—42no—
680C23×D61—44no—
681C23×D61C2412yes—
682C23×D61C2411yescharacteristic
683C23×D61C2411yescharacteristic
684C23×D61C2412yes—
685C23×D61C2412yes—
686C23×D61C2414yes—
687C23×D61C2414yes—
688#41×C61—42no—
689#41×C61—44no—
690#41×C61—44no—
691C2×Q8×C61C2412yes—
692C2×Q8×C61C2411yescharacteristic
693C2×D4×C61C2412yes—
694C2×D4×C61C2412yes—
695C2×D4×C61C2414yes—
696C2×D4×C61C2411yescharacteristic
697C2×D4×C61C2414yes—
698C2×D4×C61C2414yes—
699C2×D4×C61C2412yes—
700C2×D4×C61C2414yes—
701C2×D4×C61C2412yes—
702C2×D4×C61C2414yes—
703C2×D4×C61C2414yes—
704C22×C4×C61—42no—
705C22×C4×C61C2412yes—
706C22×C4×C61C2411yescharacteristic
707C22×C4×C61C2412yes—
708C22×C4×C61C2411yescharacteristic
709C22×C4×C61C2412yes—
710C22×C4×C61C2414yes—
711C22×C4×C61C2414yes—
712C22×C4×C61C2414yes—
713C22×C4×C61C2414yes—
714C2×C22⋊D61C2414yes—
715C2×C22⋊D61C2414yes—
716C2×C22⋊D61C2412yes—
717C2×C22⋊D61C2412yes—
718C2×C22⋊D61C2412yes—
719C2×C22⋊D61C2412yes—
720C2×C22⋊D61C2414yes—
721C2×C22⋊D61C2412yes—
722C2×C22⋊D61C2414yes—
723C2×C22⋊D61C2414yes—
724C2×C22⋊D61C2412yes—
725C2×C22⋊D61C2412yes—
726C2×C22⋊D61C2414yes—
727C2×C22⋊D61C2414yes—
728C2×C22⋊D61C2414yes—
729C2×C22⋊D61C2414yes—
730C2×C22⋊D61C2414yes—
731C2×C22⋊D61C2414yes—
732C22×Dic61—42no—
733C22×Dic61C2412yes—
734C22×Dic61C2411yescharacteristic
735C22×Dic61C2414yes—
736C22×Dic61C2412yes—
737C22×Dic61C2411yescharacteristic
738C22×Dic61C2412yes—
739C22×Dic61C2414yes—
740C22×Dic61C2414yes—
741#11758226—28no—
742#11758226—42no—
743Q8×D61—44no—
744Q8×D61—44no—
745Q8×D61—42no—
746#11758224—28no—
747#11758224—44no—
748#11758224—42no—
749#11758224—48no—
750#11758224—48no—
751#11758224—48no—
752D4×D61—44no—
753D4×D61—44no—
754D4×D61—48no—
755D4×D61—42no—
756D4×D61—44no—
757D4×D61—44no—
758D4×D61—48no—
759D4×D61—44no—
760D4×D61—48no—
761D4×D61—48no—
762D4×D61—48no—
763#11758222—44no—
764#11758222—44no—
765#11758222—44no—
766#11758222—42no—
767#11758222—48no—
768#11758222—48no—
769#11758222—48no—
770C2×D244—48no—
771C2×D244C2412yes—
772C2×D244C2414yes—
773C2×D244C2412yes—
774C2×D244C2412yes—
775C2×D244C2414yes—
776C2×D244C2412yes—
777C2×D244C2411yescharacteristic
778C2×D244C2414yes—
779C2×D244C2414yes—
780C2×D244C2414yes—
781C2×C4×D61—28no—
782C2×C4×D61—24no—
783C2×C4×D61—28no—
784C2×C4×D61—42no—
785C2×C4×D61—44no—
786C2×C4×D61—48no—
787C2×C4×D61—48no—
788C2×C4×D61—44no—
789C2×C4×D61—42no—
790C2×C4×D61—42no—
791C2×C4×D61—44no—
792C2×C4×D61C2412yes—
793C2×C4×D61C2412yes—
794C2×C4×D61C2411yescharacteristic
795C2×C4×D61C2411yescharacteristic
796C2×C4×D61C2412yes—
797C2×C4×D61C2411yescharacteristic
798C2×C4×D61C2412yes—
799C2×C4×D61C2414yes—
800C2×C4×D61C2412yes—
801C2×C4×D61C2412yes—
802C2×C4×D61C2414yes—
803C2×C4×D61C2412yes—
804C2×C4×D61C2412yes—
805C2×C4×D61C2412yes—
806C2×C4×D61C2414yes—
807C2×C4×D61C2414yes—
808C2×C4×D61C2414yes—
809C2×C4×D61C2414yes—
810C2×C4×D61C2412yes—
811C2×C4×D61C2414yes—
812C2×C4×D61C2412yes—
813C2×C4×D61C2414yes—
814C2×C4×D61C2414yes—
815C2×C4×D61C2411yescharacteristic
816C2×Dic122C2412yes—
817C2×Dic122C2414yes—
818C2×Dic122C2412yes—
819C2×Dic122C2411yescharacteristic
820C2×Dic122C2414yes—
821C2×Dic122C2414yes—
822C2×Dic122C2414yes—
823C4⋊C4×C61C2412yes—
824C4⋊C4×C61C2412yes—
825C4⋊C4×C61C2412yes—
826C4⋊C4×C61C2414yes—
827C4⋊C4×C61C2414yes—
828C4⋊C4×C61C2414yes—
829C4⋊C4×C61C2414yes—
830C4⋊C4×C61C2412yes—
831C4⋊C4×C61C2414yes—
832C4⋊C4×C61C2412yes—
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2414yes—
835C4⋊C4×C61C2414yes—
836C22⋊C4×C61C2412yes—
837C22⋊C4×C61C2414yes—
838C22⋊C4×C61C2412yes—
839C22⋊C4×C61C2414yes—
840C22⋊C4×C61C2414yes—
841C22⋊C4×C61C2412yes—
842C22⋊C4×C61C2412yes—
843C22⋊C4×C61C2414yes—
844C22⋊C4×C61C2414yes—
845C22⋊C4×C61C2412yes—
846C22⋊C4×C61C2414yes—
847C22⋊C4×C61C2414yes—
848C22⋊C4×C61C2414yes—
849C42×C61C2414yes—
850C42×C61C2411yescharacteristic
851C42×C61C2411yescharacteristic
852C42×C61C2414yes—
853C22⋊Dic61C2414yes—
854C22⋊Dic61C2412yes—
855C22⋊Dic61C2414yes—
856C22⋊Dic61C2412yes—
857C22⋊Dic61C2414yes—
858C22⋊Dic61C2412yes—
859C22⋊Dic61C2414yes—
860C22⋊Dic61C2414yes—
861C22⋊Dic61C2412yes—
862C22⋊Dic61C2412yes—
863C22⋊Dic61C2414yes—
864C22⋊Dic61C2414yes—
865C22⋊Dic61C2414yes—
866C22⋊Dic61C2414yes—
867C22⋊Dic61C2414yes—
868#11758198C2412yes—
869#11758198C2414yes—
870#11758198C2412yes—
871#11758198C2412yes—
872#11758198C2414yes—
873#11758198C2414yes—
874#11758198C2414yes—
875#11758198C2412yes—
876#11758198C2414yes—
877#11758198C2412yes—
878#11758198C2412yes—
879#11758198C2412yes—
880#11758198C2412yes—
881#11758198C2414yes—
882#11758198C2412yes—
883#11758198C2414yes—
884#11758198C2412yes—
885#11758198C2414yes—
886#11758198C2414yes—
887#11758198C2414yes—
888#11758198C2414yes—
889#11758198C2414yes—
890#11758198C2414yes—
891#11758198C2414yes—
892#11758198C2414yes—
893#11758198C2414yes—
894#11758198C2414yes—
895#11758198C2414yes—
896#11758198C2414yes—
897#11758198C2414yes—
898C4⋊Dic61C2412yes—
899C4⋊Dic61C2412yes—
900C4⋊Dic61C2412yes—
901C4⋊Dic61C2412yes—
902C4⋊Dic61C2414yes—
903C4⋊Dic61C2412yes—
904C4⋊Dic61C2414yes—
905C4⋊Dic61C2414yes—
906C4⋊Dic61C2414yes—
907C4⋊Dic61C2414yes—
908C4⋊Dic61C2414yes—
909#11758196C2414yes—
910#11758196C2414yes—
911#11758196C2414yes—
912#11758196C2412yes—
913#11758196C2412yes—
914#11758196C2412yes—
915#11758196C2412yes—
916#11758196C2414yes—
917#11758196C2414yes—
918#11758196C2414yes—
919#11758196C2412yes—
920#11758196C2412yes—
921#11758196C2414yes—
922#11758196C2414yes—
923#11758196C2414yes—
924#11758196C2414yes—
925#11758196C2414yes—
926#11758196C2414yes—
927#11758196C2414yes—
928#11758196C2414yes—
929C4×Dic61C2412yes—
930C4×Dic61C2414yes—
931C4×Dic61C2412yes—
932C4×Dic61C2414yes—
933C4×Dic61C2414yes—
934C4×Dic61C2411yescharacteristic
935C4×Dic61C2411yescharacteristic
936C4×Dic61C2414yes—
937C4×Dic61C2414yes—
938C4×Dic61C2414yes—
939C4×Dic61C2414yes—
940C4×Dic61C2414yes—
941C23×C61—41no—
942C23×C61—42no—
943C23×C61C2512yes—
944C23×C61C2511yescharacteristic
945C23×C61C2514yes—
946C23×C61C2512yes—
947C22×D61—24no—
948C22×D61—22no—
949C22×D61—24no—
950C22×D61—24no—
951C22×D61—24no—
952C22×D61—24no—
953C22×D61—28no—
954C22×D61—41no—
955C22×D61—42no—
956C22×D61—42no—
957C22×D61—42no—
958C22×D61—42no—
959C22×D61—44no—
960C22×D61—44no—
961C22×D61—44no—
962C22×D61—44no—
963C22×D61—42no—
964C22×D61—42no—
965C22×D61—44no—
966C22×D61—416no—
967C22×D61C2512yes—
968C22×D61C2511yescharacteristic
969C22×D61C2514yes—
970C22×D61C2511yescharacteristic
971C22×D61C2512yes—
972Q8×C61—24no—
973Q8×C61—41no—
974D4×C61—24no—
975D4×C61—44no—
976D4×C61—44no—
977D4×C61—42no—
978D4×C61—41no—
979D4×C61—44no—
980D4×C61—44no—
981D4×C61—44no—
982D4×C61—42no—
983D4×C61—42no—
984D4×C61—44no—
985C2×C4×C61—22no—
986C2×C4×C61—24no—
987C2×C4×C61—24no—
988C2×C4×C61—42no—
989C2×C4×C61—41no—
990C2×C4×C61—44no—
991C2×C4×C61—44no—
992C2×C4×C61—44no—
993C2×C4×C61—44no—
994C2×C4×C61C2512yes—
995C2×C4×C61C2514yes—
996C2×C4×C61C2512yes—
997C2×C4×C61C2514yes—
998C2×C4×C61C2512yes—
999C2×C4×C61C2514yes—
1000C2×C4×C61C2511yescharacteristic
1001C2×C4×C61C2512yes—
1002C2×C4×C61C2511yescharacteristic
1003C22⋊D61—28no—
1004C22⋊D61—24no—
1005C22⋊D61—28no—
1006C22⋊D61—24no—
1007C22⋊D61—44no—
1008C22⋊D61—44no—
1009C22⋊D61—42no—
1010C22⋊D61—42no—
1011C22⋊D61—44no—
1012C22⋊D61—42no—
1013C22⋊D61—44no—
1014C22⋊D61—44no—
1015C22⋊D61—42no—
1016C22⋊D61—42no—
1017C22⋊D61—44no—
1018C22⋊D61—44no—
1019C22⋊D61—44no—
1020C22⋊D61—44no—
1021C2×Dic61—24no—
1022C2×Dic61—22no—
1023C2×Dic61—24no—
1024C2×Dic61—28no—
1025C2×Dic61—41no—
1026C2×Dic61—42no—
1027C2×Dic61—44no—
1028C2×Dic61—44no—
1029C2×Dic61C2514yes—
1030C2×Dic61C2514yes—
1031C2×Dic61C2512yes—
1032C2×Dic61C2512yes—
1033C2×Dic61C2512yes—
1034C2×Dic61C2514yes—
1035C2×Dic61C2512yes—
1036C2×Dic61C2511yescharacteristic
1037C2×Dic61C2511yescharacteristic
1038D244—28no—
1039D244—24no—
1040D244—28no—
1041D244—24no—
1042D244—24no—
1043D244—44no—
1044D244—44no—
1045D244—42no—
1046D244—41no—
1047D244—44no—
1048C4×D61—24no—
1049C4×D61—22no—
1050C4×D61—24no—
1051C4×D61—28no—
1052C4×D61—22no—
1053C4×D61—24no—
1054C4×D61—24no—
1055C4×D61—24no—
1056C4×D61—22no—
1057C4×D61—24no—
1058C4×D61—28no—
1059C4×D61—42no—
1060C4×D61—42no—
1061C4×D61—42no—
1062C4×D61—44no—
1063C4×D61—44no—
1064C4×D61—44no—
1065C4×D61—44no—
1066C4×D61—44no—
1067C4×D61—42no—
1068C4×D61—42no—
1069C4×D61—44no—
1070C4×D61—44no—
1071C4×D61H(5,𝔽2)14yes—
1072Dic122—24no—
1073Dic122—44no—
1074Dic122—44no—
1075Dic122—44no—
1076Dic122—41no—
1077Dic122—42no—
1078Dic122—44no—
1079#62729—611nomaximal, Sylow
1080C22×C61—22no—
1081C22×C61—21no—
1082C22×C61—24no—
1083C22×C61—22no—
1084C22×C61—22no—
1085C22×C61—24no—
1086C22×C61—22no—
1087C22×C61—24no—
1088C22×C61—22no—
1089C22×C61—22no—
1090C22×C61—22no—
1091C22×C61—44no—
1092C22×C61C2611yescharacteristic
1093C2×D61—22no—
1094C2×D61—22no—
1095C2×D61—22no—
1096C2×D61—21no—
1097C2×D61—22no—
1098C2×D61—24no—
1099C2×D61—24no—
1100C2×D61—24no—
1101C2×D61—22no—
1102C2×D61—22no—
1103C2×D61—22no—
1104C2×D61—48no—
1105C2×D61—44no—
1106C2×D61—44no—
1107C2×D61—48no—
1108C2×D61—84no—
1109C2×D61—88no—
1110C2×D61—88no—
1111C2×D61C2×H(5,𝔽2)12yes—
1112C2×D61#58514yes—
1113C4×C61—24no—
1114C4×C61—21no—
1115C4×C61—22no—
1116C4×C61—22no—
1117C4×C61—24no—
1118C4×C61—24no—
1119C4×C61—22no—
1120C4×C61—22no—
1121C4×C61C2×H(5,𝔽2)12yes—
1122Dic61—24no—
1123Dic61—22no—
1124Dic61—22no—
1125Dic61—21no—
1126Dic61—22no—
1127Dic61—22no—
1128Dic61—24no—
1129Dic61—24no—
1130Dic61C2×H(5,𝔽2)12yes—
1131#3542—612no—
1132#3542—612no—
1133#3541—612no—
1134#3541—612no—
1135#3540—612no—
1136#3539—611no—
1137#3539D6111yescharacteristic, complemented
1138#3538—611no—
1139#3537—611no—
1140#3536—612no—
1141#3535—614no—
1142#3534—614no—
1143#3533—614no—
1144#3532—614no—
1145#3529—614no—
1146#3481—614no—
1147#3475—612no—
1148#3475—612no—
1149D4×#41—612no—
1150D4×#41—612no—
1151#3460—614no—
1152#3459—614no—
1153#3455—611no—
1154#3455—611no—
1155#3449—612no—
1156C2×#525—611no—
1157C2×#525—612no—
1158C2×C61—42no—
1159C2×C61—41no—
1160C2×C61—44no—
1161C2×C61—42no—
1162C2×C61C22×H(5,𝔽2)11yescharacteristic
1163C2×C61C2×#58512yes—
1164D61—22no—
1165D61—24no—
1166D61—41no—
1167D61—44no—
1168D61—42no—
1169C22×#41—611no—
1170C22×#41—612no—
1171C22×#41—612no—
1172C24×C4—611no—
1173#563—614no—
1174#563—614no—
1175#563—614no—
1176#562—614no—
1177#562—614no—
1178#562—614no—
1179#562—614no—
1180#562—614no—
1181#562—614no—
1182H(3,𝔽4)—614no—
1183#560—614no—
1184#560—614no—
1185#560—614no—
1186#560—614no—
1187#560—614no—
1188#560C2×D6114yescomplemented
1189#559—614no—
1190#556—612no—
1191#556—612no—
1192#555—612no—
1193#555—612no—
1194#554—614no—
1195#554—612no—
1196#554—612no—
1197#554—614no—
1198#553—612no—
1199#553—614no—
1200#553—614no—
1201#553—612no—
1202#553—612no—
1203#553—614no—
1204#553C2×D6112yescomplemented
1205#553C2×D6114yescomplemented
1206#552—614no—
1207#552—612no—
1208#552—614no—
1209#552—612no—
1210#552—612no—
1211#552C2×D6112yescomplemented
1212#551—614no—
1213#551—614no—
1214#551—614no—
1215#551—614no—
1216#551—614no—
1217#551—614no—
1218#551—614no—
1219#551—614no—
1220#550—612no—
1221#550C2×D6112yescomplemented
1222D4×Q8—612no—
1223D4×Q8—612no—
1224#548—612no—
1225#548—612no—
1226#548—612no—
1227#548—612no—
1228#547—612no—
1229#547—612no—
1230#547—614no—
1231#547—614no—
1232#547—612no—
1233#547C2×D6112yescomplemented
1234#546—612no—
1235#546—612no—
1236#546—614no—
1237#546—614no—
1238#546—614no—
1239#546—614no—
1240#546—612no—
1241#546—614no—
1242#546—614no—
1243#546—614no—
1244#546—614no—
1245#546—612no—
1246#546—614no—
1247#546—614no—
1248D42—614no—
1249D42—612no—
1250D42—614no—
1251D42—614no—
1252D42—612no—
1253#544—614no—
1254#543—614no—
1255#542—614no—
1256#542—614no—
1257#542—612no—
1258#542—612no—
1259#542—612no—
1260#542—614no—
1261#542—612no—
1262#542—614no—
1263#541—611no—
1264#541—611no—
1265#541—611no—
1266#541C2×D6111yescharacteristic, complemented
1267#540—611no—
1268#540—611no—
1269#540—614no—
1270#540—614no—
1271#540—614no—
1272#540—611no—
1273#540C2×D6111yescharacteristic, complemented
1274#540C2×D6114yescomplemented
1275#539—614no—
1276#539—614no—
1277#539—614no—
1278#539—614no—
1279#539—614no—
1280#539—614no—
1281#539—614no—
1282#539C2×D6114yescomplemented
1283#538—614no—
1284#538—614no—
1285#538—614no—
1286#538—614no—
1287#538—614no—
1288#538—614no—
1289#538—614no—
1290#538—614no—
1291#538—614no—
1292#538—614no—
1293#538—614no—
1294#538—614no—
1295#537—612no—
1296#537—612no—
1297#537—614no—
1298#537—612no—
1299#537C2×D6112yescomplemented
1300#536—612no—
1301#536—614no—
1302#536—612no—
1303#535—614no—
1304#535—614no—
1305#535—612no—
1306#535—614no—
1307#535—612no—
1308#534—614no—
1309#534—614no—
1310#534—614no—
1311#534—614no—
1312#534—614no—
1313#533—611no—
1314#533—611no—
1315#532—611no—
1316#532—614no—
1317#532—611no—
1318#532—614no—
1319#532—614no—
1320#532—614no—
1321#529—614no—
1322#529—614no—
1323#529—614no—
1324#529—614no—
1325#529—614no—
1326#529—614no—
1327#529—614no—
1328#529—614no—
1329#529—614no—
1330#529—614no—
1331#525—611no—
1332#525—612no—
1333#525—612no—
1334#525—611no—
1335#525—614no—
1336#525—612no—
1337#525—614no—
1338#525—614no—
1339#525—612no—
1340#525—612no—
1341#525—612no—
1342#525—614no—
1343#525—612no—
1344#525—612no—
1345#525—612no—
1346#525—612no—
1347#525—614no—
1348#525—614no—
1349#525—612no—
1350#525—614no—
1351#525—614no—
1352#525—612no—
1353#525—614no—
1354#525—614no—
1355#525—612no—
1356#525—612no—
1357#525—611no—
1358#525—612no—
1359#525C2×D6111yescharacteristic, complemented
1360#525C2×D6112yescomplemented
1361C2×#123—612no—
1362C2×#123—614no—
1363C2×C22⋊Q8—612no—
1364C2×C22⋊Q8—612no—
1365C2×C22⋊Q8—612no—
1366C2×#121—612no—
1367C2×#121—612no—
1368C2×#121—612no—
1369C2×#120—612no—
1370C2×#120—614no—
1371C4×#41—612no—
1372C4×#41—612no—
1373C4×#41—614no—
1374C4×#41—614no—
1375C2×C4×D4—614no—
1376C2×C4×D4—612no—
1377C2×C4×D4—612no—
1378C2×C4×D4—614no—
1379C2×C4×D4—614no—
1380C2×C4×D4—614no—
1381C2×#117—611no—
1382C2×#117—612no—
1383C2×#117—612no—
1384C61#6272911yescharacteristic, complemented, Sylow
1385C25—611no—
1386C2×#41—612no—
1387C2×#41—611no—
1388C2×#41—612no—
1389C2×#41—614no—
1390C2×#41—612no—
1391C2×#41—614no—
1392C2×#41—611no—
1393C2×#41—614no—
1394C2×#41—614no—
1395C2×#41—611no—
1396C2×#41—612no—
1397C2×#41—614no—
1398C2×#41—612no—
1399C2×#41—614no—
1400C2×#41—612no—
1401C2×#41—2444no—
1402C2×#41—2448no—
1403C2×#41—2448no—
1404C2×#41C22×D6111yescharacteristic
1405C2×#41C22×D6112yes—
1406C2×#41C22×D6112yescomplemented
1407C22×Q8—611no—
1408C22×Q8—612no—
1409C22×Q8—612no—
1410C22×D4—614no—
1411C22×D4—612no—
1412C22×D4—612no—
1413C22×D4—614no—
1414C22×D4—614no—
1415C22×D4—612no—
1416C22×D4—614no—
1417C22×D4—611no—
1418C22×D4—612no—
1419C22×D4—614no—
1420C22×D4—612no—
1421C22×D4—614no—
1422C23×C4—611no—
1423C23×C4—612no—
1424C23×C4—612no—
1425C23×C4—611no—
1426C23×C4—611no—
1427C23×C4—614no—
1428C23×C4—612no—
1429C23×C4—614no—
1430C23×C4—611no—
1431C23×C4—612no—
1432C23×C4—612no—
1433C23×C4—611no—
1434C23×C4—2444no—
1435C23×C4C22×D6111yescharacteristic
1436C4⋊Q8—614no—
1437C4⋊Q8—614no—
1438C4⋊Q8—614no—
1439C4⋊Q8—612no—
1440C4⋊Q8—612no—
1441C4⋊Q8—611no—
1442C4⋊Q8—614no—
1443C4⋊Q8C22×D6111yescharacteristic, complemented
1444#127—614no—
1445#127—614no—
1446#127—614no—
1447#127—611no—
1448#127C22×D6114yes—
1449#127C22×D6111yescharacteristic, complemented
1450#126—614no—
1451#126—614no—
1452#126—614no—
1453#126—614no—
1454#126—614no—
1455#126—614no—
1456#126—614no—
1457#126—614no—
1458#126—614no—
1459#126—614no—
1460#126—614no—
1461#126—614no—
1462#126—614no—
1463#126—614no—
1464#126—614no—
1465#126—614no—
1466#126—614no—
1467#126C22×D6114yes—
1468#126C22×D6114yes—
1469#126C22×D6114yescomplemented
1470#125—614no—
1471#125—614no—
1472#125—614no—
1473#125—614no—
1474#125—614no—
1475#125—614no—
1476#125—614no—
1477#125—614no—
1478#125—611no—
1479#125—611no—
1480#125C22×D6114yescomplemented
1481#125C22×D6114yescomplemented
1482#125C22×D6111yescharacteristic, complemented
1483#125C22×D6111yescharacteristic, complemented
1484#124—612no—
1485#124—614no—
1486#124—614no—
1487#124—614no—
1488#124—614no—
1489#124—612no—
1490#124—614no—
1491#124—614no—
1492#124—614no—
1493#124—614no—
1494#124—614no—
1495#124—614no—
1496#124—614no—
1497#124—614no—
1498#124—614no—
1499#124—614no—
1500#124—614no—
1501#124—614no—
1502#124—614no—
1503#124—614no—
1504#123—614no—
1505#123—612no—
1506#123—614no—
1507#123—614no—
1508#123—614no—
1509#123—614no—
1510#123—614no—
1511#123—612no—
1512#123—614no—
1513#123—614no—
1514#123—614no—
1515#123—614no—
1516#123—614no—
1517#123—614no—
1518#123—612no—
1519#123—612no—
1520#123—614no—
1521#123—614no—
1522#123—614no—
1523#123—614no—
1524#123—614no—
1525#123—614no—
1526#123—614no—
1527#123—614no—
1528#123—614no—
1529#123—614no—
1530#123—614no—
1531#123—614no—
1532#123—612no—
1533#123—612no—
1534#123—614no—
1535#123—612no—
1536#123—614no—
1537#123—614no—
1538#123—614no—
1539#123—614no—
1540#123—614no—
1541#123—614no—
1542#123—614no—
1543#123—614no—
1544#123—614no—
1545#123—614no—
1546#123—614no—
1547#123C22×D6114yes—
1548#123C22×D6112yes—
1549#123C22×D6114yes—
1550#123C22×D6114yes—
1551#123C22×D6114yes—
1552#123C22×D6114yescomplemented
1553#123C22×D6114yescomplemented
1554C22⋊Q8—612no—
1555C22⋊Q8—612no—
1556C22⋊Q8—612no—
1557C22⋊Q8—614no—
1558C22⋊Q8—612no—
1559C22⋊Q8—612no—
1560C22⋊Q8—612no—
1561C22⋊Q8—612no—
1562C22⋊Q8—612no—
1563C22⋊Q8—614no—
1564C22⋊Q8—614no—
1565C22⋊Q8—614no—
1566C22⋊Q8—614no—
1567C22⋊Q8—614no—
1568C22⋊Q8—612no—
1569C22⋊Q8—612no—
1570C22⋊Q8—614no—
1571C22⋊Q8—614no—
1572C22⋊Q8—612no—
1573C22⋊Q8—612no—
1574C22⋊Q8—612no—
1575C22⋊Q8—612no—
1576C22⋊Q8—614no—
1577C22⋊Q8—614no—
1578C22⋊Q8—614no—
1579C22⋊Q8—614no—
1580C22⋊Q8—614no—
1581C22⋊Q8—614no—
1582C22⋊Q8—614no—
1583C22⋊Q8—614no—
1584C22⋊Q8—614no—
1585C22⋊Q8—614no—
1586C22⋊Q8—614no—
1587C22⋊Q8—614no—
1588C22⋊Q8—614no—
1589C22⋊Q8—614no—
1590C22⋊Q8—614no—
1591C22⋊Q8—614no—
1592C22⋊Q8—612no—
1593C22⋊Q8—612no—
1594C22⋊Q8—614no—
1595C22⋊Q8—614no—
1596C22⋊Q8—614no—
1597C22⋊Q8C22×D6112yes—
1598C22⋊Q8C22×D6112yes—
1599C22⋊Q8C22×D6112yes—
1600C22⋊Q8C22×D6114yescomplemented
1601C22⋊Q8C22×D6112yescomplemented
1602#121—612no—
1603#121—612no—
1604#121—612no—
1605#121—614no—
1606#121—614no—
1607#121—612no—
1608#121—612no—
1609#121—612no—
1610#121—614no—
1611#121—614no—
1612#121—614no—
1613#121—614no—
1614#121—614no—
1615#121—614no—
1616#121—614no—
1617#121—614no—
1618#121—614no—
1619#121—614no—
1620#121—614no—
1621#121—614no—
1622#121—614no—
1623#121—614no—
1624#121—614no—
1625#121—614no—
1626#121—614no—
1627#121—612no—
1628#121—612no—
1629#121—612no—
1630#121—614no—
1631#121—612no—
1632#121—614no—
1633#121—614no—
1634#121—614no—
1635#121—612no—
1636#121—612no—
1637#121—612no—
1638#121—614no—
1639#121—612no—
1640#121—614no—
1641#121—614no—
1642#121—614no—
1643#121—614no—
1644#121—614no—
1645#121—612no—
1646#121—612no—
1647#121—614no—
1648#121—614no—
1649#121—614no—
1650#121—614no—
1651#121—614no—
1652#121—614no—
1653#121—614no—
1654#121C22×D6112yes—
1655#121C22×D6112yes—
1656#121C22×D6112yes—
1657#121C22×D6114yes—
1658#121C22×D6114yes—
1659#121C22×D6114yes—
1660#121C22×D6114yes—
1661#121C22×D6114yes—
1662#121C22×D6114yes—
1663#121C22×D6112yescomplemented
1664#121C22×D6114yescomplemented
1665#121C22×D6114yescomplemented
1666#120—614no—
1667#120—612no—
1668#120—614no—
1669#120—614no—
1670#120—612no—
1671#120—612no—
1672#120—614no—
1673#120—612no—
1674#120—614no—
1675#120—614no—
1676#120—614no—
1677#120—614no—
1678#120—614no—
1679#120—614no—
1680#120—614no—
1681#120—614no—
1682#120—614no—
1683#120—612no—
1684#120—612no—
1685#120—614no—
1686#120—614no—
1687#120—612no—
1688#120—614no—
1689#120—614no—
1690#120—614no—
1691#120—614no—
1692#120—614no—
1693#120—614no—
1694#120C22×D6112yes—
1695#120C22×D6114yes—
1696C4×Q8—612no—
1697C4×Q8—614no—
1698C4×Q8—614no—
1699C4×Q8—612no—
1700C4×Q8—614no—
1701C4×Q8—612no—
1702C4×Q8—614no—
1703C4×Q8C22×D6112yescomplemented
1704C4×D4—614no—
1705C4×D4—614no—
1706C4×D4—612no—
1707C4×D4—612no—
1708C4×D4—614no—
1709C4×D4—614no—
1710C4×D4—612no—
1711C4×D4—614no—
1712C4×D4—614no—
1713C4×D4—612no—
1714C4×D4—612no—
1715C4×D4—612no—
1716C4×D4—612no—
1717C4×D4—614no—
1718C4×D4—614no—
1719C4×D4—614no—
1720C4×D4—614no—
1721C4×D4—614no—
1722C4×D4—614no—
1723C4×D4—614no—
1724C4×D4—612no—
1725C4×D4—612no—
1726C4×D4—614no—
1727C4×D4—614no—
1728C4×D4—614no—
1729C4×D4—614no—
1730C4×D4—614no—
1731C4×D4—614no—
1732C4×D4—614no—
1733C4×D4—614no—
1734C4×D4—614no—
1735C4×D4—614no—
1736C4×D4—612no—
1737C4×D4—614no—
1738C4×D4—612no—
1739C4×D4—612no—
1740C4×D4—612no—
1741C4×D4—612no—
1742C4×D4—614no—
1743C4×D4—614no—
1744C4×D4—614no—
1745C4×D4—614no—
1746C4×D4—614no—
1747C4×D4—614no—
1748C4×D4—614no—
1749C4×D4—614no—
1750C4×D4—614no—
1751C4×D4—612no—
1752C4×D4—612no—
1753C4×D4—614no—
1754C4×D4—614no—
1755C4×D4—614no—
1756C4×D4—612no—
1757C4×D4C22×D6114yes—
1758C4×D4C22×D6112yes—
1759C4×D4C22×D6112yes—
1760C4×D4C22×D6114yes—
1761C4×D4C22×D6114yescomplemented
1762C4×D4C22×D6114yescomplemented
1763C4×D4C22×D6112yescomplemented
1764#117—611no—
1765#117—612no—
1766#117—612no—
1767#117—612no—
1768#117—612no—
1769#117—614no—
1770#117—614no—
1771#117—612no—
1772#117—612no—
1773#117—614no—
1774#117—614no—
1775#117—614no—
1776#117—612no—
1777#117—614no—
1778#117—614no—
1779#117—614no—
1780#117—611no—
1781#117—611no—
1782#117—614no—
1783#117—614no—
1784#117—614no—
1785#117C22×D6111yescharacteristic
1786#117C22×D6112yes—
1787#117C22×D6114yescomplemented
1788C2×C4⋊C4—612no—
1789C2×C4⋊C4—612no—
1790C2×C4⋊C4—612no—
1791C2×C4⋊C4—612no—
1792C2×C4⋊C4—614no—
1793C2×C4⋊C4—612no—
1794C2×C4⋊C4—612no—
1795C2×C4⋊C4—614no—
1796C2×C4⋊C4—614no—
1797C2×C4⋊C4C22×D6112yescomplemented
1798C2×C4⋊C4C22×D6114yescomplemented
1799C2×C22⋊C4—614no—
1800C2×C22⋊C4—614no—
1801C2×C22⋊C4—614no—
1802C2×C22⋊C4—612no—
1803C2×C22⋊C4—614no—
1804C2×C22⋊C4—614no—
1805C2×C22⋊C4—614no—
1806C2×C22⋊C4—612no—
1807C2×C22⋊C4—612no—
1808C2×C22⋊C4—614no—
1809C2×C22⋊C4—614no—
1810C2×C22⋊C4—612no—
1811C2×C22⋊C4—612no—
1812C2×C22⋊C4—614no—
1813C2×C22⋊C4—614no—
1814C2×C42—614no—
1815C2×C42—614no—
1816C2×C42—614no—
1817C2×C42—611no—
1818C2×C42—611no—
1819C2×C42—614no—
1820C24—612no—
1821C24—611no—
1822C24—612no—
1823C24—614no—
1824C24—611no—
1825C24—612no—
1826C24—614no—
1827C24—2442no—
1828C24—2444no—
1829C24C23×D6111yescharacteristic
1830#41—42no—
1831#41—44no—
1832#41—44no—
1833#41—1228no—
1834#41—1228no—
1835#41—2442no—
1836#41—2444no—
1837#41—2444no—
1838#41—2444no—
1839#41—2448no—
1840#41—2448no—
1841#41—2448no—
1842#41—2444no—
1843#41—2442no—
1844#41—2448no—
1845#41—2448no—
1846#41—2442no—
1847#41—2448no—
1848C2×Q8—612no—
1849C2×Q8—614no—
1850C2×Q8—614no—
1851C2×Q8—612no—
1852C2×Q8—614no—
1853C2×Q8—611no—
1854C2×Q8—614no—
1855C2×Q8—2442no—
1856C2×Q8—2444no—
1857C2×Q8—2444no—
1858C2×Q8C23×D6112yes—
1859C2×Q8C23×D6111yescharacteristic
1860C2×D4—612no—
1861C2×D4—612no—
1862C2×D4—614no—
1863C2×D4—614no—
1864C2×D4—612no—
1865C2×D4—612no—
1866C2×D4—614no—
1867C2×D4—614no—
1868C2×D4—614no—
1869C2×D4—614no—
1870C2×D4—614no—
1871C2×D4—612no—
1872C2×D4—614no—
1873C2×D4—612no—
1874C2×D4—614no—
1875C2×D4—612no—
1876C2×D4—614no—
1877C2×D4—614no—
1878C2×D4—614no—
1879C2×D4—612no—
1880C2×D4—612no—
1881C2×D4—614no—
1882C2×D4—612no—
1883C2×D4—614no—
1884C2×D4—614no—
1885C2×D4—614no—
1886C2×D4—612no—
1887C2×D4—611no—
1888C2×D4—2448no—
1889C2×D4—2444no—
1890C2×D4—2444no—
1891C2×D4—2442no—
1892C2×D4—2444no—
1893C2×D4—2448no—
1894C2×D4—2448no—
1895C2×D4—2448no—
1896C2×D4—2448no—
1897C2×D4—2444no—
1898C2×D4—2444no—
1899C2×D4—2448no—
1900C2×D4C23×D6112yes—
1901C2×D4C23×D6114yes—
1902C2×D4C23×D6114yes—
1903C2×D4C23×D6112yes—
1904C2×D4C23×D6112yes—
1905C2×D4C23×D6114yes—
1906C2×D4C23×D6114yes—
1907C2×D4C23×D6114yes—
1908C2×D4C23×D6112yes—
1909C2×D4C23×D6114yes—
1910C2×D4C23×D6111yescharacteristic
1911C22×C4—42no—
1912C22×C4—611no—
1913C22×C4—612no—
1914C22×C4—614no—
1915C22×C4—611no—
1916C22×C4—612no—
1917C22×C4—614no—
1918C22×C4—614no—
1919C22×C4—612no—
1920C22×C4—611no—
1921C22×C4—612no—
1922C22×C4—614no—
1923C22×C4—614no—
1924C22×C4—612no—
1925C22×C4—612no—
1926C22×C4—612no—
1927C22×C4—611no—
1928C22×C4—611no—
1929C22×C4—612no—
1930C22×C4—612no—
1931C22×C4—611no—
1932C22×C4—612no—
1933C22×C4—612no—
1934C22×C4—614no—
1935C22×C4—614no—
1936C22×C4—614no—
1937C22×C4—612no—
1938C22×C4—614no—
1939C22×C4—612no—
1940C22×C4—614no—
1941C22×C4—614no—
1942C22×C4—612no—
1943C22×C4—614no—
1944C22×C4—1228no—
1945C22×C4—1224no—
1946C22×C4—1228no—
1947C22×C4—2442no—
1948C22×C4—2444no—
1949C22×C4—2442no—
1950C22×C4—2444no—
1951C22×C4—2448no—
1952C22×C4—2448no—
1953C22×C4—2444no—
1954C22×C4—2442no—
1955C22×C4—2442no—
1956C22×C4C23×D6112yes—
1957C22×C4C23×D6112yes—
1958C22×C4C23×D6111yescharacteristic
1959C22×C4C23×D6114yes—
1960C22×C4C23×D6114yes—
1961C22×C4C23×D6114yes—
1962C22×C4C23×D6114yes—
1963C22×C4C23×D6111yescharacteristic
1964C22×C4C23×D6112yes—
1965C4⋊C4—614no—
1966C4⋊C4—612no—
1967C4⋊C4—612no—
1968C4⋊C4—612no—
1969C4⋊C4—612no—
1970C4⋊C4—612no—
1971C4⋊C4—612no—
1972C4⋊C4—614no—
1973C4⋊C4—614no—
1974C4⋊C4—614no—
1975C4⋊C4—614no—
1976C4⋊C4—614no—
1977C4⋊C4—614no—
1978C4⋊C4—612no—
1979C4⋊C4—612no—
1980C4⋊C4—612no—
1981C4⋊C4—614no—
1982C4⋊C4—612no—
1983C4⋊C4—612no—
1984C4⋊C4—614no—
1985C4⋊C4—614no—
1986C4⋊C4—614no—
1987C4⋊C4—614no—
1988C4⋊C4—614no—
1989C4⋊C4—614no—
1990C4⋊C4—614no—
1991C4⋊C4—614no—
1992C4⋊C4—614no—
1993C4⋊C4—614no—
1994C4⋊C4—614no—
1995C4⋊C4—614no—
1996C4⋊C4C23×D6112yes—
1997C4⋊C4C23×D6112yes—
1998C4⋊C4C23×D6112yes—
1999C4⋊C4C23×D6112yes—
2000C4⋊C4C23×D6114yes—
2001C4⋊C4C23×D6112yes—
2002C4⋊C4C23×D6114yes—
2003C4⋊C4C23×D6114yes—
2004C4⋊C4C23×D6114yes—
2005C4⋊C4C23×D6114yes—
2006C4⋊C4C23×D6114yes—
2007C4⋊C4C23×D6114yes—
2008C4⋊C4C23×D6114yes—
2009C22⋊C4—614no—
2010C22⋊C4—612no—
2011C22⋊C4—614no—
2012C22⋊C4—614no—
2013C22⋊C4—612no—
2014C22⋊C4—612no—
2015C22⋊C4—614no—
2016C22⋊C4—614no—
2017C22⋊C4—614no—
2018C22⋊C4—614no—
2019C22⋊C4—612no—
2020C22⋊C4—612no—
2021C22⋊C4—614no—
2022C22⋊C4—614no—
2023C22⋊C4—614no—
2024C22⋊C4—612no—
2025C22⋊C4—612no—
2026C22⋊C4—612no—
2027C22⋊C4—612no—
2028C22⋊C4—614no—
2029C22⋊C4—614no—
2030C22⋊C4—614no—
2031C22⋊C4—614no—
2032C22⋊C4—614no—
2033C22⋊C4—612no—
2034C22⋊C4—612no—
2035C22⋊C4—612no—
2036C22⋊C4—612no—
2037C22⋊C4—614no—
2038C22⋊C4—614no—
2039C22⋊C4—612no—
2040C22⋊C4—612no—
2041C22⋊C4—614no—
2042C22⋊C4—614no—
2043C22⋊C4—614no—
2044C22⋊C4—614no—
2045C22⋊C4—614no—
2046C22⋊C4—614no—
2047C22⋊C4—614no—
2048C22⋊C4—614no—
2049C22⋊C4—614no—
2050C22⋊C4—614no—
2051C22⋊C4—614no—
2052C22⋊C4—614no—
2053C22⋊C4—614no—
2054C22⋊C4C23×D6114yes—
2055C22⋊C4C23×D6112yes—
2056C22⋊C4C23×D6112yes—
2057C22⋊C4C23×D6114yes—
2058C22⋊C4C23×D6112yes—
2059C22⋊C4C23×D6112yes—
2060C22⋊C4C23×D6114yes—
2061C22⋊C4C23×D6112yes—
2062C22⋊C4C23×D6114yes—
2063C22⋊C4C23×D6114yes—
2064C22⋊C4C23×D6114yes—
2065C22⋊C4C23×D6114yes—
2066C22⋊C4C23×D6114yes—
2067C42—612no—
2068C42—612no—
2069C42—614no—
2070C42—614no—
2071C42—614no—
2072C42—614no—
2073C42—611no—
2074C42—611no—
2075C42—614no—
2076C42—614no—
2077C42—614no—
2078C42—614no—
2079C42C23×D6114yes—
2080C42C23×D6111yescharacteristic
2081C42C23×D6111yescharacteristic
2082C42C23×D6114yes—
2083C23—41no—
2084C23—42no—
2085C23—611no—
2086C23—612no—
2087C23—612no—
2088C23—611no—
2089C23—614no—
2090C23—1224no—
2091C23—1228no—
2092C23—1224no—
2093C23—1222no—
2094C23—1224no—
2095C23—1224no—
2096C23—1224no—
2097C23—2444no—
2098C23—2444no—
2099C23—2442no—
2100C23—2444no—
2101C23—2442no—
2102C23—2444no—
2103C23—2444no—
2104C23—2441no—
2105C23—2442no—
2106C23—2442no—
2107C23—2442no—
2108C23—2442no—
2109C23—24416no—
2110C23C24×D6112yes—
2111C23C24×D6111yescharacteristic
2112C23C24×D6114yes—
2113C23C24×D6112yes—
2114Q8—24no—
2115Q8—41no—
2116Q8—1224no—
2117Q8—2442no—
2118Q8—2441no—
2119Q8—2444no—
2120Q8—2444no—
2121Q8—2444no—
2122Q8—2444no—
2123D4—24no—
2124D4—42no—
2125D4—44no—
2126D4—44no—
2127D4—42no—
2128D4—44no—
2129D4—42no—
2130D4—41no—
2131D4—44no—
2132D4—44no—
2133D4—44no—
2134D4—1224no—
2135D4—1224no—
2136D4—1228no—
2137D4—1228no—
2138D4—1228no—
2139D4—1228no—
2140D4—1224no—
2141D4—1224no—
2142D4—1224no—
2143D4—2444no—
2144D4—2444no—
2145D4—2444no—
2146D4—2441no—
2147D4—2442no—
2148D4—2444no—
2149D4—2444no—
2150D4—2444no—
2151D4—2444no—
2152D4—2442no—
2153D4—2442no—
2154D4—2442no—
2155D4—2444no—
2156D4—2442no—
2157D4—2442no—
2158D4—2444no—
2159D4—2444no—
2160D4—2444no—
2161D4—2444no—
2162C2×C4—24no—
2163C2×C4—22no—
2164C2×C4—24no—
2165C2×C4—41no—
2166C2×C4—42no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—44no—
2171C2×C4—611no—
2172C2×C4—614no—
2173C2×C4—612no—
2174C2×C4—612no—
2175C2×C4—614no—
2176C2×C4—614no—
2177C2×C4—612no—
2178C2×C4—614no—
2179C2×C4—611no—
2180C2×C4—612no—
2181C2×C4—1224no—
2182C2×C4—1222no—
2183C2×C4—1224no—
2184C2×C4—1228no—
2185C2×C4—1222no—
2186C2×C4—1224no—
2187C2×C4—1224no—
2188C2×C4—1228no—
2189C2×C4—1222no—
2190C2×C4—1224no—
2191C2×C4—1224no—
2192C2×C4—1228no—
2193C2×C4—1224no—
2194C2×C4—1222no—
2195C2×C4—1224no—
2196C2×C4—2442no—
2197C2×C4—2442no—
2198C2×C4—2442no—
2199C2×C4—2444no—
2200C2×C4—2444no—
2201C2×C4—2444no—
2202C2×C4—2444no—
2203C2×C4—2442no—
2204C2×C4—2444no—
2205C2×C4—2444no—
2206C2×C4—2442no—
2207C2×C4—2444no—
2208C2×C4—2442no—
2209C2×C4—2441no—
2210C2×C4—2444no—
2211C2×C4—2444no—
2212C2×C4C24×D6114yes—
2213C2×C4C24×D6112yes—
2214C2×C4C24×D6114yes—
2215C2×C4C24×D6112yes—
2216C2×C4C24×D6112yes—
2217C2×C4C24×D6114yes—
2218C2×C4C24×D6112yes—
2219C2×C4C24×D6111yescharacteristic
2220C2×C4C24×D6111yescharacteristic
2221C22—22no—
2222C22—21no—
2223C22—22no—
2224C22—24no—
2225C22—22no—
2226C22—24no—
2227C22—22no—
2228C22—24no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—44no—
2233C22—612no—
2234C22—614no—
2235C22—1222no—
2236C22—1222no—
2237C22—1222no—
2238C22—1222no—
2239C22—1221no—
2240C22—1224no—
2241C22—1224no—
2242C22—1224no—
2243C22—1222no—
2244C22—1222no—
2245C22—1222no—
2246C22—4888no—
2247C22—4884no—
2248C22—4888no—
2249C22—2448no—
2250C22—2444no—
2251C22—2444no—
2252C22—2448no—
2253C22C25×D6111yescharacteristic
2254C4—22no—
2255C4—21no—
2256C4—22no—
2257C4—24no—
2258C4—22no—
2259C4—24no—
2260C4—24no—
2261C4—22no—
2262C4—612no—
2263C4—1221no—
2264C4—1222no—
2265C4—1222no—
2266C4—1224no—
2267C4—1224no—
2268C4—1224no—
2269C4—1222no—
2270C4—1222no—
2271C4H(5,𝔽2)×D6112yes—
2272C2—42no—
2273C2—41no—
2274C2—44no—
2275C2—42no—
2276C2—1222no—
2277C2—1224no—
2278C2—2442no—
2279C2—2444no—
2280C2—2441no—
2281C2C2×H(5,𝔽2)×D6111yescharacteristic
2282C2#585×D6112yes—
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3539C2
hypercenter#3539D61
hypocenterC61#62729
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3539

Complements

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

NH ≅ G/Ntype
1. #21460138C2semidirect
2. #21460125C2semidirect
3. #21460115C2semidirect
4. #21460102C2semidirect
5. #21460087C2semidirect
6. #21460079C2semidirect
7. #21460067C2semidirect
8. #21460057C2semidirect
9. #21460037C2semidirect
10. #21460027C2semidirect
11. #21460002C2semidirect
12. #21459977C2semidirect
13. #21459972C2semidirect
14. #21459954C2semidirect
15. #21459426C2semidirect
16. #21459378C2semidirect
17. #21459372C2semidirect
18. #21459309C2semidirect
19. #21459306C2semidirect
20. #21459234C2semidirect
21. #21459227C2semidirect
22. #21459210C2semidirect
23. #21459203C2semidirect
24. #21459147C2semidirect
25. #525×D61C2semidirect
26. #525×D61C2semidirect
27. C61×#3539C2semidirect
28. C2×#41×D61C22semidirect
29. C2×#41×D61C22semidirect
30. C2×#41×D61C22semidirect
31. C23×C4×D61C22semidirect
32. #16840515C22semidirect
33. #16840514C22semidirect
34. #16840514C22semidirect
35. #16840509C22semidirect
36. #16840509C22semidirect
37. #16840507C22semidirect
38. #16840507C22semidirect
39. #16840507C22semidirect
40. #16840507C22semidirect
41. #16840505C22semidirect
42. #16840501C22semidirect
43. #16840501C22semidirect
44. #16840500C22semidirect
45. #16840500C22semidirect
46. #16840499C22semidirect
47. #16840495C22semidirect
48. #16840483C22semidirect
49. #16840480C22semidirect
50. #16840476C22semidirect
51. #16840475C22semidirect
52. #16840470C22semidirect
53. #16840468C22semidirect
54. #16840467C22semidirect
55. #16840467C22semidirect
56. #16840465C22semidirect
57. #16840462C22semidirect
58. #16840458C22semidirect
59. #16840457C22semidirect
60. #16840457C22semidirect
61. #16840456C22semidirect
62. #16840453C22semidirect
63. #16840452C22semidirect
64. #16840450C22semidirect
65. #16840448C22semidirect
66. #16840444C22semidirect
67. #16840441C22semidirect
68. #16840441C22semidirect
69. #16840441C22semidirect
70. #16840440C22semidirect
71. #16840437C22semidirect
72. #16840437C22semidirect
73. #16840437C22semidirect
74. #16840436C22semidirect
75. #16840433C22semidirect
76. Q8×D244C22semidirect
77. #16840427C22semidirect
78. #16840422C22semidirect
79. #16840422C22semidirect
80. #16840419C22semidirect
81. #16840419C22semidirect
82. #16840417C22semidirect
83. #16840417C22semidirect
84. #16840413C22semidirect
85. #16840413C22semidirect
86. #16840412C22semidirect
87. #16840409C22semidirect
88. #16840409C22semidirect
89. #16840409C22semidirect
90. #16840409C22semidirect
91. #16840409C22semidirect
92. #16840408C22semidirect
93. #16840404C22semidirect
94. #16840404C22semidirect
95. #16840404C22semidirect
96. #16840401C22semidirect
97. #16840401C22semidirect
98. #16840401C22semidirect
99. #16840400C22semidirect
100. #16840400C22semidirect
101. D4×D244C22semidirect
102. #16840397C22semidirect
103. #16840397C22semidirect
104. #16840396C22semidirect
105. #16840396C22semidirect
106. #16840392C22semidirect
107. #16840387C22semidirect
108. #16840385C22semidirect
109. #16840384C22semidirect
110. #16840383C22semidirect
111. #16840380C22semidirect
112. #16840380C22semidirect
113. #16840379C22semidirect
114. #16840377C22semidirect
115. #16840377C22semidirect
116. #16840375C22semidirect
117. #16840374C22semidirect
118. #16840373C22semidirect
119. #16840368C22semidirect
120. #16840367C22semidirect
121. #16840366C22semidirect
122. #16840363C22semidirect
123. #16840362C22semidirect
124. #16840362C22semidirect
125. #16840360C22semidirect
126. #16840360C22semidirect
127. #16840360C22semidirect
128. #16840359C22semidirect
129. #16840358C22semidirect
130. #16840358C22semidirect
131. #16840355C22semidirect
132. #16840351C22semidirect
133. #16840351C22semidirect
134. #16840351C22semidirect
135. #16840348C22semidirect
136. #16840348C22semidirect
137. #16840348C22semidirect
138. #16840348C22semidirect
139. #16840345C22semidirect
140. #16840345C22semidirect
141. #16840344C22semidirect
142. #16840344C22semidirect
143. #16840344C22semidirect
144. #16840343C22semidirect
145. #16840341C22semidirect
146. #16840340C22semidirect
147. #16840340C22semidirect
148. #16840335C22semidirect
149. #16840335C22semidirect
150. #16840335C22semidirect
151. #16840328C22semidirect
152. #16840328C22semidirect
153. #16840328C22semidirect
154. #16840328C22semidirect
155. #16840325C22semidirect
156. #16840323C22semidirect
157. #16840323C22semidirect
158. #16840320C22semidirect
159. #16840320C22semidirect
160. #16840320C22semidirect
161. #16840318C22semidirect
162. #16840318C22semidirect
163. #16840313C22semidirect
164. #16840310C22semidirect
165. #16840310C22semidirect
166. #16840307C22semidirect
167. #16840307C22semidirect
168. #16840307C22semidirect
169. #16840297C22semidirect
170. #16840297C22semidirect
171. #16840295C22semidirect
172. #16840295C22semidirect
173. #16840295C22semidirect
174. #16840293C22semidirect
175. #16840293C22semidirect
176. #16840289C22semidirect
177. #16840289C22semidirect
178. #16840289C22semidirect
179. #16840275C22semidirect
180. #16840275C22semidirect
181. #16840275C22semidirect
182. #16840275C22semidirect
183. #16840275C22semidirect
185. #16840274C22semidirect
186. #16840273C22semidirect
187. #16840273C22semidirect
188. #16840272C22semidirect
189. #16840272C22semidirect
190. #16840272C22semidirect
191. #16840272C22semidirect
192. #16840272C22semidirect
193. #16840272C22semidirect
194. #16840272C22semidirect
195. #16840271C22semidirect
196. #16840271C22semidirect
197. #16840271C22semidirect
198. #16840271C22semidirect
199. #16840270C22semidirect
200. #16840270C22semidirect
201. #16840270C22semidirect
202. #16840270C22semidirect
203. #16840269C22semidirect
204. #16840269C22semidirect
205. #16840268C22semidirect
206. #16840268C22semidirect
207. #123×D61C22semidirect
208. #123×D61C22semidirect
209. C22⋊Q8×D61C22semidirect
210. C22⋊Q8×D61C22semidirect
211. C22⋊Q8×D61C22semidirect
212. #121×D61C22semidirect
213. #121×D61C22semidirect
214. #121×D61C22semidirect
215. #120×D61C22semidirect
216. #120×D61C22semidirect
217. C4×#11758226C22semidirect
218. #16840230C22semidirect
219. C4×#11758224C22semidirect
220. C4×#11758224C22semidirect
221. C2×#14519739C22semidirect
222. C4×D4×D61C22semidirect
223. C4×D4×D61C22semidirect
224. C4×D4×D61C22semidirect
225. C4×D4×D61C22semidirect
226. C4×D4×D61C22semidirect
227. C2×#14519735C22semidirect
228. #117×D61C22semidirect
229. #117×D61C22semidirect
230. C61×#560C22semidirect
231. C61×#553C22semidirect
232. C61×#553C22semidirect
233. C61×#552C22semidirect
234. C61×#550C22semidirect
235. C61×#547C22semidirect
236. C61×#541C22semidirect
237. C61×#540C22semidirect
238. C61×#540C22semidirect
239. C61×#539C22semidirect
240. C61×#537C22semidirect
241. C61×#525C22semidirect
242. C61×#525C22semidirect
252. C2×#11758222C23semidirect
258. C2×#11758224C23semidirect
264. C2×Q8×D61C23semidirect
276. C2×D4×D61C23semidirect
289. C22×C4×D61C23semidirect
290. #14519777C23semidirect
291. #14519777C23semidirect
292. #14519776C23semidirect
293. #14519776C23semidirect
294. #14519776C23semidirect
295. #14519776C23semidirect
296. #14519776C23semidirect
297. #14519774C23semidirect
303. #14519772C23semidirect
304. #14519772C23semidirect
305. #14519772C23semidirect
306. #14519772C23semidirect
307. #14519772C23semidirect
308. #14519771C23semidirect
309. #14519771C23semidirect
310. #14519771C23semidirect
315. #14519770C23semidirect
316. #14519770C23semidirect
317. #14519770C23semidirect
318. #14519769C23semidirect
319. #14519769C23semidirect
320. #14519768C23semidirect
321. #14519768C23semidirect
322. #14519767C23semidirect
323. #14519767C23semidirect
324. #14519767C23semidirect
325. #14519767C23semidirect
326. #14519767C23semidirect
327. #14519767C23semidirect
328. #14519766C23semidirect
330. #14519765C23semidirect
334. #14519764C23semidirect
335. #14519764C23semidirect
344. #14519763C23semidirect
345. #14519763C23semidirect
346. #14519763C23semidirect
347. #14519763C23semidirect
358. #14519762C23semidirect
359. #14519762C23semidirect
360. #14519762C23semidirect
361. #14519762C23semidirect
367. #14519760C23semidirect
368. #14519760C23semidirect
369. #14519760C23semidirect
370. #14519760C23semidirect
381. #14519759C23semidirect
382. #14519759C23semidirect
383. #14519759C23semidirect
384. #14519759C23semidirect
389. #14519758C23semidirect
390. #14519758C23semidirect
396. #14519757C23semidirect
397. #14519757C23semidirect
398. #14519757C23semidirect
399. #14519757C23semidirect
403. #14519756C23semidirect
404. #14519756C23semidirect
405. #14519756C23semidirect
406. #14519756C23semidirect
407. #14519756C23semidirect
408. #14519756C23semidirect
417. #14519755C23semidirect
418. #14519755C23semidirect
419. #14519755C23semidirect
420. #14519755C23semidirect
421. #14519755C23semidirect
426. #14519754C23semidirect
427. #14519754C23semidirect
428. #14519754C23semidirect
432. #14519753C23semidirect
433. #14519753C23semidirect
441. #14519752C23semidirect
447. #14519751C23semidirect
448. #14519751C23semidirect
449. #14519751C23semidirect
460. #14519750C23semidirect
471. #14519749C23semidirect
472. #14519749C23semidirect
473. #14519749C23semidirect
483. #14519748C23semidirect
484. #14519748C23semidirect
485. #14519748C23semidirect
495. #14519747C23semidirect
496. #14519747C23semidirect
512. #14519745C23semidirect
513. #14519745C23semidirect
514. Q8×Dic61C23semidirect
515. C4×Dic122C23semidirect
516. C4×Dic122C23semidirect
517. #14519742C23semidirect
518. #14519742C23semidirect
519. #14519742C23semidirect
520. #14519742C23semidirect
527. C4×D244C23semidirect
532. D4×Dic61C23semidirect
533. D4×Dic61C23semidirect
534. D4×Dic61C23semidirect
543. #14519739C23semidirect
544. #14519739C23semidirect
545. #14519739C23semidirect
546. #14519739C23semidirect
547. #14519739C23semidirect
560. C4×C22⋊D61C23semidirect
571. #14519737C23semidirect
572. #14519737C23semidirect
573. #14519737C23semidirect
581. #14519735C23semidirect
582. #14519735C23semidirect
583. #14519735C23semidirect
584. #14519735C23semidirect
589. #14519734C23semidirect
592. #14519733C23semidirect
593. #14519733C23semidirect
594. #14519733C23semidirect
595. C2×C4⋊Dic61C23semidirect
603. C4⋊C4×D61C23semidirect
606. C2×#11758198C23semidirect
618. C22⋊C4×D61C23semidirect
619. C2×C4×Dic61C23semidirect
620. C2×C4×Dic61C23semidirect
624. C42×D61C23semidirect
627. C2×#41×C61C23semidirect
629. C4⋊Q8×C61C23semidirect
631. #127×C61C23semidirect
634. #126×C61C23semidirect
635. #125×C61C23semidirect
636. #125×C61C23semidirect
637. #125×C61C23semidirect
638. #125×C61C23semidirect
644. #123×C61C23semidirect
645. #123×C61C23semidirect
649. C22⋊Q8×C61C23semidirect
650. C22⋊Q8×C61C23semidirect
660. #121×C61C23semidirect
661. #121×C61C23semidirect
662. #121×C61C23semidirect
665. C4×Q8×C61C23semidirect
670. C4×D4×C61C23semidirect
671. C4×D4×C61C23semidirect
672. C4×D4×C61C23semidirect
675. #117×C61C23semidirect
676. C2×C4⋊C4×C61C23semidirect
677. C2×C4⋊C4×C61C23semidirect
1137. #3539D61semidirect
1188. #560C2×D61semidirect
1204. #553C2×D61semidirect
1205. #553C2×D61semidirect
1211. #552C2×D61semidirect
1221. #550C2×D61semidirect
1233. #547C2×D61semidirect
1266. #541C2×D61semidirect
1273. #540C2×D61semidirect
1274. #540C2×D61semidirect
1282. #539C2×D61semidirect
1299. #537C2×D61semidirect
1359. #525C2×D61semidirect
1360. #525C2×D61semidirect
1384. C61#62729semidirect
1406. C2×#41C22×D61semidirect
1443. C4⋊Q8C22×D61semidirect
1449. #127C22×D61semidirect
1469. #126C22×D61semidirect
1480. #125C22×D61semidirect
1481. #125C22×D61semidirect
1482. #125C22×D61semidirect
1483. #125C22×D61semidirect
1552. #123C22×D61semidirect
1553. #123C22×D61semidirect
1600. C22⋊Q8C22×D61semidirect
1601. C22⋊Q8C22×D61semidirect
1663. #121C22×D61semidirect
1664. #121C22×D61semidirect
1665. #121C22×D61semidirect
1703. C4×Q8C22×D61semidirect
1761. C4×D4C22×D61semidirect
1762. C4×D4C22×D61semidirect
1763. C4×D4C22×D61semidirect
1787. #117C22×D61semidirect
1797. C2×C4⋊C4C22×D61semidirect
1798. C2×C4⋊C4C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214601382
#214601252
#214601152
#214601022
#214600872
#214600792
#214600672
#214600572
#214600372
#214600272
#214600022
#214599772
#214599722
#214599542
#214594262
#214593782
#214593722
#214593092
#214593062
#214592342
#214592272
#214592102
#214592032
#214591472
#525×D612
C61×#35392
#6272961