Finite Group Databasebeta

← #30586873

Subgroups — #30586873

Order 15616.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459251C214yesmaximal, complemented
2#21459249C214yesmaximal, complemented
3#21459245C214yesmaximal, complemented
4#21459239C214yesmaximal, complemented
5#21459238C214yesmaximal, complemented
6#21459234C214yesmaximal, complemented
7#21459230C214yesmaximal, complemented
8#21459227C214yesmaximal, complemented
9#21459222C211yesmaximal, characteristic, complemented
10#21459209C211yesmaximal, characteristic, complemented
11#21459204C212yesmaximal, complemented
12#21459202C218yesmaximal, complemented
13#21459149C212yesmaximal, complemented
14#21459146C211yesmaximal, characteristic, complemented
15#21459116C211yesmaximal, characteristic, complemented
16#21459114C211yesmaximal, characteristic, complemented
17#21459113C218yesmaximal, complemented
18#21459111C212yesmaximal, complemented
19C2×#16840230C211yesmaximal, characteristic, complemented
20C4×#41×D61C212yesmaximal, complemented
21C61×#3455C211yesmaximal, characteristic, complemented
22C22×#11758222C2211yescharacteristic
23C2×#41×D61C2212yes—
24#16840392C2214yescomplemented
25#16840391C2214yescomplemented
26#16840389C2214yescomplemented
27#16840387C2214yes—
28#16840384C2214yescomplemented
29#16840383C2214yescomplemented
30#16840382C2218yescomplemented
31#16840380C2218yescomplemented
32#16840378C2218yescomplemented
33#16840377C2214yescomplemented
34#16840376C2218yescomplemented
35#16840374C2212yescomplemented
36#16840371C2218yescomplemented
37#16840370C2214yescomplemented
38#16840369C2218yescomplemented
39#16840367C2212yescomplemented
40#16840364C2218yescomplemented
41#16840363C2214yescomplemented
42#16840362C2218yescomplemented
43#16840360C2218yescomplemented
44#16840359C2214yescomplemented
45#16840358C2218yescomplemented
46#16840355C2218yescomplemented
47#16840354C2218yescomplemented
48#16840353C2218yescomplemented
49#16840351C2218yescomplemented
50#16840350C2214yescomplemented
51#16840348C2218yescomplemented
52#16840346C2218yescomplemented
53#16840345C2218yescomplemented
54#16840344C2218yescomplemented
55#16840342C2214yes—
56#16840341C2214yes—
57#16840339C2214yes—
58#16840337C2212yescomplemented
59#16840335C2214yescomplemented
60#16840334C2214yescomplemented
61#16840332C2212yescomplemented
62#16840330C2212yescomplemented
63#16840328C2214yescomplemented
64#16840327C2214yescomplemented
65#16840325C2212yescomplemented
66#16840323C2214yes—
67#16840322C2214yes—
68#16840320C2214yes—
69#16840319C2211yescharacteristic, complemented
70#16840318C2218yescomplemented
71#16840317C2212yescomplemented
72#16840317C2212yescomplemented
73#16840316C2218yescomplemented
74#16840315C2212yescomplemented
75#16840314C2218yescomplemented
76#16840314C2214yescomplemented
77#16840313C2212yescomplemented
78#16840312C2211yescharacteristic
79#16840311C2218yescomplemented
80#16840310C2212yescomplemented
81#16840309C2218yes—
82#16840308C2212yes—
83#16840307C2218yescomplemented
84#16840307C2214yescomplemented
85#16840299C2214yescomplemented
86#16840298C2214yescomplemented
87#16840298C2214yescomplemented
88#16840297C2218yescomplemented
89#16840297C2214yescomplemented
90#16840296C2218yescomplemented
91#16840295C2218yescomplemented
92#16840295C2218yescomplemented
93#16840295C2218yescomplemented
94#16840295C2218yescomplemented
95#16840294C2214yescomplemented
96#16840293C2214yescomplemented
97#16840293C2214yescomplemented
98#16840292C2218yescomplemented
99#16840291C2218yescomplemented
100#16840291C2214yescomplemented
101#16840290C2218yescomplemented
102#16840290C2218yescomplemented
103#16840289C2218yescomplemented
104#16840289C2218yescomplemented
105#16840289C2218yescomplemented
106#16840275C2214yescomplemented
107#16840275C2218yescomplemented
108#16840274C2212yescomplemented
109#16840273C2212yescomplemented
110#16840272C2214yescomplemented
111#16840272C2218yescomplemented
112#16840271C2218yescomplemented
113#16840271C2218yescomplemented
114#16840270C2218yescomplemented
115#16840270C2218yescomplemented
116#16840269C2212yescomplemented
117#16840268C2218yescomplemented
118#41×Dic61C2212yescomplemented
119C4×#11758226C2214yescomplemented
120C4×#11758226C2214yescomplemented
121C4×#11758222C2214yescomplemented
122C4×#11758222C2212yescomplemented
123#16840230C2214yescomplemented
124#16840230C2214yescomplemented
125#16840230C2214yescomplemented
126#16840230C2212yescomplemented
127#16840230C2214yescomplemented
128#16840230C2214yescomplemented
129C4×#11758224C2214yescomplemented
130C4×#11758224C2218yescomplemented
131C4×#11758224C2218yescomplemented
132C4×#11758224C2214yescomplemented
133C2×#14519742C2212yescomplemented
134C4×Q8×D61C2214yescomplemented
135C2×#14519739C2212yes—
136C2×#14519737C2212yes—
137C2×#14519737C2212yescomplemented
138C4×D4×D61C2218yes—
139C4×D4×D61C2214yescomplemented
140C2×#14519734C2211yescharacteristic
141C2×#14519734C2211yescharacteristic, complemented
142#117×D61C2212yes—
143#117×D61C2214yescomplemented
144C22×C4×Dic61C2211yescharacteristic, complemented
145C2×C42×D61C2211yescharacteristic
146C2×C42×D61C2214yescomplemented
147C2×C42×D61C2211yescharacteristic, complemented
148C61×#542C2214yescomplemented
149C61×#541C2212yescomplemented
150C61×#540C2212yescomplemented
151C61×#539C2214yescomplemented
152C61×#538C2214yescomplemented
153C61×#533C2211yescharacteristic, complemented
154C61×#532C2211yescharacteristic
155C61×#529C2218yescomplemented
156C61×#525C2212yescomplemented
157C4×#41×C61C2212yescomplemented
158C2×#117×C61C2211yescharacteristic, complemented
159C2×#11758226C2312yes—
160C2×#11758226C2314yes—
161C2×#11758222—28no—
162C2×#11758222C2314yes—
163C2×#11758222C2314yes—
164C2×#11758222C2314yes—
165C2×#11758222C2312yes—
166C2×#11758224C2312yes—
167C2×#11758224C2314yes—
168C2×#11758224C2318yes—
169C2×#11758224C2314yes—
170#41×D61—216no—
171C22×Dic122C2311yescharacteristic
172C2×Q8×D61C2312yes—
173C22×D244C2311yescharacteristic
174C22×C22⋊D61C2311yescharacteristic
175C22×C22⋊D61C2311yescharacteristic
176C2×D4×D61C2314yes—
177C2×D4×D61C2312yes—
178C23×Dic61C2312yes—
179C22×C4×D61C2314yes—
180C22×C4×D61C2311yescharacteristic
181C22×C4×D61C2312yes—
182C22×C4×D61C2318yes—
183C22×C4×D61C2312yes—
184C22×C4×D61C2311yescharacteristic
185#14519777C2312yes—
186#14519777C2311yescharacteristic
187#14519776C2314yes—
188#14519776C2318yes—
189#14519776C2318yes—
190#14519775C2312yes—
191#14519775C2318yes—
192#14519774C2311yescharacteristic
193#14519773C2312yes—
194#14519773C2318yes—
195#14519772C2318yes—
196#14519772C2318yes—
197#14519772C2318yes—
198#14519772C2318yes—
199#14519771C2318yes—
200#14519771C2318yes—
201#14519770C2318yes—
202#14519770C2318yes—
203#14519770C2318yes—
204#14519770C2318yes—
205#14519769C2312yes—
206#14519769C2318yes—
207#14519768C2314yes—
208#14519768C2314yes—
209#14519768C2314yes—
210#14519767C2318yes—
211#14519767C2318yes—
212#14519767C2318yes—
213#14519767C2318yes—
214#14519767C2318yes—
215#14519766C2312yes—
216#14519766C2314yes—
217#14519765C2318yes—
218#14519765C2312yes—
219#14519764C2312yes—
220#14519764C2314yes—
221#14519763C2318yes—
222#14519763C2318yes—
223#14519763C2318yes—
224#14519763C2318yes—
225#14519763C2318yes—
226#14519762C2318yes—
227#14519762C2318yes—
228#14519762C2318yes—
229#14519762C2318yes—
230#14519762C2318yes—
231#14519761C2318yes—
232#14519761C2314yes—
233#14519760C2318yes—
234#14519760C2318yes—
235#14519760C2314yes—
236#14519759C2318yes—
237#14519759C2318yes—
238#14519759C2318yes—
239#14519759C2318yes—
240#14519759C2318yes—
241#14519758C2318yes—
242#14519758C2314yes—
243#14519757C2314yes—
244#14519757C2318yes—
245#14519757C2314yes—
246#14519756C2314yes—
247#14519756C2318yes—
248#14519756C2314yes—
249#14519755C2318yes—
250#14519755C2318yes—
251#14519755C2318yes—
252#14519755C2318yes—
253#14519755C2318yes—
254#14519755C2318yes—
255#14519754C2318yes—
256#14519754C2318yes—
257#14519754C2318yes—
258#14519754C2318yes—
259#14519753C2314yes—
260#14519753C2318yes—
261#14519753C2314yes—
262#14519752C2314yes—
263#14519752C2318yes—
264#14519752C2314yes—
265#14519751C2314yes—
266#14519751C2318yes—
267#14519751C2314yes—
268#14519750C2318yes—
269#14519750C2318yes—
270#14519750C2318yes—
271#14519750C2318yes—
272#14519750C2318yes—
273#14519750C2318yes—
274#14519749C2318yes—
275#14519749C2318yes—
276#14519749C2318yes—
277#14519749C2318yes—
278#14519748C2314yes—
279#14519748C2318yes—
280#14519748C2314yes—
281#14519747C2318yes—
282#14519747C2318yes—
283#14519747C2314yes—
284#14519746C2314yes—
285#14519745C2314yes—
286#14519745C2318yes—
287#14519745C2318yes—
288Q8×Dic61C2314yes—
289Q8×Dic61C2314yes—
290C4×Dic122C2318yes—
291C4×Dic122C2314yes—
292C4×Dic122C2314yes—
293C4×Dic122C2318yes—
294#14519742C2318yes—
295#14519742C2314yes—
296#14519742C2314yes—
297#14519742C2314yes—
298#14519742C2314yes—
299#14519742C2314yes—
300#14519742C2318yes—
301#14519742C2314yes—
302C4×D244C2318yes—
303C4×D244C2314yes—
304C4×D244C2314yes—
305C4×D244C2318yes—
306D4×Dic61C2318yes—
307D4×Dic61C2314yes—
308D4×Dic61C2318yes—
309D4×Dic61C2314yes—
310#14519739C2318yes—
311#14519739C2314yes—
312#14519739C2314yes—
313#14519739C2314yes—
314#14519739C2314yes—
315#14519739C2314yes—
316#14519739C2314yes—
317#14519739C2318yes—
318C4×C22⋊D61C2318yes—
319C4×C22⋊D61C2318yes—
320C4×C22⋊D61C2318yes—
321C4×C22⋊D61C2318yes—
322C4×C22⋊D61C2318yes—
323C4×C22⋊D61C2318yes—
324#14519737C2318yes—
325#14519737C2318yes—
326#14519737C2318yes—
327#14519737C2314yes—
328#14519737C2314yes—
329#14519737C2314yes—
330#14519737C2314yes—
331#14519737C2314yes—
332#14519737C2314yes—
333#14519737C2314yes—
334#14519737C2314yes—
335#14519737C2318yes—
336#14519737C2318yes—
337#14519737C2318yes—
338#14519736C2312yes—
339#14519736C2314yes—
340#14519735C2314yes—
341#14519735C2318yes—
342#14519735C2314yes—
343#14519735C2318yes—
344#14519735C2318yes—
345#14519735C2314yes—
346#14519734C2314yes—
347#14519734C2314yes—
348#14519734C2314yes—
349#14519734C2314yes—
350#14519734C2312yes—
351#14519734C2312yes—
352#14519734C2314yes—
353#14519734C2314yes—
354#14519733C2314yes—
355#14519733C2318yes—
356#14519733C2318yes—
357#14519733C2318yes—
358#14519733C2318yes—
359C2×#11758196C2312yes—
360C2×#11758196C2312yes—
361C4⋊C4×D61C2314yes—
362C4⋊C4×D61C2318yes—
363C2×#11758198C2312yes—
364C2×#11758198C2312yes—
365C22⋊C4×D61C2314yes—
366C22⋊C4×D61C2318yes—
367C2×C4×Dic61C2311yescharacteristic
368C2×C4×Dic61C2312yes—
369C2×C4×Dic61C2312yes—
370C2×C4×Dic61C2314yes—
371C2×C4×Dic61C2318yes—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2312yes—
374C2×C4×Dic61C2312yes—
375C2×C4×Dic61C2312yes—
376C2×C4×Dic61C2314yes—
377C42×D61C2312yes—
378C42×D61C2312yes—
379C42×D61C2314yes—
380C42×D61C2314yes—
381C42×D61C2318yes—
382C42×D61C2312yes—
383C42×D61C2314yes—
384C42×D61C2318yes—
385C42×D61C2312yes—
386C42×D61C2312yes—
387C42×D61C2312yes—
388C42×D61C2314yes—
389C2×#41×C61C2312yes—
390C23×C4×C61C2311yescharacteristic
391C4⋊Q8×C61C2311yescharacteristic
392C4⋊Q8×C61C2312yes—
393#127×C61C2311yescharacteristic
394#126×C61C2318yes—
395#126×C61C2318yes—
396#125×C61C2312yes—
397#125×C61C2318yes—
398#124×C61C2312yes—
399#124×C61C2318yes—
400#123×C61C2318yes—
401#123×C61C2314yes—
402#123×C61C2318yes—
403C22⋊Q8×C61C2314yes—
404C22⋊Q8×C61C2318yes—
405C22⋊Q8×C61C2314yes—
406#121×C61C2314yes—
407#121×C61C2318yes—
408#121×C61C2314yes—
409#120×C61C2314yes—
410C4×Q8×C61C2314yes—
411C4×Q8×C61C2314yes—
412C4×D4×C61C2314yes—
413C4×D4×C61C2318yes—
414C4×D4×C61C2314yes—
415C4×D4×C61C2318yes—
416#117×C61C2312yes—
417#117×C61C2312yes—
418#117×C61C2312yes—
419#117×C61C2314yes—
420#117×C61C2314yes—
421C2×C4⋊C4×C61C2312yes—
422C2×C22⋊C4×C61C2312yes—
423C2×C42×C61C2311yescharacteristic
424C2×C42×C61C2311yescharacteristic
425C2×C42×C61C2314yes—
426C24×C61C2411yescharacteristic
427C23×D61C2414yes—
428C23×D61C2411yescharacteristic
429C23×D61C2411yescharacteristic
430#41×C61—28no—
431C2×Q8×C61C2412yes—
432C2×Q8×C61C2414yes—
433C2×D4×C61C2414yes—
434C2×D4×C61C2412yes—
435C2×D4×C61C2418yes—
436C2×D4×C61C2414yes—
437C22×C4×C61—24no—
438C22×C4×C61C2414yes—
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2412yes—
441C22×C4×C61C2412yes—
442C22×C4×C61C2412yes—
443C22×C4×C61C2412yes—
444C22×C4×C61C2418yes—
445C22×C4×C61C2411yescharacteristic
446C2×C22⋊D61—24no—
447C2×C22⋊D61—24no—
448C2×C22⋊D61C2414yes—
449C2×C22⋊D61C2414yes—
450C2×C22⋊D61C2414yes—
451C2×C22⋊D61C2414yes—
452C2×C22⋊D61C2414yes—
453C2×C22⋊D61C2418yes—
454C2×C22⋊D61C2418yes—
455C2×C22⋊D61C2418yes—
456C22×Dic61—44no—
457C22×Dic61C2412yes—
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2418yes—
460C22×Dic61C2414yes—
461C22×Dic61C2414yes—
462C22×Dic61C2412yes—
463C22×Dic61C2414yes—
464C22×Dic61C2411yescharacteristic
465#11758226—28no—
466#11758226—48no—
467Q8×D61—28no—
468#11758224—216no—
469#11758224—28no—
470#11758224—48no—
471#11758224—416no—
472D4×D61—216no—
473D4×D61—28no—
474#11758222—28no—
475#11758222—216no—
476#11758222—216no—
477#11758222—216no—
478C2×D244—24no—
479C2×D244C2414yes—
480C2×D244C2412yes—
481C2×D244C2414yes—
482C2×D244C2414yes—
483C2×D244C2418yes—
484C2×C4×D61—24no—
485C2×C4×D61—216no—
486C2×C4×D61—44no—
487C2×C4×D61—416no—
488C2×C4×D61—44no—
489C2×C4×D61#4118yescomplemented
490C2×C4×D61C2414yes—
491C2×C4×D61C2414yes—
492C2×C4×D61C2412yes—
493C2×C4×D61C2418yes—
494C2×C4×D61C2414yes—
495C2×C4×D61C2414yes—
496C2×C4×D61C2412yes—
497C2×C4×D61C2412yes—
498C2×C4×D61C2412yes—
499C2×C4×D61C2414yes—
500C2×C4×D61C2418yes—
501C2×C4×D61C2412yes—
502C2×C4×D61C2412yes—
503C2×C4×D61C2418yes—
504C2×C4×D61C2412yes—
505C2×C4×D61C2412yes—
506C2×Dic122—24no—
507C2×Dic122C2414yes—
508C2×Dic122C2412yes—
509C2×Dic122C2414yes—
510C2×Dic122C2418yes—
511C2×Dic122C2414yes—
512C4⋊C4×C61C2414yes—
513C4⋊C4×C61C2414yes—
514C4⋊C4×C61C2414yes—
515C4⋊C4×C61C2418yes—
516C4⋊C4×C61C2414yes—
517C4⋊C4×C61C2418yes—
518C4⋊C4×C61C2418yes—
519C4⋊C4×C61C2414yes—
520C22⋊C4×C61C2414yes—
521C22⋊C4×C61C2414yes—
522C22⋊C4×C61C2414yes—
523C22⋊C4×C61C2418yes—
524C22⋊C4×C61C2418yes—
525C22⋊C4×C61C2418yes—
526C22⋊C4×C61C2418yes—
527C42×C61C2412yes—
528C42×C61C2412yes—
529C42×C61C2412yes—
530C42×C61C2414yes—
531C42×C61C2411yescharacteristic
532C42×C61C2411yescharacteristic
533C42×C61C2418yes—
534C22⋊Dic61C2414yes—
535C22⋊Dic61C2418yes—
536C22⋊Dic61C2418yes—
537C22⋊Dic61C2418yes—
538C22⋊Dic61C2418yes—
539#11758198C2418yes—
540#11758198C2418yes—
541#11758198C2418yes—
542#11758198C2414yes—
543#11758198C2414yes—
544#11758198C2414yes—
545#11758198C2414yes—
546#11758198C2418yes—
547#11758198C2418yes—
548#11758198C2418yes—
549#11758198C2418yes—
550#11758198C2418yes—
551#11758198C2418yes—
552C4⋊Dic61C2414yes—
553C4⋊Dic61C2418yes—
554C4⋊Dic61C2414yes—
555C4⋊Dic61C2418yes—
556C4⋊Dic61C2418yes—
557C4⋊Dic61C2414yes—
558#11758196C2418yes—
559#11758196C2418yes—
560#11758196C2418yes—
561#11758196C2414yes—
562#11758196C2414yes—
563#11758196C2414yes—
564#11758196C2414yes—
565#11758196C2418yes—
566#11758196C2418yes—
567#11758196C2418yes—
568#11758196C2418yes—
569#11758196C2418yes—
570#11758196C2418yes—
571C4×Dic61C2411yescharacteristic
572C4×Dic61C2411yescharacteristic
573C4×Dic61C2414yes—
574C4×Dic61C2412yes—
575C4×Dic61C2412yes—
576C4×Dic61C2414yes—
577C4×Dic61C2418yes—
578C4×Dic61C2418yes—
579C4×Dic61C2418yes—
580C4×Dic61C2414yes—
581C4×Dic61C2412yes—
582C4×Dic61C2412yes—
583C4×Dic61C2412yes—
584C4×Dic61C2418yes—
585C4×Dic61C2414yes—
586C4×Dic61C2412yes—
587C4×Dic61C2412yes—
588C4×Dic61C2414yes—
589C23×C61—22no—
590C23×C61—42no—
591C23×C61C2514yes—
592C23×C61C2512yes—
593C23×C61C2511yescharacteristic
594C22×D61—22no—
595C22×D61—28no—
596C22×D61—42no—
597C22×D61—48no—
598C22×D61—42no—
599C22×D61C2×#4114yes—
600C22×D61C2512yes—
601C22×D61C2514yes—
602C22×D61C2512yes—
603Q8×C61—24no—
604Q8×C61—44no—
605D4×C61—28no—
606D4×C61—24no—
607D4×C61—44no—
608D4×C61—48no—
609C2×C4×C61—22no—
610C2×C4×C61—28no—
611C2×C4×C61—24no—
612C2×C4×C61—24no—
613C2×C4×C61—42no—
614C2×C4×C61—48no—
615C2×C4×C61—42no—
616C2×C4×C61C2×#4114yes—
617C2×C4×C61C2514yes—
618C2×C4×C61C2512yes—
619C2×C4×C61C2512yes—
620C2×C4×C61C2514yes—
621C2×C4×C61C2518yes—
622C2×C4×C61C2512yes—
623C2×C4×C61C2511yescharacteristic
624C2×C4×C61C2511yescharacteristic
625C22⋊D61—28no—
626C22⋊D61—28no—
627C22⋊D61—28no—
628C22⋊D61—28no—
629C22⋊D61—28no—
630C22⋊D61—48no—
631C22⋊D61—48no—
632C22⋊D61—48no—
633C2×Dic61—22no—
634C2×Dic61—28no—
635C2×Dic61—24no—
636C2×Dic61—216no—
637C2×Dic61—28no—
638C2×Dic61—42no—
639C2×Dic61—44no—
640C2×Dic61C2×#4114yes—
641C2×Dic61C2512yes—
642C2×Dic61C2514yes—
643C2×Dic61C2512yes—
644C2×Dic61C2514yes—
645C2×Dic61C2518yes—
646C2×Dic61C2512yes—
647C2×Dic61C2512yes—
648D244—28no—
649D244—28no—
650D244—24no—
651D244—48no—
652D244—44no—
653C4×D61—28no—
654C4×D61—24no—
655C4×D61—24no—
656C4×D61—28no—
657C4×D61—28no—
658C4×D61—28no—
659C4×D61—24no—
660C4×D61—216no—
661C4×D61—24no—
662C4×D61—48no—
663C4×D61—48no—
664C4×D61—42no—
665C4×D61—44no—
666C4×D61—42no—
667C4×D61C2×#4118yes—
668C4×D61C2×#4118yes—
669Dic122—24no—
670Dic122—28no—
671Dic122—28no—
672Dic122—44no—
673Dic122—48no—
674#62686—611nomaximal, Sylow
675C22×C61—22no—
676C22×C61—24no—
677C22×C61—22no—
678C22×C61—24no—
679C22×C61—28no—
680C22×C61—44no—
681C22×C61C22×#4112yes—
682C22×C61C2611yescharacteristic
683C2×D61—24no—
684C2×D61—22no—
685C2×D61—24no—
686C2×D61—22no—
687C2×D61—28no—
688C2×D61—22no—
689C2×D61—44no—
690C2×D61—416no—
691C2×D61—44no—
692C2×D61C22×#4114yes—
693C4×C61—22no—
694C4×C61—24no—
695C4×C61—22no—
696C4×C61—28no—
697C4×C61—24no—
698C4×C61—22no—
699C4×C61C22×#4112yes—
700C4×C61C22×#4112yes—
701Dic61—24no—
702Dic61—22no—
703Dic61—28no—
704Dic61—24no—
705Dic61—22no—
706Dic61C22×#4114yes—
707Dic61#58514yes—
708#3461—614no—
709#3461—614no—
710#3461—614no—
711#3460—614no—
712#3460—614no—
713#3460—614no—
714#3459—614no—
715#3459—614no—
716#3458—611no—
717#3455—618no—
718#3455—612no—
719#3455—611no—
720#3455D6111yescharacteristic, complemented
721#3449—611no—
722#3449—612no—
723#3444—611no—
724#3444—611no—
725#3444—618no—
726#3444—612no—
727C2×C4×#41—612no—
728C2×C4×#41—611no—
729C2×C61—22no—
730C2×C61—44no—
731C2×C61—42no—
732C2×C61C23×#4111yescharacteristic
733C2×C61C2×#58512yes—
734D61—24no—
735D61—42no—
736D61—44no—
737C22×#41—612no—
738C22×#41—611no—
739#544—614no—
740#544—614no—
741#544—614no—
742#543—614no—
743#542—618no—
744#542—618no—
745#542—618no—
746#542—618no—
747#542—614no—
748#542—614no—
749#542—614no—
750#542C2×D6114yescomplemented
751#541—618no—
752#541—618no—
753#541—614no—
754#541—612no—
755#541C2×D6112yescomplemented
756#540—618no—
757#540—618no—
758#540—614no—
759#540—612no—
760#540C2×D6112yescomplemented
761#539—618no—
762#539—618no—
763#539—618no—
764#539—618no—
765#539—618no—
766#539—614no—
767#539C2×D6114yescomplemented
768#538—618no—
769#538—618no—
770#538—618no—
771#538—618no—
772#538—618no—
773#538—614no—
774#538C2×D6114yescomplemented
775#537—614no—
776#537—614no—
777#537—614no—
778#536—612no—
779#536—612no—
780#536—614no—
781#536—614no—
782#535—612no—
783#535—612no—
784#535—614no—
785#535—614no—
786#534—614no—
787#534—614no—
788#534—614no—
789#533—612no—
790#533—612no—
791#533—618no—
792#533—614no—
793#533—618no—
794#533—618no—
795#533—612no—
796#533—611no—
797#533C2×D6111yescharacteristic, complemented
798#532—612no—
799#532—612no—
800#532—612no—
801#532—618no—
802#532—614no—
803#532—618no—
804#532—618no—
805#532—611no—
806#532C2×D6111yescharacteristic
807#529—618no—
808#529—618no—
809#529—618no—
810#529—618no—
811#529—618no—
812#529—614no—
813#529—618no—
814#529—614no—
815#529—618no—
816#529—618no—
817#529—618no—
818#529—614no—
819#529—614no—
820#529—614no—
821#529—614no—
822#529—614no—
823#529—618no—
824#529—614no—
825#529—618no—
826#529—618no—
827#529—618no—
828#529C2×D6118yescomplemented
829#525—612no—
830#525—612no—
831#525—618no—
832#525—618no—
833#525—618no—
834#525—614no—
835#525—614no—
836#525—618no—
837#525—618no—
838#525—618no—
839#525—618no—
840#525—612no—
841#525C2×D6112yescomplemented
842C4×#41—612no—
843C4×#41—614no—
844C4×#41—614no—
845C4×#41—618no—
846C4×#41—614no—
847C4×#41—614no—
848C4×#41—618no—
849C4×#41—614no—
850C4×#41—614no—
851C4×#41—612no—
852C4×#41—614no—
853C4×#41—614no—
854C4×#41—614no—
855C4×#41—614no—
856C4×#41—612no—
857C4×#41C2×D6112yescomplemented
858C2×C4×Q8—614no—
859C2×C4×Q8—612no—
860C2×C4×D4—618no—
861C2×C4×D4—614no—
862C2×C4×D4—612no—
863C2×C4×D4—612no—
864C2×C4×D4—612no—
865C2×#117—612no—
866C2×#117—614no—
867C2×#117—611no—
868C2×#117—611no—
869C2×#117C2×D6111yescharacteristic, complemented
870C22×C42—611no—
871C22×C42—611no—
872C22×C42—611no—
873C22×C42—614no—
874C61#6268611yescharacteristic, complemented, Sylow
875C2×#41—612no—
876C2×#41—614no—
877C2×#41—614no—
878C2×#41—612no—
879C2×#41—614no—
880C2×#41—618no—
881C2×#41—614no—
882C2×#41—614no—
883C2×#41—612no—
884C2×#41—614no—
885C2×#41—1228no—
886C2×#41—12216no—
887C2×#41C22×D6112yes—
888C22×Q8—612no—
889C22×Q8—611no—
890C22×D4—611no—
891C22×D4—611no—
892C22×D4—614no—
893C22×D4—612no—
894C22×D4—611no—
895C23×C4—611no—
896C23×C4—612no—
897C23×C4—614no—
898C23×C4—611no—
899C23×C4—612no—
900C23×C4—612no—
901C23×C4—618no—
902C23×C4C22×D6111yescharacteristic
903C4⋊Q8—612no—
904C4⋊Q8—618no—
905C4⋊Q8—618no—
906C4⋊Q8—618no—
907C4⋊Q8—614no—
908C4⋊Q8—611no—
909C4⋊Q8—612no—
910C4⋊Q8C22×D6112yes—
911C4⋊Q8C22×D6111yescharacteristic
912#127—618no—
913#127—612no—
914#127—611no—
915#127C22×D6111yescharacteristic
916#126—618no—
917#126—618no—
918#126—618no—
919#126—618no—
920#126—618no—
921#126—618no—
922#126—618no—
923#126—618no—
924#126—618no—
925#126—618no—
926#126C22×D6118yes—
927#126C22×D6118yes—
928#125—618no—
929#125—618no—
930#125—618no—
931#125—614no—
932#125—614no—
933#125—618no—
934#125—618no—
935#125—614no—
936#125—618no—
937#125—612no—
938#125C22×D6112yes—
939#125C22×D6118yes—
940#124—612no—
941#124—614no—
942#124—612no—
943#124—614no—
944#124—618no—
945#124—618no—
946#124—618no—
947#124—618no—
948#124—618no—
949#124—612no—
950#124—618no—
951#124C22×D6112yes—
952#124C22×D6118yes—
953#123—614no—
954#123—618no—
955#123—614no—
956#123—618no—
957#123—618no—
958#123—618no—
959#123—618no—
960#123—618no—
961#123—618no—
962#123—618no—
963#123—618no—
964#123—618no—
965#123—614no—
966#123—618no—
967#123—618no—
968#123—618no—
969#123—618no—
970#123C22×D6118yes—
971#123C22×D6118yes—
972#123C22×D6114yes—
973C22⋊Q8—614no—
974C22⋊Q8—618no—
975C22⋊Q8—614no—
976C22⋊Q8—614no—
977C22⋊Q8—614no—
978C22⋊Q8—618no—
979C22⋊Q8—618no—
980C22⋊Q8—618no—
981C22⋊Q8—614no—
982C22⋊Q8—618no—
983C22⋊Q8—618no—
984C22⋊Q8—618no—
985C22⋊Q8—618no—
986C22⋊Q8—618no—
987C22⋊Q8—614no—
988C22⋊Q8—618no—
989C22⋊Q8—618no—
990C22⋊Q8—618no—
991C22⋊Q8—618no—
992C22⋊Q8C22×D6114yes—
993C22⋊Q8C22×D6118yes—
994C22⋊Q8C22×D6114yes—
995#121—618no—
996#121—618no—
997#121—614no—
998#121—618no—
999#121—618no—
1000#121—614no—
1001#121—618no—
1002#121—614no—
1003#121—614no—
1004#121—618no—
1005#121—618no—
1006#121—614no—
1007#121—614no—
1008#121—618no—
1009#121—618no—
1010#121—618no—
1011#121—618no—
1012#121—618no—
1013#121—618no—
1014#121C22×D6114yes—
1015#121C22×D6118yes—
1016#121C22×D6114yes—
1017#120—614no—
1018#120—614no—
1019#120—618no—
1020#120—618no—
1021#120—618no—
1022#120—618no—
1023#120—614no—
1024#120C22×D6114yes—
1025C4×Q8—614no—
1026C4×Q8—614no—
1027C4×Q8—618no—
1028C4×Q8—614no—
1029C4×Q8—614no—
1030C4×Q8—614no—
1031C4×Q8—614no—
1032C4×Q8—614no—
1033C4×Q8—618no—
1034C4×Q8—614no—
1035C4×Q8—618no—
1036C4×Q8—614no—
1037C4×Q8—618no—
1038C4×Q8—614no—
1039C4×Q8C22×D6114yes—
1040C4×Q8C22×D6114yes—
1041C4×D4—618no—
1042C4×D4—614no—
1043C4×D4—614no—
1044C4×D4—618no—
1045C4×D4—618no—
1046C4×D4—618no—
1047C4×D4—618no—
1048C4×D4—618no—
1049C4×D4—618no—
1050C4×D4—618no—
1051C4×D4—618no—
1052C4×D4—614no—
1053C4×D4—614no—
1054C4×D4—614no—
1055C4×D4—614no—
1056C4×D4—614no—
1057C4×D4—614no—
1058C4×D4—618no—
1059C4×D4—618no—
1060C4×D4—614no—
1061C4×D4—614no—
1062C4×D4—618no—
1063C4×D4—618no—
1064C4×D4—614no—
1065C4×D4—614no—
1066C4×D4—614no—
1067C4×D4—614no—
1068C4×D4—614no—
1069C4×D4—614no—
1070C4×D4—618no—
1071C4×D4—618no—
1072C4×D4—618no—
1073C4×D4—618no—
1074C4×D4—614no—
1075C4×D4—614no—
1076C4×D4—618no—
1077C4×D4C22×D6118yes—
1078C4×D4C22×D6114yes—
1079C4×D4C22×D6114yes—
1080C4×D4C22×D6118yes—
1081#117—612no—
1082#117—614no—
1083#117—614no—
1084#117—618no—
1085#117—614no—
1086#117—618no—
1087#117—618no—
1088#117—614no—
1089#117—614no—
1090#117—618no—
1091#117—618no—
1092#117—618no—
1093#117—618no—
1094#117—614no—
1095#117—614no—
1096#117—614no—
1097#117—614no—
1098#117—614no—
1099#117—612no—
1100#117—612no—
1101#117—614no—
1102#117C22×D6112yes—
1103#117C22×D6114yes—
1104#117C22×D6114yes—
1105#117C22×D6112yes—
1106#117C22×D6112yes—
1107C2×C4⋊C4—612no—
1108C2×C4⋊C4—612no—
1109C2×C4⋊C4—614no—
1110C2×C4⋊C4—618no—
1111C2×C4⋊C4C22×D6112yes—
1112C2×C22⋊C4—612no—
1113C2×C22⋊C4—612no—
1114C2×C22⋊C4—614no—
1115C2×C22⋊C4—618no—
1116C2×C22⋊C4C22×D6112yes—
1117C2×C42—611no—
1118C2×C42—612no—
1119C2×C42—612no—
1120C2×C42—612no—
1121C2×C42—612no—
1122C2×C42—614no—
1123C2×C42—611no—
1124C2×C42—612no—
1125C2×C42—618no—
1126C2×C42—614no—
1127C2×C42—612no—
1128C2×C42—614no—
1129C2×C42—614no—
1130C2×C42—618no—
1131C2×C42—612no—
1132C2×C42—614no—
1133C2×C42—612no—
1134C2×C42—612no—
1135C2×C42—614no—
1136C2×C42—618no—
1137C2×C42—612no—
1138C2×C42—612no—
1139C2×C42C22×D6111yescharacteristic
1140C2×C42C22×D6111yescharacteristic
1141C2×C42C22×D6114yes—
1142C24—611no—
1143C24—614no—
1144C24—611no—
1145C24C23×D6111yescharacteristic
1146#41—28no—
1147#41—12216no—
1148#41—12216no—
1149#41—12216no—
1150#41—12216no—
1151#41—1228no—
1152#41—1228no—
1153#41—1228no—
1154#41—2448no—
1155#41—24416no—
1156#41—2448no—
1157C2×Q8—614no—
1158C2×Q8—614no—
1159C2×Q8—612no—
1160C2×Q8—614no—
1161C2×Q8—618no—
1162C2×Q8—1224no—
1163C2×Q8—1228no—
1164C2×Q8C23×D6112yes—
1165C2×Q8C23×D6114yes—
1166C2×D4—614no—
1167C2×D4—614no—
1168C2×D4—614no—
1169C2×D4—614no—
1170C2×D4—614no—
1171C2×D4—618no—
1172C2×D4—618no—
1173C2×D4—618no—
1174C2×D4—614no—
1175C2×D4—614no—
1176C2×D4—612no—
1177C2×D4—618no—
1178C2×D4—614no—
1179C2×D4—1224no—
1180C2×D4—1228no—
1181C2×D4—1224no—
1182C2×D4—12216no—
1183C2×D4—1224no—
1184C2×D4C23×D6114yes—
1185C2×D4C23×D6112yes—
1186C2×D4C23×D6114yes—
1187C2×D4C23×D6118yes—
1188C22×C4—24no—
1189C22×C4—611no—
1190C22×C4—618no—
1191C22×C4—612no—
1192C22×C4—612no—
1193C22×C4—612no—
1194C22×C4—611no—
1195C22×C4—618no—
1196C22×C4—614no—
1197C22×C4—614no—
1198C22×C4—612no—
1199C22×C4—614no—
1200C22×C4—614no—
1201C22×C4—614no—
1202C22×C4—612no—
1203C22×C4—618no—
1204C22×C4—612no—
1205C22×C4—614no—
1206C22×C4—612no—
1207C22×C4—612no—
1208C22×C4—614no—
1209C22×C4—614no—
1210C22×C4—618no—
1211C22×C4—612no—
1212C22×C4—612no—
1213C22×C4—618no—
1214C22×C4—12216no—
1215C22×C4—1224no—
1216C22×C4—2444no—
1217C22×C4—24416no—
1218C22×C4—2444no—
1219C22×C4—2444no—
1220C22×C4C23×D6111yescharacteristic
1221C22×C4C23×D6112yes—
1222C22×C4C23×D6112yes—
1223C22×C4C23×D6114yes—
1224C22×C4C23×D6112yes—
1225C22×C4C23×D6112yes—
1226C22×C4C23×D6118yes—
1227C22×C4C23×D6111yescharacteristic
1228C4⋊C4—614no—
1229C4⋊C4—618no—
1230C4⋊C4—614no—
1231C4⋊C4—618no—
1232C4⋊C4—614no—
1233C4⋊C4—614no—
1234C4⋊C4—618no—
1235C4⋊C4—614no—
1236C4⋊C4—618no—
1237C4⋊C4—618no—
1238C4⋊C4—618no—
1239C4⋊C4—618no—
1240C4⋊C4—618no—
1241C4⋊C4—618no—
1242C4⋊C4—618no—
1243C4⋊C4—614no—
1244C4⋊C4—618no—
1245C4⋊C4—618no—
1246C4⋊C4—614no—
1247C4⋊C4C23×D6114yes—
1248C4⋊C4C23×D6118yes—
1249C4⋊C4C23×D6114yes—
1250C4⋊C4C23×D6114yes—
1251C4⋊C4C23×D6114yes—
1252C4⋊C4C23×D6118yes—
1253C4⋊C4C23×D6118yes—
1254C4⋊C4C23×D6114yes—
1255C22⋊C4—614no—
1256C22⋊C4—618no—
1257C22⋊C4—618no—
1258C22⋊C4—618no—
1259C22⋊C4—618no—
1260C22⋊C4—614no—
1261C22⋊C4—618no—
1262C22⋊C4—614no—
1263C22⋊C4—618no—
1264C22⋊C4—614no—
1265C22⋊C4—614no—
1266C22⋊C4—618no—
1267C22⋊C4—618no—
1268C22⋊C4—618no—
1269C22⋊C4—618no—
1270C22⋊C4—618no—
1271C22⋊C4—618no—
1272C22⋊C4—618no—
1273C22⋊C4C23×D6114yes—
1274C22⋊C4C23×D6118yes—
1275C22⋊C4C23×D6114yes—
1276C22⋊C4C23×D6114yes—
1277C22⋊C4C23×D6118yes—
1278C22⋊C4C23×D6118yes—
1279C22⋊C4C23×D6118yes—
1280C42—614no—
1281C42—612no—
1282C42—614no—
1283C42—612no—
1284C42—618no—
1285C42—618no—
1286C42—612no—
1287C42—614no—
1288C42—618no—
1289C42—612no—
1290C42—614no—
1291C42—612no—
1292C42—612no—
1293C42—618no—
1294C42—611no—
1295C42—611no—
1296C42—612no—
1297C42—614no—
1298C42C23×D6112yes—
1299C42C23×D6111yescharacteristic
1300C42C23×D6111yescharacteristic
1301C42C23×D6118yes—
1302C42C23×D6112yes—
1303C42C23×D6112yes—
1304C42C23×D6114yes—
1305C23—22no—
1306C23—42no—
1307C23—612no—
1308C23—614no—
1309C23—614no—
1310C23—612no—
1311C23—1228no—
1312C23—1222no—
1313C23—2442no—
1314C23—2442no—
1315C23—2448no—
1316C23C24×D6114yes—
1317C23C24×D6112yes—
1318C23C24×D6111yescharacteristic
1319Q8—24no—
1320Q8—44no—
1321Q8—1228no—
1322Q8—1228no—
1323Q8—1224no—
1324Q8—2444no—
1325Q8—2448no—
1326D4—28no—
1327D4—24no—
1328D4—44no—
1329D4—48no—
1330D4—1228no—
1331D4—1228no—
1332D4—1228no—
1333D4—1228no—
1334D4—1228no—
1335D4—1228no—
1336D4—1228no—
1337D4—1224no—
1338D4—2448no—
1339D4—2444no—
1340D4—2448no—
1341D4—2448no—
1342D4—2448no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—28no—
1347C2×C4—42no—
1348C2×C4—48no—
1349C2×C4—42no—
1350C2×C4—614no—
1351C2×C4—612no—
1352C2×C4—612no—
1353C2×C4—618no—
1354C2×C4—618no—
1355C2×C4—612no—
1356C2×C4—612no—
1357C2×C4—614no—
1358C2×C4—614no—
1359C2×C4—618no—
1360C2×C4—1228no—
1361C2×C4—1228no—
1362C2×C4—1224no—
1363C2×C4—12216no—
1364C2×C4—1224no—
1365C2×C4—1228no—
1366C2×C4—1228no—
1367C2×C4—1224no—
1368C2×C4—12216no—
1369C2×C4—1228no—
1370C2×C4—1222no—
1371C2×C4—1228no—
1372C2×C4—1224no—
1373C2×C4—1224no—
1374C2×C4—2444no—
1375C2×C4—2448no—
1376C2×C4—2442no—
1377C2×C4—2448no—
1378C2×C4—2442no—
1379C2×C4—2444no—
1380C2×C4—2442no—
1381C2×C4#41×D6114yes—
1382C2×C4C24×D6114yes—
1383C2×C4C24×D6112yes—
1384C2×C4C24×D6112yes—
1385C2×C4C24×D6114yes—
1386C2×C4C24×D6118yes—
1387C2×C4C24×D6112yes—
1388C2×C4C24×D6111yescharacteristic
1389C2×C4C24×D6111yescharacteristic
1390C22—22no—
1391C22—22no—
1392C22—24no—
1393C22—28no—
1394C22—24no—
1395C22—44no—
1396C22—614no—
1397C22—1224no—
1398C22—1224no—
1399C22—1222no—
1400C22—1222no—
1401C22—1228no—
1402C22—1222no—
1403C22—2444no—
1404C22—2444no—
1405C22—24416no—
1406C22C2×#41×D6112yes—
1407C22C25×D6111yescharacteristic
1408C4—22no—
1409C4—24no—
1410C4—24no—
1411C4—22no—
1412C4—28no—
1413C4—22no—
1414C4—614no—
1415C4—614no—
1416C4—1224no—
1417C4—1222no—
1418C4—1222no—
1419C4—1228no—
1420C4—1224no—
1421C4C2×#41×D6112yes—
1422C4C2×#41×D6112yes—
1423C2—22no—
1424C2—42no—
1425C2—44no—
1426C2—1224no—
1427C2—2442no—
1428C2—2444no—
1429C2C22×#41×D6111yescharacteristic
1430C2#585×D6112yes—
subgroupG/H
centerC2×C4C24×D61
commutator, socle, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC61×#3455C2
hypercenter#3455D61
hypocenterC61#62686
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #21459251C2semidirect
2. #21459249C2semidirect
3. #21459245C2semidirect
4. #21459239C2semidirect
5. #21459238C2semidirect
6. #21459234C2semidirect
7. #21459230C2semidirect
8. #21459227C2semidirect
9. #21459222C2semidirect
10. #21459209C2semidirect
11. #21459204C2semidirect
12. #21459202C2semidirect
13. #21459149C2semidirect
14. #21459146C2semidirect
15. #21459116C2semidirect
16. #21459114C2semidirect
17. #21459113C2semidirect
18. #21459111C2semidirect
19. C2×#16840230C2semidirect
20. C4×#41×D61C2semidirect
21. C61×#3455C2semidirect
24. #16840392C22semidirect
25. #16840391C22semidirect
26. #16840389C22semidirect
28. #16840384C22semidirect
29. #16840383C22semidirect
30. #16840382C22semidirect
31. #16840380C22semidirect
32. #16840378C22semidirect
33. #16840377C22semidirect
34. #16840376C22semidirect
35. #16840374C22semidirect
36. #16840371C22semidirect
37. #16840370C22semidirect
38. #16840369C22semidirect
39. #16840367C22semidirect
40. #16840364C22semidirect
41. #16840363C22semidirect
42. #16840362C22semidirect
43. #16840360C22semidirect
44. #16840359C22semidirect
45. #16840358C22semidirect
46. #16840355C22semidirect
47. #16840354C22semidirect
48. #16840353C22semidirect
49. #16840351C22semidirect
50. #16840350C22semidirect
51. #16840348C22semidirect
52. #16840346C22semidirect
53. #16840345C22semidirect
54. #16840344C22semidirect
58. #16840337C22semidirect
59. #16840335C22semidirect
60. #16840334C22semidirect
61. #16840332C22semidirect
62. #16840330C22semidirect
63. #16840328C22semidirect
64. #16840327C22semidirect
65. #16840325C22semidirect
69. #16840319C22semidirect
70. #16840318C22semidirect
71. #16840317C22semidirect
72. #16840317C22semidirect
73. #16840316C22semidirect
74. #16840315C22semidirect
75. #16840314C22semidirect
76. #16840314C22semidirect
77. #16840313C22semidirect
79. #16840311C22semidirect
80. #16840310C22semidirect
83. #16840307C22semidirect
84. #16840307C22semidirect
85. #16840299C22semidirect
86. #16840298C22semidirect
87. #16840298C22semidirect
88. #16840297C22semidirect
89. #16840297C22semidirect
90. #16840296C22semidirect
91. #16840295C22semidirect
92. #16840295C22semidirect
93. #16840295C22semidirect
94. #16840295C22semidirect
95. #16840294C22semidirect
96. #16840293C22semidirect
97. #16840293C22semidirect
98. #16840292C22semidirect
99. #16840291C22semidirect
100. #16840291C22semidirect
101. #16840290C22semidirect
102. #16840290C22semidirect
103. #16840289C22semidirect
104. #16840289C22semidirect
105. #16840289C22semidirect
106. #16840275C22semidirect
107. #16840275C22semidirect
108. #16840274C22semidirect
109. #16840273C22semidirect
110. #16840272C22semidirect
111. #16840272C22semidirect
112. #16840271C22semidirect
113. #16840271C22semidirect
114. #16840270C22semidirect
115. #16840270C22semidirect
116. #16840269C22semidirect
117. #16840268C22semidirect
118. #41×Dic61C22semidirect
119. C4×#11758226C22semidirect
120. C4×#11758226C22semidirect
121. C4×#11758222C22semidirect
122. C4×#11758222C22semidirect
123. #16840230C22semidirect
124. #16840230C22semidirect
125. #16840230C22semidirect
126. #16840230C22semidirect
127. #16840230C22semidirect
128. #16840230C22semidirect
129. C4×#11758224C22semidirect
130. C4×#11758224C22semidirect
131. C4×#11758224C22semidirect
132. C4×#11758224C22semidirect
133. C2×#14519742C22semidirect
134. C4×Q8×D61C22semidirect
137. C2×#14519737C22semidirect
139. C4×D4×D61C22semidirect
141. C2×#14519734C22semidirect
143. #117×D61C22semidirect
144. C22×C4×Dic61C22semidirect
146. C2×C42×D61C22semidirect
147. C2×C42×D61C22semidirect
148. C61×#542C22semidirect
149. C61×#541C22semidirect
150. C61×#540C22semidirect
151. C61×#539C22semidirect
152. C61×#538C22semidirect
153. C61×#533C22semidirect
155. C61×#529C22semidirect
156. C61×#525C22semidirect
157. C4×#41×C61C22semidirect
158. C2×#117×C61C22semidirect
489. C2×C4×D61#41semidirect
720. #3455D61semidirect
750. #542C2×D61semidirect
755. #541C2×D61semidirect
760. #540C2×D61semidirect
767. #539C2×D61semidirect
774. #538C2×D61semidirect
797. #533C2×D61semidirect
828. #529C2×D61semidirect
841. #525C2×D61semidirect
857. C4×#41C2×D61semidirect
869. C2×#117C2×D61semidirect
874. C61#62686semidirect

Maximal subgroups

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

subgroupindex
#214592512
#214592492
#214592452
#214592392
#214592382
#214592342
#214592302
#214592272
#214592222
#214592092
#214592042
#214592022
#214591492
#214591462
#214591162
#214591142
#214591132
#214591112
C2×#168402302
C4×#41×D612
C61×#34552
#6268661