Finite Group Databasebeta

← #30588529

Subgroups — #30588529

Order 15616.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459920C212yesmaximal, complemented
2#21459875C216yesmaximal, complemented
3#21459804C212yesmaximal, complemented
4#21459747C216yesmaximal, complemented
5#21459736C213yesmaximal, complemented
6#21459710C213yesmaximal, complemented
7#21459641C211yesmaximal, characteristic, complemented
8#21459607C211yesmaximal, characteristic, complemented
9#21459572C213yesmaximal, complemented
10#21459544C213yesmaximal, complemented
11#21459500C211yesmaximal, characteristic, complemented
12#21459481C211yesmaximal, characteristic, complemented
13#21459441C212yesmaximal, complemented
14#21459423C216yesmaximal, complemented
15#21459417C212yesmaximal, complemented
16#21459377C216yesmaximal, complemented
17#21459246C213yesmaximal, complemented
18#21459241C213yesmaximal, complemented
19#21459112C213yesmaximal, complemented
20C2×#16840294C213yesmaximal, complemented
21C4×#14519824C211yesmaximal, characteristic, complemented
22C4×#41×D61C211yesmaximal, characteristic, complemented
23C4×H(5,𝔽2)×C61C211yesmaximal, characteristic, complemented
24C2×#14519824C2211yescharacteristic
25C2×#41×D61C2211yescharacteristic
26#16840495C2216yescomplemented
27#16840495C2216yescomplemented
28#16840491C2212yescomplemented
29#16840488C2212yescomplemented
30#16840482C2216yescomplemented
31#16840482C2216yescomplemented
32#16840480C2216yescomplemented
33#16840477C2216yescomplemented
34#16840471C2216yescomplemented
35#16840469C2216yescomplemented
36#16840467C2216yescomplemented
37#16840462C2216yescomplemented
38#16840462C2216yescomplemented
39#16840461C22112yescomplemented
40#16840460C2216yescomplemented
41#16840458C22112yescomplemented
42#16840456C2216yescomplemented
43#16840452C22112yescomplemented
44#16840451C2216yescomplemented
45#16840451C2216yescomplemented
46#16840447C2216yescomplemented
47#16840447C2216yescomplemented
48#16840441C22112yescomplemented
49#16840438C22112yescomplemented
50#16840438C22112yescomplemented
51#16840438C22112yescomplemented
52#16840431C2212yes—
53Q8×D244C2212yescomplemented
54#16840424C2212yescomplemented
55#16840419C2212yes—
56#16840419C2212yescomplemented
57#16840419C2212yescomplemented
58#16840417C2216yescomplemented
59#16840416C2216yescomplemented
60#16840407C2216yescomplemented
61#16840406C2216yes—
62#16840406C2216yescomplemented
63#16840406C2216yescomplemented
64#16840402C22112yescomplemented
65D4×C22⋊D61C2216yes—
66#16840393C2213yescomplemented
67#16840390C2213yescomplemented
68#16840383C2216yescomplemented
69#16840377C2216yescomplemented
70#16840377C2216yescomplemented
71#16840377C2216yescomplemented
72#16840374C2216yescomplemented
73#16840370C2216yescomplemented
74#16840363C2216yescomplemented
75#16840363C2216yescomplemented
76#16840354C22112yescomplemented
77#16840350C22112yescomplemented
78#16840343C2213yescomplemented
79#16840340C2213yes—
80#16840338C2213yescomplemented
81#16840333C2213yescomplemented
82#16840329C2213yes—
83#16840329C2213yescomplemented
84#16840319C2216yescomplemented
85#16840316C2213yescomplemented
86#16840316C2213yescomplemented
87#16840315C2213yescomplemented
88#16840309C2213yescomplemented
89#16840309C2216yescomplemented
90#16840309C2213yescomplemented
91#16840308C2213yescomplemented
92#16840299C2213yescomplemented
93#16840299C2211yescharacteristic, complemented
94#16840296C2216yescomplemented
95#16840294C2216yescomplemented
96#16840294C2216yescomplemented
97#16840294C2216yescomplemented
98#16840294C2216yescomplemented
99#16840294C2216yescomplemented
100#16840294C2213yescomplemented
101#16840294C2216yescomplemented
102#16840294C2216yescomplemented
103#16840294C2216yescomplemented
104#16840294C2213yescomplemented
105#16840292C22112yescomplemented
106#16840292C2216yescomplemented
107#16840292C2216yescomplemented
108#16840290C2216yescomplemented
109#16840290C2216yescomplemented
110C2×#14519770C2216yescomplemented
111C2×#14519768C2213yescomplemented
112C2×#14519764C2213yescomplemented
113#16840274C2213yescomplemented
114#16840273C22112yescomplemented
115#16840271C2216yescomplemented
116#16840271C2216yescomplemented
117#16840269C2213yes—
118C2×#14519759C2216yescomplemented
119C2×#14519757C2213yescomplemented
120C2×#14519748C2213yes—
121#16840245C2211yescharacteristic
122#16840242C2213yescomplemented
123#16840241C2216yescomplemented
124#16840239C2213yescomplemented
125#16840238C2212yescomplemented
126#41×Dic61C2211yescharacteristic
127C4×#11758226C2211yescharacteristic, complemented
128C4×#11758226C2211yescharacteristic, complemented
129C4×#11758222C2213yescomplemented
130C4×#11758222C2213yescomplemented
131C4×#11758222C2216yescomplemented
132C4×#11758222C2216yescomplemented
133#16840230C2213yescomplemented
134C4×#11758224C2213yescomplemented
135C4×#11758224C2213yescomplemented
136C4×#11758224C2216yescomplemented
137C2×C4×Dic122C2213yescomplemented
138C4×Q8×D61C2211yescharacteristic, complemented
139C4×Q8×D61C2211yescharacteristic, complemented
140C4×Q8×D61C2212yescomplemented
141C2×C4×C22⋊D61C2216yescomplemented
142C4×D4×D61C2213yescomplemented
143C4×D4×D61C2213yescomplemented
144C2×#14519736C2216yescomplemented
145#117×D61C2213yescomplemented
146C2×C42×D61C2213yescomplemented
147C2×H(5,𝔽2)×C61C2211yescharacteristic
148C61×#520C2211yescharacteristic
149C61×#520C2213yescomplemented
150C61×#520C2212yescomplemented
151C61×#518C2216yescomplemented
152C61×#518C2213yescomplemented
153C4×#41×C61C2211yescharacteristic
154C4×#41×C61C2213yescomplemented
155C4×#41×C61C2212yescomplemented
156C2×C4×D4×C61C2213yescomplemented
157C2×C4×D4×C61C2216yescomplemented
158#14519824—28no—
159C2×#11758226C2311yescharacteristic
160C2×#11758222C2313yes—
161C2×#11758222C2313yes—
162C2×#11758222C2316yes—
163C2×#11758222C2316yes—
164C2×#11758224C2313yes—
165C2×#11758224C2316yes—
166#41×D61—28no—
167C22×Dic122C2313yes—
168C2×Q8×D61C2311yescharacteristic
169C2×Q8×D61C2312yes—
170C22×C22⋊D61C2316yes—
171C2×D4×D61C2313yes—
172C22×C4×D61C2313yes—
173C22×C4×D61C2313yes—
174C22×C4×D61C2313yes—
175#14519777C2316yes—
176#14519777C2316yes—
177#14519776C2316yes—
178#14519776C2313yes—
179#14519776C2313yes—
180#14519775C2313yes—
181#14519773C2316yes—
182#14519773C2313yes—
183#14519772C2316yes—
184#14519772C23112yes—
185#14519772C2312yes—
186#14519771C23112yes—
187#14519770C23112yes—
188#14519770C23112yes—
189#14519770C23112yes—
190#14519770C23112yes—
191#14519770C2316yes—
192#14519770C2316yes—
193#14519770C23112yes—
194#14519769C23112yes—
195#14519769C2316yes—
196#14519768C2316yes—
197#14519768C2316yes—
198#14519768C2316yes—
199#14519768C2313yes—
200#14519768C2316yes—
201#14519768C2311yescharacteristic
202#14519767C2316yes—
203#14519767C23112yes—
204#14519767C2316yes—
205#14519766C2311yescharacteristic
206#14519765C2316yes—
207#14519764C2316yes—
208#14519764C2316yes—
209#14519764C2316yes—
210#14519764C2313yes—
211#14519764C2316yes—
212#14519763C2316yes—
213#14519763C23112yes—
214#14519763C23112yes—
215#14519763C2316yes—
216#14519762C2316yes—
217#14519762C2312yes—
218#14519761C2316yes—
219#14519761C23112yes—
220#14519760C23112yes—
221#14519760C23112yes—
222#14519760C23112yes—
223#14519759C23112yes—
224#14519759C23112yes—
225#14519759C23112yes—
226#14519759C2316yes—
227#14519759C2316yes—
228#14519759C23112yes—
229#14519758C2316yes—
230#14519758C23112yes—
231#14519757C2316yes—
232#14519757C2316yes—
233#14519757C2316yes—
234#14519757C2313yes—
235#14519757C2316yes—
236#14519757C2313yes—
237#14519756C2316yes—
238#14519756C2316yes—
239#14519756C23112yes—
240#14519756C23112yes—
241#14519756C2316yes—
242#14519756C23112yes—
243#14519755C2316yes—
244#14519755C2316yes—
245#14519754C2316yes—
246#14519754C23112yes—
247#14519754C2316yes—
248#14519753C2311yescharacteristic
249#14519753C2313yes—
250#14519752C2316yes—
251#14519752C2311yescharacteristic
252#14519752C2313yes—
253#14519751C2316yes—
254#14519751C23112yes—
255#14519751C23112yes—
256#14519750C23112yes—
257#14519750C2316yes—
258#14519750C2316yes—
259#14519749C2316yes—
260#14519749C23112yes—
261#14519749C2316yes—
262#14519748C2316yes—
263#14519748C2316yes—
264#14519748C2316yes—
265#14519748C2316yes—
266#14519748C2313yes—
267#14519748C2316yes—
268#14519748C2313yes—
269#14519747C2316yes—
270#14519746C23112yes—
271#14519746C23112yes—
272#14519745C2316yes—
273Q8×Dic61C2311yescharacteristic
274Q8×Dic61C2311yescharacteristic
275Q8×Dic61C2312yes—
276C4×Dic122C2316yes—
277C4×Dic122C2316yes—
278C4×Dic122C2316yes—
279C4×Dic122C2316yes—
280C4×Dic122C2313yes—
281C4×Dic122C2313yes—
282C4×Dic122C2313yes—
283C4×Dic122C2316yes—
284C4×Dic122C2316yes—
285C4×Dic122C2313yes—
286C4×Dic122C2316yes—
287#14519742C2313yes—
288#14519742C2316yes—
289#14519742C2316yes—
290#14519742C2313yes—
291C4×D244C2316yes—
292C4×D244C2316yes—
293C4×D244C2316yes—
294C4×D244C2313yes—
295C4×D244C2313yes—
296C4×D244C2312yes—
297C4×D244C2311yescharacteristic
298C4×D244C2313yes—
299D4×Dic61C2313yes—
300D4×Dic61C2316yes—
301D4×Dic61C2313yes—
302#14519739C2313yes—
303#14519739C2313yes—
304C4×C22⋊D61C2316yes—
305C4×C22⋊D61C2316yes—
306C4×C22⋊D61C2316yes—
307C4×C22⋊D61C23112yes—
308C4×C22⋊D61C2316yes—
309C4×C22⋊D61C23112yes—
310C4×C22⋊D61C2316yes—
311C4×C22⋊D61C2316yes—
312C4×C22⋊D61C2316yes—
313C4×C22⋊D61C23112yes—
314C4×C22⋊D61C2316yes—
315C4×C22⋊D61C2316yes—
316C4×C22⋊D61C2316yes—
317C4×C22⋊D61C2316yes—
318C4×C22⋊D61C2316yes—
319#14519737C2316yes—
320#14519737C23112yes—
321#14519737C2316yes—
322#14519736C23112yes—
323#14519736C23112yes—
324#14519736C2313yes—
325#14519736C2316yes—
326#14519736C23112yes—
327#14519736C2316yes—
328#14519736C2313yes—
329#14519735C2316yes—
330#14519735C2313yes—
331#14519735C2313yes—
332#14519734C2316yes—
333#14519734C2316yes—
334#14519734C2316yes—
335#14519734C2312yes—
336#14519734C2316yes—
337#14519734C2316yes—
338#14519733C2316yes—
339#14519733C23112yes—
340C2×C4⋊Dic61C2316yes—
341C2×C4⋊Dic61C2316yes—
342C2×C4⋊Dic61C2313yes—
343C2×#11758196C2316yes—
344C2×#11758196C2316yes—
345C4⋊C4×D61C2313yes—
346C4⋊C4×D61C2316yes—
347C4⋊C4×D61C2313yes—
348C2×C22⋊Dic61C2316yes—
349C2×C22⋊Dic61C2316yes—
350C2×C22⋊Dic61C2316yes—
351C2×#11758198C2316yes—
352C22⋊C4×D61C2316yes—
353C2×C4×Dic61C2313yes—
354C2×C4×Dic61C2313yes—
355C2×C4×Dic61C2313yes—
356C2×C4×Dic61C2316yes—
357C42×D61C2311yescharacteristic
358C42×D61C2313yes—
359C42×D61C2313yes—
360C42×D61C2313yes—
361C42×D61C2313yes—
362C42×D61C2313yes—
363C42×D61C2313yes—
364C42×D61C2313yes—
365C42×D61C2316yes—
366H(5,𝔽2)×C61—28no—
367C2×#41×C61C2313yes—
368C2×#41×C61C2312yes—
369C2×#41×C61C2311yescharacteristic
370C22×D4×C61C2313yes—
371C22×D4×C61C2316yes—
372C23×C4×C61C2316yes—
373C4×Q8×C61C2311yescharacteristic
374C4×Q8×C61C2311yescharacteristic
375C4×Q8×C61C2312yes—
376C4×Q8×C61C2311yescharacteristic
377C4×Q8×C61C2313yes—
378C4×D4×C61C23112yes—
379C4×D4×C61C2316yes—
380C4×D4×C61C2316yes—
381C4×D4×C61C2316yes—
382C4×D4×C61C2313yes—
383C4×D4×C61C2313yes—
384C4×D4×C61C2316yes—
385C4×D4×C61C2316yes—
386C4×D4×C61C2313yes—
387C4×D4×C61C2316yes—
388C4×D4×C61C2316yes—
389C4×D4×C61C2316yes—
390C4×D4×C61C2313yes—
391#117×C61C2316yes—
392#117×C61C2313yes—
393#117×C61C2313yes—
394#117×C61C2316yes—
395C2×C4⋊C4×C61C2316yes—
396C2×C4⋊C4×C61C2313yes—
397C2×C22⋊C4×C61C2316yes—
398C2×C22⋊C4×C61C23112yes—
399C2×C42×C61C2313yes—
400C2×C42×C61C2316yes—
401C24×C61C2416yes—
402C23×D61C2413yes—
403#41×C61—28no—
404#41×C61—212no—
405#41×C61#4118yescomplemented
406C2×Q8×C61C2411yescharacteristic
407C2×Q8×C61C2411yescharacteristic
408C2×D4×C61—224no—
409C2×D4×C61—212no—
410C2×D4×C61C2416yes—
411C2×D4×C61C2416yes—
412C2×D4×C61C2413yes—
413C2×D4×C61C2413yes—
414C22×C4×C61—412no—
415C22×C4×C61C2413yes—
416C22×C4×C61C2416yes—
417C22×C4×C61C2416yes—
418C22×C4×C61C2413yes—
419C22×C4×C61C2416yes—
420C22×C4×C61C2416yes—
421C22×C4×C61C24112yes—
422C22×C4×C61C2413yes—
423C2×C22⋊D61—412no—
424C2×C22⋊D61C2416yes—
425C2×C22⋊D61C2416yes—
426C2×C22⋊D61C2416yes—
427C2×C22⋊D61C24112yes—
428C2×C22⋊D61C2416yes—
429C2×C22⋊D61C2416yes—
430C2×C22⋊D61C2416yes—
431C22×Dic61C2413yes—
432C22×Dic61C2416yes—
433C22×Dic61C2413yes—
434C22×Dic61C2413yes—
435C22×Dic61C2416yes—
436#11758226—24no—
437Q8×D61—24no—
438Q8×D61—28no—
439#11758224—212no—
440#11758224—224no—
441D4×D61—212no—
442#11758222—212no—
443#11758222—212no—
444#11758222—412no—
445#11758222—412no—
446C2×D244C2413yes—
447C2×D244C2412yes—
448C2×D244C2411yescharacteristic
449C2×D244C2416yes—
450C2×C4×D61—212no—
451C2×C4×D61—46no—
452C2×C4×D61—46no—
453C2×C4×D61C2411yescharacteristic
454C2×C4×D61C2411yescharacteristic
455C2×C4×D61C2411yescharacteristic
456C2×C4×D61C2413yes—
457C2×C4×D61C2413yes—
458C2×C4×D61C2413yes—
459C2×C4×D61C2413yes—
460C2×C4×D61C2413yes—
461C2×C4×D61C2416yes—
462C2×C4×D61C2412yes—
463C2×C4×D61C2413yes—
464C2×C4×D61C2413yes—
465C2×C4×D61C2413yes—
466C2×C4×D61C2413yes—
467C2×C4×D61C2416yes—
468C2×Dic122—212no—
469C2×Dic122C2416yes—
470C2×Dic122C2413yes—
471C2×Dic122C2413yes—
472C2×Dic122C2416yes—
473C2×Dic122C2416yes—
474C4⋊C4×C61C2413yes—
475C4⋊C4×C61C2416yes—
476C4⋊C4×C61C2413yes—
477C4⋊C4×C61C2416yes—
478C4⋊C4×C61C2413yes—
479C4⋊C4×C61C2411yescharacteristic
480C4⋊C4×C61C2412yes—
481C22⋊C4×C61C2416yes—
482C22⋊C4×C61C2416yes—
483C22⋊C4×C61C2416yes—
484C22⋊C4×C61C24112yes—
485C22⋊C4×C61C2416yes—
486C42×C61C2411yescharacteristic
487C42×C61C2413yes—
488C42×C61C2412yes—
489C42×C61C2413yes—
490C42×C61C2413yes—
491C42×C61C2416yes—
492C42×C61C2416yes—
493C22⋊Dic61C2416yes—
494C22⋊Dic61C2416yes—
495C22⋊Dic61C2416yes—
496C22⋊Dic61C2416yes—
497C22⋊Dic61C24112yes—
498C22⋊Dic61C24112yes—
499C22⋊Dic61C24112yes—
500C22⋊Dic61C2416yes—
501C22⋊Dic61C2416yes—
502#11758198C2416yes—
503#11758198C2416yes—
504#11758198C2416yes—
505#11758198C24112yes—
506#11758198C2412yes—
507#11758198C2412yes—
508#11758198C2412yes—
509#11758198C2416yes—
510#11758198C2412yes—
511#11758198C2412yes—
512#11758198C2416yes—
513#11758198C2416yes—
514#11758198C2416yes—
515C4⋊Dic61C2416yes—
516C4⋊Dic61C2413yes—
517C4⋊Dic61C2413yes—
518C4⋊Dic61C2416yes—
519C4⋊Dic61C2416yes—
520C4⋊Dic61C2413yes—
521C4⋊Dic61C24112yes—
522C4⋊Dic61C24112yes—
523C4⋊Dic61C2411yescharacteristic
524C4⋊Dic61C2412yes—
525C4⋊Dic61C2416yes—
526#11758196C24112yes—
527#11758196C2416yes—
528#11758196C2416yes—
529#11758196C2416yes—
530#11758196C2416yes—
531#11758196C24112yes—
532#11758196C2416yes—
533#11758196C2412yes—
534#11758196C2412yes—
535#11758196C2416yes—
536#11758196C2416yes—
537#11758196C2416yes—
538#11758196C2416yes—
539#11758196C2416yes—
540C4×Dic61C2411yescharacteristic
541C4×Dic61C2411yescharacteristic
542C4×Dic61C2411yescharacteristic
543C4×Dic61C2413yes—
544C4×Dic61C2413yes—
545C4×Dic61C2413yes—
546C4×Dic61C2413yes—
547C4×Dic61C2413yes—
548C4×Dic61C2413yes—
549C4×Dic61C2413yes—
550C4×Dic61C2413yes—
551C4×Dic61C2413yes—
552C4×Dic61C2416yes—
553C4×Dic61C2416yes—
554C4×Dic61C2416yes—
555C4×Dic61C24112yes—
556C23×C61—212no—
557C23×C61—46no—
558C23×C61—46no—
559C23×C61C2516yes—
560C23×C61C2513yes—
561C22×D61—26no—
562C22×D61—26no—
563C22×D61—43no—
564C22×D61C2513yes—
565C22×D61C2512yes—
566C22×D61C2511yescharacteristic
567Q8×C61—22no—
568Q8×C61C2×#4114yes—
569D4×C61—212no—
570D4×C61—212no—
571D4×C61—26no—
572D4×C61C2×#41112yes—
573C2×C4×C61—212no—
574C2×C4×C61—26no—
575C2×C4×C61—212no—
576C2×C4×C61—43no—
577C2×C4×C61—46no—
578C2×C4×C61—46no—
579C2×C4×C61—412no—
580C2×C4×C61C2×#41112yes—
581C2×C4×C61C2513yes—
582C2×C4×C61C2511yescharacteristic
583C2×C4×C61C2513yes—
584C2×C4×C61C2512yes—
585C2×C4×C61C2516yes—
586C2×C4×C61C2512yes—
587C2×C4×C61C2513yes—
588C2×C4×C61C2511yescharacteristic
589C2×C4×C61C2511yescharacteristic
590C22⋊D61—212no—
591C22⋊D61—212no—
592C22⋊D61—212no—
593C22⋊D61—46no—
594C22⋊D61—46no—
595C22⋊D61—46no—
596C22⋊D61—412no—
597C2×Dic61—212no—
598C2×Dic61—26no—
599C2×Dic61—43no—
600C2×Dic61—43no—
601C2×Dic61—46no—
602C2×Dic61C2511yescharacteristic
603C2×Dic61C2511yescharacteristic
604C2×Dic61C2511yescharacteristic
605C2×Dic61C2512yes—
606C2×Dic61C2513yes—
607C2×Dic61C2516yes—
608C2×Dic61C2513yes—
609C2×Dic61C2513yes—
610C2×Dic61C2516yes—
611D244—24no—
612D244—22no—
613D244—26no—
614D244—46no—
615C4×D61—22no—
616C4×D61—26no—
617C4×D61—22no—
618C4×D61—26no—
619C4×D61—26no—
620C4×D61—26no—
621C4×D61—212no—
622C4×D61—22no—
623C4×D61—26no—
624C4×D61—24no—
625C4×D61—43no—
626C4×D61—43no—
627C4×D61—43no—
628C4×D61—43no—
629C4×D61—46no—
630Dic122—26no—
631Dic122—212no—
632Dic122—26no—
633Dic122—46no—
634Dic122—46no—
635#62810—611nomaximal, Sylow
636C22×C61—23no—
637C22×C61—23no—
638C22×C61—26no—
639C22×C61—26no—
640C22×C61—26no—
641C22×C61—812no—
642C22×C61C22×#4116yes—
643C22×C61C2611yescharacteristic
644C2×D61—21no—
645C2×D61—21no—
646C2×D61—22no—
647C2×D61—23no—
648C2×D61—23no—
649C2×D61—22no—
650C2×D61—22no—
651C2×D61—23no—
652C2×D61—412no—
653C2×D61#58512yes—
654C4×C61—22no—
655C4×C61—22no—
656C4×C61—26no—
657C4×C61—21no—
658C4×C61—23no—
659C4×C61—23no—
660C4×C61C22×#4116yes—
661C4×C61C22×#4112yes—
662C4×C61#58512yes—
663Dic61—26no—
664Dic61—23no—
665Dic61—21no—
666Dic61—22no—
667Dic61—23no—
668Dic61—23no—
669Dic61—26no—
670Dic61—21no—
671Dic61—21no—
672#3524—612no—
673#3521—616no—
674#3516—612no—
675#3513—616no—
676#3512—613no—
677#3510—613no—
678#3504—611no—
679#3500—611no—
680#3495—613no—
681#3494—613no—
682#3489—611no—
683#3488—611no—
684#3482—612no—
685#3481—616no—
686#3480—612no—
687#3475—616no—
688#3461—613no—
689#3460—613no—
690#3444—613no—
691C2×#529—613no—
692C4×2−1+4—611no—
693C4×H(5,𝔽2)D6111yescharacteristic, complemented
694C2×C4×#41—611no—
695C2×C61—26no—
696C2×C61—46no—
697C2×C61C23×#4111yescharacteristic
698C2×C61C2×#58511yescharacteristic
699C2×C61C2×#58511yescharacteristic
700D61—22no—
701D61—42no—
702D61—43no—
703C2×2−1+4—611no—
704C2×H(5,𝔽2)C2×D6111yescharacteristic
705C22×#41—611no—
706#559—616no—
707#559—616no—
708#557—612no—
709#557—612no—
710#556—616no—
711#556—616no—
712#556—616no—
713#555—616no—
714#554—616no—
715#554—616no—
716#554—616no—
717#553—6112no—
718#553—6112no—
719#553—616no—
720#553—616no—
721#553—616no—
722#553—616no—
723#552—6112no—
724#552—616no—
725#552—616no—
726#552—616no—
727#552—616no—
728#551—6112no—
729#551—6112no—
730#551—6112no—
731#551—6112no—
732#550—612no—
733D4×Q8—612no—
734#548—612no—
735#548—612no—
736#548—612no—
737#548—612no—
738#547—616no—
739#547—616no—
740#546—616no—
741#546—616no—
742#546—616no—
743#546—616no—
744#546—6112no—
745D42—616no—
746#544—613no—
747#544—613no—
748#542—616no—
749#542—616no—
750#542—616no—
751#542—616no—
752#541—616no—
753#541—616no—
754#540—616no—
755#540—616no—
756#539—6112no—
757#538—6112no—
758#537—613no—
759#537—613no—
760#536—613no—
761#536—613no—
762#535—613no—
763#535—613no—
764#533—613no—
765#533—613no—
766#533—613no—
767#533—616no—
768#532—613no—
769#532—613no—
770#532—613no—
771#532—616no—
772#529—611no—
773#529—613no—
774#529—616no—
775#529—616no—
776#529—6112no—
777#529—613no—
778#529—616no—
779#529—616no—
780#529—616no—
781#529—616no—
782#529—616no—
783#529—616no—
784#529—616no—
785#529—613no—
786#529—616no—
787#529—616no—
788#529—616no—
789#529—616no—
790C2×#126—616no—
791C2×#125—613no—
792C2×#124—613no—
793#525—613no—
794#525—6112no—
795#525—616no—
796#525—616no—
797#525—613no—
798C2×#123—616no—
799C2×C22⋊Q8—613no—
800C2×#121—613no—
801#520—611no—
802#520—616no—
803#520—613no—
804#520C2×D6111yescharacteristic
805#520C2×D6113yescomplemented
806#520C2×D6112yescomplemented
807#519—612no—
808#519—613no—
809#518C2×D6113yescomplemented
810#518C2×D6116yescomplemented
811C4×#41—611no—
812C4×#41—611no—
813C4×#41—611no—
814C4×#41—613no—
815C4×#41—613no—
816C4×#41—616no—
817C4×#41—613no—
818C4×#41—613no—
819C4×#41—613no—
820C4×#41—616no—
821C4×#41—616no—
822C4×#41C2×D6111yescharacteristic
823C4×#41C2×D6113yescomplemented
824C4×#41C2×D6112yescomplemented
825C2×C4×Q8—611no—
826C2×C4×Q8—611no—
827C2×C4×Q8—612no—
828C2×C4×Q8—613no—
829C2×C4×D4—616no—
830C2×C4×D4—613no—
831C2×C4×D4—613no—
832C2×C4×D4C2×D6113yescomplemented
833C2×C4×D4C2×D6116yescomplemented
834C2×#117—616no—
835C2×#117—613no—
836C22×C42—613no—
837C61#6281011yescharacteristic, complemented, Sylow
8382−1+4—1228no—
839H(5,𝔽2)—28no—
840C2×#41—611no—
841C2×#41—613no—
842C2×#41—616no—
843C2×#41—613no—
844C2×#41—613no—
845C2×#41—616no—
846C2×#41—616no—
847C2×#41—1228no—
848C2×#41C22×D6113yes—
849C2×#41C22×D6112yes—
850C2×#41C22×D6111yescharacteristic
851C22×Q8—611no—
852C22×Q8—612no—
853C22×Q8—613no—
854C22×D4—616no—
855C22×D4—613no—
856C22×D4C22×D6113yes—
857C22×D4C22×D6116yes—
858C23×C4—613no—
859C23×C4—613no—
860C23×C4—613no—
861C23×C4C22×D6116yes—
862C4⋊Q8—613no—
863C4⋊Q8—613no—
864C4⋊Q8—613no—
865C4⋊Q8—616no—
866C4⋊Q8—616no—
867C4⋊Q8—616no—
868#127—613no—
869#127—616no—
870#126—612no—
871#126—616no—
872#126—6112no—
873#126—616no—
874#126—6112no—
875#126—6112no—
876#126—6112no—
877#126—616no—
878#126—6112no—
879#126—6112no—
880#126—6112no—
881#125—613no—
882#125—616no—
883#125—616no—
884#125—616no—
885#125—611no—
886#125—616no—
887#125—616no—
888#125—616no—
889#125—6112no—
890#125—616no—
891#125—6112no—
892#124—611no—
893#124—613no—
894#124—616no—
895#124—616no—
896#124—616no—
897#124—616no—
898#124—616no—
899#124—616no—
900#124—6112no—
901#124—6112no—
902#124—616no—
903#123—616no—
904#123—6112no—
905#123—6112no—
906#123—6112no—
907#123—6112no—
908#123—612no—
909#123—616no—
910#123—616no—
911#123—6112no—
912#123—6112no—
913#123—6112no—
914#123—616no—
915#123—616no—
916#123—6112no—
917#123—6112no—
918C22⋊Q8—611no—
919C22⋊Q8—613no—
920C22⋊Q8—6112no—
921C22⋊Q8—6112no—
922C22⋊Q8—616no—
923C22⋊Q8—616no—
924C22⋊Q8—616no—
925C22⋊Q8—6112no—
926C22⋊Q8—613no—
927C22⋊Q8—616no—
928C22⋊Q8—616no—
929C22⋊Q8—616no—
930C22⋊Q8—613no—
931C22⋊Q8—616no—
932C22⋊Q8—616no—
933C22⋊Q8—616no—
934C22⋊Q8—616no—
935C22⋊Q8—616no—
936C22⋊Q8—6112no—
937#121—613no—
938#121—616no—
939#121—616no—
940#121—616no—
941#121—613no—
942#121—616no—
943#121—616no—
944#121—616no—
945#121—6112no—
946#121—616no—
947#121—6112no—
948#121—6112no—
949#121—616no—
950#121—611no—
951#121—613no—
952#121—616no—
953#121—616no—
954#121—616no—
955#121—6112no—
956#120—6112no—
957#120—6112no—
958#120—616no—
959#120—616no—
960C4×Q8—611no—
961C4×Q8—611no—
962C4×Q8—612no—
963C4×Q8—613no—
964C4×Q8—613no—
965C4×Q8—616no—
966C4×Q8—616no—
967C4×Q8—616no—
968C4×Q8—613no—
969C4×Q8—613no—
970C4×Q8—613no—
971C4×Q8—616no—
972C4×Q8—616no—
973C4×Q8—613no—
974C4×Q8—616no—
975C4×Q8—616no—
976C4×Q8—616no—
977C4×Q8—616no—
978C4×Q8C22×D6111yescharacteristic
979C4×Q8C22×D6111yescharacteristic
980C4×Q8C22×D6111yescharacteristic
981C4×Q8C22×D6112yes—
982C4×Q8C22×D6113yes—
983C4×D4—613no—
984C4×D4—613no—
985C4×D4—616no—
986C4×D4—616no—
987C4×D4—616no—
988C4×D4—616no—
989C4×D4—6112no—
990C4×D4—6112no—
991C4×D4—6112no—
992C4×D4—616no—
993C4×D4—616no—
994C4×D4—616no—
995C4×D4—616no—
996C4×D4—616no—
997C4×D4—616no—
998C4×D4—616no—
999C4×D4—616no—
1000C4×D4—616no—
1001C4×D4—613no—
1002C4×D4—613no—
1003C4×D4—616no—
1004C4×D4—616no—
1005C4×D4—6112no—
1006C4×D4—613no—
1007C4×D4—613no—
1008C4×D4—612no—
1009C4×D4—611no—
1010C4×D4—613no—
1011C4×D4—616no—
1012C4×D4—616no—
1013C4×D4—616no—
1014C4×D4C22×D6113yes—
1015C4×D4C22×D6113yes—
1016C4×D4C22×D6116yes—
1017C4×D4C22×D6113yes—
1018C4×D4C22×D6116yes—
1019C4×D4C22×D6116yes—
1020C4×D4C22×D6116yes—
1021C4×D4C22×D6116yes—
1022C4×D4C22×D61112yes—
1023C4×D4C22×D6116yes—
1024C4×D4C22×D6116yes—
1025C4×D4C22×D6113yes—
1026C4×D4C22×D6116yes—
1027#117—616no—
1028#117—613no—
1029#117—6112no—
1030#117—6112no—
1031#117—6112no—
1032#117—613no—
1033#117—616no—
1034#117—613no—
1035#117—613no—
1036#117—616no—
1037#117—616no—
1038#117—6112no—
1039#117—616no—
1040#117—612no—
1041#117—616no—
1042#117—616no—
1043#117—616no—
1044#117—616no—
1045#117C22×D6113yes—
1046#117C22×D6113yes—
1047#117C22×D6116yes—
1048#117C22×D6116yes—
1049C2×C4⋊C4—616no—
1050C2×C4⋊C4—616no—
1051C2×C4⋊C4—616no—
1052C2×C4⋊C4—613no—
1053C2×C4⋊C4—616no—
1054C2×C4⋊C4—613no—
1055C2×C4⋊C4—613no—
1056C2×C4⋊C4—616no—
1057C2×C4⋊C4C22×D6113yes—
1058C2×C4⋊C4C22×D6116yes—
1059C2×C22⋊C4—616no—
1060C2×C22⋊C4—616no—
1061C2×C22⋊C4—616no—
1062C2×C22⋊C4—616no—
1063C2×C22⋊C4—616no—
1064C2×C22⋊C4C22×D6116yes—
1065C2×C22⋊C4C22×D61112yes—
1066C2×C42—613no—
1067C2×C42—616no—
1068C2×C42—613no—
1069C2×C42—613no—
1070C2×C42—613no—
1071C2×C42—613no—
1072C2×C42—613no—
1073C2×C42—616no—
1074C2×C42—613no—
1075C2×C42—613no—
1076C2×C42—613no—
1077C2×C42—613no—
1078C2×C42—611no—
1079C2×C42C22×D6113yes—
1080C2×C42C22×D6116yes—
1081C24—613no—
1082C24C23×D6116yes—
1083#41—28no—
1084#41—212no—
1085#41—1224no—
1086#41—12212no—
1087#41—12224no—
1088#41—12212no—
1089#41—12212no—
1090#41—24412no—
1091#41—24412no—
1092#41#1175822218yescomplemented
1093C2×Q8—616no—
1094C2×Q8—613no—
1095C2×Q8—613no—
1096C2×Q8—616no—
1097C2×Q8—616no—
1098C2×Q8—1224no—
1099C2×Q8—1228no—
1100C2×Q8—12212no—
1101C2×Q8C23×D6111yescharacteristic
1102C2×Q8C23×D6111yescharacteristic
1103C2×D4—224no—
1104C2×D4—212no—
1105C2×D4—616no—
1106C2×D4—616no—
1107C2×D4—616no—
1108C2×D4—616no—
1109C2×D4—616no—
1110C2×D4—616no—
1111C2×D4—6112no—
1112C2×D4—612no—
1113C2×D4—613no—
1114C2×D4—611no—
1115C2×D4—616no—
1116C2×D4—12212no—
1117C2×D4—24412no—
1118C2×D4C23×D6116yes—
1119C2×D4C23×D6113yes—
1120C2×D4C23×D6116yes—
1121C2×D4C23×D6113yes—
1122C22×C4—412no—
1123C22×C4—613no—
1124C22×C4—616no—
1125C22×C4—613no—
1126C22×C4—613no—
1127C22×C4—616no—
1128C22×C4—611no—
1129C22×C4—611no—
1130C22×C4—613no—
1131C22×C4—613no—
1132C22×C4—613no—
1133C22×C4—613no—
1134C22×C4—616no—
1135C22×C4—611no—
1136C22×C4—612no—
1137C22×C4—613no—
1138C22×C4—613no—
1139C22×C4—613no—
1140C22×C4—613no—
1141C22×C4—613no—
1142C22×C4—616no—
1143C22×C4—12212no—
1144C22×C4—2446no—
1145C22×C4—2446no—
1146C22×C4C23×D6116yes—
1147C22×C4C23×D6113yes—
1148C22×C4C23×D6116yes—
1149C22×C4C23×D6113yes—
1150C22×C4C23×D6116yes—
1151C22×C4C23×D6116yes—
1152C22×C4C23×D61112yes—
1153C22×C4C23×D6113yes—
1154C4⋊C4—616no—
1155C4⋊C4—616no—
1156C4⋊C4—6112no—
1157C4⋊C4—616no—
1158C4⋊C4—616no—
1159C4⋊C4—613no—
1160C4⋊C4—616no—
1161C4⋊C4—616no—
1162C4⋊C4—616no—
1163C4⋊C4—6112no—
1164C4⋊C4—613no—
1165C4⋊C4—613no—
1166C4⋊C4—6112no—
1167C4⋊C4—6112no—
1168C4⋊C4—616no—
1169C4⋊C4—612no—
1170C4⋊C4—612no—
1171C4⋊C4—616no—
1172C4⋊C4—616no—
1173C4⋊C4—616no—
1174C4⋊C4—616no—
1175C4⋊C4—616no—
1176C4⋊C4—611no—
1177C4⋊C4—612no—
1178C4⋊C4—616no—
1179C4⋊C4C23×D6113yes—
1180C4⋊C4C23×D6113yes—
1181C4⋊C4C23×D6113yes—
1182C4⋊C4C23×D6116yes—
1183C4⋊C4C23×D6116yes—
1184C4⋊C4C23×D6111yescharacteristic
1185C4⋊C4C23×D6112yes—
1186C22⋊C4—616no—
1187C22⋊C4—616no—
1188C22⋊C4—616no—
1189C22⋊C4—616no—
1190C22⋊C4—6112no—
1191C22⋊C4—6112no—
1192C22⋊C4—6112no—
1193C22⋊C4—616no—
1194C22⋊C4—616no—
1195C22⋊C4—616no—
1196C22⋊C4—616no—
1197C22⋊C4—616no—
1198C22⋊C4—6112no—
1199C22⋊C4—612no—
1200C22⋊C4—612no—
1201C22⋊C4—616no—
1202C22⋊C4—612no—
1203C22⋊C4—612no—
1204C22⋊C4—612no—
1205C22⋊C4—616no—
1206C22⋊C4—616no—
1207C22⋊C4—616no—
1208C22⋊C4C23×D6116yes—
1209C22⋊C4C23×D6116yes—
1210C22⋊C4C23×D6116yes—
1211C22⋊C4C23×D61112yes—
1212C22⋊C4C23×D6116yes—
1213C42—611no—
1214C42—611no—
1215C42—613no—
1216C42—613no—
1217C42—613no—
1218C42—613no—
1219C42—613no—
1220C42—613no—
1221C42—613no—
1222C42—613no—
1223C42—6112no—
1224C42—616no—
1225C42—616no—
1226C42—611no—
1227C42—616no—
1228C42—613no—
1229C42C23×D6113yes—
1230C42C23×D6113yes—
1231C42C23×D6116yes—
1232C42C23×D6116yes—
1233C42C23×D6113yes—
1234C42C23×D6111yescharacteristic
1235C42C23×D6112yes—
1236C23—212no—
1237C23—46no—
1238C23—46no—
1239C23—611no—
1240C23—613no—
1241C23—612no—
1242C23—1226no—
1243C23—1226no—
1244C23—2443no—
1245C23C24×D6116yes—
1246C23C24×D6113yes—
1247Q8—22no—
1248Q8—12212no—
1249Q8—1226no—
1250Q8—1226no—
1251Q8—2446no—
1252Q8—2446no—
1253Q8C2×#1175822214yes—
1254D4—212no—
1255D4—212no—
1256D4—26no—
1257D4—1224no—
1258D4—12212no—
1259D4—12212no—
1260D4—12212no—
1261D4—1226no—
1262D4—1222no—
1263D4—2446no—
1264D4—24412no—
1265D4—2446no—
1266D4—2446no—
1267D4—2446no—
1268D4C2×#11758222112yes—
1269C2×C4—212no—
1270C2×C4—26no—
1271C2×C4—212no—
1272C2×C4—412no—
1273C2×C4—46no—
1274C2×C4—43no—
1275C2×C4—46no—
1276C2×C4—611no—
1277C2×C4—611no—
1278C2×C4—611no—
1279C2×C4—612no—
1280C2×C4—616no—
1281C2×C4—613no—
1282C2×C4—613no—
1283C2×C4—613no—
1284C2×C4—616no—
1285C2×C4—1222no—
1286C2×C4—1226no—
1287C2×C4—1226no—
1288C2×C4—12212no—
1289C2×C4—1222no—
1290C2×C4—1226no—
1291C2×C4—1226no—
1292C2×C4—1226no—
1293C2×C4—12212no—
1294C2×C4—1222no—
1295C2×C4—1226no—
1296C2×C4—1224no—
1297C2×C4—2443no—
1298C2×C4—2443no—
1299C2×C4—2443no—
1300C2×C4—2443no—
1301C2×C4—2446no—
1302C2×C4—2443no—
1303C2×C4—2443no—
1304C2×C4—2446no—
1305C2×C4C2×#11758222112yes—
1306C2×C4C24×D6113yes—
1307C2×C4C24×D6111yescharacteristic
1308C2×C4C24×D6113yes—
1309C2×C4C24×D6112yes—
1310C2×C4C24×D6112yes—
1311C2×C4C24×D6116yes—
1312C2×C4C24×D6113yes—
1313C2×C4C24×D6111yescharacteristic
1314C2×C4C24×D6111yescharacteristic
1315C22—23no—
1316C22—23no—
1317C22—26no—
1318C22—26no—
1319C22—26no—
1320C22—812no—
1321C22—612no—
1322C22—1221no—
1323C22—1221no—
1324C22—1222no—
1325C22—1223no—
1326C22—1222no—
1327C22—1223no—
1328C22—1223no—
1329C22—1222no—
1330C22—24412no—
1331C22C22×#1175822216yes—
1332C22C25×D6111yescharacteristic
1333C4—22no—
1334C4—21no—
1335C4—23no—
1336C4—22no—
1337C4—23no—
1338C4—26no—
1339C4—1221no—
1340C4—1223no—
1341C4—1226no—
1342C4—1221no—
1343C4—1223no—
1344C4—1226no—
1345C4—1221no—
1346C4—1223no—
1347C4—1222no—
1348C4C22×#1175822216yes—
1349C4C22×#1175822212yes—
1350C4#1684059712yes—
1351C2—26no—
1352C2—46no—
1353C2—1222no—
1354C2—2443no—
1355C2—2442no—
1356C2C23×#1175822211yescharacteristic
1357C2#585×D6111yescharacteristic
1358C2C2×#1684059711yescharacteristic
subgroupG/H
centerC2×C4C24×D61
commutator, socle, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC4×H(5,𝔽2)×C61C2
hypercenterC4×H(5,𝔽2)D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. #21459920C2semidirect
2. #21459875C2semidirect
3. #21459804C2semidirect
4. #21459747C2semidirect
5. #21459736C2semidirect
6. #21459710C2semidirect
7. #21459641C2semidirect
8. #21459607C2semidirect
9. #21459572C2semidirect
10. #21459544C2semidirect
11. #21459500C2semidirect
12. #21459481C2semidirect
13. #21459441C2semidirect
14. #21459423C2semidirect
15. #21459417C2semidirect
16. #21459377C2semidirect
17. #21459246C2semidirect
18. #21459241C2semidirect
19. #21459112C2semidirect
20. C2×#16840294C2semidirect
21. C4×#14519824C2semidirect
22. C4×#41×D61C2semidirect
23. C4×H(5,𝔽2)×C61C2semidirect
26. #16840495C22semidirect
27. #16840495C22semidirect
28. #16840491C22semidirect
29. #16840488C22semidirect
30. #16840482C22semidirect
31. #16840482C22semidirect
32. #16840480C22semidirect
33. #16840477C22semidirect
34. #16840471C22semidirect
35. #16840469C22semidirect
36. #16840467C22semidirect
37. #16840462C22semidirect
38. #16840462C22semidirect
39. #16840461C22semidirect
40. #16840460C22semidirect
41. #16840458C22semidirect
42. #16840456C22semidirect
43. #16840452C22semidirect
44. #16840451C22semidirect
45. #16840451C22semidirect
46. #16840447C22semidirect
47. #16840447C22semidirect
48. #16840441C22semidirect
49. #16840438C22semidirect
50. #16840438C22semidirect
51. #16840438C22semidirect
53. Q8×D244C22semidirect
54. #16840424C22semidirect
56. #16840419C22semidirect
57. #16840419C22semidirect
58. #16840417C22semidirect
59. #16840416C22semidirect
60. #16840407C22semidirect
62. #16840406C22semidirect
63. #16840406C22semidirect
64. #16840402C22semidirect
66. #16840393C22semidirect
67. #16840390C22semidirect
68. #16840383C22semidirect
69. #16840377C22semidirect
70. #16840377C22semidirect
71. #16840377C22semidirect
72. #16840374C22semidirect
73. #16840370C22semidirect
74. #16840363C22semidirect
75. #16840363C22semidirect
76. #16840354C22semidirect
77. #16840350C22semidirect
78. #16840343C22semidirect
80. #16840338C22semidirect
81. #16840333C22semidirect
83. #16840329C22semidirect
84. #16840319C22semidirect
85. #16840316C22semidirect
86. #16840316C22semidirect
87. #16840315C22semidirect
88. #16840309C22semidirect
89. #16840309C22semidirect
90. #16840309C22semidirect
91. #16840308C22semidirect
92. #16840299C22semidirect
93. #16840299C22semidirect
94. #16840296C22semidirect
95. #16840294C22semidirect
96. #16840294C22semidirect
97. #16840294C22semidirect
98. #16840294C22semidirect
99. #16840294C22semidirect
100. #16840294C22semidirect
101. #16840294C22semidirect
102. #16840294C22semidirect
103. #16840294C22semidirect
104. #16840294C22semidirect
105. #16840292C22semidirect
106. #16840292C22semidirect
107. #16840292C22semidirect
108. #16840290C22semidirect
109. #16840290C22semidirect
110. C2×#14519770C22semidirect
111. C2×#14519768C22semidirect
112. C2×#14519764C22semidirect
113. #16840274C22semidirect
114. #16840273C22semidirect
115. #16840271C22semidirect
116. #16840271C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519757C22semidirect
122. #16840242C22semidirect
123. #16840241C22semidirect
124. #16840239C22semidirect
125. #16840238C22semidirect
127. C4×#11758226C22semidirect
128. C4×#11758226C22semidirect
129. C4×#11758222C22semidirect
130. C4×#11758222C22semidirect
131. C4×#11758222C22semidirect
132. C4×#11758222C22semidirect
133. #16840230C22semidirect
134. C4×#11758224C22semidirect
135. C4×#11758224C22semidirect
136. C4×#11758224C22semidirect
137. C2×C4×Dic122C22semidirect
138. C4×Q8×D61C22semidirect
139. C4×Q8×D61C22semidirect
140. C4×Q8×D61C22semidirect
141. C2×C4×C22⋊D61C22semidirect
142. C4×D4×D61C22semidirect
143. C4×D4×D61C22semidirect
144. C2×#14519736C22semidirect
145. #117×D61C22semidirect
146. C2×C42×D61C22semidirect
149. C61×#520C22semidirect
150. C61×#520C22semidirect
151. C61×#518C22semidirect
152. C61×#518C22semidirect
154. C4×#41×C61C22semidirect
155. C4×#41×C61C22semidirect
156. C2×C4×D4×C61C22semidirect
157. C2×C4×D4×C61C22semidirect
405. #41×C61#41semidirect
693. C4×H(5,𝔽2)D61semidirect
805. #520C2×D61semidirect
806. #520C2×D61semidirect
809. #518C2×D61semidirect
810. #518C2×D61semidirect
823. C4×#41C2×D61semidirect
824. C4×#41C2×D61semidirect
832. C2×C4×D4C2×D61semidirect
833. C2×C4×D4C2×D61semidirect
837. C61#62810semidirect
1092. #41#11758222semidirect

Maximal subgroups

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

subgroupindex
#214599202
#214598752
#214598042
#214597472
#214597362
#214597102
#214596412
#214596072
#214595722
#214595442
#214595002
#214594812
#214594412
#214594232
#214594172
#214593772
#214592462
#214592412
#214591122
C2×#168402942
C4×#145198242
C4×#41×D612
C4×H(5,𝔽2)×C612
#6281061