Finite Group Databasebeta

← #29656008

Subgroups — #29656008

Order 15616.

914 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456401C211yesmaximal, characteristic, complemented
2#21455858C211yesmaximal, characteristic, complemented
3#21455607C211yesmaximal, characteristic
4#21445068C211yesmaximal, characteristic, complemented
5#21445061C211yesmaximal, characteristic, complemented
6#21445040C211yesmaximal, characteristic, complemented
7#21445033C211yesmaximal, characteristic, complemented
8#21444984C211yesmaximal, characteristic, complemented
9#21444977C211yesmaximal, characteristic, complemented
10#21444959C211yesmaximal, characteristic, complemented
11#21444953C211yesmaximal, characteristic, complemented
12#21444476C211yesmaximal, characteristic, complemented
13#21444201C211yesmaximal, characteristic
14C2×Q8⋊#92418C211yesmaximal, characteristic, complemented
15Q8×#41×C61C211yesmaximal, characteristic
16#16840319C2211yescharacteristic
17#16840165C2211yescharacteristic
18#16840141C2211yescharacteristic
19#16840114C2211yescharacteristic
20#16840112C2211yescharacteristic
21#16840097—21no—
22#16840069—21no—
23#16840062—21no—
24#16840057C2211yescharacteristic
25#16840057C2211yescharacteristic
26#16840057C2211yescharacteristic
27#16840052C2211yescharacteristic
28#16840047C2211yescharacteristic
29#16840042C2211yescharacteristic
30#16840001—22no—
31#16839972C2211yescharacteristic
32#16839972C2211yescharacteristic
33#16839918—21no—
34C4×#11758202—22no—
35C4×#11758202—21no—
36C4×#11758202—21no—
37#16839815C2211yescharacteristic
38#16839798—21no—
39C2×C4⋊#92418C2211yescharacteristic
40#16839758—21no—
41C2×C4×#92418C2211yescharacteristic
42#16839511C2211yescharacteristic
43#16839511C2211yescharacteristic
44#16839508C2211yescharacteristic
45#16839508C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50Q8⋊#92418C2211yescharacteristic
51Q8⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54Q82×C61C2211yescharacteristic
55C61×#557—21no—
56C61×#557C2211yescharacteristic
57C61×#554—22no—
58C61×#554—21no—
59C61×#554—21no—
60C61×#554C2211yescharacteristic
61D4×Q8×C61—21no—
62D4×Q8×C61C2211yescharacteristic
63C61×#533—22no—
64C61×#533—21no—
65C61×#533—21no—
66C61×#533C2211yescharacteristic
67C4×#41×C61—21no—
68C4×#41×C61C2211yescharacteristic
69C2×C4×Q8×C61—21no—
70C2×C4×Q8×C61C2211yescharacteristic
71C2×#11758202—21no—
72C2×#11758202—21no—
73C2×#11758202—22no—
74C22×#92418—21no—
75C22×#92418—21no—
76#14519777C2311yescharacteristic
77#14519777C2311yescharacteristic
78#14519769—21no—
79#14519756—21no—
80#14519756—21no—
81C4×Dic122—21no—
82C4×Dic122—21no—
83#14519736—21no—
84#14519710—22no—
85#14519710—21no—
86#14519710—21no—
87#14519710—21no—
88#14519710—21no—
89#14519708—21no—
90#14519708—21no—
91C4⋊#92418—21no—
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96#14519701—22no—
97#14519701—21no—
98#14519701—21no—
99#14519701—21no—
100#14519701—21no—
101#14519700—21no—
102#14519700—21no—
103#14519700—22no—
104#14519698—21no—
105#14519698—21no—
106C22⋊#92418—21no—
107C4×#92418—21no—
108C4×#92418—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61D411yescharacteristic
112C22×Q8×C61—21no—
113C22×Q8×C61D411yescharacteristic
114C4⋊Q8×C61—22no—
115C4⋊Q8×C61—21no—
116C4⋊Q8×C61—22no—
117C4⋊Q8×C61—21no—
118C4⋊Q8×C61—21no—
119C4⋊Q8×C61—21no—
120C4⋊Q8×C61C2311yescharacteristic
121C4⋊Q8×C61C2311yescharacteristic
122#125×C61—22no—
123#125×C61—22no—
124#125×C61—22no—
125#125×C61—21no—
126#125×C61—21no—
127#125×C61—21no—
128C22⋊Q8×C61—22no—
129C22⋊Q8×C61—22no—
130C22⋊Q8×C61—22no—
131C22⋊Q8×C61—22no—
132C22⋊Q8×C61—22no—
133C22⋊Q8×C61—21no—
134C22⋊Q8×C61—22no—
135C22⋊Q8×C61—21no—
136C22⋊Q8×C61—21no—
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61D412yes—
139C4×Q8×C61—22no—
140C4×Q8×C61—22no—
141C4×Q8×C61—22no—
142C4×Q8×C61—21no—
143C4×Q8×C61—21no—
144C4×Q8×C61—21no—
145C4×Q8×C61—21no—
146C4×Q8×C61—21no—
147C4×Q8×C61—21no—
148C4×Q8×C61—21no—
149C4×Q8×C61D412yes—
150C4×Q8×C61D411yescharacteristic
151C4×Q8×C61D411yescharacteristic
152C4×Q8×C61D411yescharacteristic
153C4×Q8×C61C2311yescharacteristic
154C4×Q8×C61C2311yescharacteristic
155C4×Q8×C61C2311yescharacteristic
156C4×D4×C61—22no—
157C4×D4×C61—22no—
158C4×D4×C61—21no—
159C4×D4×C61—21no—
160C4×D4×C61—21no—
161C4×D4×C61—21no—
162C4×D4×C61D411yescharacteristic
163C4×D4×C61C2311yescharacteristic
164#117×C61—22no—
165#117×C61—21no—
166#117×C61—21no—
167#117×C61D411yescharacteristic
168C2×C4⋊C4×C61—22no—
169C2×C4⋊C4×C61—21no—
170C2×C4⋊C4×C61—21no—
171C2×C4⋊C4×C61D411yescharacteristic
172C2×C42×C61—22no—
173C2×C42×C61—21no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176#41×C61—22no—
177#41×C61Q1614yescomplemented
178C2×Q8×C61—22no—
179C2×Q8×C61—22no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—22no—
183C2×Q8×C61—41no—
184C2×Q8×C61—42no—
185C2×Q8×C61—42no—
186C2×Q8×C61C2×D411yescharacteristic
187C2×Q8×C61C2×D411yescharacteristic
188C2×Q8×C61C2×D411yescharacteristic
189C2×Q8×C61C2×D412yes—
190C2×D4×C61—21no—
191C2×D4×C61C2×D411yescharacteristic
192C22×C4×C61—21no—
193C22×C4×C61—22no—
194C22×C4×C61—21no—
195C22×C4×C61—22no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61—21no—
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D411yescharacteristic
201C22×C4×C61C2×D411yescharacteristic
202C2×Dic122—21no—
203C2×Dic122—21no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—22no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C4⋊C4×C61C2×D412yes—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—21no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—21no—
235C42×C61—22no—
236C42×C61—22no—
237C42×C61—21no—
238C42×C61—22no—
239C42×C61—21no—
240C42×C61—21no—
241C42×C61—21no—
242C42×C61—21no—
243C42×C61—21no—
244C42×C61—21no—
245C42×C61C2×D411yescharacteristic
246C42×C61C2×D411yescharacteristic
247C42×C61C2×D411yescharacteristic
248C42×C61C2411yescharacteristic
249C22⋊Dic61—41no—
250#11758202—44no—
251#11758202—42no—
252#11758202—42no—
253C4⋊Dic61—21no—
254C4⋊Dic61—21no—
255C4⋊Dic61—21no—
256C4⋊Dic61—21no—
257#11758196—41no—
258#11758196—41no—
259C4×Dic61—41no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—42no—
267C2×#92418—42no—
268C23×C61—21no—
269C23×C61#12011yescharacteristic
270Q8×C61—21no—
271Q8×C61—21no—
272Q8×C61—21no—
273Q8×C61—21no—
274Q8×C61—42no—
275Q8×C61—44no—
276Q8×C61—42no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61—82no—
280Q8×C61C2×Q1612yes—
281Q8×C61#13512yes—
282D4×C61—24no—
283D4×C61—21no—
284D4×C61C2×Q1612yes—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—24no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—22no—
293C2×C4×C61—22no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—41no—
298C2×C4×C61—42no—
299C2×C4×C61—44no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—81no—
303C2×C4×C61—81no—
304C2×C4×C61—82no—
305C2×C4×C61#12011yescharacteristic
306C2×C4×C61#12011yescharacteristic
307C2×C4×C61#12011yescharacteristic
308C2×C4×C61C2×Q1612yes—
309C2×C4×C61#13712yes—
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×Dic61—41no—
314C2×Dic61—41no—
315Dic122—42no—
316Dic122—41no—
317Dic122—41no—
318#92418—22no—
319#92418—41no—
320#92418—41no—
321#92418—41no—
322#92418—41no—
323#92418—41no—
324#18519—611nomaximal, Sylow
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—22no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61#45112yes—
331C22×C61C2×#12011yescharacteristic
332C4×C61—22no—
333C4×C61—21no—
334C4×C61—22no—
335C4×C61—21no—
336C4×C61—21no—
337C4×C61—41no—
338C4×C61—42no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—42no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61#45112yes—
345C4×C61C22×Q1611yescharacteristic
346C4×C61C2×#13511yescharacteristic
347C4×C61C2×#13711yescharacteristic
348C4×C61#57511yescharacteristic
349Dic61—81no—
350Dic61—81no—
351Q8×#41D6111yescharacteristic
352#3170—611no—
353#3104—611no—
354#3076—611no—
355#1649—611no—
356#1648—611no—
357#1645—611no—
358#1644—611no—
359#1637—611no—
360#1636—611no—
361#1633—611no—
362#1632—611no—
363#1542—611no—
364#1476—611no—
365C2×Q8⋊C8—611no—
366C2×C61—22no—
367C2×C61—42no—
368C2×C61C2×#45111yescharacteristic
369C2×C61#300211yescharacteristic
370C2×C61#301811yescharacteristic
371Q82C2×D6111yescharacteristic
372#557—21no—
373#557C2×D6111yescharacteristic
374#554—22no—
375#554—21no—
376#554—21no—
377#554C2×D6111yescharacteristic
378D4×Q8—21no—
379D4×Q8C2×D6111yescharacteristic
380#533—22no—
381#533—21no—
382#533—21no—
383#533—611no—
384#533C2×D6111yescharacteristic
385C4×#41—21no—
386C4×#41C2×D6111yescharacteristic
387C2×C4×Q8—21no—
388C2×C4×Q8C2×D6111yescharacteristic
389#500—611no—
390#494—611no—
391#487—611no—
392#487—611no—
393#484—1221no—
394#479—1221no—
395#478—1221no—
396#477—611no—
397#477—611no—
398#477—611no—
399#476—611no—
400#475—611no—
401#474—611no—
402#467—1222no—
403#462—611no—
404#462—611no—
405#451—1221no—
406C4×Q16—1221no—
407C4×Q16—1221no—
408C4×Q16—1222no—
409#431—611no—
410#427—1221no—
411C2×C4⋊C8—611no—
412#416—1221no—
413C2×C4×C8—611no—
414#333—611no—
415#333—611no—
416#332—611no—
417#332—611no—
418Q8⋊C8—611no—
419Q8⋊C8—611no—
420Q8⋊C8—611no—
421Q8⋊C8—611no—
422Q8⋊C8—611no—
423Q8⋊C8—611no—
424D4⋊C8—611no—
425D4⋊C8—611no—
426C61#1851911yescharacteristic, complemented, Sylow
427C2×#41C22⋊D6111yescharacteristic
428C22×Q8—21no—
429C22×Q8C22⋊D6111yescharacteristic
430C2×Q16—1221no—
431C2×Q16—1221no—
432C2×Q16—1222no—
433C22×C8—1221no—
434C22×C8—1221no—
435C4⋊Q8—22no—
436C4⋊Q8—21no—
437C4⋊Q8—22no—
438C4⋊Q8—21no—
439C4⋊Q8—21no—
440C4⋊Q8—21no—
441C4⋊Q8—611no—
442C4⋊Q8—611no—
443C4⋊Q8C22×D6111yescharacteristic
444C4⋊Q8C22×D6111yescharacteristic
445#125—22no—
446#125—22no—
447#125—22no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125—1221no—
452C22⋊Q8—22no—
453C22⋊Q8—22no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8—22no—
457C22⋊Q8—21no—
458C22⋊Q8—22no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461C22⋊Q8—22no—
462C22⋊Q8—1221no—
463C22⋊Q8—1221no—
464C22⋊Q8C22⋊D6112yes—
465C4×Q8—22no—
466C4×Q8—22no—
467C4×Q8—22no—
468C4×Q8—21no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—1221no—
476C4×Q8—1221no—
477C4×Q8C22⋊D6111yescharacteristic
478C4×Q8C22⋊D6111yescharacteristic
479C4×Q8C22⋊D6111yescharacteristic
480C4×Q8C22⋊D6112yes—
481C4×Q8C22×D6111yescharacteristic
482C4×Q8C22×D6111yescharacteristic
483C4×Q8C22×D6111yescharacteristic
484C4×D4—22no—
485C4×D4—22no—
486C4×D4—21no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4C22⋊D6111yescharacteristic
491C4×D4C22×D6111yescharacteristic
492#117—22no—
493#117—21no—
494#117—21no—
495#117—1221no—
496#117C22⋊D6111yescharacteristic
497C2×C4⋊C4—22no—
498C2×C4⋊C4—21no—
499C2×C4⋊C4—21no—
500C2×C4⋊C4C22⋊D6111yescharacteristic
501C2×C42—22no—
502C2×C42—21no—
503C2×C42—21no—
504C2×C42C22×D6111yescharacteristic
505#107—1221no—
506#107—1221no—
507#107—1222no—
508#107—1221no—
509#107—1221no—
510#106—1221no—
511#106—1221no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8—611no—
515C4⋊C8—611no—
516C4⋊C8—1221no—
517#103—1221no—
518#103—1221no—
519#103—1221no—
520#103—1221no—
521#103—1222no—
522#103—1221no—
523#103—1221no—
524#103—1222no—
525#102—1221no—
526#102—1221no—
527C22⋊C8—1221no—
528C4×C8—611no—
529C4×C8—611no—
530C4×C8—1221no—
531C4×C8—1221no—
532#41—22no—
533#41#1175820214yescomplemented
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8—42no—
542C2×Q8—1221no—
543C2×Q8—1221no—
544C2×Q8C2×C22⋊D6111yescharacteristic
545C2×Q8C2×C22⋊D6111yescharacteristic
546C2×Q8C2×C22⋊D6111yescharacteristic
547C2×Q8C2×C22⋊D6112yes—
548C2×D4—21no—
549C2×D4C2×C22⋊D6111yescharacteristic
550C22×C4—21no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—22no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4C2×C22⋊D6111yescharacteristic
558C22×C4C2×C22⋊D6111yescharacteristic
559C22×C4C2×C22⋊D6111yescharacteristic
560Q16—2444no—
561Q16—2442no—
562Q16—2442no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—2442no—
570C2×C8—2442no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—22no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—22no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—2441no—
596C4⋊C4—2441no—
597C4⋊C4C2×C22⋊D6111yescharacteristic
598C4⋊C4C2×C22⋊D6111yescharacteristic
599C4⋊C4C2×C22⋊D6112yes—
600C4⋊C4C2×C22⋊D6111yescharacteristic
601C4⋊C4C2×C22⋊D6111yescharacteristic
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—2441no—
609C42—22no—
610C42—22no—
611C42—21no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—22no—
617C42—21no—
618C42—21no—
619C42—2441no—
620C42C2×C22⋊D6111yescharacteristic
621C42C2×C22⋊D6111yescharacteristic
622C42C2×C22⋊D6111yescharacteristic
623C42C23×D6111yescharacteristic
624C23—21no—
625C23#1451974611yescharacteristic
626Q8—21no—
627Q8—21no—
628Q8—21no—
629Q8—21no—
630Q8—42no—
631Q8—42no—
632Q8—44no—
633Q8—41no—
634Q8—41no—
635Q8—82no—
636Q8—2442no—
637Q8—2441no—
638Q8—2441no—
639Q8C2×#1175820212yes—
640Q8#1451979712yes—
641D4—24no—
642D4—21no—
643D4C2×#1175820212yes—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—24no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4#1451974611yescharacteristic
667C2×C4#1451974611yescharacteristic
668C2×C4#1451974611yescharacteristic
669C2×C4C2×#1175820212yes—
670C2×C4#1451980812yes—
671C2×C4C22×C22⋊D6111yescharacteristic
672C2×C4C22×C22⋊D6111yescharacteristic
673C2×C4C22×C22⋊D6111yescharacteristic
674C8—1222no—
675C8—2441no—
676C8—2441no—
677C8—2441no—
678C8—2441no—
679C8—2441no—
680C22—21no—
681C22—21no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22#1683991812yes—
686C22C2×#1451974611yescharacteristic
687C4—21no—
688C4—21no—
689C4—22no—
690C4—21no—
691C4—22no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—41no—
699C4—4881no—
700C4—4881no—
701C4#1683991812yes—
702C4C22×#1175820211yescharacteristic
703C4C2×#1451979711yescharacteristic
704C4C2×#1451980811yescharacteristic
705C4#1684056011yescharacteristic
706C2—22no—
707C2—42no—
708C2C2×#1683991811yescharacteristic
709C2#2145503711yescharacteristic
710C2#2145516811yescharacteristic
subgroupG/H
centerC2×C4#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
FittingQ8×#41×C61C2
socleC22×C61C2×#120
prime radicalC2×#41×C61D4
hypercenterQ8×#41D61
hypocenterC61#18519
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. #21456401C2semidirect
2. #21455858C2semidirect
4. #21445068C2semidirect
5. #21445061C2semidirect
6. #21445040C2semidirect
7. #21445033C2semidirect
8. #21444984C2semidirect
9. #21444977C2semidirect
10. #21444959C2semidirect
11. #21444953C2semidirect
12. #21444476C2semidirect
14. C2×Q8⋊#92418C2semidirect
177. #41×C61Q16semidirect
426. C61#18519semidirect
533. #41#11758202semidirect

Maximal subgroups

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

subgroupindex
#214564012
#214558582
#214556072
#214450682
#214450612
#214450402
#214450332
#214449842
#214449772
#214449592
#214449532
#214444762
#214442012
C2×Q8⋊#924182
Q8×#41×C612
#1851961