Finite Group Databasebeta

← #34306719

Subgroups — #34306719

Order 20224.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098682C211yesmaximal, characteristic
2C2×#19098677C211yesmaximal, characteristic
3#23772198C211yesmaximal, characteristic
4#23771969C211yesmaximal, characteristic, complemented
5#23771968C211yesmaximal, characteristic, complemented
6#23764152C211yesmaximal, characteristic, complemented
7#23764147C211yesmaximal, characteristic, complemented
8#23763676C211yesmaximal, characteristic, complemented
9#23763676C211yesmaximal, characteristic, complemented
10#23763673C211yesmaximal, characteristic, complemented
11#23763673C211yesmaximal, characteristic, complemented
12#23763574C211yesmaximal, characteristic, complemented
13#23763421C211yesmaximal, characteristic, complemented
14#23763275C211yesmaximal, characteristic, complemented
15C79×#1806C211yesmaximal, characteristic, complemented
16C2×#14579181C2211yescharacteristic
17C2×#14579169C2211yescharacteristic
18C2×#14579169C2211yescharacteristic
19C2×#14579168C2211yescharacteristic
20C2×#14579168C2211yescharacteristic
21C4×#11929624C2211yescharacteristic
22#19098682—24no—
23#19098677—24no—
24#19098673C411yescharacteristic, complemented
25#19098673C411yescharacteristic, complemented
26#19098668C411yescharacteristic, complemented
27#19098668C411yescharacteristic, complemented
28#19098663C411yescharacteristic, complemented
29#19098663C411yescharacteristic, complemented
30#19098661C411yescharacteristic, complemented
31#19098661C411yescharacteristic, complemented
32C2×#14579096C2211yescharacteristic
33C2×#14579096C2211yescharacteristic
34C2×#14579096C2211yescharacteristic
35C2×#14579096C2211yescharacteristic
36#19098599C2211yescharacteristic
37#19098591C2211yescharacteristic
38#19098591C2211yescharacteristic
39#19098590—21no—
40#19098590—21no—
41#19098590C2211yescharacteristic
42#19098590C2211yescharacteristic
43#19098588—21no—
44#19098588—21no—
45#19098587—21no—
46#19098587C2211yescharacteristic
47#19098585—21no—
48C2×C4⋊(C79⋊C8)—21no—
49C2×C4⋊(C79⋊C8)C2211yescharacteristic
50C4⋊C8×D79—21no—
51C2×#14579089C2211yescharacteristic
52C2×#14579089C2211yescharacteristic
53#19098559C2211yescharacteristic
54#19098557C2211yescharacteristic
55C2×#14579072C2211yescharacteristic
56C2×#14579072C2211yescharacteristic
57C2×C4×C79⋊C8C2211yescharacteristic
58#19098323C2211yescharacteristic
59#19098323C2211yescharacteristic
60#19098318C2211yescharacteristic
61#19098318C2211yescharacteristic
62C4×#41×C79C2211yescharacteristic
63#423×C79C2211yescharacteristic
64C2×#104×C79C2211yescharacteristic
65C2×#104×C79C2211yescharacteristic
66C4×C4⋊C4×C79C2211yescharacteristic
67#339×C79C2211yescharacteristic
68#339×C79C2211yescharacteristic
69C2×#11929624C2311yescharacteristic
70#14579181D414yes—
71#14579181Q814yes—
72C2×#11929614C2×C411yescharacteristic
73C2×#11929612C2×C411yescharacteristic
74C2×#11929611C2×C411yescharacteristic
75C2×#11929609C2×C411yescharacteristic
76#14579169—22no—
77#14579169—22no—
78#14579169—41no—
79#14579169—41no—
80#14579168—22no—
81#14579168—22no—
82#14579168—41no—
83#14579168—41no—
84C2×#11929608—21no—
85C2×#11929608—21no—
86C2×#11929608C2311yescharacteristic
87C2×#11929608C2311yescharacteristic
88C2×#11929607—21no—
89C2×#11929607—21no—
90C22×C79⋊C8—21no—
91C22×C79⋊C8—21no—
92C22×C79⋊C8C2311yescharacteristic
93C22×C79⋊C8C2311yescharacteristic
94C22×C79⋊C8C2311yescharacteristic
95C22×C79⋊C8C2311yescharacteristic
96C2×C8×D79—21no—
97C2×C8×D79—21no—
98C4×Dic158C2×C411yescharacteristic
99C4×Dic158C2×C411yescharacteristic
100C4×D316C2×C411yescharacteristic
101C4×D316C2×C411yescharacteristic
102C4×C22⋊D79—21no—
103C4×C22⋊D79—21no—
104#14579120C2311yescharacteristic
105#14579118—21no—
106C42×D79—21no—
107#14579096—22no—
108#14579096—22no—
109#14579096—41no—
110#14579096—41no—
111#14579094C2×C411yescharacteristic
112#14579094C2×C411yescharacteristic
113#14579092C2×C411yescharacteristic
114#14579092C2×C411yescharacteristic
115C4⋊(C79⋊C8)—21no—
116C4⋊(C79⋊C8)—21no—
117C4⋊(C79⋊C8)—21no—
118C4⋊(C79⋊C8)—21no—
119C4⋊(C79⋊C8)—21no—
120C4⋊(C79⋊C8)—21no—
121C4⋊(C79⋊C8)D411yescharacteristic
122C4⋊(C79⋊C8)D411yescharacteristic
123C4⋊(C79⋊C8)D411yescharacteristic
124C4⋊(C79⋊C8)D411yescharacteristic
125Dic79⋊C8—21no—
126Dic79⋊C8—21no—
127Dic79⋊C8—21no—
128Dic79⋊C8—21no—
129#14579089—22no—
130#14579089—22no—
131#14579085C2×C411yescharacteristic
132#14579085C2×C411yescharacteristic
133#14579084C2×C411yescharacteristic
134#14579084C2×C411yescharacteristic
135#14579082C2×C411yescharacteristic
136#14579082C2×C411yescharacteristic
137#14579081C2×C411yescharacteristic
138#14579081C2×C411yescharacteristic
139#14579072—22no—
140#14579072C2×C411yescharacteristic
141#14579072C2×C411yescharacteristic
142#14579072C2×C411yescharacteristic
143#14579072C2×C411yescharacteristic
144C4×C79⋊C8—22no—
145C2×#41×C79C2311yescharacteristic
146C2×M16×C79C2311yescharacteristic
147C2×M16×C79C2311yescharacteristic
148C4×Q8×C79C2×C411yescharacteristic
149C4×Q8×C79C2×C411yescharacteristic
150C4×D4×C79—21no—
151C4×D4×C79—21no—
152C4×D4×C79C2×C411yescharacteristic
153C4×D4×C79C2×C411yescharacteristic
154#117×C79—21no—
155#117×C79C2311yescharacteristic
156C2×C4⋊C4×C79—21no—
157C2×C42×C79—21no—
158C2×C42×C79C2311yescharacteristic
159C2×C42×C79C2311yescharacteristic
160C2×C42×C79C2311yescharacteristic
161C4⋊C8×C79—21no—
162C4⋊C8×C79—21no—
163#104×C79—22no—
164#104×C79—22no—
165#95×C79—21no—
166#11929624—21no—
167#11929624—21no—
168#11929624C2×D412yes—
169#11929624C2×Q812yes—
170C2×Dic158C22×C411yescharacteristic
171C2×D316C22×C411yescharacteristic
172C2×C22⋊D79—21no—
173C2×C4×D79—21no—
174C2×C4×D79—21no—
175C2×C4×D79—21no—
176#11929614C4⋊C414yescomplemented
177#11929612C4⋊C414yescomplemented
178#11929611C4⋊C414yescomplemented
179#11929609C4⋊C414yescomplemented
180#11929608—21no—
181#11929608—21no—
182#11929608—21no—
183#11929608—21no—
184#11929608—42no—
185#11929608—42no—
186#11929607—42no—
187#11929607—42no—
188C2×C79⋊C8—21no—
189C2×C79⋊C8—21no—
190C2×C79⋊C8—21no—
191C2×C79⋊C8—21no—
192C2×C79⋊C8—21no—
193C2×C79⋊C8—21no—
194C2×C79⋊C8—21no—
195C2×C79⋊C8—21no—
196C2×C79⋊C8—42no—
197C2×C79⋊C8—42no—
198C2×C79⋊C8C22×C411yescharacteristic
199C2×C79⋊C8C22×C411yescharacteristic
200C2×C79⋊C8C22×C411yescharacteristic
201C2×C79⋊C8C22×C411yescharacteristic
202C2×C79⋊C8C2×D411yescharacteristic
203C2×C79⋊C8C2×D411yescharacteristic
204C2×C79⋊C8C2×D411yescharacteristic
205C2×C79⋊C8C2×D411yescharacteristic
206C2×C79⋊C8C2×D412yes—
207C2×C79⋊C8C2×Q812yes—
208C8×D79—42no—
209C8×D79—42no—
210C4⋊Dic79C22×C411yescharacteristic
211C4⋊Dic79C22×C411yescharacteristic
212Dic79⋊C4—21no—
213Dic79⋊C4—21no—
214C22⋊Dic79—21no—
215(C2×D79)⋊C4—21no—
216(C2×D79)⋊C4—21no—
217C4×Dic79—21no—
218C4×Dic79—21no—
219C4×Dic79—21no—
220#41×C79—21no—
221#41×C79—21no—
222#41×C79C2×D412yes—
223#41×C79C2×Q812yes—
224C2×Q8×C79C22×C411yescharacteristic
225C2×D4×C79—21no—
226C2×D4×C79C22×C411yescharacteristic
227C22×C4×C79—21no—
228C22×C4×C79—21no—
229C22×C4×C79—21no—
230C22×C4×C79—21no—
231C22×C4×C79—21no—
232C22×C4×C79#4111yescharacteristic
233C22×C4×C79#4111yescharacteristic
234C22×C4×C79C2411yescharacteristic
235M16×C79—21no—
236M16×C79—21no—
237M16×C79—21no—
238M16×C79—21no—
239C2×C8×C79—21no—
240C2×C8×C79—21no—
241C4⋊C4×C79—21no—
242C4⋊C4×C79—21no—
243C4⋊C4×C79—42no—
244C4⋊C4×C79C22×C411yescharacteristic
245C4⋊C4×C79C22×C411yescharacteristic
246C22⋊C4×C79—21no—
247C22⋊C4×C79—21no—
248C22⋊C4×C79—21no—
249C42×C79—21no—
250C42×C79—21no—
251C42×C79—21no—
252C42×C79—21no—
253C42×C79—21no—
254C42×C79—21no—
255C42×C79—21no—
256C42×C79C22×C411yescharacteristic
257C42×C79C22×C411yescharacteristic
258C42×C79C2×D411yescharacteristic
259C42×C79C2×D411yescharacteristic
260C23×C79—21no—
261C23×C79C2×#4111yescharacteristic
262C22×D79—21no—
263Q8×C79—21no—
264Q8×C79C2×C4⋊C412yes—
265D4×C79—22no—
266D4×C79—22no—
267D4×C79—21no—
268D4×C79C2×C4⋊C412yes—
269C2×C4×C79—21no—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—22no—
273C2×C4×C79—21no—
274C2×C4×C79—21no—
275C2×C4×C79—41no—
276C2×C4×C79—41no—
277C2×C4×C79—42no—
278C2×C4×C79—41no—
279C2×C4×C79—41no—
280C2×C4×C79—41no—
281C2×C4×C79—41no—
282C2×C4×C79—41no—
283C2×C4×C79—81no—
284C2×C4×C79C4×D411yescharacteristic
285C2×C4×C79C4×D411yescharacteristic
286C2×C4×C79C4×D411yescharacteristic
287C2×C4×C79C4×D411yescharacteristic
288C2×C4×C79C23×C411yescharacteristic
289C2×C4×C79C22×D411yescharacteristic
290C2×C4×C79C22×D411yescharacteristic
291C2×C4×C79C22×Q811yescharacteristic
292C2×C4×C79H(5,𝔽2)11yescharacteristic
293C2×C4×C792−1+411yescharacteristic
294C22⋊D79—22no—
295C22⋊D79—22no—
296C2×Dic79—21no—
297C2×Dic79—21no—
298C2×Dic79—21no—
299D316—21no—
300D316C2×C4⋊C412yes—
301C4×D79—22no—
302C4×D79—22no—
303C4×D79—42no—
304C4×D79—81no—
305Dic158—21no—
306Dic158C2×C4⋊C412yes—
307C8×C79—41no—
308C8×C79—41no—
309C79⋊C8—21no—
310C79⋊C8—21no—
311C79⋊C8—21no—
312C79⋊C8—21no—
313C79⋊C8—21no—
314C79⋊C8—21no—
315C79⋊C8—41no—
316C79⋊C8—41no—
317C79⋊C8C2×C4⋊C412yes—
318C79⋊C8C2×C4⋊C412yes—
319C22×C79—21no—
320C22×C79—21no—
321C22×C79—22no—
322C22×C79—41no—
323C22×C79—41no—
324C22×C79C2×C4×D411yescharacteristic
325C22×C79#54711yescharacteristic
326C22×C79#55411yescharacteristic
327C2×D79—22no—
328C2×D79—41no—
329C2×D79—41no—
330C4×C79—22no—
331C4×C79—21no—
332C4×C79—21no—
333C4×C79—21no—
334C4×C79—21no—
335C4×C79—42no—
336C4×C79—41no—
337C4×C79—41no—
338C4×C79—81no—
339C4×C79C22×C4⋊C411yescharacteristic
340C4×C79#52011yescharacteristic
341C4×C79D4211yescharacteristic
342C4×C79D4×Q811yescharacteristic
343Dic79—22no—
344Dic79—41no—
345Dic79—41no—
346#22687—791nomaximal, Sylow
347C2×C79—21no—
348C2×C79—21no—
349C2×C79—42no—
350C2×C79D4×C4⋊C411yescharacteristic
351C2×C79#295511yescharacteristic
352C2×C79#295611yescharacteristic
353D79—42no—
354C2×#444—791no—
355C2×#443—791no—
356#2943—791no—
357#2906—791no—
358#2906—791no—
359#1946—791no—
360#1945—791no—
361#1866—791no—
362#1866—791no—
363#1866—791no—
364#1866—791no—
365#1849—791no—
366#1806—791no—
367#1806D7911yescharacteristic, complemented
368#1771—791no—
369C79#2268711yescharacteristic, complemented, Sylow
370C2×#135—791no—
371C2×#131—791no—
372C2×#131—791no—
373C2×#131—791no—
374C2×#131—791no—
375C4×#41—791no—
376C4×#41C2×D7911yescharacteristic
377#444—1584no—
378#443—1584no—
379#442—791no—
380#442—791no—
381#441—791no—
382#441—791no—
383#440—791no—
384#440—791no—
385#440—791no—
386#440—791no—
387C2×#108—791no—
388C2×#108—791no—
389C2×#108—791no—
390C2×#108—791no—
391#427—791no—
392#424—791no—
393#424—791no—
394#424—791no—
395#424—791no—
396#424—1581no—
397#424—1581no—
398#424—1581no—
399#424—1581no—
400#423—791no—
401#423—1581no—
402#423—1581no—
403#423C2×D7911yescharacteristic
404C2×C4⋊C8—791no—
405C2×C4⋊C8—1581no—
406C2×C4⋊C8—1581no—
407C2×#104—791no—
408C2×#104—791no—
409C2×#104C2×D7911yescharacteristic
410C2×#104C2×D7911yescharacteristic
411#416—791no—
412#416—791no—
413C2×#97—791no—
414C2×#97—791no—
415C2×C4×C8—791no—
416C4×C4⋊C4C2×D7911yescharacteristic
417#339—791no—
418#339—791no—
419#339C2×D7911yescharacteristic
420#339C2×D7911yescharacteristic
421#336—791no—
422#336—791no—
423C2×#41—791no—
424C2×#41C22×D7911yescharacteristic
425#135—794no—
426#135—794no—
427C2×Q16—791no—
428C2×SD16—791no—
429C2×SD16—791no—
430C2×D8—791no—
431#131—3161no—
432#131—3161no—
433#131—3161no—
434#131—3161no—
435#131—1582no—
436#131—1582no—
437#131—1582no—
438#131—1582no—
439C2×M16—791no—
440C2×M16—791no—
441C2×M16—1581no—
442C2×M16—1581no—
443C2×M16—1581no—
444C2×M16—1581no—
445C2×M16C22×D7911yescharacteristic
446C2×M16C22×D7911yescharacteristic
447C22×C8—791no—
448C22×C8—791no—
449C22×C8—791no—
450C22×C8—791no—
451C22×C8—1581no—
452C22×C8—1581no—
453C22×C8—1581no—
454C22×C8—1581no—
455C4×Q8—791no—
456C4×Q8—791no—
457C4×Q8C4×D7911yescharacteristic
458C4×Q8C4×D7911yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—791no—
462C4×D4—791no—
463C4×D4—1581no—
464C4×D4—1581no—
465C4×D4C4×D7911yescharacteristic
466C4×D4C4×D7911yescharacteristic
467#117—21no—
468#117—791no—
469#117—1581no—
470#117C22×D7911yescharacteristic
471C2×C4⋊C4—21no—
472C2×C42—21no—
473C2×C42—1581no—
474C2×C42C22×D7911yescharacteristic
475C2×C42C22×D7911yescharacteristic
476C2×C42C22×D7911yescharacteristic
477#108—3161no—
478#108—3161no—
479#108—1582no—
480#108—1582no—
481#107—791no—
482#107—791no—
483#106—791no—
484#106—791no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—791no—
488C4⋊C8—791no—
489C4⋊C8—791no—
490C4⋊C8—791no—
491C4⋊C8—1581no—
492C4⋊C8—1581no—
493C4⋊C8—1581no—
494C4⋊C8—1581no—
495C4⋊C8—1581no—
496C4⋊C8—1581no—
497C4⋊C8—1581no—
498C4⋊C8—1581no—
499C4⋊C8—1581no—
500C4⋊C8—1581no—
501#104—22no—
502#104—22no—
503#104—1582no—
504#104—1582no—
505#103—791no—
506#103—791no—
507#103—791no—
508#103—791no—
509#102—791no—
510#102—791no—
511#102—791no—
512#102—791no—
513#97—791no—
514#97—791no—
515#97—791no—
516#97—791no—
517#97—1582no—
518C4×C8—1582no—
519#95—21no—
520#41—21no—
521#41—21no—
522#41—792no—
523#41—792no—
524#41—1581no—
525#41—1581no—
526#41D4×D7912yes—
527#41Q8×D7912yes—
528C2×Q8—791no—
529C2×Q8C2×C4×D7911yescharacteristic
530C2×D4—21no—
531C2×D4—791no—
532C2×D4—1581no—
533C2×D4C2×C4×D7911yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—1581no—
540C22×C4—1581no—
541C22×C4—1581no—
542C22×C4#1192962311yescharacteristic
543C22×C4#1192962311yescharacteristic
544C22×C4C23×D7911yescharacteristic
545Q16—794no—
546SD16—794no—
547SD16—794no—
548D8—794no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—3162no—
554M16—3162no—
555M16—3162no—
556M16—3162no—
557M16—1581no—
558M16—1581no—
559M16—1581no—
560M16—1581no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—3162no—
564C2×C8—3162no—
565C2×C8—3162no—
566C2×C8—3162no—
567C2×C8—792no—
568C2×C8—791no—
569C2×C8—791no—
570C2×C8—792no—
571C2×C8—791no—
572C2×C8—791no—
573C2×C8—791no—
574C2×C8—791no—
575C2×C8—791no—
576C2×C8—791no—
577C2×C8—1581no—
578C2×C8—1581no—
579C2×C8—1581no—
580C2×C8—1581no—
581C2×C8—1581no—
582C2×C8—1581no—
583C2×C8—1581no—
584C2×C8—1581no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—42no—
588C4⋊C4—791no—
589C4⋊C4—791no—
590C4⋊C4—1581no—
591C4⋊C4—1581no—
592C4⋊C4C2×C4×D7911yescharacteristic
593C4⋊C4C2×C4×D7911yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1581no—
598C22⋊C4—1581no—
599C22⋊C4—1581no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—1581no—
608C42—1581no—
609C42—1581no—
610C42C2×C4×D7911yescharacteristic
611C42C2×C4×D7911yescharacteristic
612C42D4×D7911yescharacteristic
613C42D4×D7911yescharacteristic
614C23—21no—
615C23—1581no—
616C23C2×#1192962311yescharacteristic
617Q8—21no—
618Q8—792no—
619Q8—1581no—
620Q8C4⋊C4×D7912yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—792no—
625D4—1582no—
626D4—1582no—
627D4—1581no—
628D4C4⋊C4×D7912yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—81no—
644C2×C4—3162no—
645C2×C4—6321no—
646C2×C4—1581no—
647C2×C4—1581no—
648C2×C4—1581no—
649C2×C4—1582no—
650C2×C4—1582no—
651C2×C4(C22⋊D79)⋊C411yescharacteristic
652C2×C4(C22⋊D79)⋊C411yescharacteristic
653C2×C4(C22⋊D79)⋊C411yescharacteristic
654C2×C4(C22⋊D79)⋊C411yescharacteristic
655C2×C4C22×C4×D7911yescharacteristic
656C2×C4C2×D4×D7911yescharacteristic
657C2×C4C2×D4×D7911yescharacteristic
658C2×C4C2×Q8×D7911yescharacteristic
659C2×C4#1457920711yescharacteristic
660C2×C4#1457920811yescharacteristic
661C8—41no—
662C8—41no—
663C8—3161no—
664C8—3161no—
665C8—792no—
666C8—792no—
667C8—1581no—
668C8—1581no—
669C8—1581no—
670C8—1581no—
671C8—1581no—
672C8—1581no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—3161no—
679C22—3161no—
680C22—1582no—
681C22C2×(C22⋊D79)⋊C411yescharacteristic
682C22#1909921311yescharacteristic
683C22#1909927111yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—3161no—
694C4—3161no—
695C4—1582no—
696C4C2×C4⋊C4×D7911yescharacteristic
697C4#1909904311yescharacteristic
698C4#1909919711yescharacteristic
699C4#1909922611yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—3162no—
704C2#2376629611yescharacteristic
705C2#2377229911yescharacteristic
706C2#2377230611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#1806C2
socleC22×C79C2×C4×D4
prime radicalC2×#14579181C22
cosocleC22×C4×C79C24
hypercenter#1806D79
hypocenterC79#22687
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
4. #23771969C2semidirect
5. #23771968C2semidirect
6. #23764152C2semidirect
7. #23764147C2semidirect
8. #23763676C2semidirect
9. #23763676C2semidirect
10. #23763673C2semidirect
11. #23763673C2semidirect
12. #23763574C2semidirect
13. #23763421C2semidirect
14. #23763275C2semidirect
15. C79×#1806C2semidirect
24. #19098673C4semidirect
25. #19098673C4semidirect
26. #19098668C4semidirect
27. #19098668C4semidirect
28. #19098663C4semidirect
29. #19098663C4semidirect
30. #19098661C4semidirect
31. #19098661C4semidirect
176. #11929614C4⋊C4semidirect
177. #11929612C4⋊C4semidirect
178. #11929611C4⋊C4semidirect
179. #11929609C4⋊C4semidirect
367. #1806D79semidirect
369. C79#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#190986822
C2×#190986772
#237721982
#237719692
#237719682
#237641522
#237641472
#237636762
#237636732
#237635742
#237634212
#237632752
C79×#18062
#2268779