Finite Group Databasebeta

← #33104434

Subgroups — #33104434

Order 18688.

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×#17988706C211yesmaximal, characteristic
2C2×#17988701C211yesmaximal, characteristic
3#22618729C211yesmaximal, characteristic
4#22618500C211yesmaximal, characteristic, complemented
5#22618499C211yesmaximal, characteristic, complemented
6#22610683C211yesmaximal, characteristic, complemented
7#22610678C211yesmaximal, characteristic, complemented
8#22610207C211yesmaximal, characteristic, complemented
9#22610207C211yesmaximal, characteristic, complemented
10#22610204C211yesmaximal, characteristic, complemented
11#22610204C211yesmaximal, characteristic, complemented
12#22610105C211yesmaximal, characteristic, complemented
13#22609952C211yesmaximal, characteristic, complemented
14#22609806C211yesmaximal, characteristic, complemented
15C73×#1806C211yesmaximal, characteristic, complemented
16C2×#14556611C2211yescharacteristic
17C2×#14556599C2211yescharacteristic
18C2×#14556599C2211yescharacteristic
19C2×#14556598C2211yescharacteristic
20C2×#14556598C2211yescharacteristic
21C4×#11924028C2211yescharacteristic
22#17988706—24no—
23#17988701—24no—
24#17988697C411yescharacteristic, complemented
25#17988697C411yescharacteristic, complemented
26#17988692C411yescharacteristic, complemented
27#17988692C411yescharacteristic, complemented
28#17988687C411yescharacteristic, complemented
29#17988687C411yescharacteristic, complemented
30#17988685C411yescharacteristic, complemented
31#17988685C411yescharacteristic, complemented
32C2×#14556526C2211yescharacteristic
33C2×#14556526C2211yescharacteristic
34C2×#14556526C2211yescharacteristic
35C2×#14556526C2211yescharacteristic
36#17988623C2211yescharacteristic
37#17988615C2211yescharacteristic
38#17988615C2211yescharacteristic
39#17988614—21no—
40#17988614—21no—
41#17988614C2211yescharacteristic
42#17988614C2211yescharacteristic
43#17988612—21no—
44#17988612—21no—
45#17988611—21no—
46#17988611C2211yescharacteristic
47#17988609—21no—
48C2×C4⋊#10596831—21no—
49C2×C4⋊#10596831C2211yescharacteristic
50C4⋊C8×D73—21no—
51C2×#14556519C2211yescharacteristic
52C2×#14556519C2211yescharacteristic
53#17988583C2211yescharacteristic
54#17988581C2211yescharacteristic
55C2×#14556502C2211yescharacteristic
56C2×#14556502C2211yescharacteristic
57C2×C4×#10596831C2211yescharacteristic
58#17988347C2211yescharacteristic
59#17988347C2211yescharacteristic
60#17988342C2211yescharacteristic
61#17988342C2211yescharacteristic
62C4×#41×C73C2211yescharacteristic
63#423×C73C2211yescharacteristic
64C2×#104×C73C2211yescharacteristic
65C2×#104×C73C2211yescharacteristic
66C4×C4⋊C4×C73C2211yescharacteristic
67#339×C73C2211yescharacteristic
68#339×C73C2211yescharacteristic
69C2×#11924028C2311yescharacteristic
70#14556611D414yes—
71#14556611Q814yes—
72C2×#11924018C2×C411yescharacteristic
73C2×#11924016C2×C411yescharacteristic
74C2×#11924015C2×C411yescharacteristic
75C2×#11924013C2×C411yescharacteristic
76#14556599—22no—
77#14556599—22no—
78#14556599—41no—
79#14556599—41no—
80#14556598—22no—
81#14556598—22no—
82#14556598—41no—
83#14556598—41no—
84C2×#11924012—21no—
85C2×#11924012—21no—
86C2×#11924012C2311yescharacteristic
87C2×#11924012C2311yescharacteristic
88C2×#11924011—21no—
89C2×#11924011—21no—
90C22×#10596831—21no—
91C22×#10596831—21no—
92C22×#10596831C2311yescharacteristic
93C22×#10596831C2311yescharacteristic
94C22×#10596831C2311yescharacteristic
95C22×#10596831C2311yescharacteristic
96C2×C8×D73—21no—
97C2×C8×D73—21no—
98C4×Dic146C2×C411yescharacteristic
99C4×Dic146C2×C411yescharacteristic
100C4×D292C2×C411yescharacteristic
101C4×D292C2×C411yescharacteristic
102C4×C22⋊D73—21no—
103C4×C22⋊D73—21no—
104#14556550C2311yescharacteristic
105#14556548—21no—
106C42×D73—21no—
107#14556526—22no—
108#14556526—22no—
109#14556526—41no—
110#14556526—41no—
111#14556524C2×C411yescharacteristic
112#14556524C2×C411yescharacteristic
113#14556522C2×C411yescharacteristic
114#14556522C2×C411yescharacteristic
115C4⋊#10596831—21no—
116C4⋊#10596831—21no—
117C4⋊#10596831—21no—
118C4⋊#10596831—21no—
119C4⋊#10596831—21no—
120C4⋊#10596831—21no—
121C4⋊#10596831D411yescharacteristic
122C4⋊#10596831D411yescharacteristic
123C4⋊#10596831D411yescharacteristic
124C4⋊#10596831D411yescharacteristic
125#14556520—21no—
126#14556520—21no—
127#14556520—21no—
128#14556520—21no—
129#14556519—22no—
130#14556519—22no—
131#14556515C2×C411yescharacteristic
132#14556515C2×C411yescharacteristic
133#14556514C2×C411yescharacteristic
134#14556514C2×C411yescharacteristic
135#14556512C2×C411yescharacteristic
136#14556512C2×C411yescharacteristic
137#14556511C2×C411yescharacteristic
138#14556511C2×C411yescharacteristic
139#14556502—22no—
140#14556502C2×C411yescharacteristic
141#14556502C2×C411yescharacteristic
142#14556502C2×C411yescharacteristic
143#14556502C2×C411yescharacteristic
144C4×#10596831—22no—
145C2×#41×C73C2311yescharacteristic
146C2×M16×C73C2311yescharacteristic
147C2×M16×C73C2311yescharacteristic
148C4×Q8×C73C2×C411yescharacteristic
149C4×Q8×C73C2×C411yescharacteristic
150C4×D4×C73—21no—
151C4×D4×C73—21no—
152C4×D4×C73C2×C411yescharacteristic
153C4×D4×C73C2×C411yescharacteristic
154#117×C73—21no—
155#117×C73C2311yescharacteristic
156C2×C4⋊C4×C73—21no—
157C2×C42×C73—21no—
158C2×C42×C73C2311yescharacteristic
159C2×C42×C73C2311yescharacteristic
160C2×C42×C73C2311yescharacteristic
161C4⋊C8×C73—21no—
162C4⋊C8×C73—21no—
163#104×C73—22no—
164#104×C73—22no—
165#95×C73—21no—
166#11924028—21no—
167#11924028—21no—
168#11924028C2×D412yes—
169#11924028C2×Q812yes—
170C2×Dic146C22×C411yescharacteristic
171C2×D292C22×C411yescharacteristic
172C2×C22⋊D73—21no—
173C2×C4×D73—21no—
174C2×C4×D73—21no—
175C2×C4×D73—21no—
176#11924018C4⋊C414yescomplemented
177#11924016C4⋊C414yescomplemented
178#11924015C4⋊C414yescomplemented
179#11924013C4⋊C414yescomplemented
180#11924012—21no—
181#11924012—21no—
182#11924012—21no—
183#11924012—21no—
184#11924012—42no—
185#11924012—42no—
186#11924011—42no—
187#11924011—42no—
188C2×#10596831—21no—
189C2×#10596831—21no—
190C2×#10596831—21no—
191C2×#10596831—21no—
192C2×#10596831—21no—
193C2×#10596831—21no—
194C2×#10596831—21no—
195C2×#10596831—21no—
196C2×#10596831—42no—
197C2×#10596831—42no—
198C2×#10596831C22×C411yescharacteristic
199C2×#10596831C22×C411yescharacteristic
200C2×#10596831C22×C411yescharacteristic
201C2×#10596831C22×C411yescharacteristic
202C2×#10596831C2×D411yescharacteristic
203C2×#10596831C2×D411yescharacteristic
204C2×#10596831C2×D411yescharacteristic
205C2×#10596831C2×D411yescharacteristic
206C2×#10596831C2×D412yes—
207C2×#10596831C2×Q812yes—
208C8×D73—42no—
209C8×D73—42no—
210C4⋊Dic73C22×C411yescharacteristic
211C4⋊Dic73C22×C411yescharacteristic
212#11924007—21no—
213#11924007—21no—
214C22⋊Dic73—21no—
215#11924005—21no—
216#11924005—21no—
217C4×Dic73—21no—
218C4×Dic73—21no—
219C4×Dic73—21no—
220#41×C73—21no—
221#41×C73—21no—
222#41×C73C2×D412yes—
223#41×C73C2×Q812yes—
224C2×Q8×C73C22×C411yescharacteristic
225C2×D4×C73—21no—
226C2×D4×C73C22×C411yescharacteristic
227C22×C4×C73—21no—
228C22×C4×C73—21no—
229C22×C4×C73—21no—
230C22×C4×C73—21no—
231C22×C4×C73—21no—
232C22×C4×C73#4111yescharacteristic
233C22×C4×C73#4111yescharacteristic
234C22×C4×C73C2411yescharacteristic
235M16×C73—21no—
236M16×C73—21no—
237M16×C73—21no—
238M16×C73—21no—
239C2×C8×C73—21no—
240C2×C8×C73—21no—
241C4⋊C4×C73—21no—
242C4⋊C4×C73—21no—
243C4⋊C4×C73—42no—
244C4⋊C4×C73C22×C411yescharacteristic
245C4⋊C4×C73C22×C411yescharacteristic
246C22⋊C4×C73—21no—
247C22⋊C4×C73—21no—
248C22⋊C4×C73—21no—
249C42×C73—21no—
250C42×C73—21no—
251C42×C73—21no—
252C42×C73—21no—
253C42×C73—21no—
254C42×C73—21no—
255C42×C73—21no—
256C42×C73C22×C411yescharacteristic
257C42×C73C22×C411yescharacteristic
258C42×C73C2×D411yescharacteristic
259C42×C73C2×D411yescharacteristic
260C23×C73—21no—
261C23×C73C2×#4111yescharacteristic
262C22×D73—21no—
263Q8×C73—21no—
264Q8×C73C2×C4⋊C412yes—
265D4×C73—22no—
266D4×C73—22no—
267D4×C73—21no—
268D4×C73C2×C4⋊C412yes—
269C2×C4×C73—21no—
270C2×C4×C73—22no—
271C2×C4×C73—22no—
272C2×C4×C73—22no—
273C2×C4×C73—21no—
274C2×C4×C73—21no—
275C2×C4×C73—41no—
276C2×C4×C73—41no—
277C2×C4×C73—42no—
278C2×C4×C73—41no—
279C2×C4×C73—41no—
280C2×C4×C73—41no—
281C2×C4×C73—41no—
282C2×C4×C73—41no—
283C2×C4×C73—81no—
284C2×C4×C73C4×D411yescharacteristic
285C2×C4×C73C4×D411yescharacteristic
286C2×C4×C73C4×D411yescharacteristic
287C2×C4×C73C4×D411yescharacteristic
288C2×C4×C73C23×C411yescharacteristic
289C2×C4×C73C22×D411yescharacteristic
290C2×C4×C73C22×D411yescharacteristic
291C2×C4×C73C22×Q811yescharacteristic
292C2×C4×C73H(5,𝔽2)11yescharacteristic
293C2×C4×C732−1+411yescharacteristic
294C22⋊D73—22no—
295C22⋊D73—22no—
296C2×Dic73—21no—
297C2×Dic73—21no—
298C2×Dic73—21no—
299D292—21no—
300D292C2×C4⋊C412yes—
301C4×D73—22no—
302C4×D73—22no—
303C4×D73—42no—
304C4×D73—81no—
305Dic146—21no—
306Dic146C2×C4⋊C412yes—
307C8×C73—41no—
308C8×C73—41no—
309#10596831—21no—
310#10596831—21no—
311#10596831—21no—
312#10596831—21no—
313#10596831—21no—
314#10596831—21no—
315#10596831—41no—
316#10596831—41no—
317#10596831C2×C4⋊C412yes—
318#10596831C2×C4⋊C412yes—
319C22×C73—21no—
320C22×C73—21no—
321C22×C73—22no—
322C22×C73—41no—
323C22×C73—41no—
324C22×C73C2×C4×D411yescharacteristic
325C22×C73#54711yescharacteristic
326C22×C73#55411yescharacteristic
327C2×D73—22no—
328C2×D73—41no—
329C2×D73—41no—
330C4×C73—22no—
331C4×C73—21no—
332C4×C73—21no—
333C4×C73—21no—
334C4×C73—21no—
335C4×C73—42no—
336C4×C73—41no—
337C4×C73—41no—
338C4×C73—81no—
339C4×C73C22×C4⋊C411yescharacteristic
340C4×C73#52011yescharacteristic
341C4×C73D4211yescharacteristic
342C4×C73D4×Q811yescharacteristic
343Dic73—22no—
344Dic73—41no—
345Dic73—41no—
346#22687—731nomaximal, Sylow
347C2×C73—21no—
348C2×C73—21no—
349C2×C73—42no—
350C2×C73D4×C4⋊C411yescharacteristic
351C2×C73#295511yescharacteristic
352C2×C73#295611yescharacteristic
353D73—42no—
354C2×#444—731no—
355C2×#443—731no—
356#2943—731no—
357#2906—731no—
358#2906—731no—
359#1946—731no—
360#1945—731no—
361#1866—731no—
362#1866—731no—
363#1866—731no—
364#1866—731no—
365#1849—731no—
366#1806—731no—
367#1806D7311yescharacteristic, complemented
368#1771—731no—
369C73#2268711yescharacteristic, complemented, Sylow
370C2×#135—731no—
371C2×#131—731no—
372C2×#131—731no—
373C2×#131—731no—
374C2×#131—731no—
375C4×#41—731no—
376C4×#41C2×D7311yescharacteristic
377#444—1464no—
378#443—1464no—
379#442—731no—
380#442—731no—
381#441—731no—
382#441—731no—
383#440—731no—
384#440—731no—
385#440—731no—
386#440—731no—
387C2×#108—731no—
388C2×#108—731no—
389C2×#108—731no—
390C2×#108—731no—
391#427—731no—
392#424—731no—
393#424—731no—
394#424—731no—
395#424—731no—
396#424—1461no—
397#424—1461no—
398#424—1461no—
399#424—1461no—
400#423—731no—
401#423—1461no—
402#423—1461no—
403#423C2×D7311yescharacteristic
404C2×C4⋊C8—731no—
405C2×C4⋊C8—1461no—
406C2×C4⋊C8—1461no—
407C2×#104—731no—
408C2×#104—731no—
409C2×#104C2×D7311yescharacteristic
410C2×#104C2×D7311yescharacteristic
411#416—731no—
412#416—731no—
413C2×#97—731no—
414C2×#97—731no—
415C2×C4×C8—731no—
416C4×C4⋊C4C2×D7311yescharacteristic
417#339—731no—
418#339—731no—
419#339C2×D7311yescharacteristic
420#339C2×D7311yescharacteristic
421#336—731no—
422#336—731no—
423C2×#41—731no—
424C2×#41C22×D7311yescharacteristic
425#135—734no—
426#135—734no—
427C2×Q16—731no—
428C2×SD16—731no—
429C2×SD16—731no—
430C2×D8—731no—
431#131—2921no—
432#131—2921no—
433#131—2921no—
434#131—2921no—
435#131—1462no—
436#131—1462no—
437#131—1462no—
438#131—1462no—
439C2×M16—731no—
440C2×M16—731no—
441C2×M16—1461no—
442C2×M16—1461no—
443C2×M16—1461no—
444C2×M16—1461no—
445C2×M16C22×D7311yescharacteristic
446C2×M16C22×D7311yescharacteristic
447C22×C8—731no—
448C22×C8—731no—
449C22×C8—731no—
450C22×C8—731no—
451C22×C8—1461no—
452C22×C8—1461no—
453C22×C8—1461no—
454C22×C8—1461no—
455C4×Q8—731no—
456C4×Q8—731no—
457C4×Q8C4×D7311yescharacteristic
458C4×Q8C4×D7311yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—731no—
462C4×D4—731no—
463C4×D4—1461no—
464C4×D4—1461no—
465C4×D4C4×D7311yescharacteristic
466C4×D4C4×D7311yescharacteristic
467#117—21no—
468#117—731no—
469#117—1461no—
470#117C22×D7311yescharacteristic
471C2×C4⋊C4—21no—
472C2×C42—21no—
473C2×C42—1461no—
474C2×C42C22×D7311yescharacteristic
475C2×C42C22×D7311yescharacteristic
476C2×C42C22×D7311yescharacteristic
477#108—2921no—
478#108—2921no—
479#108—1462no—
480#108—1462no—
481#107—731no—
482#107—731no—
483#106—731no—
484#106—731no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—731no—
488C4⋊C8—731no—
489C4⋊C8—731no—
490C4⋊C8—731no—
491C4⋊C8—1461no—
492C4⋊C8—1461no—
493C4⋊C8—1461no—
494C4⋊C8—1461no—
495C4⋊C8—1461no—
496C4⋊C8—1461no—
497C4⋊C8—1461no—
498C4⋊C8—1461no—
499C4⋊C8—1461no—
500C4⋊C8—1461no—
501#104—22no—
502#104—22no—
503#104—1462no—
504#104—1462no—
505#103—731no—
506#103—731no—
507#103—731no—
508#103—731no—
509#102—731no—
510#102—731no—
511#102—731no—
512#102—731no—
513#97—731no—
514#97—731no—
515#97—731no—
516#97—731no—
517#97—1462no—
518C4×C8—1462no—
519#95—21no—
520#41—21no—
521#41—21no—
522#41—732no—
523#41—732no—
524#41—1461no—
525#41—1461no—
526#41D4×D7312yes—
527#41Q8×D7312yes—
528C2×Q8—731no—
529C2×Q8C2×C4×D7311yescharacteristic
530C2×D4—21no—
531C2×D4—731no—
532C2×D4—1461no—
533C2×D4C2×C4×D7311yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—1461no—
540C22×C4—1461no—
541C22×C4—1461no—
542C22×C4#1192402711yescharacteristic
543C22×C4#1192402711yescharacteristic
544C22×C4C23×D7311yescharacteristic
545Q16—734no—
546SD16—734no—
547SD16—734no—
548D8—734no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—2922no—
554M16—2922no—
555M16—2922no—
556M16—2922no—
557M16—1461no—
558M16—1461no—
559M16—1461no—
560M16—1461no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—2922no—
564C2×C8—2922no—
565C2×C8—2922no—
566C2×C8—2922no—
567C2×C8—731no—
568C2×C8—731no—
569C2×C8—732no—
570C2×C8—732no—
571C2×C8—731no—
572C2×C8—731no—
573C2×C8—731no—
574C2×C8—731no—
575C2×C8—731no—
576C2×C8—731no—
577C2×C8—1461no—
578C2×C8—1461no—
579C2×C8—1461no—
580C2×C8—1461no—
581C2×C8—1461no—
582C2×C8—1461no—
583C2×C8—1461no—
584C2×C8—1461no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—42no—
588C4⋊C4—731no—
589C4⋊C4—731no—
590C4⋊C4—1461no—
591C4⋊C4—1461no—
592C4⋊C4C2×C4×D7311yescharacteristic
593C4⋊C4C2×C4×D7311yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1461no—
598C22⋊C4—1461no—
599C22⋊C4—1461no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—1461no—
608C42—1461no—
609C42—1461no—
610C42C2×C4×D7311yescharacteristic
611C42C2×C4×D7311yescharacteristic
612C42D4×D7311yescharacteristic
613C42D4×D7311yescharacteristic
614C23—21no—
615C23—1461no—
616C23C2×#1192402711yescharacteristic
617Q8—21no—
618Q8—732no—
619Q8—1461no—
620Q8C4⋊C4×D7312yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—732no—
625D4—1462no—
626D4—1462no—
627D4—1461no—
628D4C4⋊C4×D7312yes—
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—2922no—
645C2×C4—5841no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4#1455655111yescharacteristic
652C2×C4#1455655111yescharacteristic
653C2×C4#1455655111yescharacteristic
654C2×C4#1455655111yescharacteristic
655C2×C4C22×C4×D7311yescharacteristic
656C2×C4C2×D4×D7311yescharacteristic
657C2×C4C2×D4×D7311yescharacteristic
658C2×C4C2×Q8×D7311yescharacteristic
659C2×C4#1455663711yescharacteristic
660C2×C4#1455663811yescharacteristic
661C8—41no—
662C8—41no—
663C8—2921no—
664C8—2921no—
665C8—732no—
666C8—732no—
667C8—1461no—
668C8—1461no—
669C8—1461no—
670C8—1461no—
671C8—1461no—
672C8—1461no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—2921no—
679C22—2921no—
680C22—1462no—
681C22C2×#1455655111yescharacteristic
682C22#1798923711yescharacteristic
683C22#1798929511yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—2921no—
694C4—2921no—
695C4—1462no—
696C4C2×C4⋊C4×D7311yescharacteristic
697C4#1798906711yescharacteristic
698C4#1798922111yescharacteristic
699C4#1798925011yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2922no—
704C2#2261282711yescharacteristic
705C2#2261883011yescharacteristic
706C2#2261883711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1806C2
socleC22×C73C2×C4×D4
prime radicalC2×#14556611C22
cosocleC22×C4×C73C24
hypercenter#1806D73
hypocenterC73#22687
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
4. #22618500C2semidirect
5. #22618499C2semidirect
6. #22610683C2semidirect
7. #22610678C2semidirect
8. #22610207C2semidirect
9. #22610207C2semidirect
10. #22610204C2semidirect
11. #22610204C2semidirect
12. #22610105C2semidirect
13. #22609952C2semidirect
14. #22609806C2semidirect
15. C73×#1806C2semidirect
24. #17988697C4semidirect
25. #17988697C4semidirect
26. #17988692C4semidirect
27. #17988692C4semidirect
28. #17988687C4semidirect
29. #17988687C4semidirect
30. #17988685C4semidirect
31. #17988685C4semidirect
176. #11924018C4⋊C4semidirect
177. #11924016C4⋊C4semidirect
178. #11924015C4⋊C4semidirect
179. #11924013C4⋊C4semidirect
367. #1806D73semidirect
369. C73#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#179887062
C2×#179887012
#226187292
#226185002
#226184992
#226106832
#226106782
#226102072
#226102042
#226101052
#226099522
#226098062
C73×#18062
#2268773