Finite Group Databasebeta

← #33104437

Subgroups — #33104437

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×#17988707C211yesmaximal, characteristic
2C2×#17988702C211yesmaximal, characteristic
3#22618729C211yesmaximal, characteristic
4#22618496C211yesmaximal, characteristic, complemented
5#22610681C211yesmaximal, characteristic, complemented
6#22610676C211yesmaximal, characteristic, complemented
7#22610206C211yesmaximal, characteristic, complemented
8#22610206C211yesmaximal, characteristic, complemented
9#22610205C211yesmaximal, characteristic, complemented
10#22610205C211yesmaximal, characteristic, complemented
11#22610105C211yesmaximal, characteristic, complemented
12#22609951C211yesmaximal, characteristic, complemented
13#22609948C211yesmaximal, characteristic, complemented
14#22609808C211yesmaximal, characteristic, complemented
15C73×#2906C211yesmaximal, characteristic, complemented
16C2×#14556611C2211yescharacteristic
17C2×#14556597C2211yescharacteristic
18C2×#14556597C2211yescharacteristic
19C4×#11924028C2211yescharacteristic
20#17988707—24no—
21#17988702—24no—
22#17988697C411yescharacteristic, complemented
23#17988697C411yescharacteristic, complemented
24#17988692C411yescharacteristic, complemented
25#17988692C411yescharacteristic, complemented
26#17988687C411yescharacteristic, complemented
27#17988687C411yescharacteristic, complemented
28#17988685C411yescharacteristic, complemented
29#17988685C411yescharacteristic, complemented
30C2×#14556526C2211yescharacteristic
31C2×#14556526C2211yescharacteristic
32C2×#14556526C2211yescharacteristic
33C2×#14556526C2211yescharacteristic
34#17988623C2211yescharacteristic
35#17988613C2211yescharacteristic
36#17988613C2211yescharacteristic
37#17988612—21no—
38#17988612—21no—
39#17988611C2211yescharacteristic
40#17988609—21no—
41C4⋊C8×D73—21no—
42C2×#14556518C2211yescharacteristic
43C2×#14556518C2211yescharacteristic
44C2×#14556517C2211yescharacteristic
45C2×#14556517C2211yescharacteristic
46#17988583C2211yescharacteristic
47#17988581C2211yescharacteristic
48C2×#14556502C2211yescharacteristic
49C2×#14556501C2211yescharacteristic
50C2×C8×Dic73C2211yescharacteristic
51C4×C4⋊Dic73C2211yescharacteristic
52#17988348C2211yescharacteristic
53#17988348C2211yescharacteristic
54#17988346C2211yescharacteristic
55#17988346C2211yescharacteristic
56#17988341C2211yescharacteristic
57#17988341C2211yescharacteristic
58C2×#131×C73C2211yescharacteristic
59C2×#131×C73C2211yescharacteristic
60C4×#41×C73C2211yescharacteristic
61#424×C73—21no—
62#424×C73—21no—
63#424×C73C2211yescharacteristic
64#424×C73C2211yescharacteristic
65#423×C73—21no—
66#423×C73C2211yescharacteristic
67C2×C4⋊C8×C73—21no—
68C2×C4⋊C8×C73C2211yescharacteristic
69C2×#11924028C2311yescharacteristic
70#14556611D414yes—
71#14556611Q814yes—
72C2×#11924018C2×C411yescharacteristic
73C2×#11924016C2×C411yescharacteristic
74C2×#11924015C2×C411yescharacteristic
75C2×#11924013C2×C411yescharacteristic
76#14556597—22no—
77#14556597—22no—
78#14556597—41no—
79#14556597—41no—
80C2×#11924012C2311yescharacteristic
81C2×#11924012C2311yescharacteristic
82C2×#11924011—21no—
83C2×#11924011—21no—
84C22×#10596831C2311yescharacteristic
85C22×#10596831C2311yescharacteristic
86C2×C8×D73—21no—
87C2×C8×D73—21no—
88C4×Dic146C2×C411yescharacteristic
89C4×Dic146C2×C411yescharacteristic
90C4×D292C2×C411yescharacteristic
91C4×D292C2×C411yescharacteristic
92C4×C22⋊D73—21no—
93C4×C22⋊D73—21no—
94#14556550C2311yescharacteristic
95#14556548—21no—
96C2×C4⋊Dic73—21no—
97C2×C4×Dic73C2311yescharacteristic
98C2×C4×Dic73C2311yescharacteristic
99C42×D73—21no—
100#14556526—22no—
101#14556526—22no—
102#14556526—41no—
103#14556526—41no—
104#14556524C2×C411yescharacteristic
105#14556524C2×C411yescharacteristic
106#14556522C2×C411yescharacteristic
107#14556522C2×C411yescharacteristic
108C4⋊#10596831—21no—
109C4⋊#10596831—21no—
110#14556520—21no—
111#14556520—21no—
112#14556520—21no—
113#14556520—21no—
114#14556518—22no—
115#14556518—22no—
116#14556517—22no—
117#14556517—22no—
118#14556515C2×C411yescharacteristic
119#14556515C2×C411yescharacteristic
120#14556514C2×C411yescharacteristic
121#14556514C2×C411yescharacteristic
122#14556512C2×C411yescharacteristic
123#14556512C2×C411yescharacteristic
124#14556511C2×C411yescharacteristic
125#14556511C2×C411yescharacteristic
126#14556502C2×C411yescharacteristic
127#14556502C2×C411yescharacteristic
128#14556502C2×C411yescharacteristic
129#14556502C2×C411yescharacteristic
130#14556501—22no—
131C8×Dic73—22no—
132#14556498—21no—
133C2×#41×C73C2311yescharacteristic
134#131×C73—22no—
135#131×C73—22no—
136#131×C73—41no—
137#131×C73—41no—
138C2×M16×C73—21no—
139C2×M16×C73—21no—
140C2×M16×C73C2311yescharacteristic
141C2×M16×C73C2311yescharacteristic
142C22×C8×C73—21no—
143C22×C8×C73—21no—
144C22×C8×C73C2311yescharacteristic
145C22×C8×C73C2311yescharacteristic
146C4×Q8×C73C2×C411yescharacteristic
147C4×Q8×C73C2×C411yescharacteristic
148C4×D4×C73—21no—
149C4×D4×C73—21no—
150C4×D4×C73C2×C411yescharacteristic
151C4×D4×C73C2×C411yescharacteristic
152#117×C73—21no—
153#117×C73C2311yescharacteristic
154C2×C42×C73—21no—
155C2×C42×C73C2311yescharacteristic
156C4⋊C8×C73—21no—
157C4⋊C8×C73—21no—
158C4⋊C8×C73—21no—
159C4⋊C8×C73—21no—
160C4⋊C8×C73—21no—
161C4⋊C8×C73—21no—
162C4⋊C8×C73D411yescharacteristic
163C4⋊C8×C73D411yescharacteristic
164C4⋊C8×C73D411yescharacteristic
165C4⋊C8×C73D411yescharacteristic
166#11924028—21no—
167#11924028—21no—
168#11924028C2×D412yes—
169#11924028C2×Q812yes—
170C2×Dic146C22×C411yescharacteristic
171C2×D292C22×C411yescharacteristic
172C2×C22⋊D73—21no—
173C22×Dic73—21no—
174C22×Dic73—21no—
175C2×C4×D73—21no—
176C2×C4×D73—21no—
177C2×C4×D73—21no—
178#11924018C4⋊C414yescomplemented
179#11924016C4⋊C414yescomplemented
180#11924015C4⋊C414yescomplemented
181#11924013C4⋊C414yescomplemented
182#11924012—21no—
183#11924012—21no—
184#11924012—21no—
185#11924012—21no—
186#11924011—42no—
187#11924011—42no—
188C2×#10596831—21no—
189C2×#10596831—21no—
190C2×#10596831—21no—
191C2×#10596831—21no—
192C2×#10596831C22×C411yescharacteristic
193C2×#10596831C22×C411yescharacteristic
194C2×#10596831C22×C411yescharacteristic
195C2×#10596831C22×C411yescharacteristic
196C2×#10596831C2×D412yes—
197C2×#10596831C2×Q812yes—
198C8×D73—42no—
199C8×D73—42no—
200C4⋊Dic73—42no—
201C4⋊Dic73C22×C411yescharacteristic
202C4⋊Dic73C22×C411yescharacteristic
203#11924007—21no—
204#11924007—21no—
205C22⋊Dic73—21no—
206#11924005—21no—
207#11924005—21no—
208C4×Dic73—21no—
209C4×Dic73—21no—
210C4×Dic73—21no—
211C4×Dic73—21no—
212C4×Dic73—21no—
213C4×Dic73—21no—
214C4×Dic73—21no—
215#41×C73—21no—
216#41×C73—21no—
217#41×C73C2×D412yes—
218#41×C73C2×Q812yes—
219C2×Q8×C73C22×C411yescharacteristic
220C2×D4×C73—21no—
221C2×D4×C73C22×C411yescharacteristic
222C22×C4×C73—21no—
223C22×C4×C73—21no—
224C22×C4×C73—21no—
225C22×C4×C73#4111yescharacteristic
226C22×C4×C73#4111yescharacteristic
227C22×C4×C73C2411yescharacteristic
228M16×C73—21no—
229M16×C73—21no—
230M16×C73—21no—
231M16×C73—21no—
232M16×C73—42no—
233M16×C73—42no—
234C2×C8×C73—21no—
235C2×C8×C73—21no—
236C2×C8×C73—21no—
237C2×C8×C73—21no—
238C2×C8×C73—21no—
239C2×C8×C73—21no—
240C2×C8×C73—42no—
241C2×C8×C73—42no—
242C2×C8×C73C2×D411yescharacteristic
243C2×C8×C73C2×D411yescharacteristic
244C2×C8×C73C2×D411yescharacteristic
245C2×C8×C73C2×D411yescharacteristic
246C4⋊C4×C73—21no—
247C4⋊C4×C73—21no—
248C4⋊C4×C73C22×C411yescharacteristic
249C4⋊C4×C73C22×C411yescharacteristic
250C22⋊C4×C73—21no—
251C22⋊C4×C73—21no—
252C22⋊C4×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—21no—
273C2×C4×C73—21no—
274C2×C4×C73—41no—
275C2×C4×C73—41no—
276C2×C4×C73—42no—
277C2×C4×C73—81no—
278C2×C4×C73C4×D411yescharacteristic
279C2×C4×C73C4×D411yescharacteristic
280C2×C4×C73C4×D411yescharacteristic
281C2×C4×C73C4×D411yescharacteristic
282C2×C4×C73C23×C411yescharacteristic
283C2×C4×C73C22×D411yescharacteristic
284C2×C4×C73C22×D411yescharacteristic
285C2×C4×C73C22×Q811yescharacteristic
286C2×C4×C73H(5,𝔽2)11yescharacteristic
287C2×C4×C732−1+411yescharacteristic
288C22⋊D73—22no—
289C22⋊D73—22no—
290C2×Dic73—21no—
291C2×Dic73—22no—
292C2×Dic73—21no—
293C2×Dic73—21no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—41no—
298C2×Dic73—41no—
299D292—21no—
300D292C2×C4⋊C412yes—
301C4×D73—22no—
302C4×D73—22no—
303C4×D73—42no—
304C4×D73—81no—
305Dic146—21no—
306Dic146C2×C4⋊C412yes—
307C8×C73—21no—
308C8×C73—21no—
309C8×C73—21no—
310C8×C73—21no—
311C8×C73—41no—
312C8×C73—41no—
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—41no—
336C4×C73—41no—
337C4×C73C22×C4⋊C411yescharacteristic
338C4×C73#52011yescharacteristic
339C4×C73D4211yescharacteristic
340C4×C73D4×Q811yescharacteristic
341Dic73—22no—
342Dic73—42no—
343Dic73—41no—
344Dic73—41no—
345Dic73—81no—
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#2906D7311yescharacteristic, complemented
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#1806—731no—
368#1771—731no—
369C73#2268711yescharacteristic, complemented, Sylow
370C2×#135—731no—
371C2×#131—731no—
372C2×#131—731no—
373C2×#131C2×D7311yescharacteristic
374C2×#131C2×D7311yescharacteristic
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—21no—
393#424—21no—
394#424—731no—
395#424—731no—
396#424—1461no—
397#424—1461no—
398#424C2×D7311yescharacteristic
399#424C2×D7311yescharacteristic
400#423—21no—
401#423—731no—
402#423—1461no—
403#423C2×D7311yescharacteristic
404C2×C4⋊C8—21no—
405C2×C4⋊C8—1461no—
406C2×C4⋊C8C2×D7311yescharacteristic
407C2×#104—731no—
408C2×#104—731no—
409C2×#104—731no—
410C2×#104—731no—
411#416—731no—
412#416—731no—
413C2×#97—731no—
414C2×#97—731no—
415C2×C4×C8—731no—
416C4×C4⋊C4—731no—
417#339—731no—
418#339—731no—
419#339—731no—
420#339—731no—
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—22no—
432#131—22no—
433#131—41no—
434#131—41no—
435#131—2921no—
436#131—2921no—
437#131—1462no—
438#131—1462no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—731no—
442C2×M16—731no—
443C2×M16—1461no—
444C2×M16—1461no—
445C2×M16C22×D7311yescharacteristic
446C2×M16C22×D7311yescharacteristic
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—731no—
450C22×C8—731no—
451C22×C8—1461no—
452C22×C8—1461no—
453C22×C8C22×D7311yescharacteristic
454C22×C8C22×D7311yescharacteristic
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—1461no—
472C2×C42—21no—
473C2×C42—731no—
474C2×C42—731no—
475C2×C42—1461no—
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—21no—
488C4⋊C8—21no—
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—1461no—
492C4⋊C8—1461no—
493C4⋊C8—1461no—
494C4⋊C8—1461no—
495C4⋊C8—1461no—
496C4⋊C8—1461no—
497C4⋊C8C22⋊D7311yescharacteristic
498C4⋊C8C22⋊D7311yescharacteristic
499C4⋊C8C22⋊D7311yescharacteristic
500C4⋊C8C22⋊D7311yescharacteristic
501#104—1462no—
502#104—1462no—
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—1461no—
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—1461no—
538C22×C4—1461no—
539C22×C4—1461no—
540C22×C4—1461no—
541C22×C4—1461no—
542C22×C4#1192402811yescharacteristic
543C22×C4#1192402811yescharacteristic
544C22×C4C23×D7311yescharacteristic
545Q16—734no—
546SD16—734no—
547SD16—734no—
548D8—734no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—42no—
555M16—2922no—
556M16—2922no—
557M16—1461no—
558M16—1461no—
559M16—1461no—
560M16—1461no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—2922no—
570C2×C8—2922no—
571C2×C8—731no—
572C2×C8—731no—
573C2×C8—732no—
574C2×C8—732no—
575C2×C8—731no—
576C2×C8—731no—
577C2×C8—1461no—
578C2×C8—1461no—
579C2×C8—1461no—
580C2×C8—1461no—
581C2×C8C2×C22⋊D7311yescharacteristic
582C2×C8C2×C22⋊D7311yescharacteristic
583C2×C8C2×C22⋊D7311yescharacteristic
584C2×C8C2×C22⋊D7311yescharacteristic
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—2922no—
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—1461no—
604C42—1461no—
605C42—1461no—
606C42—1461no—
607C42—1461no—
608C42—1461no—
609C42—1461no—
610C42C2×C4×D7311yescharacteristic
611C42C2×C4×D7311yescharacteristic
612C42C2×C22⋊D7311yescharacteristic
613C42C2×C22⋊D7311yescharacteristic
614C23—21no—
615C23—1461no—
616C23C2×#1192402811yescharacteristic
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—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—2922no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—2921no—
642C2×C4—2921no—
643C2×C4—2921no—
644C2×C4—5841no—
645C2×C4—1462no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4C4×C22⋊D7311yescharacteristic
652C2×C4C4×C22⋊D7311yescharacteristic
653C2×C4C4×C22⋊D7311yescharacteristic
654C2×C4C4×C22⋊D7311yescharacteristic
655C2×C4C22×C4×D7311yescharacteristic
656C2×C4C2×D4×D7311yescharacteristic
657C2×C4C22×C22⋊D7311yescharacteristic
658C2×C4C2×Q8×D7311yescharacteristic
659C2×C4#1455663611yescharacteristic
660C2×C4#1455663911yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—2921no—
668C8—2921no—
669C8—732no—
670C8—732no—
671C8—1461no—
672C8—1461no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—2921no—
679C22—2921no—
680C22—1462no—
681C22C2×C4×C22⋊D7311yescharacteristic
682C22#1798923811yescharacteristic
683C22#1798929211yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—41no—
690C4—41no—
691C4—2922no—
692C4—2921no—
693C4—2921no—
694C4—5841no—
695C4—1462no—
696C4C2×C4⋊C4×D7311yescharacteristic
697C4#1798906811yescharacteristic
698C4D4×C22⋊D7311yescharacteristic
699C4Q8×C22⋊D7311yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2922no—
704C2C4⋊C4×C22⋊D7311yescharacteristic
705C2#2261883211yescharacteristic
706C2#2261883811yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2906C2
socleC22×C73C2×C4×D4
prime radicalC2×#14556611C22
cosocleC22×C4×C73C24
hypercenter#2906D73
hypocenterC73#22687
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #22618496C2semidirect
5. #22610681C2semidirect
6. #22610676C2semidirect
7. #22610206C2semidirect
8. #22610206C2semidirect
9. #22610205C2semidirect
10. #22610205C2semidirect
11. #22610105C2semidirect
12. #22609951C2semidirect
13. #22609948C2semidirect
14. #22609808C2semidirect
15. C73×#2906C2semidirect
22. #17988697C4semidirect
23. #17988697C4semidirect
24. #17988692C4semidirect
25. #17988692C4semidirect
26. #17988687C4semidirect
27. #17988687C4semidirect
28. #17988685C4semidirect
29. #17988685C4semidirect
178. #11924018C4⋊C4semidirect
179. #11924016C4⋊C4semidirect
180. #11924015C4⋊C4semidirect
181. #11924013C4⋊C4semidirect
358. #2906D73semidirect
369. C73#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#179887072
C2×#179887022
#226187292
#226184962
#226106812
#226106762
#226102062
#226102052
#226101052
#226099512
#226099482
#226098082
C73×#29062
#2268773