Finite Group Databasebeta

← #33108520

Subgroups — #33108520

Order 18688.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22619380C211yesmaximal, characteristic
2C2×#17988706C211yesmaximal, characteristic, complemented
3C2×#17988701C211yesmaximal, characteristic, complemented
4#22618675C211yesmaximal, characteristic, complemented
5#22618500C211yesmaximal, characteristic, complemented
6#22610704C211yesmaximal, characteristic, complemented
7#22610639C211yesmaximal, characteristic, complemented
8#22610632C211yesmaximal, characteristic, complemented
9#22610255C211yesmaximal, characteristic, complemented
10#22610255C211yesmaximal, characteristic, complemented
11#22610204C211yesmaximal, characteristic, complemented
12#22610204C211yesmaximal, characteristic, complemented
13#22609788C211yesmaximal, characteristic, complemented
14#22609742C211yesmaximal, characteristic, complemented
15C73×#1963C211yesmaximal, characteristic, complemented
16C2×#14556611C2211yescharacteristic
17C2×#14556611C2211yescharacteristic
18C2×#14556599C2211yescharacteristic
19C2×#14556599C2211yescharacteristic
20C2×#14556598C2211yescharacteristic
21C2×#14556598C2211yescharacteristic
22C4×#11924028C2211yescharacteristic
23#17988806C411yescharacteristic, complemented
24#17988806C411yescharacteristic, complemented
25#17988799C411yescharacteristic, complemented
26#17988799C411yescharacteristic, complemented
27#17988794C411yescharacteristic, complemented
28#17988789C411yescharacteristic, complemented
29#17988784C411yescharacteristic, complemented
30#17988779C411yescharacteristic, complemented
31#17988706—24no—
32#17988701—24no—
33#17988665—21no—
34#17988659—21no—
35#17988659—21no—
36D4×#10596831—21no—
37C2×#14556526C2211yescharacteristic
38C2×#14556526C2211yescharacteristic
39#17988615C2211yescharacteristic
40#17988615C2211yescharacteristic
41#17988612—21no—
42#17988612—21no—
43#17988609—21no—
44C2×C4⋊#10596831C2211yescharacteristic
45C2×C4⋊#10596831C2211yescharacteristic
46C4⋊C8×D73—21no—
47C2×#14556519C2211yescharacteristic
48C2×#14556519C2211yescharacteristic
49#17988583C2211yescharacteristic
50#17988583C2211yescharacteristic
51#17988554C2211yescharacteristic
52#17988554C2211yescharacteristic
53C4×#11924012C2211yescharacteristic
54C2×#14556502C2211yescharacteristic
55C2×C4×#10596831C2211yescharacteristic
56#17988351C2211yescharacteristic
57#17988351C2211yescharacteristic
58#17988347C2211yescharacteristic
59#17988347C2211yescharacteristic
60#17988342C2211yescharacteristic
61#17988342C2211yescharacteristic
62#532×C73C2211yescharacteristic
63#423×C73C2211yescharacteristic
64C2×#104×C73C2211yescharacteristic
65C2×#104×C73C2211yescharacteristic
66C2×#104×C73C2211yescharacteristic
67C2×#104×C73C2211yescharacteristic
68#376×C73C2211yescharacteristic
69C2×#11924028C2311yescharacteristic
70#14556611—22no—
71#14556611—22no—
72#14556611—22no—
73#14556611—22no—
74C2×#11924018C2×C411yescharacteristic
75C2×#11924018C2×C411yescharacteristic
76C2×#11924016C2×C411yescharacteristic
77C2×#11924016C2×C411yescharacteristic
78C2×#11924015C2×C411yescharacteristic
79C2×#11924015C2×C411yescharacteristic
80C2×#11924013C2×C411yescharacteristic
81C2×#11924013C2×C411yescharacteristic
82#14556599—22no—
83#14556599—22no—
84#14556599—41no—
85#14556599—41no—
86#14556598—22no—
87#14556598—22no—
88#14556598—41no—
89#14556598—41no—
90C2×#11924012—21no—
91C2×#11924012—21no—
92C2×#11924012C2311yescharacteristic
93C2×#11924012C2311yescharacteristic
94C2×#11924011—21no—
95C2×#11924011—21no—
96C22×#10596831—21no—
97C22×#10596831—21no—
98C22×#10596831C2311yescharacteristic
99C22×#10596831C2311yescharacteristic
100C22×#10596831C2311yescharacteristic
101C22×#10596831C2311yescharacteristic
102C2×C8×D73—21no—
103C2×C8×D73—21no—
104C4×Dic146C2×C411yescharacteristic
105C4×Dic146C2×C411yescharacteristic
106C4×D292C2×C411yescharacteristic
107C4×D292C2×C411yescharacteristic
108C4×C22⋊D73—21no—
109C4×C22⋊D73—21no—
110#14556550C2311yescharacteristic
111#14556548—21no—
112C42×D73—21no—
113#14556526—22no—
114#14556526—22no—
115C4⋊#10596831C2×C411yescharacteristic
116C4⋊#10596831C2×C411yescharacteristic
117C4⋊#10596831C2×C411yescharacteristic
118C4⋊#10596831C2×C411yescharacteristic
119C4⋊#10596831D411yescharacteristic
120C4⋊#10596831D411yescharacteristic
121C4⋊#10596831D411yescharacteristic
122C4⋊#10596831D411yescharacteristic
123#14556520—21no—
124#14556520—21no—
125#14556520—21no—
126#14556520—21no—
127#14556519—22no—
128#14556519D414yescomplemented
129#14556515C2×C411yescharacteristic
130#14556515C2×C411yescharacteristic
131#14556515C2×C411yescharacteristic
132#14556515C2×C411yescharacteristic
133#14556512C2×C411yescharacteristic
134#14556512C2×C411yescharacteristic
135#14556512C2×C411yescharacteristic
136#14556512C2×C411yescharacteristic
137C22⋊#10596831—21no—
138C22⋊#10596831—21no—
139C22⋊#10596831—21no—
140C22⋊#10596831—21no—
141#14556502—21no—
142#14556502—22no—
143C4×#10596831—21no—
144C4×#10596831—22no—
145C2×#41×C73C2311yescharacteristic
146C2×#41×C73C2311yescharacteristic
147C2×M16×C73C2311yescharacteristic
148C2×M16×C73C2311yescharacteristic
149C4⋊Q8×C73C2×C411yescharacteristic
150#127×C73C2×C411yescharacteristic
151#124×C73C2×C411yescharacteristic
152#124×C73C2×C411yescharacteristic
153#121×C73—21no—
154#121×C73—21no—
155C4×D4×C73—21no—
156C4×D4×C73—21no—
157C2×C42×C73C2311yescharacteristic
158C2×C42×C73C2311yescharacteristic
159C2×C42×C73C2311yescharacteristic
160C4⋊C8×C73—21no—
161C4⋊C8×C73—21no—
162#104×C73—22no—
163#104×C73—22no—
164#104×C73—41no—
165#104×C73—41no—
166#95×C73—21no—
167#95×C73—21no—
168#11924028—21no—
169#11924028—21no—
170#11924028C2×D412yes—
171#11924028#4112yes—
172C2×Dic146C22×C411yescharacteristic
173C2×D292C22×C411yescharacteristic
174C2×C22⋊D73—21no—
175C2×C4×D73—21no—
176C2×C4×D73—21no—
177C2×C4×D73—21no—
178#11924018—22no—
179#11924018—22no—
180#11924016—22no—
181#11924016—22no—
182#11924015—22no—
183#11924015—22no—
184#11924013—22no—
185#11924013—22no—
186#11924012—21no—
187#11924012—21no—
188#11924012—21no—
189#11924012—42no—
190#11924012—42no—
191#11924012C2×D412yes—
192#11924011—42no—
193#11924011—42no—
194C2×#10596831—21no—
195C2×#10596831—21no—
196C2×#10596831—21no—
197C2×#10596831—21no—
198C2×#10596831—21no—
199C2×#10596831—21no—
200C2×#10596831—21no—
201C2×#10596831—21no—
202C2×#10596831—21no—
203C2×#10596831—21no—
204C2×#10596831—42no—
205C2×#10596831—42no—
206C2×#10596831C22×C411yescharacteristic
207C2×#10596831C22×C411yescharacteristic
208C2×#10596831C22×C411yescharacteristic
209C2×#10596831C22×C411yescharacteristic
210C2×#10596831C2×D411yescharacteristic
211C2×#10596831C2×D411yescharacteristic
212C2×#10596831C2×D411yescharacteristic
213C2×#10596831C2×D411yescharacteristic
214C8×D73—42no—
215C8×D73—42no—
216C4⋊Dic73C22×C411yescharacteristic
217C4⋊Dic73C22×C411yescharacteristic
218#11924007—21no—
219#11924007—21no—
220C22⋊Dic73—21no—
221#11924005—21no—
222#11924005—21no—
223C4×Dic73—21no—
224C4×Dic73—21no—
225C4×Dic73—21no—
226#41×C73—21no—
227#41×C73—21no—
228#41×C73—21no—
229#41×C73—21no—
230#41×C73—21no—
231#41×C73—21no—
232#41×C73—21no—
233#41×C73—21no—
234C2×Q8×C73C22×C411yescharacteristic
235C2×Q8×C73C22×C411yescharacteristic
236C2×D4×C73—21no—
237C2×D4×C73—21no—
238C2×D4×C73—21no—
239C2×D4×C73—21no—
240C2×D4×C73C22×C411yescharacteristic
241C2×D4×C73C22×C411yescharacteristic
242C22×C4×C73—21no—
243C22×C4×C73—21no—
244C22×C4×C73—21no—
245C22×C4×C73—21no—
246C22×C4×C73#4111yescharacteristic
247C22×C4×C73#4111yescharacteristic
248C22×C4×C73C2411yescharacteristic
249M16×C73—21no—
250M16×C73—21no—
251M16×C73—21no—
252M16×C73—21no—
253C2×C8×C73—21no—
254C2×C8×C73—21no—
255C4⋊C4×C73—21no—
256C4⋊C4×C73—21no—
257C22⋊C4×C73—21no—
258C22⋊C4×C73—21no—
259C22⋊C4×C73—21no—
260C22⋊C4×C73—21no—
261C42×C73—21no—
262C42×C73—21no—
263C42×C73—21no—
264C42×C73C22×C411yescharacteristic
265C42×C73C22×C411yescharacteristic
266C42×C73C2×D412yes—
267C42×C73C2×D411yescharacteristic
268C42×C73C2×D411yescharacteristic
269C23×C73—21no—
270C23×C73—21no—
271C23×C73C2×#4111yescharacteristic
272C22×D73—21no—
273Q8×C73—21no—
274Q8×C73—21no—
275Q8×C73—21no—
276Q8×C73—21no—
277D4×C73—21no—
278D4×C73—21no—
279D4×C73—21no—
280D4×C73—21no—
281D4×C73—42no—
282D4×C73—41no—
283D4×C73—41no—
284D4×C73—41no—
285D4×C73—41no—
286D4×C73—81no—
287C2×C4×C73—21no—
288C2×C4×C73—21no—
289C2×C4×C73—22no—
290C2×C4×C73—41no—
291C2×C4×C73—41no—
292C2×C4×C73—41no—
293C2×C4×C73—41no—
294C2×C4×C73—41no—
295C2×C4×C73—41no—
296C2×C4×C73—41no—
297C2×C4×C73—41no—
298C2×C4×C73—41no—
299C2×C4×C73—41no—
300C2×C4×C73—41no—
301C2×C4×C73C4×D411yescharacteristic
302C2×C4×C73C4×D411yescharacteristic
303C2×C4×C73C4×D411yescharacteristic
304C2×C4×C73C4×D411yescharacteristic
305C2×C4×C73C23×C411yescharacteristic
306C2×C4×C73C22×D411yescharacteristic
307C2×C4×C73C22×D411yescharacteristic
308C2×C4×C73C2×#4111yescharacteristic
309C2×C4×C73H(5,𝔽2)11yescharacteristic
310C2×C4×C732−1+411yescharacteristic
311C22⋊D73—22no—
312C22⋊D73—22no—
313C2×Dic73—21no—
314C2×Dic73—21no—
315C2×Dic73—21no—
316D292—21no—
317D292C4×D412yes—
318C4×D73—22no—
319C4×D73—22no—
320C4×D73—42no—
321C4×D73—81no—
322Dic146—21no—
323Dic146C4×D412yes—
324C8×C73—41no—
325C8×C73—41no—
326#10596831—21no—
327#10596831—21no—
328#10596831—21no—
329#10596831—21no—
330#10596831—21no—
331#10596831—21no—
332#10596831—21no—
333#10596831—21no—
334#10596831—22no—
335#10596831—41no—
336C22×C73—21no—
337C22×C73—21no—
338C22×C73—41no—
339C22×C73—41no—
340C22×C73—41no—
341C22×C73—41no—
342C22×C73—41no—
343C22×C73—41no—
344C22×C73C2×C4×D411yescharacteristic
345C22×C73#54711yescharacteristic
346C22×C73#55311yescharacteristic
347C2×D73—22no—
348C2×D73—41no—
349C2×D73—41no—
350C4×C73—21no—
351C4×C73—21no—
352C4×C73—21no—
353C4×C73—21no—
354C4×C73—42no—
355C4×C73—41no—
356C4×C73—41no—
357C4×C73—81no—
358C4×C73C2×C4×D411yescharacteristic
359C4×C73#52011yescharacteristic
360C4×C73D4211yescharacteristic
361C4×C73#54811yescharacteristic
362Dic73—22no—
363Dic73—41no—
364Dic73—41no—
365#23017—731nomaximal, Sylow
366C2×C73—21no—
367C2×C73—21no—
368C2×C73—81no—
369C2×C73—81no—
370C2×C73#236111yescharacteristic
371C2×C73#295511yescharacteristic
372C2×C73#295711yescharacteristic
373D73—42no—
374#3035—731no—
375C2×#444—731no—
376C2×#443—731no—
377#2935—731no—
378#2906—731no—
379#1963D7311yescharacteristic, complemented
380#1950—731no—
381#1938—731no—
382#1937—731no—
383#1876—731no—
384#1876—731no—
385#1866—731no—
386#1866—731no—
387#1768—731no—
388#1759—731no—
389C73#2301711yescharacteristic, complemented, Sylow
390C2×#135—731no—
391C2×#135—731no—
392C2×#131—731no—
393C2×#131—731no—
394C2×#131—731no—
395C2×#131—731no—
396#532C2×D7311yescharacteristic
397C4×#41—731no—
398#464—731no—
399#464—731no—
400#463—731no—
401#463—731no—
402#462—731no—
403#461—731no—
404#460—731no—
405#459—731no—
406#444—1464no—
407#443—1464no—
408#436—1461no—
409#435—1461no—
410#435—1461no—
411C8×D4—1461no—
412C2×#108—731no—
413C2×#108—731no—
414#424—731no—
415#424—731no—
416#424—1461no—
417#424—1461no—
418#423—1461no—
419#423C2×D7311yescharacteristic
420C2×C4⋊C8—731no—
421C2×C4⋊C8—731no—
422C2×C4⋊C8—1461no—
423C2×#104—731no—
424C2×#104—731no—
425C2×#104C2×D7311yescharacteristic
426C2×#104C2×D7311yescharacteristic
427C2×#104C2×D7311yescharacteristic
428C2×#104C2×D7311yescharacteristic
429#416—731no—
430#416—731no—
431#408—731no—
432#408—731no—
433C4×M16—731no—
434C2×#97—731no—
435C2×C4×C8—731no—
436#376C2×D7311yescharacteristic
437#341—731no—
438#341—731no—
439#339—731no—
440#339—731no—
441#336—731no—
442#336—731no—
443C2×#41—731no—
444C2×#41C22×D7311yescharacteristic
445C2×#41C22×D7311yescharacteristic
446#135—1462no—
447#135—1462no—
448#135—1462no—
449#135—1462no—
450C2×Q16—731no—
451C2×Q16—731no—
452C2×SD16—731no—
453C2×SD16—731no—
454C2×SD16—731no—
455C2×SD16—731no—
456C2×D8—731no—
457C2×D8—731no—
458#131—2921no—
459#131—2921no—
460#131—2921no—
461#131—2921no—
462#131—1462no—
463#131—1462no—
464#131—1462no—
465#131—1462no—
466C2×M16—731no—
467C2×M16—731no—
468C2×M16—1461no—
469C2×M16—1461no—
470C2×M16—1461no—
471C2×M16—1461no—
472C2×M16C22×D7311yescharacteristic
473C2×M16C22×D7311yescharacteristic
474C22×C8—731no—
475C22×C8—731no—
476C22×C8—731no—
477C22×C8—731no—
478C22×C8—1461no—
479C22×C8—1461no—
480C22×C8—1461no—
481C22×C8—1461no—
482C4⋊Q8C4×D7311yescharacteristic
483#127C4×D7311yescharacteristic
484#124C4×D7311yescharacteristic
485#124C4×D7311yescharacteristic
486#121—21no—
487#121—21no—
488C4×Q8—731no—
489C4×Q8—731no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—731no—
493C4×D4—731no—
494C4×D4—1461no—
495C4×D4—1461no—
496#117—731no—
497#117—1461no—
498C2×C42—1461no—
499C2×C42C22×D7311yescharacteristic
500C2×C42C22×D7311yescharacteristic
501C2×C42C22×D7311yescharacteristic
502#108—1462no—
503#108—1462no—
504C4⋊C8—21no—
505C4⋊C8—21no—
506C4⋊C8—731no—
507C4⋊C8—731no—
508C4⋊C8—731no—
509C4⋊C8—731no—
510C4⋊C8—731no—
511C4⋊C8—731no—
512C4⋊C8—731no—
513C4⋊C8—731no—
514C4⋊C8—1461no—
515C4⋊C8—1461no—
516C4⋊C8—1461no—
517C4⋊C8—1461no—
518#104—22no—
519#104—22no—
520#104—41no—
521#104—41no—
522#104—734no—
523#104—1462no—
524#103—731no—
525#103—731no—
526#103—731no—
527#103—731no—
528#102—731no—
529#102—731no—
530#102—731no—
531#102—731no—
532C22⋊C8—1461no—
533C22⋊C8—1461no—
534C22⋊C8—1461no—
535C22⋊C8—1461no—
536#97—1462no—
537#97—1461no—
538C4×C8—1462no—
539C4×C8—1461no—
540#95—21no—
541#95—21no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—732no—
551#41—732no—
552#41—1461no—
553#41—1461no—
554C2×Q8—731no—
555C2×Q8C2×C4×D7311yescharacteristic
556C2×Q8C2×C4×D7311yescharacteristic
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—731no—
562C2×D4—1461no—
563C2×D4C2×C4×D7311yescharacteristic
564C2×D4C2×C4×D7311yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—1461no—
570C22×C4—1461no—
571C22×C4—1461no—
572C22×C4#1192402711yescharacteristic
573C22×C4#1192402711yescharacteristic
574C22×C4C23×D7311yescharacteristic
575Q16—1462no—
576Q16—1462no—
577SD16—1462no—
578SD16—1462no—
579SD16—1462no—
580SD16—1462no—
581D8—1462no—
582D8—1462no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—2922no—
588M16—2922no—
589M16—2922no—
590M16—2922no—
591M16—732no—
592M16—1461no—
593M16—1461no—
594M16—1461no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—2922no—
598C2×C8—2922no—
599C2×C8—2922no—
600C2×C8—2922no—
601C2×C8—731no—
602C2×C8—731no—
603C2×C8—731no—
604C2×C8—731no—
605C2×C8—731no—
606C2×C8—731no—
607C2×C8—731no—
608C2×C8—731no—
609C2×C8—1461no—
610C2×C8—1461no—
611C2×C8—1461no—
612C2×C8—1461no—
613C2×C8—1461no—
614C2×C8—1461no—
615C2×C8—1461no—
616C2×C8—1461no—
617C2×C8—1461no—
618C2×C8—1461no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—731no—
622C4⋊C4—731no—
623C4⋊C4—1461no—
624C4⋊C4—1461no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—1461no—
630C22⋊C4—1461no—
631C22⋊C4—1461no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42—1461no—
636C42—1461no—
637C42—1461no—
638C42C2×C4×D7311yescharacteristic
639C42C2×C4×D7311yescharacteristic
640C42D4×D7312yes—
641C42D4×D7311yescharacteristic
642C42D4×D7311yescharacteristic
643C23—21no—
644C23—21no—
645C23—1461no—
646C23C2×#1192402711yescharacteristic
647Q8—21no—
648Q8—21no—
649Q8—21no—
650Q8—21no—
651Q8—732no—
652Q8—1461no—
653D4—21no—
654D4—21no—
655D4—21no—
656D4—21no—
657D4—42no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—81no—
663D4—732no—
664D4—1462no—
665D4—1462no—
666D4—1461no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—2922no—
682C2×C4—5841no—
683C2×C4—1461no—
684C2×C4—1461no—
685C2×C4—1461no—
686C2×C4—1462no—
687C2×C4—1462no—
688C2×C4#1455655111yescharacteristic
689C2×C4#1455655111yescharacteristic
690C2×C4#1455655111yescharacteristic
691C2×C4#1455655111yescharacteristic
692C2×C4C22×C4×D7311yescharacteristic
693C2×C4C2×D4×D7311yescharacteristic
694C2×C4C2×D4×D7311yescharacteristic
695C2×C4#41×D7311yescharacteristic
696C2×C4#1455663611yescharacteristic
697C2×C4#1455663811yescharacteristic
698C8—41no—
699C8—41no—
700C8—2921no—
701C8—1461no—
702C8—1461no—
703C8—1461no—
704C8—1462no—
705C8—1461no—
706C8—1461no—
707C8—1461no—
708C8—1461no—
709C8—1461no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—2921no—
719C22—2921no—
720C22—1462no—
721C22C2×#1455655111yescharacteristic
722C22#1798923711yescharacteristic
723C22#1798928411yescharacteristic
724C4—21no—
725C4—21no—
726C4—21no—
727C4—21no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—81no—
732C4—2921no—
733C4—2921no—
734C4—1462no—
735C4C4×D4×D7311yescharacteristic
736C4#1798906611yescharacteristic
737C4#1798922211yescharacteristic
738C4#1798924511yescharacteristic
739C2—21no—
740C2—21no—
741C2—81no—
742C2—81no—
743C2—2922no—
744C2#2261295211yescharacteristic
745C2#2261883011yescharacteristic
746C2#2261884411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1963C2
socleC22×C73C2×C4×D4
prime radical#22619380C2
cosocleC22×C4×C73C24
hypercenter#1963D73
hypocenterC73#23017
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1963

Complements

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

NH ≅ G/Ntype
2. C2×#17988706C2semidirect
3. C2×#17988701C2semidirect
4. #22618675C2semidirect
5. #22618500C2semidirect
6. #22610704C2semidirect
7. #22610639C2semidirect
8. #22610632C2semidirect
9. #22610255C2semidirect
10. #22610255C2semidirect
11. #22610204C2semidirect
12. #22610204C2semidirect
13. #22609788C2semidirect
14. #22609742C2semidirect
15. C73×#1963C2semidirect
23. #17988806C4semidirect
24. #17988806C4semidirect
25. #17988799C4semidirect
26. #17988799C4semidirect
27. #17988794C4semidirect
28. #17988789C4semidirect
29. #17988784C4semidirect
30. #17988779C4semidirect
128. #14556519D4semidirect
379. #1963D73semidirect
389. C73#23017semidirect

Maximal subgroups

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

subgroupindex
#226193802
C2×#179887062
C2×#179887012
#226186752
#226185002
#226107042
#226106392
#226106322
#226102552
#226102042
#226097882
#226097422
C73×#19632
#2301773