Finite Group Databasebeta

← #72335097

Subgroups — #72335097

Order 2048.

At least 10648 conjugacy classes of subgroups; only the 7232 normal subgroups are shown.

The subgroup lattice has 883 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72317011C212yesmaximal, complemented
2#72317010C214yesmaximal, complemented
3#72299911C211yesmaximal, characteristic, complemented
4C2×#154094C214yesmaximal, complemented
5C2×#156684C214yesmaximal, complemented
6C2×#156706C214yesmaximal, complemented
7C2×#158314C211yesmaximal, characteristic, complemented
8C2×#154634C212yesmaximal, complemented
9C22×#14715C214yesmaximal, complemented
10C24×D42C211yesmaximal, characteristic, complemented
11#72219227C214yesmaximal, complemented
12C26×D4C2214yes—
13C24×#127C2211yescharacteristic
14C24×#121C2214yes—
15C24×#120C2214yes—
16C24×#120C2214yescomplemented
17C24×C4×D4C2212yes—
18C23×#392C2212yes—
19C23×#392C2214yescomplemented
20C23×#392C2218yescomplemented
21C23×#392C2212yescomplemented
22C23×#386C2214yescomplemented
23C23×#379C2218yescomplemented
24C23×#379C2214yescomplemented
25C22×#1439C2212yescomplemented
26C22×#1438C2212yes—
27C22×#1438C2214yes—
28C22×#1438C2218yescomplemented
29C22×#1438C2214yescomplemented
30C22×#1438C2214yescomplemented
31C22×#1438C2214yescomplemented
32C22×#1438C2214yescomplemented
33C22×#1438C2218yescomplemented
34C22×#1438C2218yescomplemented
35C22×#1438C2214yescomplemented
36C22×#1438C2212yescomplemented
37C22×#1438C2214yescomplemented
38C22×#1437C2211yescharacteristic, complemented
39C22×C22⋊#95C2214yescomplemented
40C22×C22⋊#95C2214yescomplemented
41C22×C22⋊#95C2214yescomplemented
42C2×#7557C2212yescomplemented
43C2×#7557C2214yescomplemented
44C2×#7555C2214yescomplemented
45C2×#7555C2218yescomplemented
46C2×#7555C2218yescomplemented
47C2×#7555C2214yescomplemented
48C2×#7554C2211yescharacteristic, complemented
49C2×#7554C2212yescomplemented
50C28C2314yes—
51C25×D4D4132yescomplemented
52C25×D4C2312yes—
53C25×D4C2318yes—
54C25×D4C2314yes—
55C25×D4C2314yes—
56C25×D4C2314yes—
57C25×D4C2312yes—
58C26×C4C2314yes—
59C23×#127D418yescomplemented
60C23×#121D4132yescomplemented
61C23×#120D4132yescomplemented
62C23×C4×D4D4116yescomplemented
63C24×C4⋊C4C2312yes—
64C24×C22⋊C4C2312yes—
65C24×C22⋊C4C2314yes—
66C24×C22⋊C4C2314yes—
67C24×C22⋊C4C2318yes—
68C24×C22⋊C4C2314yes—
69C24×C22⋊C4C2314yes—
70C24×C22⋊C4C2314yes—
71C24×C22⋊C4C2314yes—
72C24×C22⋊C4C2311yescharacteristic
73C24×C22⋊C4C2314yes—
74C24×C22⋊C4C2318yes—
75C24×C22⋊C4C2318yes—
76C24×C22⋊C4C2318yes—
77C24×C22⋊C4C2314yes—
78C24×C22⋊C4C2314yes—
79C24×C42C2311yescharacteristic
80C22×#392D4116yescomplemented
81C23×#95C2312yes—
82C23×#95C2312yes—
83C23×#95C2314yes—
84C23×#95C2312yes—
85C23×#95C2314yes—
86C23×#95C2314yes—
87C23×#95C2318yes—
88C23×#95C2312yes—
89C23×#95C2314yes—
90C23×#95C2318yes—
91C23×#95C2314yes—
92C23×#95C2314yes—
93C23×#95C2311yescharacteristic
94C2×#1438D4132yescomplemented
95C27C2×D4116yes—
96C27C2×D4132yes—
97C27C2411yescharacteristic
98C27C2414yes—
99C27C2414yes—
100C24×D4C2×D418yes—
101C24×D4C2×D4116yes—
102C24×D4C2×D4116yes—
103C24×D4C2×D418yes—
104C24×D4C2×D4132yes—
105C24×D4C2×D4132yes—
106C24×D4C2×D4116yes—
107C24×D4C2×D4116yes—
108C24×D4C2×D4132yes—
109C24×D4C2×D4116yes—
110C24×D4C2×D418yes—
111C24×D4C2×D4116yes—
112C24×D4C2×D4116yescomplemented
113C24×D4#4118yes—
114C25×C4C2×D4116yes—
115C25×C4C2×D4116yes—
116C25×C4C2×D4116yes—
117C25×C4C2412yes—
118C25×C4C2414yes—
119C25×C4C2411yescharacteristic
120C25×C4C2414yes—
121C25×C4C2414yes—
122C25×C4C2414yes—
123C25×C4C2411yescharacteristic
124C25×C4C2412yes—
125C23×C4⋊C4C2×D4116yes—
126C23×C4⋊C4C2×D418yes—
127C23×C22⋊C4C2×D4132yes—
128C23×C22⋊C4C2×D4116yes—
129C23×C22⋊C4C2×D4132yes—
130C23×C22⋊C4C2×D4116yes—
131C23×C22⋊C4C2×D418yescomplemented
132C23×C22⋊C4C2×D4132yescomplemented
133C23×C22⋊C4C2×D4116yescomplemented
134C23×C22⋊C4C2×D4132yescomplemented
135C23×C42C2×D414yes—
136C23×C42C2×D418yes—
137C22×#95C2×D4116yescomplemented
138C22×#95C2×D418yescomplemented
139C22×#95C2×D4116yescomplemented
140C26#120164yescomplemented
141C26C22×D414yes—
142C26C22×D418yes—
143C26C22×D4116yes—
144C26C22×D4116yes—
145C26C22×D418yes—
146C26C22×D418yes—
147C26C22×D4116yes—
148C26C22×D418yes—
149C26C22×D4116yes—
150C26C22×D418yes—
151C26C22×D418yes—
152C26C22×D418yes—
153C26C22×D4116yes—
154C26C2×#4118yes—
155C26H(5,𝔽2)12yes—
156C26H(5,𝔽2)18yes—
157C26H(5,𝔽2)116yes—
158C26H(5,𝔽2)18yes—
159C26C2511yescharacteristic
160C23×D4#120132yes—
161C23×D4#120164yes—
162C23×D4#1201128yescomplemented
163C23×D4#120164yescomplemented
164C23×D4#120132yescomplemented
165C23×D4#121164yes—
166C23×D4#121132yes—
167C23×D4#127132yes—
168C24×C4#120164yescomplemented
169C24×C4C22×D418yes—
170C24×C4C22×D414yes—
171C24×C4C22×D418yes—
172C24×C4C22×D4116yes—
173C24×C4C22×D418yes—
174C24×C4C22×D4116yes—
175C24×C4C22×D4116yes—
176C24×C4C22×D418yes—
177C24×C4C22×D418yes—
178C24×C4C22×D418yes—
179C24×C4C22×D414yes—
180C24×C4C22×D418yes—
181C24×C4C22×D412yes—
182C24×C4C22×D418yes—
183C24×C4C22×D414yes—
184C24×C4C22×D414yes—
185C24×C4C22×D418yes—
186C24×C4C22×D414yes—
187C24×C4C22×D414yes—
188C24×C4C22×D418yes—
189C24×C4C2×#4114yes—
190C24×C4H(5,𝔽2)12yes—
191C24×C4H(5,𝔽2)18yes—
192C24×C4H(5,𝔽2)18yes—
193C24×C4H(5,𝔽2)14yes—
194C24×C4H(5,𝔽2)18yes—
195C24×C4H(5,𝔽2)14yes—
196C22×C4⋊C4#120132yescomplemented
197C22×C22⋊C4#120164yescomplemented
198C22×C22⋊C4#120164yescomplemented
199C22×C42#120116yescomplemented
200C25C2×#120116yes—
201C25C2×#120116yes—
202C25C2×#120132yes—
203C25C2×#120132yes—
204C25C2×#120116yes—
205C25C2×#120116yes—
206C25C2×#120132yes—
207C25C2×#120132yes—
208C25C2×#120116yes—
209C25C2×#120116yes—
210C25C2×#120132yes—
211C25C2×#121116yes—
212C25C2×#121132yes—
213C25C2×#127116yes—
214C25#534132yes—
215C25#534132yes—
216C25#535116yes—
217C25#535116yes—
218C25D42116yes—
219C25D42132yes—
220C25D42116yes—
221C25D42132yes—
222C25D42132yes—
223C25D42132yes—
224C25D42132yes—
225C25D4214yescomplemented
226C25#546116yes—
227C25#546132yes—
228C25#546116yes—
229C25C23×D414yes—
230C25C23×D412yes—
231C25C23×D411yescharacteristic
232C25C23×D414yes—
233C25C23×D414yes—
234C25C23×D412yes—
235C25C23×D414yes—
236C25C22×#4112yes—
237C25C2×H(5,𝔽2)14yes—
238C25C2×H(5,𝔽2)18yes—
239C25C2×H(5,𝔽2)14yes—
240C25C2×H(5,𝔽2)12yes—
241C25C2×H(5,𝔽2)12yes—
242C25C2×H(5,𝔽2)14yes—
243C25C2×H(5,𝔽2)11yescharacteristic
244C25C2×H(5,𝔽2)14yes—
245C25C2×H(5,𝔽2)14yes—
246C25C2×H(5,𝔽2)11yescharacteristic
247C25#58512yes—
248C25#58514yes—
249C22×D4#3921128yescomplemented
250C23×C4C2×#12014yes—
251C23×C4C2×#12018yes—
252C23×C4C2×#120116yes—
253C23×C4C2×#120132yes—
254C23×C4C2×#120116yes—
255C23×C4C2×#120116yes—
256C23×C4C2×#120132yes—
257C23×C4C2×#120116yes—
258C23×C4C2×#12018yes—
259C23×C4C2×#120116yes—
260C23×C4C2×#120116yes—
261C23×C4C2×#12018yes—
262C23×C4C2×#12018yes—
263C23×C4C2×#120116yes—
264C23×C4C2×#12118yes—
265C23×C4C2×#121116yes—
266C23×C4C2×#12718yes—
267C23×C4#534116yes—
268C23×C4#534116yes—
269C23×C4#53518yes—
270C23×C4#53518yes—
271C23×C4D4218yes—
272C23×C4D42116yes—
273C23×C4D4218yes—
274C23×C4D42116yes—
275C23×C4D42116yes—
276C23×C4D42116yes—
277C23×C4D42116yes—
278C23×C4D42116yescomplemented
279C23×C4D42116yescomplemented
280C23×C4#54618yes—
281C23×C4#546116yes—
282C23×C4#54618yes—
283C24C2×#392132yes—
284C24#2403164yes—
285C24#2403164yes—
286C24#2408132yes—
287C24#2408132yes—
288C24#2410164yes—
289C24#2410164yes—
290C24#2433132yes—
291C24#2433132yes—
292C24#2613132yes—
293C24#2846132yes—
294C24#2846132yes—
295C24C22×#12012yes—
296C24C22×#12014yes—
297C24C22×#12014yes—
298C24C22×#12018yes—
299C24C22×#12014yes—
300C24C22×#12014yes—
301C24C22×#12012yes—
302C24C22×#12012yes—
303C24C22×#12014yes—
304C24C22×#12011yescharacteristic
305C24C22×#12014yes—
306C24C22×#12114yes—
307C24C22×#12112yes—
308C24C22×#12712yes—
309C24C2×#53418yes—
310C24C2×#53414yes—
311C24C2×#53418yes—
312C24C2×#53414yes—
313C24C2×#53514yes—
314C24C2×#53512yes—
315C24C2×#53514yes—
316C24C2×#53512yes—
317C24C2×D4214yes—
318C24C2×D4218yes—
319C24C2×D4218yes—
320C24C2×D4218yes—
321C24C2×D4212yes—
322C24C2×D4214yes—
323C24C2×D4214yes—
324C24C2×D4214yes—
325C24C2×D4214yes—
326C24C2×D4212yes—
327C24C2×D4214yes—
328C24C2×D4214yes—
329C24C2×D4214yes—
330C24C2×D4214yes—
331C24C2×D4218yes—
332C24C2×D4218yes—
333C24C2×D4211yescharacteristic
334C24C2×#54618yes—
335C24C2×#54614yes—
336C24C2×#54614yes—
337C24C2×#54612yes—
338C24C2×#54614yes—
339C24C2×#54612yes—
340C24D4×#4114yes—
341C24D4×#4112yes—
342C24#348111yescharacteristic
343C24#348418yes—
344C24#348414yes—
345C24#348414yes—
346C24#348414yes—
347C24#348418yes—
348C24#348418yes—
349C24#348418yes—
350C24#348418yes—
351C24#348411yescharacteristic
352C24#348414yes—
353C24#348412yes—
354C24#348414yes—
355C24#348414yes—
356C24#348414yes—
357C24#348414yes—
358C24#348418yes—
359C24#348414yes—
360C24#348414yes—
361C24#348414yes—
362C24#348414yes—
363C24#348412yes—
364C24#348412yes—
365C24#348414yes—
366C24#348418yes—
367C24#348418yes—
368C24#348414yes—
369C24#348418yes—
370C24#348418yes—
371C24#348418yes—
372C24#348514yes—
373C24#348514yes—
374C24#348511yescharacteristic
375C24#348814yes—
376C24#348818yes—
377C24#348814yes—
378C24#348812yes—
379C24#348812yes—
380C24#348814yes—
381C24#348814yes—
382C24#348814yes—
383C24#348818yes—
384C24#348814yes—
385C24#349618yes—
386C24#349614yes—
387C24#349614yes—
388C24#349614yes—
389C24#349614yes—
390C24#349618yes—
391C24#349614yes—
392C24#349618yes—
393C24#349612yes—
394C24#349814yes—
395C24#349814yes—
396C24#349812yes—
397C24#349814yes—
398C24#349818yes—
399C24#349812yes—
400C24#349818yes—
401C24#350012yes—
402C24#350014yes—
403C24#351314yes—
404C24#351412yes—
405C24#351918yes—
406C24#351914yes—
407C24#351914yes—
408C24#351912yes—
409C24#353214yes—
410C24#353218yes—
411C24#353214yes—
412C24#353214yes—
413C24#353418yes—
414C24#353418yes—
415C24#353418yes—
416C24#353718yes—
417C24#353714yes—
418C24#353714yes—
419C24#353714yes—
420C24#353714yes—
421C24#353718yes—
422C24#353718yes—
423C24#354214yes—
424C24#354214yes—
425C24#354214yes—
426C24#354318yes—
427C24#354318yes—
428C24#354314yes—
429C24#354314yes—
430C24#354311yescharacteristic
431C24#354614yes—
432C24#354612yes—
433C24#354914yes—
434C24#354911yescharacteristic
435C24#355814yes—
436C24#355818yes—
437C22×C4C2×#392116yes—
438C22×C4#2403132yes—
439C22×C4#2403132yes—
440C22×C4#2408116yes—
441C22×C4#2408116yes—
442C22×C4#2410132yes—
443C22×C4#2410132yes—
444C22×C4#2433116yes—
445C22×C4#2433116yes—
446C22×C4#2613116yes—
447C22×C4#284618yes—
448C22×C4#2846132yes—
449C22×C4#2846116yes—
450C23#14715164yescomplemented
451C23C22×#39212yes—
452C23C2×#261312yes—
453C23C2×#261314yes—
454C23C2×#240318yes—
455C23C2×#240314yes—
456C23C2×#240318yes—
457C23C2×#240314yes—
458C23C2×#241018yes—
459C23C2×#241018yes—
460C23C2×#241014yes—
461C23C2×#241014yes—
462C23C2×#240814yes—
463C23C2×#240812yes—
464C23C2×#240814yes—
465C23C2×#240812yes—
466C23C2×#243314yes—
467C23C2×#243312yes—
468C23C2×#243314yes—
469C23C2×#243312yes—
470C23#3498018yes—
471C23#3498018yes—
472C23#3498018yes—
473C23#3498014yes—
474C23#3498014yes—
475C23#3498018yes—
476C23#3498018yes—
477C23#3522214yes—
478C23#3522214yes—
479C23#3522214yes—
480C23#3522212yes—
481C23#3522212yes—
482C23#3522214yes—
483C23#3522214yes—
484C23#3534612yes—
485C23#3534614yes—
486C23#3534718yes—
487C23#3534714yes—
488C23#3534714yes—
489C23#3534712yes—
490C23#3551214yes—
491C23#3551211yescharacteristic
492C23#3551214yes—
493C23#3551314yes—
494C23#3551314yes—
495C23#3551312yes—
496C23#3551318yes—
497C23#3552711yescharacteristic
498C23#3552714yes—
499C23#3552714yes—
500C23#3568014yes—
501C23#3568018yes—
502C23#3568018yes—
503C23#3568014yes—
504C23#3568018yes—
505C23#3568012yes—
506C23#3568018yes—
507C23#3568014yes—
508C23#3568014yes—
509C23#3568014yes—
510C23#3568014yes—
511C23#3568014yes—
512C23#3568018yes—
513C23#3569114yes—
514C23#3569118yes—
515C23#3569112yes—
516C23#3569114yes—
517C23#3572812yes—
518C23#3575012yes—
519C23#3575018yes—
520C23#3575014yes—
521C23#3575014yes—
522C23#3576114yes—
523C23#3592112yes—
524C23#3592114yes—
525C23#3592112yes—
526C23#3608212yes—
527C23#3609112yes—
528C23#3609114yes—
529C23D4×#12012yes—
530C23D4×#12014yes—
531C23D4×#12018yes—
532C23D4×#12018yes—
533C23D4×#12014yes—
534C23D4×#12018yes—
535C23D4×#12018yes—
536C23D4×#12014yes—
537C23D4×#12012yes—
538C23D4×#12014yes—
539C23D4×#12014yes—
540C23D4×#12014yes—
541C23D4×#12018yes—
542C23D4×#12014yes—
543C23D4×#12018yes—
544C23D4×#12018yes—
545C23D4×#12018yes—
546C23D4×#12018yes—
547C23D4×#12014yes—
548C23D4×#12118yes—
549C23D4×#12114yes—
550C23D4×#12114yes—
551C23D4×#12112yes—
552C23D4×#12712yes—
553C23D4×#12714yes—
554C23#3615218yes—
555C23#3615218yes—
556C23#3615212yes—
557C23#3615214yes—
558C23#3615212yes—
559C23#3615214yes—
560C23#3615214yes—
561C23#3621214yes—
562C23#3621414yes—
563C23#3625812yes—
564C23#3626012yes—
565C23C2×#284614yes—
566C23C2×#284612yes—
567C23C2×#284614yes—
568C23C2×#284614yes—
569C23C2×#284611yescharacteristic
570C23#3764418yes—
571C23#3764418yes—
572C23#3764618yes—
573C23#3765014yes—
574C23#3765014yes—
575C23#3765014yes—
576C23#3767218yes—
577C23#3767218yes—
578C23#3767218yes—
579C23#3767414yes—
580C23#3767414yes—
581C23#3767714yes—
582C23#3802018yes—
583C23#3802614yes—
584C23#3807618yes—
585C23#3808014yes—
586C23#3890414yes—
587C23#3891012yes—
588C23#3894914yes—
589C23#3895312yes—
590C23#3933618yes—
591C23#3933814yes—
592C23#3934212yes—
593C23#3934214yes—
594C23#3935814yes—
595C23#3935818yes—
596C23#3936114yes—
597C23#3936212yes—
598C23#4048418yes—
599C23#4048418yes—
600C23#4048618yes—
601C23#4048618yes—
602C23#4049014yes—
603C23#4049014yes—
604C23#4049014yes—
605C23#4049414yes—
606C23#4058418yes—
607C23#4058418yes—
608C23#4058418yes—
609C23#4058518yes—
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626C23#4299618yes—
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628C23#4299618yes—
629C23#4299818yes—
630C23#4300118yes—
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632C23#4300118yes—
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634C23#4300118yes—
635C23#4300118yes—
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664C23#4493214yes—
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669C23#4782714yes—
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682C23#4794618yes—
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687C23#5200412yes—
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689C23#5200812yes—
690C23#5203118yes—
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703C23#5903512yes—
704C23#5904111yescharacteristic
705C23#5908914yes—
706C23#5909518yes—
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709C23#5912614yes—
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713C23#5912611yescharacteristic
714C23#5913114yes—
715C23#5940814yes—
716C23#5941214yes—
717C23#5980814yes—
718C23#5981614yes—
719C2×C4#14715132yescomplemented
720C22C2×#1471514yes—
721C22C2×#1471512yes—
722C22#61242418yes—
723C22#61242414yes—
724C22#61242414yes—
725C22#61243314yes—
726C22#61243314yes—
727C22#61243318yes—
728C22#61279214yes—
729C22#61279212yes—
730C22#61279212yes—
731C22#61280112yes—
732C22#61280114yes—
733C22#61280112yes—
734C22#64765614yes—
735C22#64766314yes—
736C22#64771418yes—
737C22#64772314yes—
738C22#64903814yes—
739C22#64910114yes—
740C22#64910614yes—
741C22#67414111yescharacteristic
742C22#67417212yes—
743C22#67465611yescharacteristic
744C22#68620018yes—
745C22#68620714yes—
746C22#68625818yes—
747C22#68626714yes—
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830C22#141839418yes—
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832C22#141935618yes—
833C22#141937112yes—
834C22#142027114yes—
835C22#142027214yes—
836C22D4×#39214yes—
837C22D4×#39212yes—
838C22#430652312yes—
839C22#430793714yes—
840C22#430793712yes—
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850C22#442118311yescharacteristic
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861C22#634237111yescharacteristic
862C2#7223392614yes—
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864C2#7225026711yescharacteristic
865C2#7225028714yes—
866C2#7225029112yes—
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870C2#7225101314yes—
871C2#7225103211yescharacteristic
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873C2#7225103411yescharacteristic
874C2#7225208114yes—
875C2#7225208214yes—
876C2#7227821112yes—
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878C2#7233000814yes—
879C2#7233302314yes—
880C2#7233499612yes—
881C2#7233499814yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC26C25
LCSG ▷ C26 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C26 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72317011C2semidirect
2. #72317010C2semidirect
3. #72299911C2semidirect
4. C2×#154094C2semidirect
5. C2×#156684C2semidirect
6. C2×#156706C2semidirect
7. C2×#158314C2semidirect
8. C2×#154634C2semidirect
9. C22×#14715C2semidirect
10. C24×D42C2semidirect
11. #72219227C2semidirect
16. C24×#120C22semidirect
19. C23×#392C22semidirect
20. C23×#392C22semidirect
21. C23×#392C22semidirect
22. C23×#386C22semidirect
23. C23×#379C22semidirect
24. C23×#379C22semidirect
25. C22×#1439C22semidirect
28. C22×#1438C22semidirect
29. C22×#1438C22semidirect
30. C22×#1438C22semidirect
31. C22×#1438C22semidirect
32. C22×#1438C22semidirect
33. C22×#1438C22semidirect
34. C22×#1438C22semidirect
35. C22×#1438C22semidirect
36. C22×#1438C22semidirect
37. C22×#1438C22semidirect
38. C22×#1437C22semidirect
39. C22×C22⋊#95C22semidirect
40. C22×C22⋊#95C22semidirect
41. C22×C22⋊#95C22semidirect
42. C2×#7557C22semidirect
43. C2×#7557C22semidirect
44. C2×#7555C22semidirect
45. C2×#7555C22semidirect
46. C2×#7555C22semidirect
47. C2×#7555C22semidirect
48. C2×#7554C22semidirect
49. C2×#7554C22semidirect
51. C25×D4D4semidirect
59. C23×#127D4semidirect
60. C23×#121D4semidirect
61. C23×#120D4semidirect
62. C23×C4×D4D4semidirect
80. C22×#392D4semidirect
94. C2×#1438D4semidirect
112. C24×D4C2×D4semidirect
131. C23×C22⋊C4C2×D4semidirect
132. C23×C22⋊C4C2×D4semidirect
133. C23×C22⋊C4C2×D4semidirect
134. C23×C22⋊C4C2×D4semidirect
137. C22×#95C2×D4semidirect
138. C22×#95C2×D4semidirect
139. C22×#95C2×D4semidirect
140. C26#120semidirect
162. C23×D4#120semidirect
163. C23×D4#120semidirect
164. C23×D4#120semidirect
168. C24×C4#120semidirect
196. C22×C4⋊C4#120semidirect
197. C22×C22⋊C4#120semidirect
198. C22×C22⋊C4#120semidirect
199. C22×C42#120semidirect
225. C25D42semidirect
249. C22×D4#392semidirect
278. C23×C4D42semidirect
279. C23×C4D42semidirect
450. C23#14715semidirect
719. C2×C4#14715semidirect

Maximal subgroups

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

subgroupindex
#723170112
#723170102
#722999112
C2×#1540942
C2×#1566842
C2×#1567062
C2×#1583142
C2×#1546342
C22×#147152
C24×D422
#722192272