Finite Group Databasebeta

← #72336076

Subgroups — #72336076

Order 1024.

70997 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3496C211yesmaximal, characteristic, complemented
2C2×#35346C214yesmaximal, complemented
3C22×#2433C212yesmaximal, complemented
4C22×#2408C211yesmaximal, characteristic, complemented
5#5955303C214yesmaximal, complemented
6#763817C214yesmaximal, complemented
7#763814C214yesmaximal, complemented
8#759733C214yesmaximal, complemented
9#759292C214yesmaximal, complemented
10#719142C2116yesmaximal, complemented
11#670313C218yesmaximal, complemented
12#649038C218yesmaximal, complemented
13#516425C212yesmaximal, complemented
14C4×#2308C211yesmaximal, characteristic, complemented
15C23×H(5,𝔽2)C2212yes—
16C25×D4C2211yescharacteristic, complemented
17C2×#3496—232no—
18C2×#3496—216no—
19C22×#547C2214yescomplemented
20C22×#546C2218yescomplemented
21C22×D42C2214yescomplemented
22C22×#537C2212yescomplemented
23C22×#534C2212yes—
24C22×#534C2212yescomplemented
25C22×#532C2212yescomplemented
26C23×#127C2214yescomplemented
27C23×#121C2212yes—
28C23×#121C2212yescomplemented
29C23×#121C2212yescomplemented
30C23×#120C2212yes—
31C23×#120C2218yescomplemented
32C23×C4×D4C2211yescharacteristic
33#35346—264no—
34C2×#2404C22132yescomplemented
35C2×#2404C22116yescomplemented
36C2×#2433—232no—
37C2×#2433C2218yescomplemented
38C2×#2433C2218yescomplemented
39C2×#2433C2218yescomplemented
40C2×#2433C2218yescomplemented
41C2×#2433C2218yescomplemented
42C2×#2408—216no—
43C2×#2408C2218yescomplemented
44C2×#2408C2218yescomplemented
45C2×#2403C22132yescomplemented
46C2×#2403C22116yescomplemented
47C22×#394C2212yescomplemented
48C22×#392C2218yescomplemented
49C22×#392C2212yescomplemented
50C2×#2308C2212yes—
51C2×#2308C2218yescomplemented
52C22×#390C2212yescomplemented
53C22×#390C2214yescomplemented
54C22×#380C2211yescharacteristic, complemented
55C22×#379C2212yescomplemented
56C22×C4×C22⋊C4C2212yescomplemented
57#16509C22116yescomplemented
58#16252C22116yescomplemented
59#15453C22132yescomplemented
60#15412C22132yescomplemented
61#15310C22132yescomplemented
62#15258C22132yescomplemented
63#15144C2218yescomplemented
64#15142C2218yescomplemented
65#15124C22116yescomplemented
66#14911C22132yescomplemented
67#14811C22116yescomplemented
68#14716C22116yescomplemented
69#14716C22116yescomplemented
70#14716C22116yescomplemented
71#14715C22132yescomplemented
72#14698C2218yescomplemented
73#14271C2218yescomplemented
74#14152C2218yescomplemented
75#14137C2218yescomplemented
76#14137C2218yescomplemented
77#14025C22116yescomplemented
78#13904C2214yescomplemented
79#13903C2218yescomplemented
80#13902C2214yescomplemented
81#13794C2212yescomplemented
82#13784C2218yescomplemented
83#13776C2212yescomplemented
84#13775C2212yescomplemented
85C4×#381C2212yescomplemented
86C4×#379C2212yescomplemented
87C4×#386C2218yescomplemented
88C27C2312yes—
89C22×H(5,𝔽2)—232no—
90C22×H(5,𝔽2)—216no—
91C22×H(5,𝔽2)—232no—
92C22×H(5,𝔽2)—416no—
93C23×#41C2314yes—
94C23×#41C2318yes—
95C24×D4—28no—
96C24×D4—216no—
97C24×D4—416no—
98C24×D4C2314yes—
99C24×D4C2314yes—
100C24×D4C2318yes—
101C24×D4C2314yes—
102C24×D4C2312yes—
103C24×D4C2311yescharacteristic
104C24×D4C2314yes—
105C24×D4C2312yes—
106C24×D4C2314yes—
107C24×D4C2312yes—
108C24×D4C23116yes—
109C24×D4C2312yescomplemented
110C25×C4C2311yescharacteristic
111C25×C4C2311yescharacteristic
112#3496—2512no—
113C2×#547—232no—
114C2×#547—232no—
115C2×#547—232no—
116C2×#546—264no—
117C2×#546—264no—
118C2×#546—264no—
119C2×D42—232no—
120C2×D42—232no—
121C2×D42—232no—
122C2×#537—232no—
123C2×#537—216no—
124C2×#534—232no—
125C2×#534—232no—
126C2×#534—216no—
127C2×#534—216no—
128C2×#532—216no—
129C2×#532—232no—
130C22×C4⋊Q8C2312yescomplemented
131C22×#127—232no—
132C22×#127—432no—
133C22×#127C23116yes—
134C22×#127C23116yes—
135C22×#127C2312yescomplemented
136C22×#124C2314yescomplemented
137C22×#123C2318yes—
138C22×#123C2318yescomplemented
139C22×C22⋊Q8C2318yescomplemented
140C22×#121—216no—
141C22×#121—216no—
142C22×#121—216no—
143C22×#121—232no—
144C22×#121—216no—
145C22×#121—416no—
146C22×#121D4132yescomplemented
147C22×#121C2314yes—
148C22×#121C2314yes—
149C22×#121C2318yes—
150C22×#121C2314yes—
151C22×#121C2314yes—
152C22×#121C2314yes—
153C22×#121C2314yes—
154C22×#121C2318yes—
155C22×#121C2314yescomplemented
156C22×#121C2314yescomplemented
157C22×#121C2318yescomplemented
158C22×#120—232no—
159C22×#120—216no—
160C22×#120—264no—
161C22×#120—264no—
162C22×#120—432no—
163C22×#120C23116yes—
164C22×#120C2318yes—
165C22×#120C23132yes—
166C22×#120C23132yes—
167C22×#120C2318yescomplemented
168C22×#120C23132yescomplemented
169C22×C4×D4—216no—
170C22×C4×D4D4116yescomplemented
171C22×C4×D4C2314yes—
172C22×C4×D4C2314yes—
173C22×C4×D4C2314yescomplemented
174C22×C4×D4C2314yescomplemented
175C23×C4⋊C4C2312yes—
176C23×C4⋊C4C2311yescharacteristic
177C23×C4⋊C4C2312yes—
178C23×C4⋊C4C2312yescomplemented
179C23×C22⋊C4C2314yes—
180C23×C22⋊C4C2312yes—
181C23×C22⋊C4C23116yes—
182C23×C22⋊C4C2311yescharacteristic
183C23×C22⋊C4C2314yes—
184C23×C22⋊C4C2311yescharacteristic
185C23×C22⋊C4C2314yes—
186C23×C22⋊C4C2314yes—
187C23×C22⋊C4C2314yes—
188C23×C22⋊C4C2314yescomplemented
189C23×C42C2311yescharacteristic
190C23×C42C2314yes—
191#2433—264no—
192#2433—264no—
193#2433—264no—
194#2433—264no—
195#2433—432no—
196#2408—264no—
197#2408—264no—
198#2404—2256no—
199#2404—2128no—
200#2403—2256no—
201#2403—2128no—
202C2×#394—216no—
203C2×#394C23116yes—
204C2×#393C23132yescomplemented
205C2×#392—216no—
206C2×#392—264no—
207C2×#392C23116yes—
208C2×#392C23132yes—
209C2×#392C23132yes—
210C2×#392C23164yescomplemented
211C2×#392C23132yescomplemented
212C2×#392C23132yescomplemented
213C2×#392C23132yescomplemented
214#2308—264no—
215#2308D4132yescomplemented
216C2×#390—216no—
217C2×#390—232no—
218C2×#390C23116yes—
219C2×#390C2318yes—
220C2×#390C23116yes—
221C2×#390C2318yes—
222C2×#390C23116yescomplemented
223C2×#386C23132yes—
224C2×#386C23132yes—
225C2×#386C23116yes—
226C2×#386C23132yescomplemented
227C2×#386C23164yescomplemented
228C2×#381C23116yes—
229C2×#381C2314yes—
230C2×#380—28no—
231C2×#380C2314yes—
232C2×#380C2314yes—
233C2×#379—216no—
234C2×#379C23116yes—
235C2×#379C23116yes—
236C2×#379C2314yes—
237C2×C4×C22⋊C4—216no—
238C2×C4×C22⋊C4C2314yes—
239C2×C4×C22⋊C4C2314yes—
240C2×C4×C22⋊C4C2314yes—
241C2×C4×C22⋊C4C2314yes—
242C2×C4×C22⋊C4C2318yescomplemented
243C22×#95C2312yes—
244C22×#95C2314yes—
245#1445C23116yescomplemented
246#1439C23132yescomplemented
247#1439C23132yescomplemented
248#1439C23132yescomplemented
249#1438C23164yescomplemented
250#1438C23164yescomplemented
251#1438C23116yescomplemented
252#1437C23116yescomplemented
253#1437C23132yescomplemented
254#1436C23116yescomplemented
255C4⋊#95C23116yescomplemented
256#1434C2318yescomplemented
257C22⋊#95C23116yes—
258C22⋊#95C2314yes—
259C22⋊#95C2314yes—
260C22⋊#95C2318yescomplemented
261C4×#95C2318yescomplemented
262C26—216no—
263C26—28no—
264C26—216no—
265C26—216no—
266C26—416no—
267C26—88no—
268C26C2418yes—
269C26C2414yes—
270C26C2414yes—
271C26C2414yes—
272C26C2411yescharacteristic
273C26C2411yescharacteristic
274C2×H(5,𝔽2)—2256no—
275C2×H(5,𝔽2)—4512no—
276C2×H(5,𝔽2)—4128no—
277C2×H(5,𝔽2)—4128no—
278C22×#41—232no—
279C22×#41—232no—
280C22×#41—232no—
281C22×#41—264no—
282C22×#41—216no—
283C22×#41—232no—
284C22×#41—232no—
285C22×#41—416no—
286C22×#41—432no—
287C23×Q8C2414yes—
288C23×D4—28no—
289C23×D4—28no—
290C23×D4—232no—
291C23×D4—216no—
292C23×D4—216no—
293C23×D4—216no—
294C23×D4—232no—
295C23×D4—232no—
296C23×D4—232no—
297C23×D4—232no—
298C23×D4—232no—
299C23×D4—216no—
300C23×D4—232no—
301C23×D4—216no—
302C23×D4—232no—
303C23×D4—216no—
304C23×D4—264no—
305C23×D4—232no—
306C23×D4—264no—
307C23×D4—28no—
308C23×D4—216no—
309C23×D4—28no—
310C23×D4—28no—
311C23×D4—28no—
312C23×D4—216no—
313C23×D4—28no—
314C23×D4—216no—
315C23×D4—216no—
316C23×D4—216no—
317C23×D4—216no—
318C23×D4—216no—
319C23×D4—216no—
320C23×D4—264no—
321C23×D4—48no—
322C23×D4—416no—
323C23×D4—416no—
324C23×D4—416no—
325C23×D4—432no—
326C23×D4—432no—
327C23×D4—416no—
328C23×D4—432no—
329C23×D4—416no—
330C23×D4—416no—
331C23×D4—464no—
332C23×D4—4128no—
333C23×D4—4256no—
334C23×D4—464no—
335C23×D4—832no—
336C23×D4—88no—
337C23×D4C2×D4132yes—
338C23×D4C2×D4116yes—
339C23×D4C2×D418yes—
340C23×D4C2×D4116yescomplemented
341C23×D4C2418yes—
342C23×D4C2418yes—
343C23×D4C2414yes—
344C23×D4C2414yes—
345C23×D4C2414yes—
346C23×D4C2418yes—
347C23×D4C2418yes—
348C23×D4C2414yes—
349C23×D4C24116yes—
350C23×D4C2414yes—
351C23×D4C24164yes—
352C23×D4C2414yes—
353C23×D4C2414yes—
354C23×D4C2414yes—
355C24×C4—28no—
356C24×C4—48no—
357C24×C4—48no—
358C24×C4C2×D4116yes—
359C24×C4C2×D418yes—
360C24×C4C2×D418yescomplemented
361C24×C4C2412yes—
362C24×C4C2414yes—
363C24×C4C2414yes—
364C24×C4C2418yes—
365C24×C4C2411yescharacteristic
366C24×C4C2412yes—
367C24×C4C2411yescharacteristic
368C24×C4C2414yes—
369C24×C4C2411yescharacteristic
370C24×C4C2412yes—
371C24×C4C2418yes—
372C24×C4C2411yescharacteristic
373C24×C4C2412yes—
374C24×C4C2411yescharacteristic
375#547—2512no—
376#546—21024no—
377D42—2512no—
378#537—2256no—
379#534—2256no—
380#534—2256no—
381#532—2256no—
382C2×C4⋊Q8—216no—
383C2×C4⋊Q8—28no—
384C2×#127—216no—
385C2×#127—264no—
386C2×#127—264no—
387C2×#127—264no—
388C2×#127—28no—
389C2×#127—432no—
390C2×#127—464no—
391C2×#127—4256no—
392C2×#124—232no—
393C2×#124—216no—
394C2×#123—232no—
395C2×#123—232no—
396C2×#123—232no—
397C2×#123—232no—
398C2×#123—232no—
399C2×#123—232no—
400C2×C22⋊Q8—232no—
401C2×C22⋊Q8—232no—
402C2×C22⋊Q8—232no—
403C2×#121—2256no—
404C2×#121—232no—
405C2×#121—216no—
406C2×#121—232no—
407C2×#121—232no—
408C2×#121—2256no—
409C2×#121—216no—
410C2×#121—216no—
411C2×#121—216no—
412C2×#121—216no—
413C2×#121—216no—
414C2×#121—216no—
415C2×#121—216no—
416C2×#121—216no—
417C2×#121—216no—
418C2×#121—216no—
419C2×#121—216no—
420C2×#121—216no—
421C2×#121—232no—
422C2×#121—232no—
423C2×#121—232no—
424C2×#121—216no—
425C2×#121—232no—
426C2×#121—232no—
427C2×#121—232no—
428C2×#121—432no—
429C2×#121—416no—
430C2×#121—4128no—
431C2×#121C2×D4132yescomplemented
432C2×#121C2×D4132yescomplemented
433C2×#121C2×D4132yescomplemented
434C2×#121C2×D4132yescomplemented
435C2×#120—232no—
436C2×#120—232no—
437C2×#120—232no—
438C2×#120—2128no—
439C2×#120—264no—
440C2×#120—2128no—
441C2×#120—2128no—
442C2×#120—232no—
443C2×#120—232no—
444C2×#120—232no—
445C2×#120—2128no—
446C2×#120—2128no—
447C2×#120—2128no—
448C2×#120—464no—
449C2×#120—464no—
450C2×#120—4512no—
451C2×#120—4128no—
452C2×#120—464no—
453C2×#120—832no—
454C2×C4×D4—216no—
455C2×C4×D4—2128no—
456C2×C4×D4—216no—
457C2×C4×D4—216no—
458C2×C4×D4—216no—
459C2×C4×D4—216no—
460C2×C4×D4—216no—
461C2×C4×D4—232no—
462C2×C4×D4—216no—
463C2×C4×D4—216no—
464C2×C4×D4C2×D4132yescomplemented
465C2×C4×D4C2×D4132yescomplemented
466C22×C4⋊C4—28no—
467C22×C4⋊C4—28no—
468C22×C4⋊C4—28no—
469C22×C4⋊C4—28no—
470C22×C4⋊C4—216no—
471C22×C4⋊C4—28no—
472C22×C4⋊C4—48no—
473C22×C4⋊C4C2×D418yescomplemented
474C22×C4⋊C4C2×D4116yescomplemented
475C22×C4⋊C4C2414yes—
476C22×C4⋊C4C2414yes—
477C22×C4⋊C4C2414yes—
478C22×C4⋊C4C2414yes—
479C22×C4⋊C4C2414yes—
480C22×C4⋊C4C2414yes—
481C22×C4⋊C4C2414yes—
482C22×C22⋊C4—28no—
483C22×C22⋊C4—216no—
484C22×C22⋊C4—216no—
485C22×C22⋊C4—28no—
486C22×C22⋊C4—216no—
487C22×C22⋊C4—216no—
488C22×C22⋊C4—216no—
489C22×C22⋊C4—232no—
490C22×C22⋊C4—216no—
491C22×C22⋊C4—28no—
492C22×C22⋊C4—264no—
493C22×C22⋊C4—216no—
494C22×C22⋊C4—216no—
495C22×C22⋊C4—264no—
496C22×C22⋊C4—232no—
497C22×C22⋊C4—216no—
498C22×C22⋊C4—416no—
499C22×C22⋊C4—432no—
500C22×C22⋊C4—88no—
501C22×C22⋊C4C2×D418yes—
502C22×C22⋊C4C2×D4132yescomplemented
503C22×C22⋊C4C2×D418yescomplemented
504C22×C22⋊C4C2×D4132yescomplemented
505C22×C22⋊C4C24116yes—
506C22×C22⋊C4C2418yes—
507C22×C22⋊C4C2418yes—
508C22×C22⋊C4C2418yes—
509C22×C22⋊C4C24164yes—
510C22×C22⋊C4C24116yes—
511C22×C22⋊C4C2418yes—
512C22×C22⋊C4C2414yes—
513C22×C22⋊C4C2418yes—
514C22×C22⋊C4C2414yes—
515C22×C22⋊C4C2418yes—
516C22×C22⋊C4C2418yes—
517C22×C22⋊C4C24116yes—
518C22×C22⋊C4C24164yes—
519C22×C22⋊C4C24116yes—
520C22×C42—28no—
521C22×C42—216no—
522C22×C42—416no—
523C22×C42C2×D418yescomplemented
524C22×C42C2418yes—
525C22×C42C2412yes—
526C22×C42C2412yes—
527C22×C42C2418yes—
528#394—264no—
529#393—2128no—
530#392—264no—
531#392—2128no—
532#392—2128no—
533#392—2256no—
534#392—2128no—
535#392—464no—
536#392—832no—
537#390—264no—
538#390—264no—
539#390—232no—
540#390—232no—
541#390—432no—
542#386—2128no—
543#386—2128no—
544#386—2128no—
545#386—2256no—
546#386C2×D41128yescomplemented
547#381—264no—
548#381C2×D4132yescomplemented
549#380—216no—
550#380—216no—
551#379—264no—
552#379—264no—
553#379C2×D4132yescomplemented
554C4×C22⋊C4—216no—
555C4×C22⋊C4—216no—
556C4×C22⋊C4—216no—
557C4×C22⋊C4—216no—
558C4×C22⋊C4—416no—
559C2×#95—216no—
560C2×#95—28no—
561C2×#95C2418yes—
562C2×#95C2418yes—
563C2×#95C2418yes—
564C2×#95C24164yes—
565C2×#95C24116yes—
566C2×#95C24116yes—
567C2×#95C24116yes—
568C25—24no—
569C25—24no—
570C25—28no—
571C25—216no—
572C25—216no—
573C25—232no—
574C25—216no—
575C25—28no—
576C25—28no—
577C25—28no—
578C25—216no—
579C25—216no—
580C25—216no—
581C25—232no—
582C25—216no—
583C25—216no—
584C25—216no—
585C25—232no—
586C25—216no—
587C25—216no—
588C25—44no—
589C25—44no—
590C25—48no—
591C25—44no—
592C25—48no—
593C25—416no—
594C25—44no—
595C25—48no—
596C25—432no—
597C25—48no—
598C25—416no—
599C25—416no—
600C25—416no—
601C25—416no—
602C25—464no—
603C25—4128no—
604C25—432no—
605C25—432no—
606C25—432no—
607C25—4128no—
608C25—8128no—
609C25—8128no—
610C25—832no—
611C25—864no—
612C25C22×D4116yes—
613C25C22×D414yes—
614C25C22×D418yes—
615C25C22×D414yes—
616C25C22×D418yes—
617C25C22×D418yes—
618C25H(5,𝔽2)18yes—
619C25C2518yes—
620C25C2518yes—
621C25C2512yes—
622C25C2512yes—
623C25C2511yescharacteristic
624H(5,𝔽2)—42048no—
625C2×#41—2128no—
626C2×#41—2256no—
627C2×#41—4256no—
628C2×#41—4256no—
629C2×#41—464no—
630C2×#41—4256no—
631C2×#41—4128no—
632C2×#41—4128no—
633C2×#41—464no—
634C22×Q8—216no—
635C22×Q8—28no—
636C22×Q8—216no—
637C22×Q8—48no—
638C22×D4—232no—
639C22×D4—232no—
640C22×D4—2128no—
641C22×D4—28no—
642C22×D4—28no—
643C22×D4—216no—
644C22×D4—2128no—
645C22×D4—264no—
646C22×D4—2128no—
647C22×D4—2256no—
648C22×D4—2128no—
649C22×D4—2256no—
650C22×D4—232no—
651C22×D4—232no—
652C22×D4—216no—
653C22×D4—216no—
654C22×D4—216no—
655C22×D4—216no—
656C22×D4—216no—
657C22×D4—216no—
658C22×D4—216no—
659C22×D4—232no—
660C22×D4—232no—
661C22×D4—216no—
662C22×D4—232no—
663C22×D4—264no—
664C22×D4—216no—
665C22×D4—216no—
666C22×D4—232no—
667C22×D4—232no—
668C22×D4—264no—
669C22×D4—232no—
670C22×D4—2128no—
671C22×D4—2128no—
672C22×D4—264no—
673C22×D4—28no—
674C22×D4—28no—
675C22×D4—216no—
676C22×D4—28no—
677C22×D4—28no—
678C22×D4—28no—
679C22×D4—216no—
680C22×D4—216no—
681C22×D4—28no—
682C22×D4—28no—
683C22×D4—28no—
684C22×D4—28no—
685C22×D4—216no—
686C22×D4—216no—
687C22×D4—216no—
688C22×D4—216no—
689C22×D4—2128no—
690C22×D4—28no—
691C22×D4—232no—
692C22×D4—216no—
693C22×D4—464no—
694C22×D4—4128no—
695C22×D4—4128no—
696C22×D4—4128no—
697C22×D4—416no—
698C22×D4—48no—
699C22×D4—48no—
700C22×D4—416no—
701C22×D4—464no—
702C22×D4—432no—
703C22×D4—464no—
704C22×D4—464no—
705C22×D4—432no—
706C22×D4—416no—
707C22×D4—416no—
708C22×D4—464no—
709C22×D4—4256no—
710C22×D4—416no—
711C22×D4—464no—
712C22×D4—416no—
713C22×D4—4256no—
714C22×D4—4256no—
715C22×D4—4256no—
716C22×D4—4128no—
717C22×D4—4128no—
718C22×D4—4128no—
719C22×D4—4128no—
720C22×D4—464no—
721C22×D4—4128no—
722C22×D4—464no—
723C22×D4—41024no—
724C22×D4—464no—
725C22×D4—464no—
726C22×D4—464no—
727C22×D4—4128no—
728C22×D4—4128no—
729C22×D4—464no—
730C22×D4—4256no—
731C22×D4—464no—
732C22×D4—432no—
733C22×D4—464no—
734C22×D4—464no—
735C22×D4—432no—
736C22×D4—832no—
737C22×D4—832no—
738C22×D4—832no—
739C22×D4—864no—
740C22×D4—8256no—
741C22×D4—8128no—
742C22×D4—832no—
743C22×D4—8256no—
744C22×D4—8128no—
745C22×D4#127164yescomplemented
746C22×D4C22×D4116yes—
747C22×D4C22×D4132yes—
748C22×D4C22×D4132yes—
749C22×D4C22×D4116yes—
750C22×D4C22×D4132yes—
751C22×D4C22×D4116yes—
752C22×D4H(5,𝔽2)116yescomplemented
753C23×C4—24no—
754C23×C4—24no—
755C23×C4—28no—
756C23×C4—216no—
757C23×C4—216no—
758C23×C4—216no—
759C23×C4—28no—
760C23×C4—28no—
761C23×C4—28no—
762C23×C4—216no—
763C23×C4—216no—
764C23×C4—216no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—216no—
768C23×C4—28no—
769C23×C4—216no—
770C23×C4—216no—
771C23×C4—216no—
772C23×C4—232no—
773C23×C4—28no—
774C23×C4—28no—
775C23×C4—216no—
776C23×C4—216no—
777C23×C4—232no—
778C23×C4—464no—
779C23×C4—432no—
780C23×C4—432no—
781C23×C4—44no—
782C23×C4—48no—
783C23×C4—416no—
784C23×C4—416no—
785C23×C4—48no—
786C23×C4—416no—
787C23×C4—44no—
788C23×C4—48no—
789C23×C4—44no—
790C23×C4—48no—
791C23×C4—48no—
792C23×C4—832no—
793C23×C4#120164yescomplemented
794C23×C4C22×D4116yes—
795C23×C4C22×D418yes—
796C23×C4C22×D414yes—
797C23×C4C22×D418yes—
798C23×C4C22×D418yes—
799C23×C4C22×D418yes—
800C23×C4C22×D418yes—
801C23×C4C22×D414yes—
802C23×C4C22×D418yes—
803C23×C4C22×D414yes—
804C23×C4C22×D414yes—
805C23×C4C22×D4132yes—
806C23×C4C22×D418yes—
807C23×C4C22×D418yes—
808C23×C4C22×D418yes—
809C23×C4C22×D418yes—
810C23×C4C22×D418yes—
811C23×C4C22×D414yes—
812C23×C4C2518yes—
813C23×C4C2512yes—
814C23×C4C2512yes—
815C23×C4C2518yes—
816C23×C4C25116yes—
817C23×C4C2511yescharacteristic
818C23×C4C2512yes—
819C23×C4C2512yes—
820C23×C4C2511yescharacteristic
821C4⋊Q8—264no—
822#127—264no—
823#127—4256no—
824#127—4256no—
825#124—2128no—
826#123—2256no—
827#123—2256no—
828C22⋊Q8—2256no—
829#121—2128no—
830#121—2128no—
831#121—2128no—
832#121—2128no—
833#121—2256no—
834#121—2128no—
835#121—2128no—
836#121—2128no—
837#121—2128no—
838#121—4128no—
839#121—4128no—
840#120—2256no—
841#120—2256no—
842#120—4512no—
843#120—4512no—
844#120—4256no—
845#120—8256no—
846C4×D4—2128no—
847C4×D4—2128no—
848C4×D4—2128no—
849C4×D4—2128no—
850C2×C4⋊C4—264no—
851C2×C4⋊C4—232no—
852C2×C4⋊C4—264no—
853C2×C4⋊C4—28no—
854C2×C4⋊C4—28no—
855C2×C4⋊C4—28no—
856C2×C4⋊C4—28no—
857C2×C4⋊C4—216no—
858C2×C4⋊C4—28no—
859C2×C4⋊C4—28no—
860C2×C4⋊C4—28no—
861C2×C4⋊C4—216no—
862C2×C4⋊C4—28no—
863C2×C4⋊C4—28no—
864C2×C4⋊C4—28no—
865C2×C4⋊C4—216no—
866C2×C4⋊C4—48no—
867C2×C4⋊C4—432no—
868C2×C4⋊C4C22×D4116yes—
869C2×C4⋊C4C22×D4116yes—
870C2×C4⋊C4C22×D4116yes—
871C2×C22⋊C4—2128no—
872C2×C22⋊C4—232no—
873C2×C22⋊C4—2128no—
874C2×C22⋊C4—28no—
875C2×C22⋊C4—28no—
876C2×C22⋊C4—216no—
877C2×C22⋊C4—216no—
878C2×C22⋊C4—216no—
879C2×C22⋊C4—216no—
880C2×C22⋊C4—216no—
881C2×C22⋊C4—216no—
882C2×C22⋊C4—232no—
883C2×C22⋊C4—2128no—
884C2×C22⋊C4—216no—
885C2×C22⋊C4—216no—
886C2×C22⋊C4—28no—
887C2×C22⋊C4—28no—
888C2×C22⋊C4—216no—
889C2×C22⋊C4—216no—
890C2×C22⋊C4—216no—
891C2×C22⋊C4—216no—
892C2×C22⋊C4—216no—
893C2×C22⋊C4—216no—
894C2×C22⋊C4—216no—
895C2×C22⋊C4—232no—
896C2×C22⋊C4—232no—
897C2×C22⋊C4—2128no—
898C2×C22⋊C4—264no—
899C2×C22⋊C4—2128no—
900C2×C22⋊C4—232no—
901C2×C22⋊C4—232no—
902C2×C22⋊C4—232no—
903C2×C22⋊C4—2128no—
904C2×C22⋊C4—464no—
905C2×C22⋊C4—416no—
906C2×C22⋊C4—416no—
907C2×C22⋊C4—416no—
908C2×C22⋊C4—4256no—
909C2×C22⋊C4—464no—
910C2×C22⋊C4—432no—
911C2×C22⋊C4—464no—
912C2×C22⋊C4—432no—
913C2×C22⋊C4—464no—
914C2×C22⋊C4—464no—
915C2×C22⋊C4—832no—
916C2×C22⋊C4C22×D4132yes—
917C2×C22⋊C4C22×D4116yes—
918C2×C22⋊C4C22×D4116yes—
919C2×C22⋊C4C22×D4132yes—
920C2×C22⋊C4C22×D4132yes—
921C2×C22⋊C4C22×D4132yes—
922C2×C22⋊C4C22×D4164yescomplemented
923C2×C42—232no—
924C2×C42—28no—
925C2×C42—28no—
926C2×C42—216no—
927C2×C42—216no—
928C2×C42—232no—
929C2×C42—416no—
930C2×C42—464no—
931C2×C42C22×D418yes—
932C2×C42C22×D418yes—
933#95—216no—
934#95—216no—
935#95—216no—
936#95—2128no—
937#95—416no—
938#95—416no—
939#95C22×D4164yescomplemented
940C24—24no—
941C24—28no—
942C24—24no—
943C24—28no—
944C24—24no—
945C24—28no—
946C24—24no—
947C24—28no—
948C24—28no—
949C24—28no—
950C24—232no—
951C24—232no—
952C24—264no—
953C24—232no—
954C24—216no—
955C24—28no—
956C24—28no—
957C24—28no—
958C24—216no—
959C24—216no—
960C24—216no—
961C24—232no—
962C24—28no—
963C24—216no—
964C24—216no—
965C24—232no—
966C24—216no—
967C24—216no—
968C24—232no—
969C24—264no—
970C24—48no—
971C24—416no—
972C24—432no—
973C24—48no—
974C24—416no—
975C24—432no—
976C24—48no—
977C24—432no—
978C24—48no—
979C24—432no—
980C24—432no—
981C24—464no—
982C24—464no—
983C24—464no—
984C24—4128no—
985C24—464no—
986C24—4128no—
987C24—464no—
988C24—464no—
989C24—416no—
990C24—416no—
991C24—432no—
992C24—416no—
993C24—464no—
994C24—416no—
995C24—4256no—
996C24—432no—
997C24—416no—
998C24—416no—
999C24—416no—
1000C24—464no—
1001C24—416no—
1002C24—416no—
1003C24—416no—
1004C24—432no—
1005C24—432no—
1006C24—432no—
1007C24—464no—
1008C24—464no—
1009C24—88no—
1010C24—88no—
1011C24—816no—
1012C24—864no—
1013C24—832no—
1014C24—832no—
1015C24—832no—
1016C24—832no—
1017C24—864no—
1018C24—832no—
1019C24—864no—
1020C24—816no—
1021C24—816no—
1022C24—864no—
1023C24—816no—
1024C24—832no—
1025C24—816no—
1026C24—816no—
1027C24—816no—
1028C24—832no—
1029C24—864no—
1030C24—8256no—
1031C24—8256no—
1032C24—81024no—
1033C24—8128no—
1034C24—8128no—
1035C24—1632no—
1036C24C2×#120116yes—
1037C24C2×#127116yes—
1038C24C2×#127116yescomplemented
1039C24#535116yes—
1040C24D42164yes—
1041C24C23×D4116yes—
1042C24C23×D414yes—
1043C24C23×D418yes—
1044C24C23×D414yes—
1045C24C23×D412yes—
1046C24C23×D414yes—
1047C24C23×D414yes—
1048C24C23×D414yes—
1049C24C23×D418yes—
1050C24C23×D414yes—
1051C24C2×H(5,𝔽2)116yes—
1052C24C2×H(5,𝔽2)14yes—
1053C24C2×H(5,𝔽2)18yes—
1054C24C2611yescharacteristic
1055#41—4512no—
1056#41—41024no—
1057C2×Q8—232no—
1058C2×Q8—464no—
1059C2×Q8—416no—
1060C2×Q8—416no—
1061C2×D4—232no—
1062C2×D4—232no—
1063C2×D4—2256no—
1064C2×D4—264no—
1065C2×D4—264no—
1066C2×D4—264no—
1067C2×D4—232no—
1068C2×D4—232no—
1069C2×D4—264no—
1070C2×D4—264no—
1071C2×D4—264no—
1072C2×D4—2128no—
1073C2×D4—2128no—
1074C2×D4—232no—
1075C2×D4—232no—
1076C2×D4—232no—
1077C2×D4—232no—
1078C2×D4—232no—
1079C2×D4—264no—
1080C2×D4—264no—
1081C2×D4—464no—
1082C2×D4—464no—
1083C2×D4—464no—
1084C2×D4—464no—
1085C2×D4—464no—
1086C2×D4—432no—
1087C2×D4—416no—
1088C2×D4—4256no—
1089C2×D4—4512no—
1090C2×D4—416no—
1091C2×D4—432no—
1092C2×D4—4256no—
1093C2×D4—4256no—
1094C2×D4—41024no—
1095C2×D4—464no—
1096C2×D4—432no—
1097C2×D4—4512no—
1098C2×D4—4512no—
1099C2×D4—4256no—
1100C2×D4—432no—
1101C2×D4—432no—
1102C2×D4—432no—
1103C2×D4—432no—
1104C2×D4—432no—
1105C2×D4—4512no—
1106C2×D4—464no—
1107C2×D4—464no—
1108C2×D4—4128no—
1109C2×D4—464no—
1110C2×D4—4256no—
1111C2×D4—464no—
1112C2×D4—416no—
1113C2×D4—432no—
1114C2×D4—416no—
1115C2×D4—416no—
1116C2×D4—432no—
1117C2×D4—416no—
1118C2×D4—432no—
1119C2×D4—432no—
1120C2×D4—8128no—
1121C2×D4—816no—
1122C2×D4—816no—
1123C2×D4—816no—
1124C2×D4—8128no—
1125C2×D4—816no—
1126C2×D4—8128no—
1127C2×D4—832no—
1128C2×D4—832no—
1129C2×D4—8128no—
1130C2×D4—8128no—
1131C2×D4—864no—
1132C2×D4—832no—
1133C2×D4—8128no—
1134C2×D4—81024no—
1135C2×D4—8256no—
1136C2×D4C2×#127164yescomplemented
1137C22×C4—24no—
1138C22×C4—28no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—232no—
1144C22×C4—232no—
1145C22×C4—216no—
1146C22×C4—232no—
1147C22×C4—232no—
1148C22×C4—232no—
1149C22×C4—232no—
1150C22×C4—264no—
1151C22×C4—216no—
1152C22×C4—216no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—28no—
1158C22×C4—232no—
1159C22×C4—216no—
1160C22×C4—216no—
1161C22×C4—28no—
1162C22×C4—232no—
1163C22×C4—232no—
1164C22×C4—264no—
1165C22×C4—264no—
1166C22×C4—28no—
1167C22×C4—28no—
1168C22×C4—216no—
1169C22×C4—232no—
1170C22×C4—216no—
1171C22×C4—216no—
1172C22×C4—28no—
1173C22×C4—216no—
1174C22×C4—216no—
1175C22×C4—4128no—
1176C22×C4—416no—
1177C22×C4—416no—
1178C22×C4—416no—
1179C22×C4—416no—
1180C22×C4—48no—
1181C22×C4—464no—
1182C22×C4—464no—
1183C22×C4—48no—
1184C22×C4—48no—
1185C22×C4—416no—
1186C22×C4—464no—
1187C22×C4—464no—
1188C22×C4—432no—
1189C22×C4—432no—
1190C22×C4—416no—
1191C22×C4—432no—
1192C22×C4—464no—
1193C22×C4—416no—
1194C22×C4—416no—
1195C22×C4—416no—
1196C22×C4—432no—
1197C22×C4—432no—
1198C22×C4—432no—
1199C22×C4—416no—
1200C22×C4—416no—
1201C22×C4—416no—
1202C22×C4—864no—
1203C22×C4—816no—
1204C22×C4—88no—
1205C22×C4—88no—
1206C22×C4—832no—
1207C22×C4C2×#120116yes—
1208C22×C4C2×#120132yes—
1209C22×C4C2×#120132yes—
1210C22×C4C2×#120116yes—
1211C22×C4C2×#127116yescomplemented
1212C22×C4C23×D4132yes—
1213C22×C4C23×D414yes—
1214C22×C4C23×D414yes—
1215C22×C4C23×D4116yes—
1216C22×C4C23×D414yes—
1217C22×C4C23×D414yes—
1218C22×C4C23×D414yes—
1219C22×C4C23×D414yes—
1220C22×C4C23×D412yes—
1221C22×C4C23×D418yes—
1222C22×C4C23×D414yes—
1223C22×C4C23×D414yes—
1224C22×C4C23×D412yes—
1225C22×C4C2×H(5,𝔽2)18yes—
1226C4⋊C4—232no—
1227C4⋊C4—232no—
1228C4⋊C4—232no—
1229C4⋊C4—232no—
1230C4⋊C4—232no—
1231C4⋊C4—416no—
1232C4⋊C4—416no—
1233C22⋊C4—264no—
1234C22⋊C4—264no—
1235C22⋊C4—232no—
1236C22⋊C4—264no—
1237C22⋊C4—264no—
1238C22⋊C4—264no—
1239C22⋊C4—232no—
1240C22⋊C4—264no—
1241C22⋊C4—464no—
1242C22⋊C4—4256no—
1243C22⋊C4—464no—
1244C22⋊C4—432no—
1245C22⋊C4—464no—
1246C22⋊C4—832no—
1247C22⋊C4—8128no—
1248C42—216no—
1249C42—216no—
1250C42—432no—
1251C42—432no—
1252C23—232no—
1253C23—216no—
1254C23—24no—
1255C23—28no—
1256C23—28no—
1257C23—28no—
1258C23—28no—
1259C23—24no—
1260C23—28no—
1261C23—28no—
1262C23—28no—
1263C23—28no—
1264C23—232no—
1265C23—216no—
1266C23—232no—
1267C23—28no—
1268C23—28no—
1269C23—24no—
1270C23—24no—
1271C23—216no—
1272C23—232no—
1273C23—232no—
1274C23—216no—
1275C23—232no—
1276C23—232no—
1277C23—232no—
1278C23—232no—
1279C23—216no—
1280C23—232no—
1281C23—416no—
1282C23—416no—
1283C23—432no—
1284C23—432no—
1285C23—4128no—
1286C23—432no—
1287C23—464no—
1288C23—4128no—
1289C23—4256no—
1290C23—464no—
1291C23—464no—
1292C23—464no—
1293C23—48no—
1294C23—48no—
1295C23—416no—
1296C23—464no—
1297C23—432no—
1298C23—416no—
1299C23—416no—
1300C23—48no—
1301C23—416no—
1302C23—416no—
1303C23—48no—
1304C23—432no—
1305C23—48no—
1306C23—416no—
1307C23—416no—
1308C23—432no—
1309C23—464no—
1310C23—416no—
1311C23—48no—
1312C23—48no—
1313C23—48no—
1314C23—48no—
1315C23—48no—
1316C23—432no—
1317C23—416no—
1318C23—464no—
1319C23—88no—
1320C23—88no—
1321C23—864no—
1322C23—816no—
1323C23—8128no—
1324C23—832no—
1325C23—832no—
1326C23—8256no—
1327C23—8256no—
1328C23—8128no—
1329C23—8128no—
1330C23—832no—
1331C23—864no—
1332C23—8128no—
1333C23—832no—
1334C23—832no—
1335C23—832no—
1336C23—832no—
1337C23—81024no—
1338C23—832no—
1339C23—864no—
1340C23—1664no—
1341C23—1632no—
1342C23—1632no—
1343C23—1632no—
1344C23—16128no—
1345C23—1632no—
1346C23#2433164yescomplemented
1347C23C22×#12018yes—
1348C23C22×#12014yes—
1349C23C22×#12718yes—
1350C23C22×#12718yes—
1351C23C22×#12714yes—
1352C23C2×#53514yes—
1353C23C2×#53518yes—
1354C23C2×D42116yes—
1355C23C2×D42116yes—
1356C23C2×D42116yes—
1357C23C24×D412yes—
1358C23C24×D411yescharacteristic
1359C23C24×D412yes—
1360C23C22×H(5,𝔽2)14yes—
1361C23C22×H(5,𝔽2)12yes—
1362C23H(7,𝔽2)14yes—
1363Q8—464no—
1364D4—2128no—
1365D4—464no—
1366D4—4128no—
1367D4—464no—
1368D4—4128no—
1369D4—4128no—
1370D4—4128no—
1371D4—464no—
1372D4—464no—
1373D4—832no—
1374D4—832no—
1375D4—832no—
1376D4—8512no—
1377D4—8128no—
1378C2×C4—28no—
1379C2×C4—24no—
1380C2×C4—28no—
1381C2×C4—28no—
1382C2×C4—28no—
1383C2×C4—232no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—216no—
1387C2×C4—232no—
1388C2×C4—264no—
1389C2×C4—264no—
1390C2×C4—28no—
1391C2×C4—28no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—216no—
1395C2×C4—232no—
1396C2×C4—232no—
1397C2×C4—432no—
1398C2×C4—416no—
1399C2×C4—4128no—
1400C2×C4—464no—
1401C2×C4—4128no—
1402C2×C4—416no—
1403C2×C4—48no—
1404C2×C4—464no—
1405C2×C4—416no—
1406C2×C4—48no—
1407C2×C4—432no—
1408C2×C4—48no—
1409C2×C4—48no—
1410C2×C4—416no—
1411C2×C4—432no—
1412C2×C4—432no—
1413C2×C4—48no—
1414C2×C4—48no—
1415C2×C4—48no—
1416C2×C4—816no—
1417C2×C4—88no—
1418C2×C4—88no—
1419C2×C4—832no—
1420C2×C4C22×#12014yes—
1421C2×C4C22×#12018yes—
1422C2×C4C22×#12014yes—
1423C2×C4C22×#12718yes—
1424C2×C4#3484116yes—
1425C2×C4#348418yes—
1426C22—24no—
1427C22—28no—
1428C22—232no—
1429C22—232no—
1430C22—232no—
1431C22—28no—
1432C22—216no—
1433C22—24no—
1434C22—28no—
1435C22—28no—
1436C22—216no—
1437C22—28no—
1438C22—216no—
1439C22—464no—
1440C22—44no—
1441C22—432no—
1442C22—48no—
1443C22—44no—
1444C22—416no—
1445C22—416no—
1446C22—464no—
1447C22—464no—
1448C22—416no—
1449C22—416no—
1450C22—416no—
1451C22—416no—
1452C22—832no—
1453C22—8128no—
1454C22—8256no—
1455C22—88no—
1456C22—88no—
1457C22—832no—
1458C22—832no—
1459C22—88no—
1460C22—816no—
1461C22—88no—
1462C22—816no—
1463C22—1664no—
1464C22—1664no—
1465C22C2×#243318yes—
1466C22C2×#2433116yes—
1467C22C23×#12011yescharacteristic
1468C22C23×#12711yescharacteristic
1469C22C22×#53511yescharacteristic
1470C22C22×D4214yes—
1471C22C2×#348414yes—
1472C22C2×#348412yes—
1473C22#6285214yes—
1474C22#6285212yes—
1475C22#6289218yes—
1476C22D4×H(5,𝔽2)18yes—
1477C4—28no—
1478C4—24no—
1479C4—28no—
1480C4—44no—
1481C4—416no—
1482C4—432no—
1483C4—44no—
1484C4—88no—
1485C4#3534618yescomplemented
1486C2—28no—
1487C2—216no—
1488C2—48no—
1489C2—816no—
1490C2—816no—
1491C2C22×#243311yescharacteristic
1492C2C2×#3534611yescharacteristic
1493C2#763060611yescharacteristic
1494C2#763133412yes—
1495C2#764533612yes—
1496C2#767549518yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C26
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#3496C2semidirect
2. C2×#35346C2semidirect
3. C22×#2433C2semidirect
4. C22×#2408C2semidirect
5. #5955303C2semidirect
6. #763817C2semidirect
7. #763814C2semidirect
8. #759733C2semidirect
9. #759292C2semidirect
10. #719142C2semidirect
11. #670313C2semidirect
12. #649038C2semidirect
13. #516425C2semidirect
14. C4×#2308C2semidirect
16. C25×D4C22semidirect
19. C22×#547C22semidirect
20. C22×#546C22semidirect
21. C22×D42C22semidirect
22. C22×#537C22semidirect
24. C22×#534C22semidirect
25. C22×#532C22semidirect
26. C23×#127C22semidirect
28. C23×#121C22semidirect
29. C23×#121C22semidirect
31. C23×#120C22semidirect
34. C2×#2404C22semidirect
35. C2×#2404C22semidirect
37. C2×#2433C22semidirect
38. C2×#2433C22semidirect
39. C2×#2433C22semidirect
40. C2×#2433C22semidirect
41. C2×#2433C22semidirect
43. C2×#2408C22semidirect
44. C2×#2408C22semidirect
45. C2×#2403C22semidirect
46. C2×#2403C22semidirect
47. C22×#394C22semidirect
48. C22×#392C22semidirect
49. C22×#392C22semidirect
51. C2×#2308C22semidirect
52. C22×#390C22semidirect
53. C22×#390C22semidirect
54. C22×#380C22semidirect
55. C22×#379C22semidirect
56. C22×C4×C22⋊C4C22semidirect
57. #16509C22semidirect
58. #16252C22semidirect
59. #15453C22semidirect
60. #15412C22semidirect
61. #15310C22semidirect
62. #15258C22semidirect
63. #15144C22semidirect
64. #15142C22semidirect
65. #15124C22semidirect
66. #14911C22semidirect
67. #14811C22semidirect
68. #14716C22semidirect
69. #14716C22semidirect
70. #14716C22semidirect
71. #14715C22semidirect
72. #14698C22semidirect
73. #14271C22semidirect
74. #14152C22semidirect
75. #14137C22semidirect
76. #14137C22semidirect
77. #14025C22semidirect
78. #13904C22semidirect
79. #13903C22semidirect
80. #13902C22semidirect
81. #13794C22semidirect
82. #13784C22semidirect
83. #13776C22semidirect
84. #13775C22semidirect
85. C4×#381C22semidirect
86. C4×#379C22semidirect
87. C4×#386C22semidirect
109. C24×D4C23semidirect
130. C22×C4⋊Q8C23semidirect
135. C22×#127C23semidirect
136. C22×#124C23semidirect
138. C22×#123C23semidirect
139. C22×C22⋊Q8C23semidirect
146. C22×#121D4semidirect
155. C22×#121C23semidirect
156. C22×#121C23semidirect
157. C22×#121C23semidirect
167. C22×#120C23semidirect
168. C22×#120C23semidirect
170. C22×C4×D4D4semidirect
173. C22×C4×D4C23semidirect
174. C22×C4×D4C23semidirect
178. C23×C4⋊C4C23semidirect
188. C23×C22⋊C4C23semidirect
204. C2×#393C23semidirect
210. C2×#392C23semidirect
211. C2×#392C23semidirect
212. C2×#392C23semidirect
213. C2×#392C23semidirect
215. #2308D4semidirect
222. C2×#390C23semidirect
226. C2×#386C23semidirect
227. C2×#386C23semidirect
242. C2×C4×C22⋊C4C23semidirect
245. #1445C23semidirect
246. #1439C23semidirect
247. #1439C23semidirect
248. #1439C23semidirect
249. #1438C23semidirect
250. #1438C23semidirect
251. #1438C23semidirect
252. #1437C23semidirect
253. #1437C23semidirect
254. #1436C23semidirect
255. C4⋊#95C23semidirect
256. #1434C23semidirect
260. C22⋊#95C23semidirect
261. C4×#95C23semidirect
340. C23×D4C2×D4semidirect
360. C24×C4C2×D4semidirect
431. C2×#121C2×D4semidirect
432. C2×#121C2×D4semidirect
433. C2×#121C2×D4semidirect
434. C2×#121C2×D4semidirect
464. C2×C4×D4C2×D4semidirect
465. C2×C4×D4C2×D4semidirect
473. C22×C4⋊C4C2×D4semidirect
474. C22×C4⋊C4C2×D4semidirect
502. C22×C22⋊C4C2×D4semidirect
503. C22×C22⋊C4C2×D4semidirect
504. C22×C22⋊C4C2×D4semidirect
523. C22×C42C2×D4semidirect
546. #386C2×D4semidirect
548. #381C2×D4semidirect
553. #379C2×D4semidirect
745. C22×D4#127semidirect
752. C22×D4H(5,𝔽2)semidirect
793. C23×C4#120semidirect
922. C2×C22⋊C4C22×D4semidirect
939. #95C22×D4semidirect
1038. C24C2×#127semidirect
1136. C2×D4C2×#127semidirect
1211. C22×C4C2×#127semidirect
1346. C23#2433semidirect
1485. C4#35346semidirect

Maximal subgroups

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

subgroupindex
C22×#34962
C2×#353462
C22×#24332
C22×#24082
#59553032
#7638172
#7638142
#7597332
#7592922
#7191422
#6703132
#6490382
#5164252
C4×#23082