Finite Group Databasebeta

← #72323769

Subgroups — #72323769

Order 2048.

At least 7108 conjugacy classes of subgroups; only the 8344 normal subgroups are shown.

The subgroup lattice has 1143 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72323767C212yesmaximal, complemented
2#72323759C211yesmaximal, characteristic, complemented
3#72323757C212yesmaximal, complemented
4#72323701C211yesmaximal, characteristic, complemented
5#72323699C212yesmaximal, complemented
6#72323698C211yesmaximal, characteristic, complemented
7#72323696C214yesmaximal, complemented
8#72323695C214yesmaximal, complemented
9#72323693C214yesmaximal, complemented
10#72323689C212yesmaximal, complemented
11#72323688C212yesmaximal, complemented
12#72323686C214yesmaximal, complemented
13#72323685C212yesmaximal, complemented
14#72323684C214yesmaximal, complemented
15#72323678C214yesmaximal, complemented
16#72323646C211yesmaximal, characteristic, complemented
17#72323491C218yesmaximal, complemented
18#72298557C214yesmaximal, complemented
19#72298143C214yesmaximal, complemented
20C22×#34364C211yesmaximal, characteristic, complemented
21C22×#15258C211yesmaximal, characteristic
22C2×C22⋊C4×#120C212yesmaximal, complemented
23#72251015C212yesmaximal, complemented
24C2×#516383C211yesmaximal, characteristic, complemented
25C24×#127C2211yescharacteristic
26C24×#120C2211yescharacteristic
27C24×#120C2212yes—
28C25×C22⋊C4C2211yescharacteristic
29C23×#392C2214yes—
30C23×#392C2212yes—
31C22×#2380C2212yescomplemented
32C22×#2380C2212yescomplemented
33C22×#2366C2212yescomplemented
34C22×#2366C2212yescomplemented
35C22×D4×C22⋊C4C2212yes—
36C22×D4×C22⋊C4C2212yes—
37C22×D4×C22⋊C4C2214yes—
38C22×D4×C22⋊C4C2212yescomplemented
39C22×D4×C22⋊C4C2212yescomplemented
40C22×#2328C2214yescomplemented
41C22×#2328C2214yescomplemented
42C22×#2308C2211yescharacteristic
43C22×#2308C2211yescharacteristic
44C22×#2308C2211yescharacteristic
45C22×#2308C2212yescomplemented
46C22×C4×#120C2214yescomplemented
47C22×#2283C2212yescomplemented
48C23×#379C2211yescharacteristic
49C2×#15258C4132yescomplemented
50C2×#15258C2212yes—
51C2×#15258C2212yes—
52C2×#15258C2212yes—
53C2×#15258C2211yescharacteristic
54C2×#15258C2212yes—
55C2×#15258C2211yescharacteristic
56C2×#15258C2214yes—
57C2×#15258C2211yescharacteristic
58C2×#15258C2211yescharacteristic
59C2×#14694C2212yescomplemented
60C2×#14694C2214yescomplemented
61C2×#14694C2212yescomplemented
62C2×#14679C2212yes—
63C2×#14335C2211yescharacteristic
64C2×#14335C2212yescomplemented
65C2×#14255C2212yescomplemented
66C2×#14255C2212yescomplemented
67C2×#14175C2218yescomplemented
68C2×#14171C2218yescomplemented
69C2×#14134C2214yescomplemented
70C2×#14134C2214yescomplemented
71C2×#13995C2218yescomplemented
72C2×#13995C2214yescomplemented
73C2×#13967C2214yescomplemented
74C2×#13967C2218yescomplemented
75C2×#13967C2218yescomplemented
76C2×#13877C2214yes—
77C2×#13877C2212yes—
78C2×#13877C2212yescomplemented
79C2×#13869C2214yes—
80C2×#13867C2214yes—
81C2×#13867C2212yes—
82C2×#13867C2212yes—
83C2×#13867C2214yes—
84C2×#13867C2212yes—
85C2×#13867C2212yes—
86C2×#13867C2214yes—
87C22×#1438C2212yes—
88C22×#1438C2211yescharacteristic
89C2×C22⋊C42C2212yes—
90C2×C22⋊C42C2214yes—
91C2×#13794C2211yescharacteristic
92C2×#13794C2211yescharacteristic
93C22×#1437C2212yes—
94#155943C2218yescomplemented
95#155941C2218yescomplemented
96#155887C2218yescomplemented
97#155875C2218yescomplemented
98#155875C2218yescomplemented
99#155585C2218yescomplemented
100#155525C2214yescomplemented
101#155525C2212yescomplemented
102#155524C2214yescomplemented
103#155523C2212yescomplemented
104#155335C2218yescomplemented
105#155335C2218yescomplemented
106#155161C2214yescomplemented
107#155116C2218yescomplemented
108#155116C2218yescomplemented
109#155066C2218yescomplemented
110#155066C2218yescomplemented
111#155065C2218yescomplemented
112#155065C2218yescomplemented
113#155065C2218yescomplemented
114#155065C2218yescomplemented
115#155065C2218yescomplemented
116#155054C2214yescomplemented
117#155052C2214yescomplemented
118#155052C2214yescomplemented
119#155052C2214yescomplemented
120#154930C2218yescomplemented
121#154922C2218yescomplemented
122#154915C2218yescomplemented
123#154906C2218yescomplemented
124#154763C2212yescomplemented
125#154763C2214yescomplemented
126#154763C2212yescomplemented
127#154763C2212yescomplemented
128#154763C2214yescomplemented
129#154763C2212yescomplemented
130#154671C2214yescomplemented
131#154671C2214yescomplemented
132#154670C2214yescomplemented
133#154670C2212yescomplemented
134#154670C2212yescomplemented
135#154670C2212yescomplemented
136#154670C2212yescomplemented
137#154670C2214yescomplemented
138#154670C2214yescomplemented
139#154670C2214yescomplemented
140#154635C2218yescomplemented
141#154634C2218yescomplemented
142#154634C2218yescomplemented
143#154634C2218yescomplemented
144#154634C2218yescomplemented
145#154634C2218yescomplemented
146#154467C2218yescomplemented
147#154291C2218yescomplemented
148#154253C2218yescomplemented
149#154195C2218yescomplemented
150#154135C2214yescomplemented
151#154130C2214yes—
152#154100C2214yescomplemented
153#154095C2214yes—
154#154095C2214yescomplemented
155#154094C2214yes—
156#154094C2214yescomplemented
157#154082C2212yescomplemented
158#154049C2214yescomplemented
159#154049C2212yescomplemented
160#154003C2218yescomplemented
161#153995C2218yescomplemented
162#153970C2214yescomplemented
163#153970C2214yescomplemented
164#153944C2214yescomplemented
165#153931C2212yes—
166#153913C2214yescomplemented
167#153913C2214yescomplemented
168#153898C2212yescomplemented
169#153868C2214yescomplemented
170#153855C2214yescomplemented
171#153851C2212yes—
172#153851C2212yes—
173#153851C2214yescomplemented
174#153851C2214yescomplemented
175#153851C2212yescomplemented
176#153829C2218yescomplemented
177#153791C2218yescomplemented
178#153752C2214yescomplemented
179#153752C2214yescomplemented
180#153750C2214yescomplemented
181#153749C2214yes—
182#153749C2214yescomplemented
183#153749C2214yescomplemented
184C28C2311yescharacteristic
185C25×D4C2311yescharacteristic
186C25×D4C2312yes—
187C25×D4C2314yes—
188C25×D4C2311yescharacteristic
189C25×D4C2312yes—
190C25×D4C2312yes—
191C26×C4C2312yes—
192C23×#127C2×C4116yescomplemented
193C23×#127C2312yes—
194C23×#127C2311yescharacteristic
195C23×#127C2311yescharacteristic
196C23×#127C2312yes—
197C23×#127C2311yescharacteristic
198C23×#127C2311yescharacteristic
199C23×#120C2×C4132yescomplemented
200C23×#120C2×C4116yescomplemented
201C23×#120C2312yes—
202C23×#120C2314yes—
203C23×#120C2312yes—
204C23×#120C2312yes—
205C23×#120C2311yescharacteristic
206C23×#120C2312yes—
207C23×#120C2311yescharacteristic
208C23×#120C2311yescharacteristic
209C23×#120C2311yescharacteristic
210C23×#120C2312yes—
211C23×#120C2312yes—
212C23×#120C2314yes—
213C23×C4×D4C2314yes—
214C23×C4×D4C2314yes—
215C23×C4×D4C2318yes—
216C23×C4×D4C2314yescomplemented
217C23×C4×D4C2314yescomplemented
218C24×C22⋊C4C2314yes—
219C24×C22⋊C4C2311yescharacteristic
220C24×C22⋊C4C2312yes—
221C24×C22⋊C4C2314yes—
222C24×C22⋊C4C2311yescharacteristic
223C24×C22⋊C4C2311yescharacteristic
224C24×C22⋊C4C2314yes—
225C24×C22⋊C4C2312yes—
226C24×C22⋊C4C2311yescharacteristic
227C24×C22⋊C4C2312yes—
228C24×C22⋊C4C2312yes—
229C24×C22⋊C4C2311yescharacteristic
230C24×C22⋊C4C2311yescharacteristic
231C24×C22⋊C4C2312yes—
232C24×C22⋊C4C2314yes—
233C24×C22⋊C4C2312yes—
234C24×C22⋊C4C2314yes—
235C24×C22⋊C4C2311yescharacteristic
236C24×C42C2311yescharacteristic
237C22×#392C2×C4132yescomplemented
238C22×#392C2×C4164yescomplemented
239C22×#392C2314yes—
240C22×#392C2314yes—
241C22×#392C2312yes—
242C22×#392C2314yes—
243C22×#392C2314yes—
244C22×#392C2312yes—
245C22×#392C2314yes—
246C22×#392C2314yes—
247C22×#392C2314yes—
248C22×#392C2314yes—
249C22×#392C2312yes—
250C22×#392C2314yes—
251C22×#392C2314yes—
252C22×#392C2312yes—
253C2×D4×C22⋊C4D4132yescomplemented
254C2×#2308D4116yescomplemented
255C22×#390C2314yes—
256C22×#390C2314yes—
257C22×#390C2318yes—
258C22×#390C2314yescomplemented
259C22×#390C2314yescomplemented
260C22×#386C2312yes—
261C22×#386C2312yes—
262C22×#386C2312yes—
263C22×#386C2312yes—
264C22×#386C2314yes—
265C22×#386C2314yes—
266C22×#386C2312yes—
267C22×#386C2312yes—
268C22×#386C2312yes—
269C22×#386C2312yes—
270C22×#386C2314yes—
271C22×#386C2314yes—
272C22×#386C2318yes—
273C22×#386C2318yes—
274C22×#386C2312yes—
275C22×#386C2312yes—
276C22×#386C2314yes—
277C22×#386C2312yes—
278C22×#386C2312yes—
279C22×#386C2318yes—
280C22×#386C2314yes—
281C22×#386C2318yes—
282C22×#386C2318yes—
283C22×#386C2318yes—
284C22×#386C2314yes—
285C22×#386C2314yes—
286C22×#386C2314yes—
287C22×#386C2314yes—
288C22×#386C2318yes—
289C22×#386C2318yes—
290C22×#386C2314yes—
291C22×#386C2314yes—
292C22×#386C2314yescomplemented
293C22×#386C2314yescomplemented
294C22×#386C2314yescomplemented
295C22×#386C2314yescomplemented
296C22×#386C2314yescomplemented
297C22×#386C2314yescomplemented
298C22×#386C2314yescomplemented
299C22×#386C2314yescomplemented
300C22×#385C2318yes—
301C22×#385C2314yes—
302C22×#385C2314yescomplemented
303C22×#383C2314yescomplemented
304C22×#382C2314yescomplemented
305C22×#381C2312yes—
306C22×#381C2312yes—
307C22×#381C2312yes—
308C22×#381C2312yes—
309C22×#380C2312yes—
310C22×#380C2314yes—
311C22×#380C2312yes—
312C22×#379C2312yes—
313C22×#379C2312yes—
314C22×#379C2314yes—
315C22×#379C2314yes—
316C22×#379C2312yes—
317C22×#379C2314yes—
318C22×#379C2314yes—
319C22×#379C2312yes—
320C22×#379C2312yes—
321C22×#379C2312yes—
322C22×#379C2312yes—
323C22×#379C2312yes—
324C22×#379C2314yes—
325C22×#379C2312yes—
326C22×#379C2314yes—
327C22×#379C2318yes—
328C22×#379C2314yes—
329C22×C4×C4⋊C4C2314yescomplemented
330C22×C4×C22⋊C4C2312yes—
331C22×C4×C22⋊C4C2318yes—
332C22×C4×C22⋊C4C2312yes—
333C22×C4×C22⋊C4C2314yes—
334C22×C4×C22⋊C4C2314yes—
335C22×#376C2314yescomplemented
336C23×#95C2312yes—
337C23×#95C2314yes—
338#15258C2×C4116yescomplemented
339#15258C2×C4132yescomplemented
340#15258C2×C4116yescomplemented
341#15258C2×C4132yescomplemented
342#15258C2×C4164yescomplemented
343#15258C2×C4132yescomplemented
344#15258C2×C4132yescomplemented
345#15258C2×C4116yescomplemented
346#15258C2×C4116yescomplemented
347C2×#1442C2318yescomplemented
348C2×#1440C2318yes—
349C2×#1440C2318yes—
350C2×#1439C2318yes—
351C2×#1439C2318yes—
352C2×#1439C2318yes—
353C2×#1439C2318yes—
354C2×#1439C2318yes—
355C2×#1439C2318yescomplemented
356C2×#1439C2318yescomplemented
357C2×#1439C2318yescomplemented
358C2×#1438C2×C4116yescomplemented
359C2×#1438C2×C4132yescomplemented
360C2×#1438C2318yes—
361C2×#1438C2318yes—
362C2×#1438C2318yes—
363C2×#1438C2314yes—
364C2×#1438C2318yes—
365C2×#1438C2312yes—
366C2×#1438C2312yes—
367C2×#1438C2314yes—
368C2×#1438C2312yes—
369C2×#1438C2312yes—
370C2×#1438C2314yes—
371C2×#1438C2314yes—
372C2×#1438C2318yes—
373C2×#1438C2314yes—
374C2×#1438C2318yes—
375C2×#1438C2318yes—
376C2×#1438C2314yes—
377C2×#1438C2314yes—
378C2×#1438C2314yes—
379C2×#1438C2318yes—
380C2×#1438C2318yes—
381C2×#1438C2318yes—
382C2×#1438C2312yes—
383C2×#1438C2311yescharacteristic
384C2×#1438C2312yes—
385C2×#1438C2312yes—
386C2×#1438C2312yes—
387C2×#1438C2312yes—
388C2×#1438C2311yescharacteristic
389C2×#1438C2312yes—
390C2×#1438C2314yes—
391C2×#1438C2312yes—
392C2×#1438C2314yes—
393C2×#1438C2314yescomplemented
394C2×#1438C2318yescomplemented
395C2×#1438C2318yescomplemented
396C2×#1438C2318yescomplemented
397C2×#1438C2314yescomplemented
398C2×#1438C2318yescomplemented
399C2×#1438C2318yescomplemented
400C2×#1437C2×C4132yescomplemented
401C2×#1437C2318yes—
402C2×#1437C2318yes—
403C2×#1437C2318yes—
404C2×#1437C2318yes—
405C2×#1437C2318yes—
406C2×#1437C2314yes—
407C2×#1437C2312yes—
408C2×#1437C2312yes—
409C2×#1437C2314yes—
410C2×#1437C2312yes—
411C2×#1437C2312yes—
412C2×#1437C2318yescomplemented
413C2×#1437C2318yescomplemented
414C2×#1437C2318yescomplemented
415C2×#1437C2318yescomplemented
416C2×#1436C2318yescomplemented
417C2×#1436C2318yescomplemented
418C2×#1434C2318yescomplemented
419C2×C22⋊#95C2318yes—
420C2×C22⋊#95C2318yes—
421C2×C22⋊#95C2314yes—
422C2×C22⋊#95C2314yes—
423C2×C22⋊#95C2318yes—
424C2×C22⋊#95C2314yes—
425C2×C22⋊#95C2314yes—
426C2×C22⋊#95C2314yes—
427C2×C22⋊#95C2314yes—
428C2×C22⋊#95C2314yes—
429C2×C22⋊#95C2314yes—
430C2×C22⋊#95C2312yes—
431C2×C22⋊#95C2318yes—
432C2×C22⋊#95C2312yes—
433C2×C22⋊#95C2314yes—
434C2×C22⋊#95C2312yes—
435C2×C22⋊#95C2312yes—
436C2×C22⋊#95C2314yes—
437C2×C22⋊#95C2314yes—
438C2×C22⋊#95C2314yes—
439C2×C22⋊#95C2314yes—
440C2×C22⋊#95C2314yes—
441C2×C22⋊#95C2318yes—
442C2×C22⋊#95C2318yes—
443C2×C22⋊#95C2314yes—
444C2×C22⋊#95C2314yes—
445C2×C22⋊#95C2314yescomplemented
446C2×C22⋊#95C2318yescomplemented
447C2×C22⋊#95C2318yescomplemented
448C2×C22⋊#95C2318yescomplemented
449C2×C22⋊#95C2318yescomplemented
450C2×C22⋊#95C2318yescomplemented
451#7557C2318yescomplemented
452#7557C2318yescomplemented
453#7557C2318yescomplemented
454#7557C2318yescomplemented
455#7557C2318yescomplemented
456#7556C2318yescomplemented
457#7556C2318yescomplemented
458#7556C2318yescomplemented
459#7556C2318yescomplemented
460#7556C2318yescomplemented
461#7556C2318yescomplemented
462#7556C2318yescomplemented
463#7556C2318yescomplemented
464#7556C2318yescomplemented
465#7556C2318yescomplemented
466#7555C2318yes—
467#7555C2318yes—
468#7555C2318yes—
469#7555C2314yes—
470#7555C2314yes—
471#7555C2318yes—
472#7555C2318yes—
473#7555C2318yes—
474#7555C2314yes—
475#7555C2318yes—
476#7555C2314yes—
477#7555C2318yes—
478#7555C2314yes—
479#7555C2314yes—
480#7555C2318yes—
481#7555C2318yescomplemented
482#7555C2318yescomplemented
483#7555C2318yescomplemented
484#7555C2318yescomplemented
485#7555C2318yescomplemented
486#7555C2318yescomplemented
487#7555C2314yescomplemented
488#7555C2314yescomplemented
489#7555C2318yescomplemented
490#7555C2318yescomplemented
491#7555C2318yescomplemented
492#7555C2318yescomplemented
493#7554C2318yescomplemented
494#7554C2318yescomplemented
495#7554C2318yescomplemented
496#7554C2318yescomplemented
497#7554C2318yescomplemented
498#7554C2318yescomplemented
499#7554C2314yescomplemented
500#7554C2314yescomplemented
501C27C22×C418yes—
502C27C2411yescharacteristic
503C27C2412yes—
504C27C2412yes—
505C27C2411yescharacteristic
506C27C2412yes—
507C27C2411yescharacteristic
508C27C2411yescharacteristic
509C24×D4C22×C4132yes—
510C24×D4C22×C418yes—
511C24×D4C22×C4116yes—
512C24×D4C22×C4116yes—
513C24×D4C22×C418yescomplemented
514C24×D4C22×C4116yescomplemented
515C24×D4C2×D418yes—
516C24×D4C2×D4116yes—
517C24×D4#4118yes—
518C24×D4#41116yes—
519C24×D4C2414yes—
520C24×D4C2412yes—
521C24×D4C2412yes—
522C24×D4C2414yes—
523C24×D4C2412yes—
524C24×D4C2412yes—
525C24×D4C2412yes—
526C24×D4C2412yes—
527C24×D4C2414yes—
528C24×D4C2411yescharacteristic
529C24×D4C2412yes—
530C24×D4C2411yescharacteristic
531C24×D4C2412yes—
532C24×D4C2412yes—
533C24×D4C2414yes—
534C24×D4C2412yes—
535C24×D4C2412yes—
536C24×D4C2411yescharacteristic
537C24×D4C2411yescharacteristic
538C24×D4C2411yescharacteristic
539C24×D4C2411yescharacteristic
540C24×D4C2412yes—
541C24×D4C2412yes—
542C25×C4C2411yescharacteristic
543C25×C4C2414yes—
544C25×C4C2412yes—
545C25×C4C2418yes—
546C25×C4C2412yes—
547C25×C4C2412yes—
548C25×C4C2412yes—
549C25×C4C2414yes—
550C25×C4C2412yes—
551C25×C4C2412yes—
552C25×C4C2412yes—
553C25×C4C2414yes—
554C25×C4C2412yes—
555C22×#127C22×C418yes—
556C22×#127C22×C4116yes—
557C22×#127C22×C418yes—
558C22×#127C22×C418yescomplemented
559C22×#127C22×C4116yescomplemented
560C22×#127C22×C418yescomplemented
561C22×#120C22×C4116yes—
562C22×#120C22×C4132yes—
563C22×#120C22×C4116yes—
564C22×#120C22×C4116yes—
565C22×#120C22×C4116yes—
566C22×#120C22×C418yes—
567C22×#120C22×C418yes—
568C22×#120C22×C4132yes—
569C22×#120C22×C4116yes—
570C22×#120C22×C4116yes—
571C22×#120C22×C418yes—
572C22×#120C22×C418yes—
573C22×C4×D4C2×D4132yescomplemented
574C23×C4⋊C4C2414yes—
575C23×C4⋊C4C2414yes—
576C23×C4⋊C4C2418yes—
577C23×C22⋊C4C22×C4116yes—
578C23×C22⋊C4C22×C4132yes—
579C23×C22⋊C4C22×C4116yes—
580C23×C22⋊C4C22×C418yes—
581C23×C22⋊C4C22×C4116yescomplemented
582C23×C22⋊C4C22×C4132yescomplemented
583C23×C22⋊C4C2×D4116yes—
584C23×C22⋊C4C2×D418yes—
585C23×C22⋊C4C2×D418yes—
586C23×C22⋊C4C2×D4116yes—
587C23×C22⋊C4C2412yes—
588C23×C22⋊C4C2414yes—
589C23×C22⋊C4C2412yes—
590C23×C22⋊C4C2414yes—
591C23×C22⋊C4C2412yes—
592C23×C22⋊C4C2412yes—
593C23×C22⋊C4C2412yes—
594C23×C22⋊C4C2412yes—
595C23×C22⋊C4C2412yes—
596C23×C22⋊C4C2418yes—
597C23×C22⋊C4C2418yes—
598C23×C22⋊C4C2418yes—
599C23×C22⋊C4C2418yes—
600C23×C22⋊C4C2414yes—
601C23×C22⋊C4C2412yes—
602C23×C22⋊C4C2414yes—
603C23×C22⋊C4C2412yes—
604C23×C22⋊C4C2412yes—
605C23×C22⋊C4C2412yes—
606C23×C22⋊C4C2412yes—
607C23×C22⋊C4C2414yes—
608C23×C22⋊C4C2414yes—
609C23×C22⋊C4C2412yes—
610C23×C22⋊C4C2412yes—
611C23×C22⋊C4C2414yes—
612C23×C22⋊C4C2414yes—
613C23×C22⋊C4C2412yes—
614C23×C22⋊C4C2414yes—
615C23×C22⋊C4C2414yes—
616C23×C22⋊C4C2412yes—
617C23×C22⋊C4C2414yes—
618C23×C22⋊C4C2418yes—
619C23×C22⋊C4C2418yes—
620C23×C22⋊C4C2418yes—
621C23×C22⋊C4C2414yes—
622C23×C22⋊C4C2418yes—
623C23×C22⋊C4C2418yes—
624C23×C22⋊C4C2414yes—
625C23×C22⋊C4C2411yescharacteristic
626C23×C22⋊C4C2411yescharacteristic
627C23×C22⋊C4C2412yes—
628C23×C22⋊C4C2412yes—
629C23×C22⋊C4C2414yes—
630C23×C22⋊C4C2414yes—
631C23×C22⋊C4C2414yes—
632C23×C22⋊C4C2414yes—
633C23×C22⋊C4C2414yes—
634C23×C22⋊C4C2414yes—
635C23×C22⋊C4C2414yes—
636C23×C22⋊C4C2414yes—
637C23×C22⋊C4C2412yes—
638C23×C22⋊C4C2414yes—
639C23×C22⋊C4C2414yes—
640C23×C22⋊C4C2418yes—
641C23×C22⋊C4C2414yes—
642C23×C22⋊C4C2414yes—
643C23×C22⋊C4C2418yes—
644C23×C22⋊C4C2412yes—
645C23×C22⋊C4C2414yes—
646C23×C22⋊C4C2414yes—
647C23×C22⋊C4C2412yes—
648C23×C42C22×C418yescomplemented
649C23×C42C2412yes—
650C23×C42C2411yescharacteristic
651C23×C42C2411yescharacteristic
652C23×C42C2414yes—
653C23×C42C2414yes—
654C23×C42C2418yes—
655C2×#392C22×C4132yes—
656C2×#392C22×C4132yes—
657C2×#392C22×C4116yes—
658C2×#392C22×C4132yes—
659C2×#392C22×C4132yes—
660C2×#392C22×C4132yes—
661C2×#392C22×C4116yes—
662C2×#392C22×C4132yescomplemented
663C2×#392C22×C4132yescomplemented
664C2×#392C22×C4132yescomplemented
665C2×#392C22×C4116yescomplemented
666C2×#392C22×C4132yescomplemented
667C2×#392C22×C4132yescomplemented
668C2×#392C22×C4116yescomplemented
669C2×#390C2×D4132yescomplemented
670C2×#386C2×D4116yescomplemented
671C2×#386C2×D4116yescomplemented
672C2×#386C2×D4132yescomplemented
673C2×#386C2×D4132yescomplemented
674C2×#386C2×D4116yescomplemented
675C2×#386C2×D4116yescomplemented
676C2×#381C2×D4116yes—
677C2×#380C2×D4116yes—
678C2×#379C2×D4116yes—
679C2×#379C2×D4116yes—
680C2×#379C2×D4116yes—
681C2×C4×C22⋊C4C2×D4116yes—
682C22×#95C22×C4116yescomplemented
683C22×#95C22×C4132yescomplemented
684C22×#95C2418yes—
685C22×#95C2418yes—
686C22×#95C2414yes—
687C22×#95C2414yes—
688C22×#95C2414yes—
689C22×#95C2414yes—
690C22×#95C2418yes—
691C22×#95C2418yes—
692C22×#95C2414yes—
693C22×#95C2414yes—
694C22×#95C2418yes—
695C22×#95C2414yes—
696C22×#95C2414yes—
697C22×#95C2414yes—
698C22×#95C2414yes—
699C22×#95C2414yes—
700C22×#95C2414yes—
701C22×#95C2414yes—
702C22×#95C2414yes—
703C22×#95C2418yes—
704C22×#95C2418yes—
705C22×#95C2418yes—
706C22×#95C2418yes—
707C22×#95C2418yes—
708C22×#95C2418yes—
709C22×#95C2418yes—
710C22×#95C2418yes—
711C22×#95C2418yes—
712C22×#95C2418yes—
713C22×#95C2418yes—
714C22×#95C2418yes—
715C22×#95C2418yes—
716C22×#95C2418yes—
717C22×#95C2418yes—
718C22×#95C2418yes—
719C22×#95C2418yes—
720C22×#95C2418yes—
721C22×#95C2418yes—
722C22×#95C2418yes—
723C22×#95C2418yes—
724C22×#95C2412yes—
725C22×#95C2414yes—
726C22×#95C2414yes—
727C22×#95C2412yes—
728C22×#95C2414yes—
729#1438C22×C418yes—
730#1438C22×C4116yes—
731#1438C22×C4116yes—
732#1438C22×C4116yes—
733#1438C22×C4116yes—
734#1438C22×C418yes—
735#1438C22×C4116yes—
736#1438C22×C4116yescomplemented
737#1438C22×C4116yescomplemented
738#1438C22×C4132yescomplemented
739#1438C22×C4132yescomplemented
740#1437C22×C4116yes—
741#1437C22×C4132yes—
742#1437C22×C4116yes—
743#1437C22×C4116yescomplemented
744#1437C22×C4132yescomplemented
745#1437C22×C4116yescomplemented
746C26C23×C414yes—
747C26C23×C418yes—
748C26C23×C418yes—
749C26C23×C418yes—
750C26C23×C414yes—
751C26C23×C414yes—
752C26C23×C414yes—
753C26C22×D414yes—
754C26C22×D418yes—
755C26C22×D414yes—
756C26C22×D418yes—
757C26C2×#4114yes—
758C26C2×#4118yes—
759C26C2×#4118yes—
760C26C2×#4114yes—
761C26H(5,𝔽2)18yes—
762C26H(5,𝔽2)18yes—
763C26C2511yescharacteristic
764C26C2511yescharacteristic
765C26C2512yes—
766C26C2512yes—
767C26C2512yes—
768C26C2511yescharacteristic
769C26C2511yescharacteristic
770C26C2512yes—
771C26C2511yescharacteristic
772C23×D4C4×D4164yescomplemented
773C23×D4C4×D41128yescomplemented
774C23×D4C23×C4116yes—
775C23×D4C23×C418yes—
776C23×D4C23×C418yes—
777C23×D4C23×C4116yes—
778C23×D4C23×C418yes—
779C23×D4C23×C418yes—
780C23×D4C23×C418yes—
781C23×D4C23×C418yes—
782C23×D4C23×C4116yes—
783C23×D4C23×C414yes—
784C23×D4C23×C418yes—
785C23×D4C23×C414yes—
786C23×D4C23×C418yes—
787C23×D4C23×C418yes—
788C23×D4C23×C4116yes—
789C23×D4C23×C418yes—
790C23×D4C23×C418yes—
791C23×D4C23×C414yes—
792C23×D4C23×C414yes—
793C23×D4C23×C418yes—
794C23×D4C23×C414yes—
795C23×D4C23×C414yes—
796C23×D4C23×C418yes—
797C23×D4C22×D418yes—
798C23×D4C22×D418yes—
799C23×D4C22×D418yes—
800C23×D4C22×D414yes—
801C23×D4C22×D414yes—
802C23×D4C22×D414yes—
803C23×D4C22×D414yes—
804C23×D4C22×D418yes—
805C23×D4C2×#4118yes—
806C23×D4C2×#4118yes—
807C23×D4C2×#4114yes—
808C23×D4C2×#4114yes—
809C23×D4C2×#4114yes—
810C23×D4C2×#4114yes—
811C23×D4C2×#4118yes—
812C23×D4C2×#4118yes—
813C24×C4C23×C414yes—
814C24×C4C23×C4116yes—
815C24×C4C23×C418yes—
816C24×C4C23×C418yes—
817C24×C4C22×D414yes—
818C24×C4C22×D418yes—
819C24×C4C22×D418yes—
820C24×C4C22×D4116yes—
821C24×C4C22×D418yes—
822C24×C4C22×D4116yes—
823C24×C4C2×#4114yes—
824C24×C4C2×#4118yes—
825C24×C4C2514yes—
826C24×C4C2518yes—
827C24×C4C2514yes—
828C24×C4C2512yes—
829C24×C4C2512yes—
830C24×C4C2514yes—
831C24×C4C2514yes—
832C24×C4C2514yes—
833C24×C4C2514yes—
834C24×C4C2511yescharacteristic
835C24×C4C2511yescharacteristic
836C24×C4C2512yes—
837C24×C4C2514yes—
838C24×C4C2514yes—
839C24×C4C2512yes—
840C22×C4⋊C4C22×D4116yes—
841C22×C22⋊C4#120164yes—
842C22×C22⋊C4C23×C4116yes—
843C22×C22⋊C4C23×C418yes—
844C22×C22⋊C4C23×C418yes—
845C22×C22⋊C4C23×C418yes—
846C22×C22⋊C4C23×C418yes—
847C22×C22⋊C4C23×C4116yes—
848C22×C22⋊C4C23×C418yes—
849C22×C22⋊C4C23×C418yes—
850C22×C22⋊C4C23×C4116yes—
851C22×C22⋊C4C23×C4116yes—
852C22×C22⋊C4C23×C4116yes—
853C22×C22⋊C4C23×C4116yes—
854C22×C22⋊C4C23×C4116yes—
855C22×C22⋊C4C23×C4116yes—
856C22×C22⋊C4C23×C418yes—
857C22×C22⋊C4C23×C414yes—
858C22×C22⋊C4C23×C414yes—
859C22×C22⋊C4C23×C418yes—
860C22×C22⋊C4C23×C418yes—
861C22×C22⋊C4C23×C4116yes—
862C22×C22⋊C4C23×C4116yes—
863C22×C22⋊C4C22×D418yes—
864C22×C22⋊C4C22×D418yes—
865C22×C22⋊C4C22×D418yes—
866C22×C22⋊C4C22×D418yes—
867C22×C22⋊C4C22×D418yes—
868C22×C22⋊C4C22×D418yes—
869C22×C22⋊C4C22×D418yes—
870C22×C22⋊C4C22×D4116yes—
871C22×C22⋊C4C22×D4116yes—
872C22×C22⋊C4C22×D4116yes—
873C22×C22⋊C4C22×D4116yes—
874C22×C22⋊C4C22×D4116yes—
875C22×C22⋊C4C22×D4116yes—
876C22×C22⋊C4C22×D4116yes—
877C22×C22⋊C4C22×D418yes—
878C22×C22⋊C4C22×D4116yes—
879C22×C22⋊C4H(5,𝔽2)18yes—
880C22×C22⋊C4H(5,𝔽2)132yes—
881C22×C42C23×C414yes—
882C22×C42C23×C418yes—
883C22×C42C23×C414yes—
884C22×C42C22×D4116yes—
885C2×#95C23×C4116yes—
886C2×#95C23×C4116yes—
887C2×#95C23×C4116yes—
888C2×#95C23×C418yes—
889C2×#95C23×C4116yes—
890C2×#95C23×C4116yes—
891C2×#95C23×C418yes—
892C2×#95C22×D4116yes—
893C2×#95C22×D4116yes—
894C2×#95C22×D4116yes—
895C2×#95C22×D4116yes—
896C25C2×C4×D4116yes—
897C25C2×C4×D4132yes—
898C25C2×C4×D4116yes—
899C25C2×C4×D4132yes—
900C25#518132yes—
901C25C2×#120116yes—
902C25#525116yes—
903C25#525132yes—
904C25C24×C412yes—
905C25C24×C412yes—
906C25C24×C414yes—
907C25C24×C414yes—
908C25C24×C414yes—
909C25C24×C412yes—
910C25C24×C412yes—
911C25C24×C414yes—
912C25C24×C412yes—
913C25C23×D414yes—
914C25C23×D412yes—
915C25C23×D412yes—
916C25C23×D414yes—
917C25C23×D414yes—
918C25C23×D412yes—
919C25C23×D412yes—
920C25C23×D414yes—
921C25C23×D412yes—
922C25C23×D414yes—
923C25C22×#4112yes—
924C25C22×#4112yes—
925C25C22×#4114yes—
926C25C22×#4114yes—
927C25C22×#4112yes—
928C25C22×#4112yes—
929C25C22×#4114yes—
930C25C22×#4114yes—
931C25C22×#4112yes—
932C25C22×#4114yes—
933C25C2×H(5,𝔽2)14yes—
934C25C2×H(5,𝔽2)14yes—
935C25C2×H(5,𝔽2)14yes—
936C25C2×H(5,𝔽2)116yes—
937C25C2×H(5,𝔽2)14yes—
938C25C2×H(5,𝔽2)14yes—
939C25C2×H(5,𝔽2)14yes—
940C25C2×H(5,𝔽2)14yes—
941C25#58514yes—
942C25C2611yescharacteristic
943C22×D4C2×C4×D4132yes—
944C22×D4C2×C4×D4132yes—
945C22×D4C2×C4×D4116yes—
946C22×D4C2×C4×D4116yes—
947C22×D4C2×C4×D4116yes—
948C22×D4C2×C4×D4116yes—
949C22×D4C2×C4×D4132yes—
950C22×D4C2×C4×D4132yes—
951C23×C4C2×C4×D4116yes—
952C23×C4C2×C4×D4132yes—
953C23×C4C2×#120132yes—
954C23×C4C24×C414yes—
955C23×C4C24×C414yes—
956C23×C4C24×C418yes—
957C23×C4C24×C412yes—
958C23×C4C24×C412yes—
959C23×C4C24×C414yes—
960C23×C4C24×C418yes—
961C23×C4C24×C414yes—
962C23×C4C23×D418yes—
963C23×C4C23×D418yes—
964C23×C4C23×D418yes—
965C23×C4C23×D412yes—
966C23×C4C23×D412yes—
967C23×C4C23×D414yes—
968C23×C4C23×D418yes—
969C23×C4C23×D418yes—
970C23×C4C23×D418yes—
971C23×C4C23×D414yes—
972C23×C4C22×#4112yes—
973C23×C4C22×#4112yes—
974C23×C4C22×#4114yes—
975C23×C4C22×#4114yes—
976C23×C4C2×H(5,𝔽2)18yes—
977C23×C4C2×H(5,𝔽2)116yes—
978C23×C4C2×H(5,𝔽2)116yes—
979C2×C22⋊C4#518164yes—
980C2×C22⋊C4C2×#120132yes—
981C2×C22⋊C4C2×#120132yes—
982C24C4×#120164yes—
983C24C22×C4×D414yes—
984C24C22×C4×D414yes—
985C24C22×C4×D418yes—
986C24C22×C4×D418yes—
987C24C22×C4×D414yes—
988C24C22×C4×D414yes—
989C24C22×C4×D418yes—
990C24C22×C4×D418yes—
991C24C22×C4×D414yes—
992C24C22×C4×D418yes—
993C24C2×#51818yes—
994C24C2×#51818yes—
995C24C2×#518116yes—
996C24C2×#51818yes—
997C24C4×H(5,𝔽2)18yes—
998C24C22×#12014yes—
999C24C22×#12014yes—
1000C24C22×#12014yes—
1001C24C2×#52518yes—
1002C24C2×#52518yes—
1003C24C2×#52514yes—
1004C24C2×#52514yes—
1005C24C2×#52518yes—
1006C24C2×#52514yes—
1007C24#3484116yes—
1008C24#348414yes—
1009C24#348414yes—
1010C24#348414yes—
1011C24#348514yes—
1012C24#3488116yes—
1013C24#349018yes—
1014C24#350518yes—
1015C24#3513116yes—
1016C24#3519116yes—
1017C24#3543116yes—
1018C24#3543116yes—
1019C24C25×C411yescharacteristic
1020C24C24×D411yescharacteristic
1021C24C24×D412yes—
1022C24C23×#4111yescharacteristic
1023C24C23×#4112yes—
1024C24C22×H(5,𝔽2)18yes—
1025C24C22×H(5,𝔽2)12yes—
1026C24C22×H(5,𝔽2)12yes—
1027C24C22×H(5,𝔽2)12yes—
1028C24C2×#58512yes—
1029C24H(7,𝔽2)18yes—
1030C22×C4C22×C4×D414yes—
1031C22×C4C22×C4×D414yes—
1032C22×C4C22×C4×D418yes—
1033C22×C4C22×C4×D418yes—
1034C22×C4C2×#518116yes—
1035C22×C4C2×#518116yes—
1036C22×C4C22×#120116yes—
1037C22×C4#3484116yes—
1038C22×C4#3490116yes—
1039C23C2×C4×#12018yes—
1040C23C2×C4×#12018yes—
1041C23C2×C4×#12018yes—
1042C23#3419818yes—
1043C23#3426418yes—
1044C23#34290132yes—
1045C23#34364116yescomplemented
1046C23#3534618yes—
1047C23#35352132yes—
1048C23#3535418yes—
1049C23#3535518yes—
1050C23#3551218yes—
1051C23C23×C4×D411yescharacteristic
1052C23C23×C4×D412yes—
1053C23C22×#51814yes—
1054C23C22×#51812yes—
1055C23C2×C4×H(5,𝔽2)12yes—
1056C23#6265214yes—
1057C23C23×#12011yescharacteristic
1058C23C22×#52512yes—
1059C23C22×#52511yescharacteristic
1060C23C2×#354314yes—
1061C23C2×#354314yes—
1062C23C2×#348414yes—
1063C23C2×#348414yes—
1064C23C2×#348411yescharacteristic
1065C23C2×#348411yescharacteristic
1066C23C2×#348411yescharacteristic
1067C23C2×#349012yes—
1068C23C2×#349014yes—
1069C23C2×#350512yes—
1070C23C2×#351314yes—
1071C23C2×#351914yes—
1072C23C2×#348511yescharacteristic
1073C23C2×#348814yes—
1074C23#6284214yes—
1075C23#6284414yes—
1076C23#6286214yes—
1077C23#6286214yes—
1078C23#6289218yes—
1079C23#6289218yes—
1080C23#6291218yes—
1081C23#6292418yes—
1082C23D4×H(5,𝔽2)18yes—
1083C23D4×H(5,𝔽2)18yes—
1084C23#6298318yes—
1085C23#6298318yes—
1086C23#6301114yes—
1087C23#6301214yes—
1088C23#6304114yes—
1089C23#6304214yes—
1090C2×C4#34198116yes—
1091C22#515667116yes—
1092C22C22×C4×#12011yescharacteristic
1093C22C2×#3419811yescharacteristic
1094C22C2×#3419812yes—
1095C22C2×#3426411yescharacteristic
1096C22C2×#3429014yes—
1097C22#762570412yes—
1098C22D4×#51814yes—
1099C22D4×#51814yes—
1100C22C2×#3436412yes—
1101C22#762635512yes—
1102C22#762656814yes—
1103C22#762679114yes—
1104C22#762721112yes—
1105C22#762740112yes—
1106C22C2×#3534611yescharacteristic
1107C22C2×#3535214yes—
1108C22C2×#3535411yescharacteristic
1109C22C2×#3535511yescharacteristic
1110C22C2×#3551211yescharacteristic
1111C22#763128614yes—
1112C22#763129414yes—
1113C22#763129414yes—
1114C22#763139014yes—
1115C22#776813714yes—
1116C22#776813714yes—
1117C22#776814014yes—
1118C22#776814014yes—
1119C22#781960614yes—
1120C22#781961214yes—
1121C22#781971014yes—
1122C22#781971614yes—
1123C22#790226118yes—
1124C22#790226218yes—
1125C22#790226518yes—
1126C22#790226618yes—
1127C22#796635718yes—
1128C22#796637118yes—
1129C22#796682618yes—
1130C22#796684018yes—
1131C2#7223203612yes—
1132C2#7223243418yes—
1133C2#7223760212yes—
1134C2C2×#51566711yescharacteristic
1135C2#7232327314yes—
1136C2#7232329112yes—
1137C2#7232333612yes—
1138C2#7232338114yes—
1139C2#7232342112yes—
1140C2#7232345412yes—
1141C2#7232347212yes—
subgroupG/H
center, Frattini, socle, cosocleC25C26
commutatorC24C25×C4
prime radicalC22×#15258C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72323767C2semidirect
2. #72323759C2semidirect
3. #72323757C2semidirect
4. #72323701C2semidirect
5. #72323699C2semidirect
6. #72323698C2semidirect
7. #72323696C2semidirect
8. #72323695C2semidirect
9. #72323693C2semidirect
10. #72323689C2semidirect
11. #72323688C2semidirect
12. #72323686C2semidirect
13. #72323685C2semidirect
14. #72323684C2semidirect
15. #72323678C2semidirect
16. #72323646C2semidirect
17. #72323491C2semidirect
18. #72298557C2semidirect
19. #72298143C2semidirect
20. C22×#34364C2semidirect
22. C2×C22⋊C4×#120C2semidirect
23. #72251015C2semidirect
24. C2×#516383C2semidirect
31. C22×#2380C22semidirect
32. C22×#2380C22semidirect
33. C22×#2366C22semidirect
34. C22×#2366C22semidirect
38. C22×D4×C22⋊C4C22semidirect
39. C22×D4×C22⋊C4C22semidirect
40. C22×#2328C22semidirect
41. C22×#2328C22semidirect
45. C22×#2308C22semidirect
46. C22×C4×#120C22semidirect
47. C22×#2283C22semidirect
49. C2×#15258C4semidirect
59. C2×#14694C22semidirect
60. C2×#14694C22semidirect
61. C2×#14694C22semidirect
64. C2×#14335C22semidirect
65. C2×#14255C22semidirect
66. C2×#14255C22semidirect
67. C2×#14175C22semidirect
68. C2×#14171C22semidirect
69. C2×#14134C22semidirect
70. C2×#14134C22semidirect
71. C2×#13995C22semidirect
72. C2×#13995C22semidirect
73. C2×#13967C22semidirect
74. C2×#13967C22semidirect
75. C2×#13967C22semidirect
78. C2×#13877C22semidirect
94. #155943C22semidirect
95. #155941C22semidirect
96. #155887C22semidirect
97. #155875C22semidirect
98. #155875C22semidirect
99. #155585C22semidirect
100. #155525C22semidirect
101. #155525C22semidirect
102. #155524C22semidirect
103. #155523C22semidirect
104. #155335C22semidirect
105. #155335C22semidirect
106. #155161C22semidirect
107. #155116C22semidirect
108. #155116C22semidirect
109. #155066C22semidirect
110. #155066C22semidirect
111. #155065C22semidirect
112. #155065C22semidirect
113. #155065C22semidirect
114. #155065C22semidirect
115. #155065C22semidirect
116. #155054C22semidirect
117. #155052C22semidirect
118. #155052C22semidirect
119. #155052C22semidirect
120. #154930C22semidirect
121. #154922C22semidirect
122. #154915C22semidirect
123. #154906C22semidirect
124. #154763C22semidirect
125. #154763C22semidirect
126. #154763C22semidirect
127. #154763C22semidirect
128. #154763C22semidirect
129. #154763C22semidirect
130. #154671C22semidirect
131. #154671C22semidirect
132. #154670C22semidirect
133. #154670C22semidirect
134. #154670C22semidirect
135. #154670C22semidirect
136. #154670C22semidirect
137. #154670C22semidirect
138. #154670C22semidirect
139. #154670C22semidirect
140. #154635C22semidirect
141. #154634C22semidirect
142. #154634C22semidirect
143. #154634C22semidirect
144. #154634C22semidirect
145. #154634C22semidirect
146. #154467C22semidirect
147. #154291C22semidirect
148. #154253C22semidirect
149. #154195C22semidirect
150. #154135C22semidirect
152. #154100C22semidirect
154. #154095C22semidirect
156. #154094C22semidirect
157. #154082C22semidirect
158. #154049C22semidirect
159. #154049C22semidirect
160. #154003C22semidirect
161. #153995C22semidirect
162. #153970C22semidirect
163. #153970C22semidirect
164. #153944C22semidirect
166. #153913C22semidirect
167. #153913C22semidirect
168. #153898C22semidirect
169. #153868C22semidirect
170. #153855C22semidirect
173. #153851C22semidirect
174. #153851C22semidirect
175. #153851C22semidirect
176. #153829C22semidirect
177. #153791C22semidirect
178. #153752C22semidirect
179. #153752C22semidirect
180. #153750C22semidirect
182. #153749C22semidirect
183. #153749C22semidirect
192. C23×#127C2×C4semidirect
199. C23×#120C2×C4semidirect
200. C23×#120C2×C4semidirect
216. C23×C4×D4C23semidirect
217. C23×C4×D4C23semidirect
237. C22×#392C2×C4semidirect
238. C22×#392C2×C4semidirect
253. C2×D4×C22⋊C4D4semidirect
254. C2×#2308D4semidirect
258. C22×#390C23semidirect
259. C22×#390C23semidirect
292. C22×#386C23semidirect
293. C22×#386C23semidirect
294. C22×#386C23semidirect
295. C22×#386C23semidirect
296. C22×#386C23semidirect
297. C22×#386C23semidirect
298. C22×#386C23semidirect
299. C22×#386C23semidirect
302. C22×#385C23semidirect
303. C22×#383C23semidirect
304. C22×#382C23semidirect
329. C22×C4×C4⋊C4C23semidirect
335. C22×#376C23semidirect
338. #15258C2×C4semidirect
339. #15258C2×C4semidirect
340. #15258C2×C4semidirect
341. #15258C2×C4semidirect
342. #15258C2×C4semidirect
343. #15258C2×C4semidirect
344. #15258C2×C4semidirect
345. #15258C2×C4semidirect
346. #15258C2×C4semidirect
347. C2×#1442C23semidirect
355. C2×#1439C23semidirect
356. C2×#1439C23semidirect
357. C2×#1439C23semidirect
358. C2×#1438C2×C4semidirect
359. C2×#1438C2×C4semidirect
393. C2×#1438C23semidirect
394. C2×#1438C23semidirect
395. C2×#1438C23semidirect
396. C2×#1438C23semidirect
397. C2×#1438C23semidirect
398. C2×#1438C23semidirect
399. C2×#1438C23semidirect
400. C2×#1437C2×C4semidirect
412. C2×#1437C23semidirect
413. C2×#1437C23semidirect
414. C2×#1437C23semidirect
415. C2×#1437C23semidirect
416. C2×#1436C23semidirect
417. C2×#1436C23semidirect
418. C2×#1434C23semidirect
445. C2×C22⋊#95C23semidirect
446. C2×C22⋊#95C23semidirect
447. C2×C22⋊#95C23semidirect
448. C2×C22⋊#95C23semidirect
449. C2×C22⋊#95C23semidirect
450. C2×C22⋊#95C23semidirect
451. #7557C23semidirect
452. #7557C23semidirect
453. #7557C23semidirect
454. #7557C23semidirect
455. #7557C23semidirect
456. #7556C23semidirect
457. #7556C23semidirect
458. #7556C23semidirect
459. #7556C23semidirect
460. #7556C23semidirect
461. #7556C23semidirect
462. #7556C23semidirect
463. #7556C23semidirect
464. #7556C23semidirect
465. #7556C23semidirect
481. #7555C23semidirect
482. #7555C23semidirect
483. #7555C23semidirect
484. #7555C23semidirect
485. #7555C23semidirect
486. #7555C23semidirect
487. #7555C23semidirect
488. #7555C23semidirect
489. #7555C23semidirect
490. #7555C23semidirect
491. #7555C23semidirect
492. #7555C23semidirect
493. #7554C23semidirect
494. #7554C23semidirect
495. #7554C23semidirect
496. #7554C23semidirect
497. #7554C23semidirect
498. #7554C23semidirect
499. #7554C23semidirect
500. #7554C23semidirect
513. C24×D4C22×C4semidirect
514. C24×D4C22×C4semidirect
558. C22×#127C22×C4semidirect
559. C22×#127C22×C4semidirect
560. C22×#127C22×C4semidirect
573. C22×C4×D4C2×D4semidirect
581. C23×C22⋊C4C22×C4semidirect
582. C23×C22⋊C4C22×C4semidirect
648. C23×C42C22×C4semidirect
662. C2×#392C22×C4semidirect
663. C2×#392C22×C4semidirect
664. C2×#392C22×C4semidirect
665. C2×#392C22×C4semidirect
666. C2×#392C22×C4semidirect
667. C2×#392C22×C4semidirect
668. C2×#392C22×C4semidirect
669. C2×#390C2×D4semidirect
670. C2×#386C2×D4semidirect
671. C2×#386C2×D4semidirect
672. C2×#386C2×D4semidirect
673. C2×#386C2×D4semidirect
674. C2×#386C2×D4semidirect
675. C2×#386C2×D4semidirect
682. C22×#95C22×C4semidirect
683. C22×#95C22×C4semidirect
736. #1438C22×C4semidirect
737. #1438C22×C4semidirect
738. #1438C22×C4semidirect
739. #1438C22×C4semidirect
743. #1437C22×C4semidirect
744. #1437C22×C4semidirect
745. #1437C22×C4semidirect
772. C23×D4C4×D4semidirect
773. C23×D4C4×D4semidirect
1045. C23#34364semidirect

Maximal subgroups

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

subgroupindex
#723237672
#723237592
#723237572
#723237012
#723236992
#723236982
#723236962
#723236952
#723236932
#723236892
#723236882
#723236862
#723236852
#723236842
#723236782
#723236462
#723234912
#722985572
#722981432
C22×#343642
C22×#152582
C2×C22⋊C4×#1202
#722510152
C2×#5163832