Finite Group Databasebeta

← C2×#6393514 #72315833

Subgroups — C2×#6393514 #72315833

Order 1024.

34965 conjugacy classes of subgroups.

The subgroup lattice has 1967 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#62773C211yesmaximal, characteristic
2C2×#60230C211yesmaximal, characteristic, complemented
3C22×C42×D4C211yesmaximal, characteristic, complemented
4#6393514C2132yesmaximal, direct product factor
5C2×#22505C218yesmaximal, complemented
6C2×D4×#104C218yesmaximal, complemented
7C2×#21899C212yesmaximal, complemented
8C2×#21773C214yesmaximal, complemented
9C2×#21415C212yesmaximal, complemented
10C22×#1896C214yesmaximal, complemented
11#62773—28no—
12#62773—28no—
13#62773C4116yescomplemented
14#62773C22116yes—
15C2×#3520C414yescomplemented
16C2×#3519C414yescomplemented
17C2×#3513—24no—
18C2×#3506C412yescomplemented
19C2×#3492—21no—
20C2×#3505C414yescomplemented
21C2×#3490—22no—
22C2×#3501C411yescharacteristic, complemented
23C2×#3496C411yescharacteristic, complemented
24C2×#3484—21no—
25C2×#3481—24no—
26C2×#3475C2214yes—
27C2×D4×#41C2214yes—
28C2×#3460—21no—
29C2×#3459—22no—
30C2×#3444C2212yes—
31C22×#525C2214yes—
32C2×C4×H(5,𝔽2)—21no—
33C23×C4×D4—21no—
34C23×C4×D4C2211yescharacteristic
35C24×C42C2212yescomplemented
36#60230—28no—
37#60230C22116yescomplemented
38C2×#2975—21no—
39C2×#2974—24no—
40C2×#2973—22no—
41C2×#2972—21no—
42C2×D4×M16C2218yescomplemented
43C2×#2920C2212yescomplemented
44C23×#104C2218yescomplemented
45C22×#407C2214yescomplemented
46C2×C42×D4—24no—
47C2×C42×D4—28no—
48C2×C42×D4C2218yescomplemented
49C2×C42×D4C22116yescomplemented
50C22×C4×C4⋊C4—21no—
51C22×C4×C4⋊C4C2211yescharacteristic, complemented
52C22×C4×C22⋊C4—22no—
53C22×C4×C22⋊C4C2212yescomplemented
54C22×C43C2211yescharacteristic, complemented
55#22505C221128yescomplemented
56D4×#104C221128yescomplemented
57#21899C22132yescomplemented
58#21773C22164yescomplemented
59#21415C22132yescomplemented
60C2×#1994C2214yescomplemented
61C2×#1986C2214yescomplemented
62C2×#1980C2214yescomplemented
63C2×#1962C2214yescomplemented
64C2×#1896C2214yescomplemented
65C2×#1896C2218yescomplemented
66C2×#1896C22116yescomplemented
67C2×#1896C2214yescomplemented
68C2×#1896C22164yescomplemented
69C2×#1871C22116yescomplemented
70C2×#1826C2218yescomplemented
71C2×#1806C2218yescomplemented
72C2×#1789C2218yescomplemented
73C2×C4×#104C2218yescomplemented
74C22×#339C2218yescomplemented
75C22×H(5,𝔽2)—21no—
76C23×#41C2314yes—
77C24×D4D411yescharacteristic
78C25×C4—22no—
79C25×C4C2312yes—
80C23×M16C2318yes—
81#3520—232no—
82#3520C2×C4164yescomplemented
83#3519—232no—
84#3519C2×C4164yescomplemented
85#3513—264no—
86#3513—264no—
87#3506—216no—
88#3506C2×C4132yescomplemented
89#3505—232no—
90#3505C2×C4164yescomplemented
91#3501—28no—
92#3501C2×C4116yescomplemented
93#3496—28no—
94#3496C2×C4116yescomplemented
95#3492—216no—
96#3492—216no—
97#3490—232no—
98#3490—232no—
99#3484—216no—
100#3484—216no—
101#3481—264no—
102#3481—264no—
103C2×#559—24no—
104#3475—216no—
105#3475—216no—
106#3475C2×C4132yescomplemented
107#3475C23132yes—
108C2×#556C2×C414yescomplemented
109C2×#555C2×C414yescomplemented
110C2×#554—24no—
111C2×#554—24no—
112C2×#554C2×C414yescomplemented
113C2×#553—28no—
114C2×#553—24no—
115C2×#553—24no—
116C2×#553C2×C418yescomplemented
117C2×#552—24no—
118C2×#552C2×C418yescomplemented
119C2×#551—28no—
120C2×#551—28no—
121C2×#551—28no—
122D4×#41—216no—
123D4×#41—216no—
124D4×#41C2×C4132yescomplemented
125D4×#41C23132yes—
126C2×#550C2×C414yescomplemented
127C2×D4×Q8C2×C414yescomplemented
128C2×#548C2×C418yescomplemented
129C2×#547—24no—
130C2×#547C2×C414yescomplemented
131C2×#547C2×C414yescomplemented
132C2×#546—24no—
133C2×#546—24no—
134C2×#546—24no—
135C2×#546—28no—
136C2×#546—28no—
137C2×#546C2×C418yescomplemented
138C2×D42—24no—
139C2×D42—24no—
140C2×D42C2×C414yescomplemented
141#3460—216no—
142#3460—216no—
143#3459—232no—
144#3459—232no—
145C2×#544—21no—
146C2×#543—22no—
147C2×#542—24no—
148C2×#540—24no—
149C2×#539—28no—
150C2×#539—24no—
151C2×#538—28no—
152C2×#538—24no—
153C2×#538—24no—
154C2×#537—21no—
155C2×#535—22no—
156C2×#534—24no—
157C2×#534—22no—
158#3444—28no—
159#3444—28no—
160#3444C2×C4116yescomplemented
161#3444C23116yes—
162C2×#533C2×C412yescomplemented
163C2×#533C2×C412yescomplemented
164C2×#533C2312yes—
165C2×#532—24no—
166C2×#532C2×C412yescomplemented
167C2×#532C2×C412yescomplemented
168C2×#532C2312yes—
169C2×#529—22no—
170C2×#529—22no—
171C2×#529—22no—
172C2×#529—22no—
173C2×#529—28no—
174C2×#529—24no—
175C2×#529C2×C414yescomplemented
176C2×#529C2×C414yescomplemented
177C2×#525—22no—
178C2×#525—22no—
179C2×#525—24no—
180C2×#525—24no—
181C2×#525—216no—
182C2×#525—216no—
183C2×#525—24no—
184C2×#525—24no—
185C2×#525—28no—
186C2×#525C2×C418yescomplemented
187C2×#525C2×C418yescomplemented
188C2×#525C2×C4132yescomplemented
189C2×#525C2314yes—
190C2×#525C23132yes—
191C2×#525C2318yes—
192C22×#123—24no—
193C22×C22⋊Q8C2×C414yescomplemented
194C22×C22⋊Q8C2×C414yescomplemented
195C22×#121C2×C414yescomplemented
196C22×#121C2×C414yescomplemented
197C22×#120—24no—
198C4×H(5,𝔽2)—216no—
199C4×H(5,𝔽2)—216no—
200C2×#520—24no—
201C2×#520—22no—
202C2×#518—21no—
203C2×#518—24no—
204C2×#518—24no—
205C2×C4×#41—22no—
206C2×C4×#41—22no—
207C2×C4×#41—24no—
208C2×C4×#41C2314yes—
209C22×C4×D4—232no—
210C22×C4×D4—28no—
211C22×C4×D4—216no—
212C22×C4×D4—24no—
213C22×C4×D4—24no—
214C22×C4×D4—24no—
215C22×C4×D4C2×C411yescharacteristic
216C22×C4×D4C2×C412yes—
217C22×C4×D4C2×C411yescharacteristic
218C22×C4×D4C2×C414yes—
219C22×C4×D4C2×C418yes—
220C22×C4×D4D418yes—
221C22×C4×D4D411yescharacteristic
222C22×C4×D4D412yes—
223C22×C4×D4D414yes—
224C22×C4×D4D411yescharacteristic
225C22×C4×D4D414yes—
226C22×C4×D4D418yes—
227C22×C4×D4C2318yes—
228C22×C4×D4C2314yes—
229C22×#117C2314yes—
230C23×C4⋊C4—21no—
231C23×C4⋊C4D411yescharacteristic
232C23×C22⋊C4—22no—
233C23×C22⋊C4D412yes—
234C23×C42—21no—
235C23×C42—22no—
236C23×C42—24no—
237C23×C42—28no—
238C23×C42—21no—
239C23×C42—416no—
240C23×C42C2311yescharacteristic
241C23×C42C2318yes—
242C23×C42C2312yes—
243C23×C42C2311yescharacteristic
244C23×C42C2311yescharacteristic
245C23×C42C23116yescomplemented
246#2975—216no—
247#2974—264no—
248#2973—232no—
249#2972—216no—
250D4×M16—232no—
251D4×M16C23164yescomplemented
252C2×#436—28no—
253C2×#435—216no—
254C2×C8×D4—28no—
255#2920—28no—
256#2920C23116yescomplemented
257C2×#432—22no—
258C2×#432—22no—
259C2×#431—22no—
260C2×#431—22no—
261C2×#423C2314yes—
262C22×#104—432no—
263C22×#104C2318yes—
264C22×#104C23116yes—
265C22×#104C2318yes—
266C22×#104C23164yescomplemented
267C2×#407—24no—
268C2×#407—24no—
269C2×#407—216no—
270C2×#407C2318yes—
271C2×#407C2314yes—
272C2×#407C23132yescomplemented
273C22×C22⋊C8—24no—
274C22×C22⋊C8—24no—
275C2×C4×M16C2314yes—
276C42×D4—232no—
277C42×D4—264no—
278C42×D4C23164yescomplemented
279C2×C4×C4⋊C4—22no—
280C2×C4×C4⋊C4—24no—
281C2×C4×C4⋊C4—28no—
282C2×C4×C4⋊C4—216no—
283C2×C4×C4⋊C4C2314yes—
284C2×C4×C4⋊C4C2318yescomplemented
285C2×C4×C22⋊C4—24no—
286C2×C4×C22⋊C4—28no—
287C2×C4×C22⋊C4—216no—
288C2×C4×C22⋊C4—232no—
289C2×C4×C22⋊C4C2318yes—
290C2×C4×C22⋊C4C23116yescomplemented
291C22×#95—21no—
292C22×#95—22no—
293C2×C43—24no—
294C2×C43—22no—
295C2×C43C2314yes—
296C2×C43C2318yescomplemented
297#1994C23132yescomplemented
298#1986C23132yescomplemented
299#1980C23132yescomplemented
300#1962C23132yescomplemented
301#1896C23132yescomplemented
302#1896C23164yescomplemented
303#1896C231128yescomplemented
304#1896C23132yescomplemented
305#1871C231128yescomplemented
306#1826C23164yescomplemented
307#1806C23164yescomplemented
308#1789C23164yescomplemented
309C4×#104C23164yescomplemented
310C2×#339C23116yes—
311C2×#339C2318yes—
312C2×#339C2318yes—
313C2×#339C23164yescomplemented
314C26C2×D412yes—
315C2×H(5,𝔽2)—216no—
316C2×H(5,𝔽2)—416no—
317C22×#41—24no—
318C22×#41—22no—
319C22×#41—22no—
320C22×#41—24no—
321C22×#41—24no—
322C22×#41—28no—
323C22×#41—28no—
324C22×#41—416no—
325C22×#41—416no—
326C22×#41C22×C418yescomplemented
327C22×#41C22×C4116yescomplemented
328C22×#41C2414yes—
329C22×#41C24116yes—
330C23×Q8C22×C414yescomplemented
331C23×D4—216no—
332C23×D4—24no—
333C23×D4—24no—
334C23×D4—24no—
335C23×D4—24no—
336C23×D4C22⋊C412yes—
337C23×D4C22⋊C411yescharacteristic
338C23×D4C22⋊C414yes—
339C23×D4C22⋊C418yes—
340C23×D4C22⋊C411yescharacteristic
341C23×D4C22×C414yescomplemented
342C23×D4C2×D414yes—
343C23×D4C2×D418yes—
344C24×C4—21no—
345C24×C4—232no—
346C24×C4—22no—
347C24×C4—28no—
348C24×C4—216no—
349C24×C4—21no—
350C24×C4—24no—
351C24×C4—48no—
352C24×C4—48no—
353C24×C4—416no—
354C24×C4—416no—
355C24×C4C22×C412yes—
356C24×C4C22×C414yes—
357C24×C4C22×C412yes—
358C24×C4C22×C418yes—
359C24×C4C2×D411yescharacteristic
360C24×C4C2×D412yes—
361C24×C4C2×D414yes—
362C24×C4C2×D418yes—
363C24×C4C2×D411yescharacteristic
364C24×C4C2×D412yes—
365C24×C4C2×D414yes—
366C24×C4C2×D412yes—
367C24×C4C2×D418yes—
368C24×C4C2411yescharacteristic
369C24×C4C2414yes—
370C24×C4C2418yes—
371C22×M16—28no—
372C22×M16—216no—
373C22×M16—416no—
374C22×M16—416no—
375C22×M16C2418yes—
376C22×M16C24132yes—
377C23×C8—28no—
378#559—264no—
379#556—216no—
380#556C22×C4132yescomplemented
381#555—216no—
382#555C22×C4132yescomplemented
383#554—264no—
384#554—216no—
385#554—264no—
386#554C22×C4132yescomplemented
387#553—2128no—
388#553—264no—
389#553—232no—
390#553—264no—
391#553C22×C4164yescomplemented
392#552—232no—
393#552—232no—
394#552—232no—
395#552C22×C4164yescomplemented
396#551—2128no—
397#551—264no—
398#551—2128no—
399#551—264no—
400#550—216no—
401#550C22×C4132yescomplemented
402D4×Q8—216no—
403D4×Q8C22×C4132yescomplemented
404#548—232no—
405#548C22×C4164yescomplemented
406#547—216no—
407#547—216no—
408#547—232no—
409#547—232no—
410#547C22×C4132yescomplemented
411#547C22×C4132yescomplemented
412#546—232no—
413#546—264no—
414#546—232no—
415#546—264no—
416#546—232no—
417#546—264no—
418#546—2128no—
419#546—264no—
420#546C22×C4164yescomplemented
421D42—232no—
422D42—264no—
423D42—232no—
424D42—216no—
425D42C22×C4132yescomplemented
426#544—216no—
427#543—232no—
428#542—264no—
429#540—264no—
430#539—2128no—
431#539—264no—
432#538—2128no—
433#538—264no—
434#538—264no—
435#537—216no—
436#535—232no—
437#534—264no—
438#534—232no—
439#533—28no—
440#533—28no—
441#533—24no—
442#533—24no—
443#533C22×C4116yescomplemented
444#533C22×C4116yescomplemented
445#533C22×C418yescomplemented
446#533C2418yes—
447#532—232no—
448#532—232no—
449#532—28no—
450#532—28no—
451#532—24no—
452#532—24no—
453#532C22×C418yescomplemented
454#532C22×C4116yescomplemented
455#532C22×C4116yescomplemented
456#532C2418yes—
457C2×C4⋊Q8—24no—
458C2×C4⋊Q8C22×C412yescomplemented
459C2×C4⋊Q8C22×C412yescomplemented
460C2×C4⋊Q8C22×C412yescomplemented
461C2×#127—24no—
462C2×#127C22×C412yescomplemented
463#529—264no—
464#529—232no—
465#529—264no—
466#529—232no—
467#529—216no—
468#529—216no—
469#529—216no—
470#529—216no—
471#529—216no—
472#529—216no—
473#529—216no—
474#529—216no—
475#529—216no—
476#529—216no—
477#529C22×C4132yescomplemented
478#529C22×C4132yescomplemented
479C2×#126—28no—
480C2×#126—28no—
481C2×#126—28no—
482C2×#126—24no—
483C2×#126—24no—
484C2×#125—28no—
485C2×#125—24no—
486C2×#125—22no—
487C2×#125—22no—
488C2×#125C22×C414yescomplemented
489C2×#124—24no—
490C2×#124—28no—
491C2×#124—28no—
492C2×#124—22no—
493C2×#124—22no—
494C2×#124C22×C414yescomplemented
495#525—232no—
496#525—232no—
497#525—232no—
498#525—232no—
499#525—232no—
500#525—232no—
501#525—216no—
502#525—216no—
503#525—28no—
504#525—28no—
505#525—232no—
506#525—216no—
507#525—216no—
508#525—232no—
509#525—232no—
510#525—232no—
511#525—216no—
512#525—216no—
513#525—264no—
514#525—264no—
515#525C22×C4116yes—
516#525C22×C4132yescomplemented
517#525C22×C4164yescomplemented
518#525C22×C4164yescomplemented
519#525C24116yes—
520#525C24132yes—
521C2×#123—28no—
522C2×#123—28no—
523C2×#123—28no—
524C2×#123—232no—
525C2×#123—24no—
526C2×#123—24no—
527C2×#123—24no—
528C2×#123—28no—
529C2×#123—232no—
530C2×#123—28no—
531C2×#123—28no—
532C2×#123—28no—
533C2×#123—28no—
534C2×C22⋊Q8—24no—
535C2×C22⋊Q8—24no—
536C2×C22⋊Q8—24no—
537C2×C22⋊Q8—24no—
538C2×C22⋊Q8—216no—
539C2×C22⋊Q8—216no—
540C2×C22⋊Q8—22no—
541C2×C22⋊Q8—22no—
542C2×C22⋊Q8—22no—
543C2×C22⋊Q8—22no—
544C2×C22⋊Q8—28no—
545C2×C22⋊Q8—24no—
546C2×C22⋊Q8—28no—
547C2×C22⋊Q8—28no—
548C2×C22⋊Q8C22×C414yes—
549C2×C22⋊Q8C22×C414yes—
550C2×C22⋊Q8C22×C418yescomplemented
551C2×C22⋊Q8C22×C418yescomplemented
552C2×C22⋊Q8C22×C4132yescomplemented
553C2×C22⋊Q8C22×C4132yescomplemented
554C2×#121—28no—
555C2×#121—28no—
556C2×#121—24no—
557C2×#121—24no—
558C2×#121—24no—
559C2×#121—24no—
560C2×#121—24no—
561C2×#121—24no—
562C2×#121—216no—
563C2×#121—216no—
564C2×#121—22no—
565C2×#121—22no—
566C2×#121—22no—
567C2×#121—22no—
568C2×#121—24no—
569C2×#121—28no—
570C2×#121—28no—
571C2×#121C22×C414yes—
572C2×#121C22×C414yes—
573C2×#121C22×C418yescomplemented
574C2×#121C22×C418yescomplemented
575C2×#121C22×C4132yescomplemented
576C2×#121C22×C4132yescomplemented
577C2×#120—28no—
578C2×#120—28no—
579C2×#120—232no—
580C2×#120—24no—
581C2×#120—28no—
582C2×#120—232no—
583C2×#120—28no—
584C2×#120—28no—
585#520—264no—
586#520—232no—
587#518—216no—
588#518—264no—
589#518—264no—
590C4×#41—232no—
591C4×#41—232no—
592C4×#41—216no—
593C4×#41—216no—
594C4×#41—216no—
595C4×#41—216no—
596C4×#41—28no—
597C4×#41—28no—
598C4×#41C22×C4116yescomplemented
599C4×#41C24116yes—
600C2×C4×Q8—24no—
601C2×C4×Q8—22no—
602C2×C4×Q8—22no—
603C2×C4×Q8—22no—
604C2×C4×Q8—22no—
605C2×C4×Q8C22×C414yescomplemented
606C2×C4×Q8C22×C414yescomplemented
607C2×C4×D4—2128no—
608C2×C4×D4—2256no—
609C2×C4×D4—24no—
610C2×C4×D4—24no—
611C2×C4×D4—264no—
612C2×C4×D4—28no—
613C2×C4×D4—28no—
614C2×C4×D4—232no—
615C2×C4×D4—28no—
616C2×C4×D4—28no—
617C2×C4×D4—232no—
618C2×C4×D4—24no—
619C2×C4×D4—24no—
620C2×C4×D4—24no—
621C2×C4×D4—24no—
622C2×C4×D4—28no—
623C2×C4×D4—232no—
624C2×C4×D4—28no—
625C2×C4×D4—232no—
626C2×C4×D4—24no—
627C2×C4×D4—24no—
628C2×C4×D4—232no—
629C2×C4×D4—232no—
630C2×C4×D4—24no—
631C2×C4×D4—28no—
632C2×C4×D4—28no—
633C2×C4×D4—22no—
634C2×C4×D4—22no—
635C2×C4×D4—22no—
636C2×C4×D4—22no—
637C2×C4×D4C22⋊C414yes—
638C2×C4×D4C22⋊C418yes—
639C2×C4×D4C22⋊C418yes—
640C2×C4×D4C22⋊C414yes—
641C2×C4×D4C22⋊C4116yes—
642C2×C4×D4C22⋊C418yes—
643C2×C4×D4C22⋊C414yes—
644C2×C4×D4C22⋊C418yes—
645C2×C4×D4C22⋊C414yes—
646C2×C4×D4C22⋊C4132yes—
647C2×C4×D4C22⋊C418yes—
648C2×C4×D4C22⋊C4116yes—
649C2×C4×D4C22⋊C418yes—
650C2×C4×D4C22⋊C4132yes—
651C2×C4×D4C22⋊C4132yes—
652C2×C4×D4C22×C414yes—
653C2×C4×D4C22×C418yes—
654C2×C4×D4C22×C414yes—
655C2×C4×D4C22×C4116yes—
656C2×C4×D4C22×C418yes—
657C2×C4×D4C22×C4116yes—
658C2×C4×D4C22×C418yes—
659C2×C4×D4C22×C4132yes—
660C2×C4×D4C22×C414yescomplemented
661C2×C4×D4C22×C414yescomplemented
662C2×C4×D4C2×D414yes—
663C2×C4×D4C2×D418yes—
664C2×C4×D4C2×D418yes—
665C2×C4×D4C2×D414yes—
666C2×C4×D4C2×D4116yes—
667C2×C4×D4C2×D4116yes—
668C2×C4×D4C2×D418yes—
669C2×C4×D4C2×D4132yes—
670C2×C4×D4C2×D4116yes—
671C2×C4×D4C2×D4132yes—
672C2×C4×D4C24116yes—
673C2×#117—22no—
674C2×#117—22no—
675C2×#117—24no—
676C2×#117—24no—
677C2×#117—28no—
678C2×#117—28no—
679C2×#117—24no—
680C2×#117—28no—
681C2×#117—24no—
682C2×#117—24no—
683C2×#117—24no—
684C2×#117C22×C418yescomplemented
685C2×#117C22×C4116yescomplemented
686C2×#117C2414yes—
687C2×#117C24116yes—
688C22×C4⋊C4—216no—
689C22×C4⋊C4—24no—
690C22×C4⋊C4—24no—
691C22×C4⋊C4—24no—
692C22×C4⋊C4—28no—
693C22×C4⋊C4—24no—
694C22×C4⋊C4C22⋊C411yescharacteristic
695C22×C4⋊C4C22⋊C411yescharacteristic
696C22×C4⋊C4C22⋊C412yes—
697C22×C4⋊C4C22⋊C414yes—
698C22×C4⋊C4C22⋊C418yes—
699C22×C4⋊C4C22×C414yescomplemented
700C22×C4⋊C4C22×C414yescomplemented
701C22×C4⋊C4C2×D414yes—
702C22×C4⋊C4C2×D418yes—
703C22×C22⋊C4—232no—
704C22×C22⋊C4—24no—
705C22×C22⋊C4—24no—
706C22×C22⋊C4—28no—
707C22×C22⋊C4—216no—
708C22×C22⋊C4—24no—
709C22×C22⋊C4—24no—
710C22×C22⋊C4—24no—
711C22×C22⋊C4—28no—
712C22×C22⋊C4C22⋊C412yes—
713C22×C22⋊C4C22⋊C412yes—
714C22×C22⋊C4C22⋊C412yes—
715C22×C22⋊C4C22⋊C412yes—
716C22×C22⋊C4C22⋊C418yes—
717C22×C22⋊C4C22⋊C4116yes—
718C22×C22⋊C4C2×D418yes—
719C22×C22⋊C4C2×D4116yes—
720C22×C42—216no—
721C22×C42—21no—
722C22×C42—22no—
723C22×C42—24no—
724C22×C42—28no—
725C22×C42—24no—
726C22×C42—24no—
727C22×C42—28no—
728C22×C42—232no—
729C22×C42—28no—
730C22×C42—22no—
731C22×C42—24no—
732C22×C42—216no—
733C22×C42—216no—
734C22×C42—232no—
735C22×C42—24no—
736C22×C42—28no—
737C22×C42—21no—
738C22×C42—22no—
739C22×C42—464no—
740C22×C42—416no—
741C22×C42—48no—
742C22×C42—44no—
743C22×C42—464no—
744C22×C42—432no—
745C22×C42—48no—
746C22×C42—416no—
747C22×C42C22×C411yescharacteristic
748C22×C42C22×C412yes—
749C22×C42C22×C411yescharacteristic
750C22×C42C22×C414yes—
751C22×C42C2×D412yes—
752C22×C42C2×D414yes—
753C22×C42C2×D411yescharacteristic
754C22×C42C2×D412yes—
755C22×C42C2×D411yescharacteristic
756C22×C42C2×D414yes—
757C22×C42C2414yes—
758C22×C42C2412yes—
759C22×C42C2414yes—
760C22×C42C24132yes—
761C22×C42C2412yes—
762C22×C42C2418yes—
763C22×C42C2414yes—
764C22×C42C2412yes—
765C22×C42C2414yes—
766#436—264no—
767#435—2128no—
768C8×D4—264no—
769#432—216no—
770#432—216no—
771#431—216no—
772#431—216no—
773#423—28no—
774#423C24116yes—
775C2×C4⋊C8—24no—
776C2×C4⋊C8—24no—
777C2×#104—232no—
778C2×#104—4128no—
779C2×#104—432no—
780C2×#104—416no—
781C2×#104C24132yes—
782C2×#104C24164yes—
783C2×#104C24132yes—
784#407—28no—
785#407—216no—
786#407—232no—
787#407—232no—
788#407C24132yes—
789#407C24116yes—
790C2×C22⋊C8—24no—
791C2×C22⋊C8—24no—
792C2×C22⋊C8—28no—
793C2×C22⋊C8—28no—
794C2×C22⋊C8—232no—
795C2×C22⋊C8—232no—
796C4×M16—28no—
797C4×M16C24116yes—
798C2×#97—24no—
799C2×C4×C8—24no—
800C4×C4⋊C4—264no—
801C4×C4⋊C4—28no—
802C4×C4⋊C4—216no—
803C4×C4⋊C4C24116yes—
804C4×C22⋊C4—216no—
805C4×C22⋊C4—232no—
806C4×C22⋊C4—2128no—
807C4×C22⋊C4C24132yes—
808C2×#95—24no—
809C2×#95—28no—
810C2×#95—28no—
811C2×#95—216no—
812C43—28no—
813C43—216no—
814C43C24116yes—
815#339C24164yes—
816#339C24132yes—
817#339C24132yes—
818C25—216no—
819C25—24no—
820C25—44no—
821C25—48no—
822C25—44no—
823C25C2×C22⋊C414yes—
824C25C2×C22⋊C412yes—
825C25C2×C22⋊C418yes—
826C25C2×C22⋊C412yes—
827C25C22×D411yescharacteristic
828C25C22×D414yes—
829C25C22×D418yes—
830H(5,𝔽2)—4128no—
831C2×#41—232no—
832C2×#41—216no—
833C2×#41—216no—
834C2×#41—216no—
835C2×#41—216no—
836C2×#41—216no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—216no—
840C2×#41—216no—
841C2×#41—216no—
842C2×#41—216no—
843C2×#41—432no—
844C2×#41—464no—
845C2×#41—432no—
846C2×#41—432no—
847C2×#41—432no—
848C2×#41—416no—
849C2×#41—816no—
850C2×#41—88no—
851C2×#41—88no—
852C2×#41—88no—
853C2×#41—816no—
854C2×#41—816no—
855C2×#41—832no—
856C2×#41C23×C418yes—
857C2×#41C23×C4132yescomplemented
858C2×#41C2518yes—
859C22×Q8—22no—
860C22×Q8—22no—
861C22×Q8—24no—
862C22×Q8—28no—
863C22×Q8—416no—
864C22×Q8C23×C414yes—
865C22×Q8C23×C4116yescomplemented
866C22×D4—216no—
867C22×D4—232no—
868C22×D4—264no—
869C22×D4—232no—
870C22×D4—264no—
871C22×D4—24no—
872C22×D4—24no—
873C22×D4—28no—
874C22×D4—232no—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—232no—
878C22×D4—28no—
879C22×D4—216no—
880C22×D4—216no—
881C22×D4—232no—
882C22×D4—22no—
883C22×D4—22no—
884C22×D4—24no—
885C22×D4—28no—
886C22×D4—28no—
887C22×D4—416no—
888C22×D4—432no—
889C22×D4—432no—
890C22×D4—816no—
891C22×D4—88no—
892C22×D4—88no—
893C22×D4#104116yescomplemented
894C22×D4C2×C22⋊C418yes—
895C22×D4C2×C22⋊C414yes—
896C22×D4C2×C22⋊C4116yes—
897C22×D4C2×C22⋊C418yes—
898C22×D4C2×C22⋊C4132yes—
899C22×D4C2×C22⋊C4116yes—
900C22×D4C2×C22⋊C414yes—
901C22×D4C2×C22⋊C418yes—
902C22×D4C23×C414yes—
903C22×D4C23×C4116yescomplemented
904C22×D4C22×D4116yes—
905C23×C4—28no—
906C23×C4—28no—
907C23×C4—28no—
908C23×C4—24no—
909C23×C4—22no—
910C23×C4—216no—
911C23×C4—24no—
912C23×C4—216no—
913C23×C4—24no—
914C23×C4—28no—
915C23×C4—28no—
916C23×C4—216no—
917C23×C4—264no—
918C23×C4—2128no—
919C23×C4—24no—
920C23×C4—24no—
921C23×C4—22no—
922C23×C4—28no—
923C23×C4—24no—
924C23×C4—232no—
925C23×C4—24no—
926C23×C4—24no—
927C23×C4—24no—
928C23×C4—24no—
929C23×C4—24no—
930C23×C4—28no—
931C23×C4—216no—
932C23×C4—216no—
933C23×C4—48no—
934C23×C4—416no—
935C23×C4—48no—
936C23×C4—432no—
937C23×C4—416no—
938C23×C4—48no—
939C23×C4—416no—
940C23×C4—48no—
941C23×C4—432no—
942C23×C4—416no—
943C23×C4—416no—
944C23×C4—416no—
945C23×C4—48no—
946C23×C4—44no—
947C23×C4—48no—
948C23×C4—44no—
949C23×C4—44no—
950C23×C4—432no—
951C23×C4—432no—
952C23×C4—464no—
953C23×C4—4256no—
954C23×C4—464no—
955C23×C4—48no—
956C23×C4—48no—
957C23×C4—44no—
958C23×C4—44no—
959C23×C4—816no—
960C23×C4C2×C22⋊C412yes—
961C23×C4C2×C22⋊C412yes—
962C23×C4C2×C22⋊C411yescharacteristic
963C23×C4C2×C22⋊C414yes—
964C23×C4C2×C22⋊C414yes—
965C23×C4C2×C22⋊C414yes—
966C23×C4C2×C22⋊C411yescharacteristic
967C23×C4C2×C22⋊C411yescharacteristic
968C23×C4C2×C22⋊C414yes—
969C23×C4C2×C22⋊C412yes—
970C23×C4C2×C22⋊C414yes—
971C23×C4C2×C22⋊C412yes—
972C23×C4C2×C22⋊C418yes—
973C23×C4C2×C22⋊C418yes—
974C23×C4C2×C22⋊C414yes—
975C23×C4C2×C22⋊C4116yes—
976C23×C4C2×C22⋊C418yes—
977C23×C4C2×C22⋊C414yes—
978C23×C4C2×C22⋊C4116yes—
979C23×C4C2×C22⋊C4116yes—
980C23×C4C2×C22⋊C418yes—
981C23×C4C2×C22⋊C418yes—
982C23×C4C2×C22⋊C411yescharacteristic
983C23×C4C23×C414yes—
984C23×C4C23×C414yes—
985C23×C4C23×C418yes—
986C23×C4C23×C411yescharacteristic
987C23×C4C23×C411yescharacteristic
988C23×C4C23×C412yes—
989C23×C4C23×C418yes—
990C23×C4C23×C4116yes—
991C23×C4C23×C418yes—
992C23×C4C22×D414yes—
993C23×C4C22×D412yes—
994C23×C4C22×D414yes—
995C23×C4C22×D418yes—
996C23×C4C22×D411yescharacteristic
997C23×C4C22×D412yes—
998C23×C4C22×D418yes—
999C23×C4C22×D412yes—
1000C23×C4C22×D414yes—
1001C23×C4C22×D411yescharacteristic
1002C23×C4C22×D411yescharacteristic
1003C23×C4C22×D414yes—
1004C23×C4C22×D412yes—
1005C23×C4C22×D414yes—
1006C23×C4C22×D418yes—
1007C23×C4C22×D4116yes—
1008C23×C4C22×D418yes—
1009C23×C4C22×D4116yes—
1010C23×C4C22×D418yes—
1011C23×C4C2518yes—
1012C23×C4C2512yes—
1013C23×C4C2511yescharacteristic
1014C2×M16—28no—
1015C2×M16—232no—
1016C2×M16—216no—
1017C2×M16—216no—
1018C2×M16—432no—
1019C2×M16—432no—
1020C2×M16—816no—
1021C2×M16—832no—
1022C2×M16C25116yes—
1023C22×C8—28no—
1024C22×C8—232no—
1025C22×C8—816no—
1026C4⋊Q8—232no—
1027C4⋊Q8—24no—
1028C4⋊Q8—24no—
1029C4⋊Q8—24no—
1030C4⋊Q8C23×C418yescomplemented
1031C4⋊Q8C23×C418yescomplemented
1032C4⋊Q8C23×C418yescomplemented
1033#127—232no—
1034#127—24no—
1035#127C23×C418yescomplemented
1036#126—264no—
1037#126—264no—
1038#126—264no—
1039#126—232no—
1040#126—232no—
1041#125—264no—
1042#125—232no—
1043#125—216no—
1044#125—216no—
1045#125—28no—
1046#125C23×C4116yescomplemented
1047#124—232no—
1048#124—264no—
1049#124—264no—
1050#124—216no—
1051#124—216no—
1052#124—28no—
1053#124C23×C4116yescomplemented
1054#123—264no—
1055#123—216no—
1056#123—264no—
1057#123—232no—
1058#123—264no—
1059#123—232no—
1060#123—232no—
1061#123—216no—
1062#123—232no—
1063#123—264no—
1064#123—264no—
1065#123—264no—
1066#123—264no—
1067C22⋊Q8—28no—
1068C22⋊Q8—28no—
1069C22⋊Q8—232no—
1070C22⋊Q8—232no—
1071C22⋊Q8—216no—
1072C22⋊Q8—216no—
1073C22⋊Q8—232no—
1074C22⋊Q8—232no—
1075C22⋊Q8—216no—
1076C22⋊Q8—28no—
1077C22⋊Q8—216no—
1078C22⋊Q8—28no—
1079C22⋊Q8—28no—
1080C22⋊Q8—28no—
1081C22⋊Q8—264no—
1082C22⋊Q8—232no—
1083C22⋊Q8—264no—
1084C22⋊Q8—264no—
1085C22⋊Q8C23×C4116yes—
1086C22⋊Q8C23×C4116yes—
1087C22⋊Q8C23×C4132yescomplemented
1088C22⋊Q8C23×C4132yescomplemented
1089#121—264no—
1090#121—264no—
1091#121—232no—
1092#121—232no—
1093#121—28no—
1094#121—28no—
1095#121—232no—
1096#121—232no—
1097#121—216no—
1098#121—232no—
1099#121—232no—
1100#121—216no—
1101#121—216no—
1102#121—28no—
1103#121—216no—
1104#121—28no—
1105#121—28no—
1106#121—28no—
1107#121—232no—
1108#121—264no—
1109#121—264no—
1110#121C23×C4116yes—
1111#121C23×C4116yes—
1112#121C23×C4132yescomplemented
1113#121C23×C4132yescomplemented
1114#120—216no—
1115#120—264no—
1116#120—232no—
1117#120—264no—
1118#120—216no—
1119#120—232no—
1120#120—264no—
1121#120—264no—
1122C4×Q8—232no—
1123C4×Q8—28no—
1124C4×Q8—216no—
1125C4×Q8—28no—
1126C4×Q8—216no—
1127C4×Q8—28no—
1128C4×Q8—28no—
1129C4×Q8—28no—
1130C4×Q8—28no—
1131C4×Q8C23×C4116yescomplemented
1132C4×Q8C23×C4116yescomplemented
1133C4×D4—2512no—
1134C4×D4—232no—
1135C4×D4—232no—
1136C4×D4—216no—
1137C4×D4—216no—
1138C4×D4—232no—
1139C4×D4—264no—
1140C4×D4—264no—
1141C4×D4—232no—
1142C4×D4—264no—
1143C4×D4—264no—
1144C4×D4—232no—
1145C4×D4—232no—
1146C4×D4—216no—
1147C4×D4—216no—
1148C4×D4—216no—
1149C4×D4—216no—
1150C4×D4—232no—
1151C4×D4—232no—
1152C4×D4—216no—
1153C4×D4—216no—
1154C4×D4—232no—
1155C4×D4—264no—
1156C4×D4—264no—
1157C4×D4—28no—
1158C4×D4—216no—
1159C4×D4—28no—
1160C4×D4—216no—
1161C4×D4—28no—
1162C4×D4—28no—
1163C4×D4—28no—
1164C4×D4—28no—
1165C4×D4C2×C22⋊C4116yes—
1166C4×D4C2×C22⋊C4132yes—
1167C4×D4C2×C22⋊C4132yes—
1168C4×D4C2×C22⋊C4116yes—
1169C4×D4C2×C22⋊C4164yes—
1170C4×D4C2×C22⋊C4132yes—
1171C4×D4C2×C22⋊C4116yes—
1172C4×D4C2×C22⋊C4132yes—
1173C4×D4C2×C22⋊C4132yes—
1174C4×D4C2×C22⋊C4116yes—
1175C4×D4C2×C22⋊C4164yes—
1176C4×D4C2×C22⋊C4132yes—
1177C4×D4C23×C4116yes—
1178C4×D4C23×C4132yes—
1179C4×D4C23×C4116yes—
1180C4×D4C23×C4116yescomplemented
1181C4×D4C23×C4116yescomplemented
1182C4×D4C22×D4116yes—
1183C4×D4C22×D4132yes—
1184C4×D4C22×D4116yes—
1185#117—216no—
1186#117—216no—
1187#117—216no—
1188#117—216no—
1189#117—216no—
1190#117—24no—
1191#117—24no—
1192#117—216no—
1193#117—216no—
1194#117—232no—
1195#117—264no—
1196#117—232no—
1197#117—232no—
1198#117—216no—
1199#117—216no—
1200#117C23×C418yes—
1201#117C23×C4132yescomplemented
1202#117C2518yes—
1203C2×C4⋊C4—232no—
1204C2×C4⋊C4—264no—
1205C2×C4⋊C4—22no—
1206C2×C4⋊C4—24no—
1207C2×C4⋊C4—24no—
1208C2×C4⋊C4—28no—
1209C2×C4⋊C4—232no—
1210C2×C4⋊C4—28no—
1211C2×C4⋊C4—232no—
1212C2×C4⋊C4—24no—
1213C2×C4⋊C4—24no—
1214C2×C4⋊C4—28no—
1215C2×C4⋊C4—28no—
1216C2×C4⋊C4—22no—
1217C2×C4⋊C4—24no—
1218C2×C4⋊C4—24no—
1219C2×C4⋊C4—22no—
1220C2×C4⋊C4—22no—
1221C2×C4⋊C4—24no—
1222C2×C4⋊C4—24no—
1223C2×C4⋊C4—216no—
1224C2×C4⋊C4—232no—
1225C2×C4⋊C4C2×C22⋊C414yes—
1226C2×C4⋊C4C2×C22⋊C418yes—
1227C2×C4⋊C4C2×C22⋊C414yes—
1228C2×C4⋊C4C2×C22⋊C418yes—
1229C2×C4⋊C4C2×C22⋊C418yes—
1230C2×C4⋊C4C2×C22⋊C4116yes—
1231C2×C4⋊C4C2×C22⋊C4116yes—
1232C2×C4⋊C4C2×C22⋊C4132yes—
1233C2×C4⋊C4C23×C414yes—
1234C2×C4⋊C4C23×C414yes—
1235C2×C4⋊C4C23×C4116yescomplemented
1236C2×C4⋊C4C23×C4116yescomplemented
1237C2×C4⋊C4C22×D4116yes—
1238C2×C22⋊C4—264no—
1239C2×C22⋊C4—2128no—
1240C2×C22⋊C4—24no—
1241C2×C22⋊C4—24no—
1242C2×C22⋊C4—28no—
1243C2×C22⋊C4—28no—
1244C2×C22⋊C4—216no—
1245C2×C22⋊C4—232no—
1246C2×C22⋊C4—28no—
1247C2×C22⋊C4—232no—
1248C2×C22⋊C4—232no—
1249C2×C22⋊C4—24no—
1250C2×C22⋊C4—216no—
1251C2×C22⋊C4—24no—
1252C2×C22⋊C4—24no—
1253C2×C22⋊C4—24no—
1254C2×C22⋊C4—28no—
1255C2×C22⋊C4—232no—
1256C2×C22⋊C4—28no—
1257C2×C22⋊C4—232no—
1258C2×C22⋊C4—24no—
1259C2×C22⋊C4—24no—
1260C2×C22⋊C4—24no—
1261C2×C22⋊C4—264no—
1262C2×C22⋊C4C2×C22⋊C418yes—
1263C2×C22⋊C4C2×C22⋊C4116yes—
1264C2×C22⋊C4C2×C22⋊C418yes—
1265C2×C22⋊C4C2×C22⋊C418yes—
1266C2×C22⋊C4C2×C22⋊C418yes—
1267C2×C22⋊C4C2×C22⋊C4116yes—
1268C2×C22⋊C4C2×C22⋊C4116yes—
1269C2×C22⋊C4C2×C22⋊C4116yes—
1270C2×C22⋊C4C2×C22⋊C4164yes—
1271C2×C22⋊C4C2×C22⋊C4132yes—
1272C2×C22⋊C4C22×D4132yes—
1273C2×C42—232no—
1274C2×C42—264no—
1275C2×C42—28no—
1276C2×C42—216no—
1277C2×C42—24no—
1278C2×C42—28no—
1279C2×C42—24no—
1280C2×C42—216no—
1281C2×C42—216no—
1282C2×C42—216no—
1283C2×C42—24no—
1284C2×C42—22no—
1285C2×C42—24no—
1286C2×C42—24no—
1287C2×C42—216no—
1288C2×C42—216no—
1289C2×C42—216no—
1290C2×C42—216no—
1291C2×C42—28no—
1292C2×C42—264no—
1293C2×C42—24no—
1294C2×C42—22no—
1295C2×C42—216no—
1296C2×C42—232no—
1297C2×C42—28no—
1298C2×C42—24no—
1299C2×C42—432no—
1300C2×C42—416no—
1301C2×C42—48no—
1302C2×C42—464no—
1303C2×C42—4128no—
1304C2×C42—432no—
1305C2×C42—416no—
1306C2×C42—432no—
1307C2×C42—44no—
1308C2×C42—48no—
1309C2×C42—464no—
1310C2×C42—48no—
1311C2×C42—416no—
1312C2×C42C2×C22⋊C412yes—
1313C2×C42C2×C22⋊C412yes—
1314C2×C42C2×C22⋊C412yes—
1315C2×C42C2×C22⋊C414yes—
1316C2×C42C2×C22⋊C418yes—
1317C2×C42C2×C22⋊C412yes—
1318C2×C42C2×C22⋊C414yes—
1319C2×C42C2×C22⋊C418yes—
1320C2×C42C2×C22⋊C414yes—
1321C2×C42C2×C22⋊C418yes—
1322C2×C42C2×C22⋊C414yes—
1323C2×C42C23×C412yes—
1324C2×C42C23×C412yes—
1325C2×C42C23×C414yes—
1326C2×C42C23×C414yes—
1327C2×C42C23×C418yes—
1328C2×C42C23×C414yes—
1329C2×C42C22×D414yes—
1330C2×C42C22×D418yes—
1331C2×C42C22×D414yes—
1332C2×C42C22×D418yes—
1333C2×C42C22×D414yes—
1334C2×C42C22×D414yes—
1335C2×C42C22×D412yes—
1336C2×C42C22×D412yes—
1337C2×C42H(5,𝔽2)18yescomplemented
1338C2×C42C2514yes—
1339C2×C42C2518yes—
1340C2×C42C2514yes—
1341C2×C42C2514yes—
1342C4⋊C8—216no—
1343C4⋊C8—216no—
1344#104—264no—
1345#104—464no—
1346#104—432no—
1347C22⋊C8—216no—
1348C22⋊C8—216no—
1349C22⋊C8—232no—
1350C22⋊C8—232no—
1351#97—216no—
1352C4×C8—216no—
1353#95—216no—
1354#95—232no—
1355C24—24no—
1356C24—24no—
1357C24—22no—
1358C24—22no—
1359C24—216no—
1360C24—216no—
1361C24—28no—
1362C24—232no—
1363C24—232no—
1364C24—216no—
1365C24—28no—
1366C24—28no—
1367C24—24no—
1368C24—216no—
1369C24—48no—
1370C24—44no—
1371C24—48no—
1372C24—416no—
1373C24—44no—
1374C24—48no—
1375C24—48no—
1376C24—416no—
1377C24—44no—
1378C24—416no—
1379C24—44no—
1380C24—464no—
1381C24—464no—
1382C24—416no—
1383C24—88no—
1384C24—88no—
1385C24C2×#104116yescomplemented
1386C24C22×C22⋊C414yes—
1387C24C22×C22⋊C412yes—
1388C24C22×C22⋊C4116yes—
1389C24C22×C22⋊C418yes—
1390C24C22×C22⋊C411yescharacteristic
1391C24C22×C22⋊C414yes—
1392C24C22×C22⋊C411yescharacteristic
1393C24C22×C22⋊C418yes—
1394C24C22×C22⋊C418yes—
1395C24C23×D412yes—
1396C24C23×D418yes—
1397C24C23×D411yescharacteristic
1398#41—216no—
1399#41—216no—
1400#41—232no—
1401#41—464no—
1402#41—4128no—
1403#41—464no—
1404#41—48no—
1405#41—48no—
1406#41—416no—
1407#41—832no—
1408#41—832no—
1409#41—816no—
1410#41—816no—
1411#41—832no—
1412#41—832no—
1413#41—832no—
1414C2×Q8—28no—
1415C2×Q8—24no—
1416C2×Q8—28no—
1417C2×Q8—216no—
1418C2×Q8—216no—
1419C2×Q8—432no—
1420C2×Q8—48no—
1421C2×Q8—88no—
1422C2×Q8—84no—
1423C2×Q8—816no—
1424C2×Q8C24×C418yes—
1425C2×D4—232no—
1426C2×D4—264no—
1427C2×D4—264no—
1428C2×D4—264no—
1429C2×D4—2128no—
1430C2×D4—28no—
1431C2×D4—216no—
1432C2×D4—216no—
1433C2×D4—232no—
1434C2×D4—28no—
1435C2×D4—232no—
1436C2×D4—232no—
1437C2×D4—216no—
1438C2×D4—232no—
1439C2×D4—28no—
1440C2×D4—24no—
1441C2×D4—28no—
1442C2×D4—216no—
1443C2×D4—216no—
1444C2×D4—432no—
1445C2×D4—416no—
1446C2×D4—432no—
1447C2×D4—4128no—
1448C2×D4—416no—
1449C2×D4—48no—
1450C2×D4—48no—
1451C2×D4—4128no—
1452C2×D4—48no—
1453C2×D4—816no—
1454C2×D4—88no—
1455C2×D4—84no—
1456C2×D4—816no—
1457C2×D4—816no—
1458C2×D4—864no—
1459C2×D4—816no—
1460C2×D4—816no—
1461C2×D4—832no—
1462C2×D4C2×#104132yescomplemented
1463C2×D4C2×#104164yescomplemented
1464C2×D4C22×C22⋊C4132yes—
1465C2×D4C22×C22⋊C4116yes—
1466C2×D4C22×C22⋊C4116yes—
1467C2×D4C24×C418yes—
1468C22×C4—216no—
1469C22×C4—216no—
1470C22×C4—28no—
1471C22×C4—216no—
1472C22×C4—28no—
1473C22×C4—264no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—28no—
1477C22×C4—22no—
1478C22×C4—28no—
1479C22×C4—28no—
1480C22×C4—22no—
1481C22×C4—28no—
1482C22×C4—24no—
1483C22×C4—216no—
1484C22×C4—24no—
1485C22×C4—216no—
1486C22×C4—28no—
1487C22×C4—28no—
1488C22×C4—216no—
1489C22×C4—216no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—28no—
1493C22×C4—216no—
1494C22×C4—216no—
1495C22×C4—232no—
1496C22×C4—24no—
1497C22×C4—216no—
1498C22×C4—24no—
1499C22×C4—216no—
1500C22×C4—216no—
1501C22×C4—216no—
1502C22×C4—232no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—28no—
1506C22×C4—216no—
1507C22×C4—28no—
1508C22×C4—232no—
1509C22×C4—216no—
1510C22×C4—2128no—
1511C22×C4—24no—
1512C22×C4—28no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—216no—
1517C22×C4—216no—
1518C22×C4—216no—
1519C22×C4—28no—
1520C22×C4—216no—
1521C22×C4—28no—
1522C22×C4—216no—
1523C22×C4—232no—
1524C22×C4—416no—
1525C22×C4—432no—
1526C22×C4—416no—
1527C22×C4—432no—
1528C22×C4—416no—
1529C22×C4—416no—
1530C22×C4—416no—
1531C22×C4—432no—
1532C22×C4—416no—
1533C22×C4—416no—
1534C22×C4—432no—
1535C22×C4—416no—
1536C22×C4—416no—
1537C22×C4—48no—
1538C22×C4—44no—
1539C22×C4—48no—
1540C22×C4—48no—
1541C22×C4—48no—
1542C22×C4—48no—
1543C22×C4—48no—
1544C22×C4—432no—
1545C22×C4—44no—
1546C22×C4—48no—
1547C22×C4—44no—
1548C22×C4—416no—
1549C22×C4—416no—
1550C22×C4—48no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—48no—
1554C22×C4—464no—
1555C22×C4—464no—
1556C22×C4—4256no—
1557C22×C4—4512no—
1558C22×C4—416no—
1559C22×C4—48no—
1560C22×C4—44no—
1561C22×C4—48no—
1562C22×C4—432no—
1563C22×C4—464no—
1564C22×C4—416no—
1565C22×C4—48no—
1566C22×C4—416no—
1567C22×C4—48no—
1568C22×C4—44no—
1569C22×C4—416no—
1570C22×C4—416no—
1571C22×C4—832no—
1572C22×C4—832no—
1573C22×C4—816no—
1574C22×C4—88no—
1575C22×C4—88no—
1576C22×C4—88no—
1577C22×C4C2×#10418yescomplemented
1578C22×C4C22×C22⋊C412yes—
1579C22×C4C22×C22⋊C414yes—
1580C22×C4C22×C22⋊C418yes—
1581C22×C4C22×C22⋊C411yescharacteristic
1582C22×C4C22×C22⋊C411yescharacteristic
1583C22×C4C22×C22⋊C412yes—
1584C22×C4C22×C22⋊C412yes—
1585C22×C4C22×C22⋊C412yes—
1586C22×C4C22×C22⋊C412yes—
1587C22×C4C22×C22⋊C412yes—
1588C22×C4C22×C22⋊C412yes—
1589C22×C4C22×C22⋊C412yes—
1590C22×C4C22×C22⋊C418yes—
1591C22×C4C22×C22⋊C418yes—
1592C22×C4C22×C22⋊C414yes—
1593C22×C4C22×C22⋊C414yes—
1594C22×C4C22×C22⋊C414yes—
1595C22×C4C22×C22⋊C418yes—
1596C22×C4C22×C22⋊C418yes—
1597C22×C4C22×C22⋊C418yes—
1598C22×C4C22×C22⋊C418yes—
1599C22×C4C22×C22⋊C414yes—
1600C22×C4C22×C22⋊C414yes—
1601C22×C4C22×C22⋊C414yes—
1602C22×C4C22×C22⋊C4116yes—
1603C22×C4C22×C22⋊C4116yes—
1604C22×C4C22×C22⋊C418yes—
1605C22×C4C22×C22⋊C4116yes—
1606C22×C4C22×C22⋊C418yes—
1607C22×C4C22×C22⋊C4116yes—
1608C22×C4C22×C22⋊C4116yes—
1609C22×C4C22×C22⋊C412yes—
1610C22×C4C22×C22⋊C414yes—
1611C22×C4C24×C412yes—
1612C22×C4C24×C412yes—
1613C22×C4C24×C418yes—
1614C22×C4C24×C418yes—
1615C22×C4C24×C411yescharacteristic
1616C22×C4C24×C411yescharacteristic
1617C22×C4C23×D412yes—
1618C22×C4C23×D412yes—
1619C22×C4C23×D418yes—
1620C22×C4C23×D418yes—
1621C22×C4C23×D418yes—
1622C22×C4C23×D412yes—
1623C22×C4C23×D414yes—
1624C22×C4C23×D414yes—
1625C22×C4C23×D411yescharacteristic
1626C22×C4C23×D411yescharacteristic
1627C22×C4C23×D411yescharacteristic
1628C22×C4C2×H(5,𝔽2)14yes—
1629C22×C4#58514yes—
1630C22×C4C2611yescharacteristic
1631M16—216no—
1632M16—216no—
1633M16—416no—
1634M16—832no—
1635C2×C8—216no—
1636C2×C8—416no—
1637C2×C8—832no—
1638C4⋊C4—264no—
1639C4⋊C4—28no—
1640C4⋊C4—216no—
1641C4⋊C4—216no—
1642C4⋊C4—232no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—232no—
1646C4⋊C4—216no—
1647C4⋊C4—216no—
1648C4⋊C4—28no—
1649C4⋊C4—216no—
1650C4⋊C4—216no—
1651C4⋊C4—28no—
1652C4⋊C4—28no—
1653C4⋊C4—216no—
1654C4⋊C4—216no—
1655C4⋊C4C22×C22⋊C4116yes—
1656C4⋊C4C22×C22⋊C4116yes—
1657C4⋊C4C22×C22⋊C4132yes—
1658C4⋊C4C24×C418yes—
1659C4⋊C4C24×C418yes—
1660C22⋊C4—2128no—
1661C22⋊C4—28no—
1662C22⋊C4—28no—
1663C22⋊C4—216no—
1664C22⋊C4—216no—
1665C22⋊C4—232no—
1666C22⋊C4—232no—
1667C22⋊C4—232no—
1668C22⋊C4—216no—
1669C22⋊C4—216no—
1670C22⋊C4—216no—
1671C22⋊C4—232no—
1672C22⋊C4—232no—
1673C22⋊C4—216no—
1674C22⋊C4—216no—
1675C22⋊C4—216no—
1676C22⋊C4C22×C22⋊C4132yes—
1677C22⋊C4C22×C22⋊C4132yes—
1678C22⋊C4C22×C22⋊C4132yes—
1679C22⋊C4C22×C22⋊C4132yes—
1680C42—216no—
1681C42—264no—
1682C42—28no—
1683C42—24no—
1684C42—28no—
1685C42—216no—
1686C42—232no—
1687C42—216no—
1688C42—28no—
1689C42—216no—
1690C42—28no—
1691C42—464no—
1692C42—432no—
1693C42—48no—
1694C42—416no—
1695C42—48no—
1696C42—44no—
1697C42C22×C22⋊C414yes—
1698C42C22×C22⋊C418yes—
1699C42C22×C22⋊C414yes—
1700C42C22×C22⋊C418yes—
1701C42C22×C22⋊C414yes—
1702C42C22×C22⋊C418yes—
1703C42C22×C22⋊C414yes—
1704C42C22×C22⋊C418yes—
1705C42C24×C414yes—
1706C42C24×C414yes—
1707C42C23×D414yes—
1708C42C23×D414yes—
1709C42C2×H(5,𝔽2)18yescomplemented
1710C23—216no—
1711C23—216no—
1712C23—22no—
1713C23—22no—
1714C23—24no—
1715C23—22no—
1716C23—24no—
1717C23—22no—
1718C23—24no—
1719C23—22no—
1720C23—24no—
1721C23—22no—
1722C23—28no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—28no—
1727C23—28no—
1728C23—28no—
1729C23—216no—
1730C23—216no—
1731C23—232no—
1732C23—216no—
1733C23—28no—
1734C23—232no—
1735C23—28no—
1736C23—216no—
1737C23—28no—
1738C23—28no—
1739C23—48no—
1740C23—416no—
1741C23—48no—
1742C23—48no—
1743C23—48no—
1744C23—48no—
1745C23—48no—
1746C23—432no—
1747C23—432no—
1748C23—432no—
1749C23—464no—
1750C23—464no—
1751C23—464no—
1752C23—4128no—
1753C23—432no—
1754C23—48no—
1755C23—48no—
1756C23—48no—
1757C23—432no—
1758C23—816no—
1759C23—816no—
1760C23—1632no—
1761C23C22×#10414yes—
1762C23C22×#104116yes—
1763C23C22×#104132yescomplemented
1764C23#290114yes—
1765C23C23×C22⋊C418yes—
1766C23C23×C22⋊C412yes—
1767C23C23×C22⋊C418yes—
1768C23C23×C22⋊C412yes—
1769C23C23×C22⋊C411yescharacteristic
1770C23C23×C22⋊C411yescharacteristic
1771C23#348412yes—
1772C23#348512yes—
1773C23C24×D411yescharacteristic
1774Q8—216no—
1775Q8—416no—
1776Q8—48no—
1777Q8—816no—
1778Q8—88no—
1779D4—264no—
1780D4—216no—
1781D4—232no—
1782D4—48no—
1783D4—48no—
1784D4—432no—
1785D4—464no—
1786D4—432no—
1787D4—416no—
1788D4—416no—
1789D4—48no—
1790D4—816no—
1791D4—88no—
1792D4—832no—
1793D4—832no—
1794D4C22×#104164yescomplemented
1795C2×C4—28no—
1796C2×C4—28no—
1797C2×C4—264no—
1798C2×C4—232no—
1799C2×C4—22no—
1800C2×C4—28no—
1801C2×C4—28no—
1802C2×C4—22no—
1803C2×C4—28no—
1804C2×C4—28no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—216no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—28no—
1813C2×C4—28no—
1814C2×C4—216no—
1815C2×C4—216no—
1816C2×C4—216no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—24no—
1821C2×C4—216no—
1822C2×C4—216no—
1823C2×C4—28no—
1824C2×C4—28no—
1825C2×C4—216no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—216no—
1831C2×C4—216no—
1832C2×C4—216no—
1833C2×C4—216no—
1834C2×C4—28no—
1835C2×C4—216no—
1836C2×C4—28no—
1837C2×C4—28no—
1838C2×C4—28no—
1839C2×C4—44no—
1840C2×C4—416no—
1841C2×C4—416no—
1842C2×C4—416no—
1843C2×C4—416no—
1844C2×C4—48no—
1845C2×C4—416no—
1846C2×C4—48no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—4256no—
1851C2×C4—44no—
1852C2×C4—432no—
1853C2×C4—416no—
1854C2×C4—464no—
1855C2×C4—432no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—44no—
1859C2×C4—48no—
1860C2×C4—432no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—416no—
1864C2×C4—432no—
1865C2×C4—416no—
1866C2×C4—832no—
1867C2×C4—816no—
1868C2×C4—816no—
1869C2×C4—816no—
1870C2×C4C22×#10418yes—
1871C2×C4C22×#104116yescomplemented
1872C2×C4C23×C22⋊C414yes—
1873C2×C4C23×C22⋊C418yes—
1874C2×C4C23×C22⋊C412yes—
1875C2×C4C23×C22⋊C412yes—
1876C2×C4C23×C22⋊C414yes—
1877C2×C4C23×C22⋊C414yes—
1878C2×C4C23×C22⋊C418yes—
1879C2×C4C23×C22⋊C414yes—
1880C2×C4C23×C22⋊C411yescharacteristic
1881C2×C4C23×C22⋊C411yescharacteristic
1882C2×C4C4×H(5,𝔽2)14yes—
1883C2×C4C4×H(5,𝔽2)14yes—
1884C2×C4#348412yes—
1885C2×C4#348512yes—
1886C2×C4#349614yes—
1887C2×C4#349614yes—
1888C2×C4C25×C411yescharacteristic
1889C2×C4C24×D411yescharacteristic
1890C2×C4C22×H(5,𝔽2)12yes—
1891C2×C4C2×#58512yes—
1892C8—416no—
1893C22—28no—
1894C22—28no—
1895C22—216no—
1896C22—24no—
1897C22—24no—
1898C22—28no—
1899C22—28no—
1900C22—232no—
1901C22—21no—
1902C22—22no—
1903C22—21no—
1904C22—21no—
1905C22—22no—
1906C22—21no—
1907C22—28no—
1908C22—22no—
1909C22—22no—
1910C22—28no—
1911C22—28no—
1912C22—28no—
1913C22—28no—
1914C22—432no—
1915C22—416no—
1916C22—416no—
1917C22—464no—
1918C22—432no—
1919C22—432no—
1920C22—416no—
1921C22—48no—
1922C22—48no—
1923C22—48no—
1924C22—816no—
1925C22—1632no—
1926C22#3425612yes—
1927C22#3425612yes—
1928C22C23×#10414yes—
1929C22C23×#104116yes—
1930C22C23×#10412yes—
1931C22C2×#290114yes—
1932C22C2×#290112yes—
1933C22C24×C22⋊C411yescharacteristic
1934C22C2×#348411yescharacteristic
1935C22C2×#348511yescharacteristic
1936C4—216no—
1937C4—24no—
1938C4—24no—
1939C4—24no—
1940C4—22no—
1941C4—22no—
1942C4—28no—
1943C4—28no—
1944C4—48no—
1945C4—416no—
1946C4—48no—
1947C4—48no—
1948C4—48no—
1949C4#3425612yes—
1950C4#3425612yes—
1951C4C23×#10418yes—
1952C4C2×C4×H(5,𝔽2)12yes—
1953C4C2×#349612yes—
1954C2—21no—
1955C2—21no—
1956C2—24no—
1957C2—24no—
1958C2—22no—
1959C2—216no—
1960C2—48no—
1961C2—88no—
1962C2#639351414yesdirect product factor
1963C2C2×#3425611yescharacteristic
1964C2C24×#10411yescharacteristic
1965C2C22×#290111yescharacteristic
subgroupG/H
centerC22×C4C23×D4
commutatorC2×C4C25×C4
Frattini, cosocleC22×C4C26
socleC23C23×C22⋊C4
prime radicalC2×#62773C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#60230C2semidirect
3. C22×C42×D4C2semidirect
4. #6393514C2direct (N × H)
5. C2×#22505C2semidirect
6. C2×D4×#104C2semidirect
7. C2×#21899C2semidirect
8. C2×#21773C2semidirect
9. C2×#21415C2semidirect
10. C22×#1896C2semidirect
13. #62773C4semidirect
15. C2×#3520C4semidirect
16. C2×#3519C4semidirect
18. C2×#3506C4semidirect
20. C2×#3505C4semidirect
22. C2×#3501C4semidirect
23. C2×#3496C4semidirect
35. C24×C42C22semidirect
37. #60230C22semidirect
42. C2×D4×M16C22semidirect
43. C2×#2920C22semidirect
44. C23×#104C22semidirect
45. C22×#407C22semidirect
48. C2×C42×D4C22semidirect
49. C2×C42×D4C22semidirect
51. C22×C4×C4⋊C4C22semidirect
53. C22×C4×C22⋊C4C22semidirect
54. C22×C43C22semidirect
55. #22505C22semidirect
56. D4×#104C22semidirect
57. #21899C22semidirect
58. #21773C22semidirect
59. #21415C22semidirect
60. C2×#1994C22semidirect
61. C2×#1986C22semidirect
62. C2×#1980C22semidirect
63. C2×#1962C22semidirect
64. C2×#1896C22semidirect
65. C2×#1896C22semidirect
66. C2×#1896C22semidirect
67. C2×#1896C22semidirect
68. C2×#1896C22semidirect
69. C2×#1871C22semidirect
70. C2×#1826C22semidirect
71. C2×#1806C22semidirect
72. C2×#1789C22semidirect
73. C2×C4×#104C22semidirect
74. C22×#339C22semidirect
82. #3520C2×C4semidirect
84. #3519C2×C4semidirect
88. #3506C2×C4semidirect
90. #3505C2×C4semidirect
92. #3501C2×C4semidirect
94. #3496C2×C4semidirect
106. #3475C2×C4semidirect
108. C2×#556C2×C4semidirect
109. C2×#555C2×C4semidirect
112. C2×#554C2×C4semidirect
116. C2×#553C2×C4semidirect
118. C2×#552C2×C4semidirect
124. D4×#41C2×C4semidirect
126. C2×#550C2×C4semidirect
127. C2×D4×Q8C2×C4semidirect
128. C2×#548C2×C4semidirect
130. C2×#547C2×C4semidirect
131. C2×#547C2×C4semidirect
137. C2×#546C2×C4semidirect
140. C2×D42C2×C4semidirect
160. #3444C2×C4semidirect
162. C2×#533C2×C4semidirect
163. C2×#533C2×C4semidirect
166. C2×#532C2×C4semidirect
167. C2×#532C2×C4semidirect
175. C2×#529C2×C4semidirect
176. C2×#529C2×C4semidirect
186. C2×#525C2×C4semidirect
187. C2×#525C2×C4semidirect
188. C2×#525C2×C4semidirect
193. C22×C22⋊Q8C2×C4semidirect
194. C22×C22⋊Q8C2×C4semidirect
195. C22×#121C2×C4semidirect
196. C22×#121C2×C4semidirect
245. C23×C42C23semidirect
251. D4×M16C23semidirect
256. #2920C23semidirect
266. C22×#104C23semidirect
272. C2×#407C23semidirect
278. C42×D4C23semidirect
284. C2×C4×C4⋊C4C23semidirect
290. C2×C4×C22⋊C4C23semidirect
296. C2×C43C23semidirect
297. #1994C23semidirect
298. #1986C23semidirect
299. #1980C23semidirect
300. #1962C23semidirect
301. #1896C23semidirect
302. #1896C23semidirect
303. #1896C23semidirect
304. #1896C23semidirect
305. #1871C23semidirect
306. #1826C23semidirect
307. #1806C23semidirect
308. #1789C23semidirect
309. C4×#104C23semidirect
313. C2×#339C23semidirect
326. C22×#41C22×C4semidirect
327. C22×#41C22×C4semidirect
330. C23×Q8C22×C4semidirect
341. C23×D4C22×C4semidirect
380. #556C22×C4semidirect
382. #555C22×C4semidirect
386. #554C22×C4semidirect
391. #553C22×C4semidirect
395. #552C22×C4semidirect
401. #550C22×C4semidirect
403. D4×Q8C22×C4semidirect
405. #548C22×C4semidirect
410. #547C22×C4semidirect
411. #547C22×C4semidirect
420. #546C22×C4semidirect
425. D42C22×C4semidirect
443. #533C22×C4semidirect
444. #533C22×C4semidirect
445. #533C22×C4semidirect
453. #532C22×C4semidirect
454. #532C22×C4semidirect
455. #532C22×C4semidirect
458. C2×C4⋊Q8C22×C4semidirect
459. C2×C4⋊Q8C22×C4semidirect
460. C2×C4⋊Q8C22×C4semidirect
462. C2×#127C22×C4semidirect
477. #529C22×C4semidirect
478. #529C22×C4semidirect
488. C2×#125C22×C4semidirect
494. C2×#124C22×C4semidirect
516. #525C22×C4semidirect
517. #525C22×C4semidirect
518. #525C22×C4semidirect
550. C2×C22⋊Q8C22×C4semidirect
551. C2×C22⋊Q8C22×C4semidirect
552. C2×C22⋊Q8C22×C4semidirect
553. C2×C22⋊Q8C22×C4semidirect
573. C2×#121C22×C4semidirect
574. C2×#121C22×C4semidirect
575. C2×#121C22×C4semidirect
576. C2×#121C22×C4semidirect
598. C4×#41C22×C4semidirect
605. C2×C4×Q8C22×C4semidirect
606. C2×C4×Q8C22×C4semidirect
660. C2×C4×D4C22×C4semidirect
661. C2×C4×D4C22×C4semidirect
684. C2×#117C22×C4semidirect
685. C2×#117C22×C4semidirect
699. C22×C4⋊C4C22×C4semidirect
700. C22×C4⋊C4C22×C4semidirect
857. C2×#41C23×C4semidirect
865. C22×Q8C23×C4semidirect
893. C22×D4#104semidirect
903. C22×D4C23×C4semidirect
1030. C4⋊Q8C23×C4semidirect
1031. C4⋊Q8C23×C4semidirect
1032. C4⋊Q8C23×C4semidirect
1035. #127C23×C4semidirect
1046. #125C23×C4semidirect
1053. #124C23×C4semidirect
1087. C22⋊Q8C23×C4semidirect
1088. C22⋊Q8C23×C4semidirect
1112. #121C23×C4semidirect
1113. #121C23×C4semidirect
1131. C4×Q8C23×C4semidirect
1132. C4×Q8C23×C4semidirect
1180. C4×D4C23×C4semidirect
1181. C4×D4C23×C4semidirect
1201. #117C23×C4semidirect
1235. C2×C4⋊C4C23×C4semidirect
1236. C2×C4⋊C4C23×C4semidirect
1337. C2×C42H(5,𝔽2)semidirect
1385. C24C2×#104semidirect
1462. C2×D4C2×#104semidirect
1463. C2×D4C2×#104semidirect
1577. C22×C4C2×#104semidirect
1709. C42C2×H(5,𝔽2)semidirect
1763. C23C22×#104semidirect
1794. D4C22×#104semidirect
1871. C2×C4C22×#104semidirect
1962. C2#6393514direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#627732
C2×#602302
C22×C42×D42
#63935142
C2×#225052
C2×D4×#1042
C2×#218992
C2×#217732
C2×#214152
C22×#18962