Finite Group Databasebeta

← #11904629

Subgroups — #11904629

Order 1152.

3530 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C2×#64312C211yesmaximal, characteristic, complemented
3D4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
4C3×#5554C211yesmaximal, characteristic, complemented
5C3×#5546C211yesmaximal, characteristic, complemented
6#10595254C211yesmaximal, characteristic, complemented
7D4×#626C211yesmaximal, characteristic, complemented
8#10595074C212yesmaximal, complemented
9#10595073C212yesmaximal, complemented
10C2×#63910C212yesmaximal, complemented
11#10594911C212yesmaximal, complemented
12D3×#895C211yesmaximal, characteristic, complemented
13#10594524C211yesmaximal, characteristic, complemented
14#10594523C211yesmaximal, characteristic, complemented
15#10594329C211yesmaximal, characteristic, complemented
16#10594293C212yesmaximal, complemented
17#10594277C212yesmaximal, complemented
18#10594080C212yesmaximal, complemented
19#10594079C212yesmaximal, complemented
20#10594001C211yesmaximal, characteristic, complemented
21#10593997C211yesmaximal, characteristic, complemented
22#10593902C211yesmaximal, characteristic, complemented
23#10593901C211yesmaximal, characteristic, complemented
24#86629—31nomaximal
25#85900—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C22×C4⋊(C3⋊D3)C2212yescomplemented
29C2×C3×#237C2211yescharacteristic
30C2×C3×#237C2211yescharacteristic, complemented
31C2×C3×D3×D4C2211yescharacteristic, complemented
32C2×#3811C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C22×#626C2212yescomplemented
36C22×#626C2212yescomplemented
37C22×#624C2212yescomplemented
38C2×#3804C2212yescomplemented
39C2×#3804C2212yescomplemented
40C2×#3804C2212yescomplemented
41#64314—28no—
42#64312—28no—
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×C4×D32C2211yescharacteristic, complemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3799C2211yescharacteristic, complemented
48C2×#3799C2211yescharacteristic, complemented
49C2×#3798C2211yescharacteristic, complemented
50C2×#3797C2211yescharacteristic, complemented
51C2×#3796C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64139C2212yescomplemented
54#64104C2211yescharacteristic, complemented
55#64104C2211yescharacteristic, complemented
56#64091C2212yescomplemented
57#64091C2212yescomplemented
58#64083C2211yescharacteristic, complemented
59C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
60C3×D4×Dic3C2211yescharacteristic, complemented
61C3×#930C2212yescomplemented
62C3×C4×#67C2212yescomplemented
63C2×C3×(C2×D3)⋊C4C2212yescomplemented
64C2×C3×Dic3⋊C4C2212yescomplemented
65C3×#897C2211yescharacteristic, complemented
66C3×#895C2211yescharacteristic, complemented
67C3×D3×C4⋊C4C2211yescharacteristic, complemented
68C3×#887C2211yescharacteristic, complemented
69C3×#886C2212yescomplemented
70C3×#882C2212yescomplemented
71C3×#67⋊C4C2212yescomplemented
72C3×#877C2212yescomplemented
73C3×#875C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×#872C2211yescharacteristic, complemented
76C3×C4×Dic6C2211yescharacteristic, complemented
77#63981C2212yescomplemented
78#63981C2212yescomplemented
79#63978C2212yescomplemented
80#63978C2212yescomplemented
81#63977C2212yescomplemented
82#63966C2212yescomplemented
83C2×#3722C2212yescomplemented
84#63923C2212yescomplemented
85#63923C2211yescharacteristic, complemented
86#63923C2212yescomplemented
87#63922C2211yescharacteristic, complemented
88D3×(C2×D3)⋊C4C2212yescomplemented
89#63916C2211yescharacteristic, complemented
90#63911C2212yescomplemented
91#63911C2212yescomplemented
92#63911C2211yescharacteristic, complemented
93#63910C2212yescomplemented
94#63910C2212yescomplemented
95#63910C2212yescomplemented
96#63910C2212yescomplemented
97#63910C2212yescomplemented
98#63910C2212yescomplemented
99#63910C2212yescomplemented
100#63910C2212yescomplemented
101#63910C2211yescharacteristic, complemented
102#63910C2212yescomplemented
103#63909C2212yescomplemented
104#63909C2211yescharacteristic, complemented
105#63909C2211yescharacteristic, complemented
106#63906C2212yescomplemented
107C4×#626C2211yescharacteristic, complemented
108C4×#626C2211yescharacteristic, complemented
109#63895C2212yescomplemented
110#63895C2211yescharacteristic, complemented
111#63895C2212yescomplemented
112#63894C2212yescomplemented
113#63894C2212yescomplemented
114#63893C2212yescomplemented
115#63893C2211yescharacteristic, complemented
116#63891C2211yescharacteristic, complemented
117#63890C2211yescharacteristic, complemented
118#63886C2211yescharacteristic, complemented
119#63886C2212yescomplemented
120#63886C2212yescomplemented
121#63880C2212yescomplemented
122#63880C2212yescomplemented
123#63871C2211yescharacteristic, complemented
124#63864C2211yescharacteristic, complemented
125#63852C2212yescomplemented
126#63852C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×D3×#41—31no—
130C2×#1004—31no—
131C3×#546—31no—
132C3×#520—31no—
133#5829—31no—
134D4×#67—31no—
135#5677—31no—
136#5674—31no—
137#5656—32no—
138#5654—32no—
139#5633—31no—
140#5629—31no—
141#5609—32no—
142D3×#121—31no—
143#5599—31no—
144#5597—32no—
145#5592—32no—
146#5590—32no—
147#5577—31no—
148#5577—31no—
149#5576—31no—
150#5576—31no—
151#5554—31no—
152#5554—32no—
153#5554—32no—
154#5554D311yescharacteristic, complemented
155#5553—31no—
156D4×D12—31no—
157D4×D12—31no—
158D4×D12—31no—
159D4×D12—32no—
160D4×D12—32no—
161D4×D12—61no—
162#5547—31no—
163#5546D311yescharacteristic, complemented
164#5525—32no—
165#5525—31no—
166#5524—32no—
167#5524—31no—
168#5510—32no—
169#5510—31no—
170C2×#895—32no—
171C2×#895—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3⋊D3C2312yes—
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2312yes—
181C2×#638C2312yes—
182C2×#638C2312yes—
183D4×C3⋊D3—24no—
184D4×C3⋊D3—24no—
185C2×C4⋊(C3⋊D3)—44no—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4⋊(C3⋊D3)C2312yes—
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4⋊(C3⋊D3)C2312yes—
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4⋊(C3⋊D3)C2312yes—
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C22×C3×Dic3C2312yes—
199C22×C3×Dic3C2312yes—
200C22×C3×Dic3C2312yes—
201C3×#237—24no—
202C3×#237D418yescomplemented
203C3×D3×D4—24no—
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2312yes—
207C2×C3×C4×D3C2311yescharacteristic
208C2×C3×C4×D3C2311yescharacteristic
209C2×C3×C4×D3C2312yes—
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×Dic6C2311yescharacteristic
212C2×C3×Dic6C2311yescharacteristic
213#3811—28no—
214#3811—28no—
215D3×#67—28no—
216C2×#627C2312yes—
217C2×#627C2311yescharacteristic
218C2×#626—28no—
219C2×#626—44no—
220C2×#626C2312yes—
221C2×#626C2311yescharacteristic
222C2×#626C2311yescharacteristic
223C2×#626C2312yes—
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2311yescharacteristic
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2311yescharacteristic
234C2×#625C2311yescharacteristic
235C2×#624—28no—
236C2×#624C2312yes—
237C2×#624C2312yes—
238C2×#624C2312yes—
239C2×#624C2312yes—
240C2×#624C2311yescharacteristic
241#3804—28no—
242#3804—28no—
243#3804—28no—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2311yescharacteristic
246C2×D3×Dic3C2311yescharacteristic
247D3×D12—24no—
248D3×D12—44no—
249C4×D32—24no—
250#3799—24no—
251#3799—24no—
252#3799—24no—
253#3798—24no—
254#3797—24no—
255#3796—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258C32×C42C2311yescharacteristic
259#3752C2311yescharacteristic
260#3752C2311yescharacteristic
261#3752C2312yes—
262#3752C2312yes—
263C4⋊(C3⋊Dic3)C2311yescharacteristic
264C3×#217C2312yes—
265C3×(C2×D3)⋊C4C2311yescharacteristic
266C3×(C2×D3)⋊C4C2312yes—
267C3×(C2×D3)⋊C4C2312yes—
268C3×(C2×D3)⋊C4C2312yes—
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×C4⋊Dic3C2311yescharacteristic
274C3×C4⋊Dic3C2312yes—
275C3×C4⋊Dic3C2311yescharacteristic
276C3×Dic3⋊C4C2311yescharacteristic
277C3×Dic3⋊C4C2312yes—
278C3×Dic3⋊C4C2312yes—
279C3×Dic3⋊C4C2311yescharacteristic
280C3×Dic3⋊C4C2312yes—
281C3×C4×Dic3C2312yes—
282C3×C4×Dic3C2312yes—
283C3×C4×Dic3C2311yescharacteristic
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2312yes—
288#3722C2312yes—
289#3722C2312yes—
290#3722C2311yescharacteristic
291#3722C2311yescharacteristic
292#3722C2312yes—
293#3722C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2312yes—
296(C2×D3)⋊Dic3C2311yescharacteristic
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C22×#67—32no—
302C22×#67—32no—
303C22×#67—32no—
304#1009—68no—
305D3×#41—68no—
306D3×#41—68no—
307C2×#239—31no—
308C2×#239—31no—
309C2×#239—31no—
310C2×#239—31no—
311C2×D3×Q8—31no—
312C2×D3×Q8—31no—
313#1004—68no—
314C2×#237—32no—
315C2×#237—32no—
316C2×#237—32no—
317C2×#237—31no—
318C2×#237C2×D311yescharacteristic
319C2×#237C2×D311yescharacteristic, complemented
320C2×D3×D4—32no—
321C2×D3×D4—31no—
322C2×D3×D4—31no—
323C2×D3×D4—31no—
324C2×D3×D4—31no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—61no—
332C2×D3×D4—61no—
333C2×D3×D4C2×D311yescharacteristic, complemented
334C2×#235—32no—
335C2×#235—32no—
336C2×#235—32no—
337C2×#235—31no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—31no—
342C22×D12—32no—
343C22×D12—32no—
344C22×D12—32no—
345C22×D12—32no—
346C22×D12—31no—
347C22×D12—32no—
348C22×D12—62no—
349C22×C4×D3—32no—
350C22×C4×D3—32no—
351C22×C4×D3—31no—
352C22×C4×D3—31no—
353C3×#124—31no—
354C3×#123—32no—
355C3×C22⋊Q8—31no—
356C3×#121—32no—
357C3×#121—31no—
358C3×#120—32no—
359C3×C4×Q8—31no—
360C3×C4×Q8—31no—
361C3×C4×D4—21no—
362C3×C4×D4—31no—
363C3×C4×D4—32no—
364C3×C4×D4—32no—
365C3×C4×D4—31no—
366C3×C4×D4C2×D311yescharacteristic, complemented
367C3×C4×D4C2×D311yescharacteristic, complemented
368C3×#117—32no—
369C3×#117—31no—
370C2×C3×C4⋊C4—32no—
371C2×C3×C4⋊C4—31no—
372C2×C3×C22⋊C4—32no—
373#953—32no—
374#947—31no—
375#946—31no—
376#940—31no—
377#940—32no—
378#940—32no—
379#939—32no—
380#939—32no—
381#939—31no—
382#939—32no—
383#939—32no—
384#938—31no—
385#937—32no—
386#937—32no—
387#937—31no—
388D4×Dic3C2×D311yescharacteristic, complemented
389#930—32no—
390#930—32no—
391#930—32no—
392#930—32no—
393#930—32no—
394#930—32no—
395#930—31no—
396#930—31no—
397#930—62no—
398#930C2×D312yescomplemented
399#929—32no—
400C4×#67—31no—
401C4×#67—31no—
402C4×#67C2×D312yescomplemented
403C2×(C2×D3)⋊C4—32no—
404C2×(C2×D3)⋊C4—32no—
405C2×(C2×D3)⋊C4—32no—
406C2×(C2×D3)⋊C4C2×D312yescomplemented
407C2×Dic3⋊C4C2×D312yescomplemented
408#897—31no—
409#897—31no—
410#897—32no—
411#897—32no—
412#897—32no—
413#897—31no—
414#897C2×D311yescharacteristic, complemented
415#896—32no—
416#896—31no—
417#896—32no—
418#895—32no—
419#895—31no—
420#895—32no—
421#895—31no—
422#895—32no—
423#895—31no—
424#895—31no—
425#895—31no—
426#895—31no—
427#895—31no—
428#895—31no—
429#895—32no—
430#895—31no—
431#895—32no—
432#895—32no—
433#895—32no—
434#895—32no—
435#895—32no—
436#895—32no—
437#895—32no—
438#895—32no—
439#895—61no—
440#895—61no—
441#895C2×D311yescharacteristic, complemented
442#894—31no—
443#893—32no—
444#893—32no—
445D3×C4⋊C4C2×D311yescharacteristic, complemented
446#887C2×D311yescharacteristic, complemented
447#886—32no—
448#886—31no—
449#886—31no—
450#886C2×D312yescomplemented
451#885—32no—
452#885—32no—
453#884—32no—
454#884—32no—
455#884—32no—
456#884—32no—
457#884—32no—
458#884—32no—
459#884—32no—
460#884—31no—
461#884—32no—
462#884—32no—
463#884—32no—
464#883—31no—
465#882—32no—
466#882—32no—
467#882—32no—
468#882—31no—
469#882—32no—
470#882—32no—
471#882—32no—
472#882—32no—
473#882—32no—
474#882—32no—
475#882—31no—
476#882—32no—
477#882—32no—
478#882—31no—
479#882—62no—
480#882—62no—
481#882C2×D312yescomplemented
482#67⋊C4—32no—
483#67⋊C4—32no—
484#67⋊C4C2×D312yescomplemented
485D3×C22⋊C4—32no—
486#878—32no—
487#878—31no—
488#877C2×D312yescomplemented
489#875—31no—
490#875—32no—
491#875—32no—
492#875C2×D311yescharacteristic, complemented
493#874—32no—
494#874—32no—
495#874—31no—
496#874—31no—
497#874—31no—
498#874—61no—
499C4×D12—31no—
500C4×D12—31no—
501C4×D12—31no—
502C4×D12—31no—
503C4×D12—32no—
504C4×D12—32no—
505C4×D12—32no—
506C4×D12—32no—
507C4×D12—61no—
508C4×D12C2×D311yescharacteristic, complemented
509#872C2×D311yescharacteristic, complemented
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2412yes—
512C22×C3⋊D3—24no—
513C22×C3⋊D3—24no—
514C22×C3⋊D3—24no—
515C22×C3⋊D3—42no—
516C22×C3⋊D3—42no—
517C22×C3⋊D3—42no—
518C22×C3⋊D3C2412yes—
519C22×C3⋊D3C2411yescharacteristic
520C22×C3⋊D3C2412yes—
521C22×C3⋊D3C2411yescharacteristic
522C22×C3×D3—24no—
523C22×C3×D3—42no—
524C22×C3×D3—42no—
525C22×C3×D3C2412yes—
526C22×C3×D3C2411yescharacteristic
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2411yescharacteristic
529C2×D32—22no—
530C2×D32—22no—
531C2×D32—24no—
532C2×D32—41no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4C2×D414yescomplemented
536C2×C32×C4—42no—
537C2×C32×C4C2411yescharacteristic
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—24no—
542#638—24no—
543C2×C3⋊Dic3C2411yescharacteristic
544C2×C3⋊Dic3C2411yescharacteristic
545C4⋊(C3⋊D3)—22no—
546C4⋊(C3⋊D3)—24no—
547C4⋊(C3⋊D3)—22no—
548C4⋊(C3⋊D3)—22no—
549C4⋊(C3⋊D3)—42no—
550C4⋊(C3⋊D3)—42no—
551C4⋊(C3⋊D3)—42no—
552C4×C3⋊D3—22no—
553C4×C3⋊D3—22no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67C2×D418yescomplemented
557C2×C3×Dic3—24no—
558C2×C3×Dic3—42no—
559C2×C3×Dic3C2×D418yescomplemented
560C2×C3×Dic3C2411yescharacteristic
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2412yes—
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2412yes—
566C2×C3×Dic3C2412yes—
567C2×C3×Dic3C2411yescharacteristic
568C3×D12—22no—
569C3×D12—42no—
570C3×D12—41no—
571C3×C4×D3—22no—
572C3×C4×D3—22no—
573C3×C4×D3—42no—
574C3×C4×D3C2×D414yescomplemented
575C3×Dic6—22no—
576C3×Dic6C2×D414yescomplemented
577#627—24no—
578#627—22no—
579#626—24no—
580#626—22no—
581#626—22no—
582#626—24no—
583#626—24no—
584#626—22no—
585#626—24no—
586#626—24no—
587#626—24no—
588#626—42no—
589#626—42no—
590#626—42no—
591#626—41no—
592#626—42no—
593#625—22no—
594#624—24no—
595#624—24no—
596#624—24no—
597#624—24no—
598#624—22no—
599D3×Dic3—22no—
600D3×Dic3—24no—
601D3×Dic3—22no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—92no—
613D42—92no—
614D42—91no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—92no—
623C2×#121—91no—
624#520—31no—
625C24×C3—32no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—31no—
631C23×D3—31no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—62no—
635C23×D3—62no—
636C23×D3C22×D312yes—
637C3×#41—38no—
638C3×#41—64no—
639C2×C3×Q8—31no—
640C2×C3×Q8—31no—
641C2×C3×D4—21no—
642C2×C3×D4—32no—
643C2×C3×D4—32no—
644C2×C3×D4—32no—
645C2×C3×D4—31no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—64no—
649C2×C3×D4C22×D311yescharacteristic
650C2×C3×D4C22×D311yescharacteristic
651C22×C3×C4—22no—
652C22×C3×C4—32no—
653C22×C3×C4—31no—
654C22×C3×C4—32no—
655C22×C3×C4—32no—
656C22×C3×C4—31no—
657C22×C3×C4—31no—
658C22×C3×C4—32no—
659C22×C3×C4C22×D312yes—
660C22×C3×C4C22×D312yes—
661C2×#67—32no—
662C2×#67—32no—
663C2×#67—32no—
664C2×#67—32no—
665C2×#67—31no—
666C2×#67—31no—
667C2×#67—32no—
668C2×#67—32no—
669C2×#67—31no—
670C2×#67—31no—
671C2×#67—31no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—31no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—62no—
682C2×#67—62no—
683C2×#67—68no—
684C2×#67—68no—
685C2×#67—124no—
686C2×#67C22×D312yes—
687C2×#67C22×D312yes—
688C2×#67C22×D312yes—
689C22×Dic3—32no—
690C22×Dic3—31no—
691C22×Dic3—31no—
692C22×Dic3C22×D312yes—
693C22×Dic3C22×D312yes—
694C22×Dic3C22×D312yes—
695#239—64no—
696#239—64no—
697#239—64no—
698#239—64no—
699D3×Q8—64no—
700D3×Q8—64no—
701#237—24no—
702#237—68no—
703#237—68no—
704#237—68no—
705#237—64no—
706#237D1218yescomplemented
707D3×D4—24no—
708D3×D4—68no—
709D3×D4—68no—
710D3×D4—68no—
711D3×D4—64no—
712D3×D4—64no—
713D3×D4—64no—
714D3×D4—64no—
715D3×D4—68no—
716D3×D4—68no—
717D3×D4—64no—
718D3×D4—124no—
719D3×D4—124no—
720D3×D4—124no—
721#235—64no—
722#235—64no—
723#235—68no—
724#235—68no—
725#235—68no—
726#235—64no—
727#235—64no—
728#235—64no—
729C2×D12—32no—
730C2×D12—31no—
731C2×D12—32no—
732C2×D12—32no—
733C2×D12—32no—
734C2×D12—32no—
735C2×D12—31no—
736C2×D12—32no—
737C2×D12—31no—
738C2×D12—31no—
739C2×D12—31no—
740C2×D12—32no—
741C2×D12—31no—
742C2×D12—31no—
743C2×D12—31no—
744C2×D12—31no—
745C2×D12—32no—
746C2×D12—31no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—61no—
758C2×D12—61no—
759C2×D12—61no—
760C2×D12—62no—
761C2×D12—62no—
762C2×D12—62no—
763C2×D12—62no—
764C2×D12—64no—
765C2×D12—68no—
766C2×D12—124no—
767C2×D12—124no—
768C2×D12—124no—
769C2×D12—124no—
770C2×D12—128no—
771C2×D12C22×D311yescharacteristic
772C2×D12C22×D311yescharacteristic
773C2×D12C22×D312yes—
774C2×C4×D3—32no—
775C2×C4×D3—31no—
776C2×C4×D3—31no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—31no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—31no—
790C2×C4×D3—32no—
791C2×C4×D3—61no—
792C2×C4×D3—61no—
793C2×C4×D3—64no—
794C2×C4×D3—68no—
795C2×C4×D3—68no—
796C2×C4×D3—64no—
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D311yescharacteristic
799C2×C4×D3C22×D312yes—
800C2×C4×D3C22×D311yescharacteristic
801C2×Dic6—32no—
802C2×Dic6—32no—
803C2×Dic6—31no—
804C2×Dic6—31no—
805C2×Dic6C22×D311yescharacteristic
806C2×Dic6C22×D311yescharacteristic
807C3×C4⋊C4—21no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4—32no—
812C3×C4⋊C4—32no—
813C3×C4⋊C4—32no—
814C3×C4⋊C4—31no—
815C3×C4⋊C4—31no—
816C3×C4⋊C4C22×D311yescharacteristic
817C3×C4⋊C4C22×D311yescharacteristic
818C3×C22⋊C4—22no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—32no—
821C3×C22⋊C4—31no—
822C3×C22⋊C4—32no—
823C3×C22⋊C4—32no—
824C3×C22⋊C4—31no—
825C3×C22⋊C4—31no—
826C3×C22⋊C4—31no—
827C3×C22⋊C4—32no—
828C3×C22⋊C4C22×D312yes—
829C3×C22⋊C4C22×D312yes—
830C3×C42—21no—
831C3×C42—32no—
832C3×C42—32no—
833C3×C42—31no—
834C3×C42C22×D311yescharacteristic
835C3×C42C22×D311yescharacteristic
836#217—32no—
837#217—31no—
838#217—31no—
839#217C22×D312yes—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—32no—
861(C2×D3)⋊C4—31no—
862(C2×D3)⋊C4—31no—
863(C2×D3)⋊C4—32no—
864(C2×D3)⋊C4—32no—
865(C2×D3)⋊C4—61no—
866(C2×D3)⋊C4—61no—
867(C2×D3)⋊C4—62no—
868(C2×D3)⋊C4—62no—
869(C2×D3)⋊C4C22×D311yescharacteristic
870(C2×D3)⋊C4C22×D311yescharacteristic
871(C2×D3)⋊C4C22×D312yes—
872(C2×D3)⋊C4C22×D312yes—
873(C2×D3)⋊C4C22×D311yescharacteristic
874(C2×D3)⋊C4C22×D311yescharacteristic
875(C2×D3)⋊C4C22×D312yes—
876(C2×D3)⋊C4C22×D312yes—
877C4⋊Dic3—31no—
878C4⋊Dic3—31no—
879C4⋊Dic3—31no—
880C4⋊Dic3—32no—
881C4⋊Dic3—31no—
882C4⋊Dic3—61no—
883C4⋊Dic3C22×D311yescharacteristic
884C4⋊Dic3C22×D311yescharacteristic
885C4⋊Dic3C22×D312yes—
886Dic3⋊C4—32no—
887Dic3⋊C4—31no—
888Dic3⋊C4—31no—
889Dic3⋊C4C22×D312yes—
890Dic3⋊C4C22×D311yescharacteristic
891Dic3⋊C4C22×D311yescharacteristic
892Dic3⋊C4C22×D312yes—
893Dic3⋊C4C22×D312yes—
894C4×Dic3C22×D312yes—
895C4×Dic3C22×D311yescharacteristic
896C4×Dic3C22×D312yes—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32C22×D414yes—
900C22×C32C2511yescharacteristic
901C2×C3⋊D3—21no—
902C2×C3⋊D3—21no—
903C2×C3⋊D3—21no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—22no—
910C2×C3⋊D3—21no—
911C2×C3⋊D3—22no—
912C2×C3⋊D3—48no—
913C2×C3⋊D3—84no—
914C2×C3⋊D3H(5,𝔽2)12yescomplemented
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—21no—
924C2×C3×D3—22no—
925C2×C3×D3—21no—
926C2×C3×D3—84no—
927C2×C3×D3C22×D412yes—
928D32—44no—
929D32—84no—
930C32×C4—21no—
931C32×C4—22no—
932C32×C4—21no—
933C32×C4C22×D412yes—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D414yes—
943C3×Dic3C22×D412yes—
944H(5,𝔽2)—188no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—91no—
948C2×#41—92no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—91no—
955C2×#41—188no—
956C22×Q8—91no—
957C22×D4—31no—
958C22×D4—91no—
959C22×D4—92no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—91no—
966C22×D4—91no—
967C22×D4—92no—
968C23×C4—92no—
969C23×C4—91no—
970#127—91no—
971#127—92no—
972#127—92no—
973#127—91no—
974#124—31no—
975#124—92no—
976#124—92no—
977#124—91no—
978#123—32no—
979#123—91no—
980#123—91no—
981#123—92no—
982C22⋊Q8—31no—
983C22⋊Q8—91no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8—92no—
988C22⋊Q8—91no—
989#121—32no—
990#121—31no—
991#121—91no—
992#121—92no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—91no—
1003#121—92no—
1004#121—91no—
1005#121—92no—
1006#121—91no—
1007#121—91no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—91no—
1013#121—91no—
1014#120—32no—
1015#120—91no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—91no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—31no—
1025C4×Q8—31no—
1026C4×D4—31no—
1027C4×D4—32no—
1028C4×D4—32no—
1029C4×D4—31no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—91no—
1037C4×D4D3211yescharacteristic, complemented
1038#117—32no—
1039#117—31no—
1040C2×C4⋊C4—32no—
1041C2×C4⋊C4—31no—
1042C2×C22⋊C4—32no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—22no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—31no—
1049C23×C3—31no—
1050C23×C3—64no—
1051C23×C3—122no—
1052C23×C3—122no—
1053C23×C3C23×D312yes—
1054C23×C3C23×D312yes—
1055C22×D3—24no—
1056C22×D3—31no—
1057C22×D3—31no—
1058C22×D3—32no—
1059C22×D3—31no—
1060C22×D3—31no—
1061C22×D3—32no—
1062C22×D3—32no—
1063C22×D3—32no—
1064C22×D3—42no—
1065C22×D3—42no—
1066C22×D3—61no—
1067C22×D3—61no—
1068C22×D3—62no—
1069C22×D3—62no—
1070C22×D3—62no—
1071C22×D3—62no—
1072C22×D3—62no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—62no—
1081C22×D3—64no—
1082C22×D3—124no—
1083C22×D3—124no—
1084C22×D3—124no—
1085C22×D3—121no—
1086C22×D3—121no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—122no—
1093C22×D3—122no—
1094C22×D3—122no—
1095C22×D3—122no—
1096C22×D3—122no—
1097C22×D3—124no—
1098C22×D3—242no—
1099C22×D3—242no—
1100C22×D3C23×D312yes—
1101C22×D3C23×D311yescharacteristic
1102C22×D3C23×D311yescharacteristic
1103C22×D3C23×D311yescharacteristic
1104C3×Q8—34no—
1105C3×Q8—62no—
1106C3×D4—24no—
1107C3×D4—38no—
1108C3×D4—64no—
1109C3×D4—64no—
1110C3×D4—62no—
1111C3×D4—122no—
1112C3×D4—121no—
1113C3×D4C2×D1214yescomplemented
1114C3×D4D3×D414yescomplemented
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—22no—
1119C2×C3×C4—38no—
1120C2×C3×C4—32no—
1121C2×C3×C4—31no—
1122C2×C3×C4—34no—
1123C2×C3×C4—32no—
1124C2×C3×C4—31no—
1125C2×C3×C4—31no—
1126C2×C3×C4—31no—
1127C2×C3×C4—31no—
1128C2×C3×C4—32no—
1129C2×C3×C4—42no—
1130C2×C3×C4—42no—
1131C2×C3×C4—44no—
1132C2×C3×C4—64no—
1133C2×C3×C4—62no—
1134C2×C3×C4—62no—
1135C2×C3×C4—122no—
1136C2×C3×C4—122no—
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D312yes—
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142C2×C3×C4C23×D312yes—
1143C2×C3×C4C23×D311yescharacteristic
1144C2×C3×C4C23×D311yescharacteristic
1145#67—24no—
1146#67—24no—
1147#67—64no—
1148#67—62no—
1149#67—62no—
1150#67—64no—
1151#67—62no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—62no—
1157#67—64no—
1158#67—64no—
1159#67—62no—
1160#67—64no—
1161#67—64no—
1162#67—124no—
1163#67—124no—
1164#67—122no—
1165#67—122no—
1166#67—121no—
1167#67—122no—
1168#67—122no—
1169#67C2×D1218yescomplemented
1170C2×Dic3—24no—
1171C2×Dic3—31no—
1172C2×Dic3—31no—
1173C2×Dic3—31no—
1174C2×Dic3—31no—
1175C2×Dic3—42no—
1176C2×Dic3—61no—
1177C2×Dic3—61no—
1178C2×Dic3—62no—
1179C2×Dic3—62no—
1180C2×Dic3—64no—
1181C2×Dic3C2×D1218yescomplemented
1182C2×Dic3C23×D311yescharacteristic
1183C2×Dic3C23×D311yescharacteristic
1184C2×Dic3C23×D312yes—
1185C2×Dic3C23×D311yescharacteristic
1186C2×Dic3C23×D312yes—
1187C2×Dic3C23×D311yescharacteristic
1188C2×Dic3C23×D312yes—
1189C2×Dic3C23×D311yescharacteristic
1190D12—22no—
1191D12—42no—
1192D12—41no—
1193D12—62no—
1194D12—62no—
1195D12—64no—
1196D12—64no—
1197D12—64no—
1198D12—62no—
1199D12—64no—
1200D12—64no—
1201D12—64no—
1202D12—64no—
1203D12—64no—
1204D12—62no—
1205D12—62no—
1206D12—64no—
1207D12—62no—
1208D12—62no—
1209D12—62no—
1210D12—62no—
1211D12—122no—
1212D12—122no—
1213D12—124no—
1214D12—122no—
1215D12—122no—
1216D12—122no—
1217D12—122no—
1218D12—122no—
1219D12—122no—
1220D12—124no—
1221D12—124no—
1222D12—121no—
1223D12—122no—
1224D12—122no—
1225D12—122no—
1226D12—122no—
1227D12—242no—
1228C4×D3—22no—
1229C4×D3—22no—
1230C4×D3—42no—
1231C4×D3—62no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—62no—
1237C4×D3—64no—
1238C4×D3—62no—
1239C4×D3—62no—
1240C4×D3—62no—
1241C4×D3—62no—
1242C4×D3—62no—
1243C4×D3—62no—
1244C4×D3—64no—
1245C4×D3—64no—
1246C4×D3—64no—
1247C4×D3—64no—
1248C4×D3—122no—
1249C4×D3—122no—
1250C4×D3C2×D1214yescomplemented
1251Dic6—22no—
1252Dic6—62no—
1253Dic6—64no—
1254Dic6—62no—
1255Dic6—64no—
1256Dic6C2×D1214yescomplemented
1257C2×C32—24no—
1258C2×C32C23×D411yescharacteristic
1259C2×C32C2×H(5,𝔽2)11yescharacteristic
1260C2×C32#58511yescharacteristic
1261C3⋊D3—22no—
1262C3⋊D3—41no—
1263C3⋊D3—42no—
1264C3⋊D3—42no—
1265C3×D3—22no—
1266C3×D3—41no—
1267C3×D3—42no—
1268C3×D3—41no—
1269C24—32no—
1270C24—91no—
1271C24—92no—
1272C24—92no—
1273C24—92no—
1274#41—38no—
1275#41—64no—
1276#41—184no—
1277#41—188no—
1278#41—188no—
1279#41—184no—
1280#41—188no—
1281#41—184no—
1282#41—184no—
1283#41—184no—
1284C2×Q8—31no—
1285C2×Q8—31no—
1286C2×Q8—91no—
1287C2×Q8—92no—
1288C2×Q8—184no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—31no—
1293C2×D4—31no—
1294C2×D4—32no—
1295C2×D4—64no—
1296C2×D4—91no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—91no—
1300C2×D4—91no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—91no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—91no—
1311C2×D4—92no—
1312C2×D4—92no—
1313C2×D4—92no—
1314C2×D4—91no—
1315C2×D4—91no—
1316C2×D4—91no—
1317C2×D4—92no—
1318C2×D4—92no—
1319C2×D4—92no—
1320C2×D4—184no—
1321C2×D4—188no—
1322C2×D4—188no—
1323C2×D4—188no—
1324C2×D4—188no—
1325C2×D4—184no—
1326C2×D4—184no—
1327C2×D4—364no—
1328C2×D4—364no—
1329C2×D4—364no—
1330C2×D4C2×D3211yescharacteristic
1331C22×C4—32no—
1332C22×C4—31no—
1333C22×C4—32no—
1334C22×C4—32no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—32no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—91no—
1342C22×C4—92no—
1343C22×C4—91no—
1344C22×C4—92no—
1345C22×C4—91no—
1346C22×C4—91no—
1347C22×C4—91no—
1348C22×C4—188no—
1349C22×C4—184no—
1350C22×C4C2×D3212yes—
1351C4⋊C4—32no—
1352C4⋊C4—31no—
1353C4⋊C4—32no—
1354C4⋊C4—32no—
1355C4⋊C4—31no—
1356C4⋊C4—31no—
1357C4⋊C4—31no—
1358C4⋊C4—32no—
1359C4⋊C4—91no—
1360C4⋊C4—92no—
1361C4⋊C4—91no—
1362C4⋊C4—91no—
1363C4⋊C4C2×D3211yescharacteristic
1364C22⋊C4—32no—
1365C22⋊C4—31no—
1366C22⋊C4—32no—
1367C22⋊C4—32no—
1368C22⋊C4—32no—
1369C22⋊C4—31no—
1370C22⋊C4—31no—
1371C22⋊C4—31no—
1372C22⋊C4—32no—
1373C22⋊C4—92no—
1374C22⋊C4—91no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—91no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4—91no—
1382C22⋊C4—91no—
1383C22⋊C4—92no—
1384C22⋊C4—91no—
1385C22⋊C4—91no—
1386C22⋊C4—92no—
1387C22⋊C4C2×D3212yes—
1388C42—32no—
1389C42—32no—
1390C42—31no—
1391C42C2×D3211yescharacteristic
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—24no—
1397C22×C3—21no—
1398C22×C3—32no—
1399C22×C3—42no—
1400C22×C3—42no—
1401C22×C3—61no—
1402C22×C3—61no—
1403C22×C3—61no—
1404C22×C3—62no—
1405C22×C3—61no—
1406C22×C3—61no—
1407C22×C3—62no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—61no—
1412C22×C3—244no—
1413C22×C3C22×D1214yes—
1414C22×C3C2×D3×D414yes—
1415C22×C3C24×D311yescharacteristic
1416C22×C3C24×D311yescharacteristic
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—21no—
1420C2×D3—21no—
1421C2×D3—22no—
1422C2×D3—21no—
1423C2×D3—21no—
1424C2×D3—22no—
1425C2×D3—21no—
1426C2×D3—22no—
1427C2×D3—21no—
1428C2×D3—32no—
1429C2×D3—32no—
1430C2×D3—62no—
1431C2×D3—61no—
1432C2×D3—61no—
1433C2×D3—61no—
1434C2×D3—61no—
1435C2×D3—62no—
1436C2×D3—62no—
1437C2×D3—61no—
1438C2×D3—62no—
1439C2×D3—62no—
1440C2×D3—62no—
1441C2×D3—61no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—61no—
1445C2×D3—61no—
1446C2×D3—61no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—62no—
1450C2×D3—62no—
1451C2×D3—62no—
1452C2×D3—62no—
1453C2×D3—61no—
1454C2×D3—84no—
1455C2×D3—121no—
1456C2×D3—121no—
1457C2×D3—121no—
1458C2×D3—121no—
1459C2×D3—122no—
1460C2×D3—122no—
1461C2×D3—122no—
1462C2×D3—122no—
1463C2×D3—122no—
1464C2×D3—122no—
1465C2×D3—124no—
1466C2×D3—124no—
1467C2×D3—128no—
1468C2×D3—128no—
1469C2×D3—248no—
1470C2×D3—244no—
1471C2×D3—244no—
1472C2×D3—244no—
1473C2×D3—244no—
1474C2×D3—248no—
1475C2×D3C22×D1212yes—
1476C3×C4—22no—
1477C3×C4—21no—
1478C3×C4—22no—
1479C3×C4—22no—
1480C3×C4—21no—
1481C3×C4—21no—
1482C3×C4—21no—
1483C3×C4—22no—
1484C3×C4—32no—
1485C3×C4—34no—
1486C3×C4—42no—
1487C3×C4—41no—
1488C3×C4—61no—
1489C3×C4—62no—
1490C3×C4—61no—
1491C3×C4—61no—
1492C3×C4—62no—
1493C3×C4—61no—
1494C3×C4C22×D1212yes—
1495C3×C4C2×D3×D412yes—
1496Dic3—22no—
1497Dic3—21no—
1498Dic3—21no—
1499Dic3—22no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—61no—
1503Dic3—61no—
1504Dic3—61no—
1505Dic3—61no—
1506Dic3—121no—
1507Dic3—121no—
1508Dic3C22×D1214yes—
1509Dic3C22×D1212yes—
1510C32#348811yescharacteristic, complemented, Sylow
1511C23—31no—
1512C23—31no—
1513C23—32no—
1514C23—31no—
1515C23—64no—
1516C23—91no—
1517C23—91no—
1518C23—92no—
1519C23—92no—
1520C23—122no—
1521C23—122no—
1522C23—184no—
1523C23—182no—
1524C23—184no—
1525C23—182no—
1526C23—184no—
1527C23—184no—
1528C23—362no—
1529C23—362no—
1530C23—362no—
1531C23—361no—
1532C23—362no—
1533C23—362no—
1534C23C22×D3212yes—
1535Q8—34no—
1536Q8—62no—
1537Q8—184no—
1538Q8—182no—
1539D4—38no—
1540D4—64no—
1541D4—64no—
1542D4—62no—
1543D4—122no—
1544D4—121no—
1545D4—182no—
1546D4—184no—
1547D4—182no—
1548D4—184no—
1549D4—184no—
1550D4—184no—
1551D4—184no—
1552D4—182no—
1553D4—184no—
1554D4—184no—
1555D4—182no—
1556D4—182no—
1557D4—184no—
1558D4—184no—
1559D4—182no—
1560D4—182no—
1561D4—362no—
1562D4—362no—
1563D4—362no—
1564D4—362no—
1565D4—362no—
1566D4—362no—
1567D4—361no—
1568D4—362no—
1569D4D3×D1214yescomplemented
1570C2×C4—38no—
1571C2×C4—32no—
1572C2×C4—31no—
1573C2×C4—34no—
1574C2×C4—31no—
1575C2×C4—32no—
1576C2×C4—31no—
1577C2×C4—31no—
1578C2×C4—32no—
1579C2×C4—31no—
1580C2×C4—42no—
1581C2×C4—64no—
1582C2×C4—62no—
1583C2×C4—62no—
1584C2×C4—91no—
1585C2×C4—91no—
1586C2×C4—122no—
1587C2×C4—122no—
1588C2×C4—182no—
1589C2×C4—184no—
1590C2×C4—184no—
1591C2×C4—184no—
1592C2×C4—184no—
1593C2×C4—182no—
1594C2×C4—184no—
1595C2×C4—182no—
1596C2×C4—182no—
1597C2×C4—182no—
1598C2×C4C22×D3211yescharacteristic
1599C2×C4C22×D3212yes—
1600C2×C4C22×D3211yescharacteristic
1601C2×C4C22×D3211yescharacteristic
1602C2×C3—24no—
1603C2×C3—24no—
1604C2×C3—21no—
1605C2×C3—21no—
1606C2×C3—21no—
1607C2×C3—44no—
1608C2×C3—62no—
1609C2×C3—121no—
1610C2×C3—122no—
1611C2×C3—121no—
1612C2×C3C23×D1211yescharacteristic
1613C2×C3C22×D3×D411yescharacteristic
1614C2×C3#596411yescharacteristic
1615C2×C3D3×H(5,𝔽2)11yescharacteristic
1616C2×C3D3×H(5,𝔽2)11yescharacteristic
1617C2×C3#596811yescharacteristic
1618D3—22no—
1619D3—41no—
1620D3—42no—
1621D3—41no—
1622D3—62no—
1623D3—62no—
1624D3—122no—
1625D3—122no—
1626D3—122no—
1627D3—121no—
1628D3—122no—
1629D3—122no—
1630D3—121no—
1631D3—122no—
1632D3—242no—
1633D3—242no—
1634C22—22no—
1635C22—22no—
1636C22—32no—
1637C22—61no—
1638C22—61no—
1639C22—61no—
1640C22—61no—
1641C22—62no—
1642C22—61no—
1643C22—62no—
1644C22—61no—
1645C22—61no—
1646C22—61no—
1647C22—62no—
1648C22—92no—
1649C22—181no—
1650C22—181no—
1651C22—182no—
1652C22—181no—
1653C22—182no—
1654C22—181no—
1655C22—182no—
1656C22—182no—
1657C22—182no—
1658C22—181no—
1659C22—182no—
1660C22—244no—
1661C22—368no—
1662C22—364no—
1663C22—724no—
1664C22—724no—
1665C22C2×D3×D1214yes—
1666C22C23×D3211yescharacteristic
1667C4—21no—
1668C4—22no—
1669C4—21no—
1670C4—32no—
1671C4—34no—
1672C4—61no—
1673C4—61no—
1674C4—62no—
1675C4—62no—
1676C4—61no—
1677C4—61no—
1678C4—181no—
1679C4—181no—
1680C4C2×D3×D1212yes—
1681C3—21no—
1682C3#8590011yescharacteristic, complemented
1683C3#8662911yescharacteristic, complemented
1684C2—24no—
1685C2—62no—
1686C2—121no—
1687C2—122no—
1688C2—121no—
1689C2—182no—
1690C2—362no—
1691C2—361no—
1692C2—362no—
1693C2C22×D3×D1211yescharacteristic
1694C2#1059667511yescharacteristic
1695C2#1059669711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×D4C22
hypercenterC4×D4D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C2×#64312C2semidirect
3. D4×C4⋊(C3⋊D3)C2semidirect
4. C3×#5554C2semidirect
5. C3×#5546C2semidirect
6. #10595254C2semidirect
7. D4×#626C2semidirect
8. #10595074C2semidirect
9. #10595073C2semidirect
10. C2×#63910C2semidirect
11. #10594911C2semidirect
12. D3×#895C2semidirect
13. #10594524C2semidirect
14. #10594523C2semidirect
15. #10594329C2semidirect
16. #10594293C2semidirect
17. #10594277C2semidirect
18. #10594080C2semidirect
19. #10594079C2semidirect
20. #10594001C2semidirect
21. #10593997C2semidirect
22. #10593902C2semidirect
23. #10593901C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C22×C4⋊(C3⋊D3)C22semidirect
30. C2×C3×#237C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C2×#3811C22semidirect
33. C2×#3811C22semidirect
34. C2×D3×#67C22semidirect
35. C22×#626C22semidirect
36. C22×#626C22semidirect
37. C22×#624C22semidirect
38. C2×#3804C22semidirect
39. C2×#3804C22semidirect
40. C2×#3804C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3799C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3798C22semidirect
50. C2×#3797C22semidirect
51. C2×#3796C22semidirect
52. C32×C4×D4C22semidirect
53. #64139C22semidirect
54. #64104C22semidirect
55. #64104C22semidirect
56. #64091C22semidirect
57. #64091C22semidirect
58. #64083C22semidirect
59. C4×C4⋊(C3⋊D3)C22semidirect
60. C3×D4×Dic3C22semidirect
61. C3×#930C22semidirect
62. C3×C4×#67C22semidirect
63. C2×C3×(C2×D3)⋊C4C22semidirect
64. C2×C3×Dic3⋊C4C22semidirect
65. C3×#897C22semidirect
66. C3×#895C22semidirect
67. C3×D3×C4⋊C4C22semidirect
68. C3×#887C22semidirect
69. C3×#886C22semidirect
70. C3×#882C22semidirect
71. C3×#67⋊C4C22semidirect
72. C3×#877C22semidirect
73. C3×#875C22semidirect
74. C3×C4×D12C22semidirect
75. C3×#872C22semidirect
76. C3×C4×Dic6C22semidirect
77. #63981C22semidirect
78. #63981C22semidirect
79. #63978C22semidirect
80. #63978C22semidirect
81. #63977C22semidirect
82. #63966C22semidirect
83. C2×#3722C22semidirect
84. #63923C22semidirect
85. #63923C22semidirect
86. #63923C22semidirect
87. #63922C22semidirect
88. D3×(C2×D3)⋊C4C22semidirect
89. #63916C22semidirect
90. #63911C22semidirect
91. #63911C22semidirect
92. #63911C22semidirect
93. #63910C22semidirect
94. #63910C22semidirect
95. #63910C22semidirect
96. #63910C22semidirect
97. #63910C22semidirect
98. #63910C22semidirect
99. #63910C22semidirect
100. #63910C22semidirect
101. #63910C22semidirect
102. #63910C22semidirect
103. #63909C22semidirect
104. #63909C22semidirect
105. #63909C22semidirect
106. #63906C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. #63895C22semidirect
110. #63895C22semidirect
111. #63895C22semidirect
112. #63894C22semidirect
113. #63894C22semidirect
114. #63893C22semidirect
115. #63893C22semidirect
116. #63891C22semidirect
117. #63890C22semidirect
118. #63886C22semidirect
119. #63886C22semidirect
120. #63886C22semidirect
121. #63880C22semidirect
122. #63880C22semidirect
123. #63871C22semidirect
124. #63864C22semidirect
125. #63852C22semidirect
126. #63852C22semidirect
154. #5554D3semidirect
163. #5546D3semidirect
202. C3×#237D4semidirect
319. C2×#237C2×D3semidirect
333. C2×D3×D4C2×D3semidirect
366. C3×C4×D4C2×D3semidirect
367. C3×C4×D4C2×D3semidirect
388. D4×Dic3C2×D3semidirect
398. #930C2×D3semidirect
402. C4×#67C2×D3semidirect
406. C2×(C2×D3)⋊C4C2×D3semidirect
407. C2×Dic3⋊C4C2×D3semidirect
414. #897C2×D3semidirect
441. #895C2×D3semidirect
445. D3×C4⋊C4C2×D3semidirect
446. #887C2×D3semidirect
450. #886C2×D3semidirect
481. #882C2×D3semidirect
484. #67⋊C4C2×D3semidirect
488. #877C2×D3semidirect
492. #875C2×D3semidirect
508. C4×D12C2×D3semidirect
509. #872C2×D3semidirect
510. C4×Dic6C2×D3semidirect
535. C32×D4C2×D4semidirect
556. C3×#67C2×D4semidirect
559. C2×C3×Dic3C2×D4semidirect
574. C3×C4×D3C2×D4semidirect
576. C3×Dic6C2×D4semidirect
706. #237D12semidirect
914. C2×C3⋊D3H(5,𝔽2)semidirect
1037. C4×D4D32semidirect
1113. C3×D4C2×D12semidirect
1114. C3×D4D3×D4semidirect
1169. #67C2×D12semidirect
1181. C2×Dic3C2×D12semidirect
1250. C4×D3C2×D12semidirect
1256. Dic6C2×D12semidirect
1510. C32#3488semidirect
1569. D4D3×D12semidirect
1682. C3#85900semidirect
1683. C3#86629semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C2×#643122
D4×C4⋊(C3⋊D3)2
C3×#55542
C3×#55462
#105952542
D4×#6262
#105950742
#105950732
C2×#639102
#105949112
D3×#8952
#105945242
#105945232
#105943292
#105942932
#105942772
#105940802
#105940792
#105940012
#105939972
#105939022
#105939012
#866293
#859003