Finite Group Databasebeta

← #11904631

Subgroups — #11904631

Order 1152.

3483 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C2×D3×#237C211yesmaximal, characteristic, complemented
3#10596025C211yesmaximal, characteristic, complemented
4C3×D4×D12C211yesmaximal, characteristic, complemented
5C3×#5546C211yesmaximal, characteristic, complemented
6#10595246C211yesmaximal, characteristic, complemented
7D4×#626C211yesmaximal, characteristic, complemented
8#10595075C212yesmaximal, complemented
9D12×#67C212yesmaximal, complemented
10#10594911C212yesmaximal, complemented
11C2×#63886C212yesmaximal, complemented
12D3×#895C211yesmaximal, characteristic, complemented
13#10594524C211yesmaximal, characteristic, complemented
14#10594522C211yesmaximal, characteristic, complemented
15#10594382C211yesmaximal, characteristic, complemented
16#10594292C212yesmaximal, complemented
17#10594277C212yesmaximal, complemented
18#10594080C212yesmaximal, complemented
19#10594078C212yesmaximal, complemented
20#10594000C211yesmaximal, characteristic, complemented
21#10593997C211yesmaximal, characteristic, complemented
22#10593900C211yesmaximal, characteristic, complemented
23#10593899C211yesmaximal, characteristic, complemented
24#86607—31nomaximal
25#85900—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C22×C3×D12C2212yescomplemented
32C2×#3811C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C22×#626C2212yescomplemented
36C22×#626C2212yescomplemented
37C2×#3805C2212yescomplemented
38C2×#3804C2212yescomplemented
39C2×#3804C2212yescomplemented
40C22×D3×Dic3C2212yescomplemented
41#64314—28no—
42D3×#237—28no—
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×C4×D32C2211yescharacteristic, complemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3798C2211yescharacteristic, complemented
48C2×#3796C2211yescharacteristic, complemented
49C2×#3796C2211yescharacteristic, complemented
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64139C2212yescomplemented
54C2×#3752C2212yescomplemented
55#64106C2211yescharacteristic, complemented
56#64104C2211yescharacteristic, complemented
57#64095C2212yescomplemented
58#64091C2212yescomplemented
59#64084C2211yescharacteristic, complemented
60C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
61C3×D4×Dic3C2211yescharacteristic, complemented
62C3×#930C2212yescomplemented
63C3×C4×#67C2212yescomplemented
64C2×C3×Dic3⋊C4C2212yescomplemented
65C3×#895C2211yescharacteristic, complemented
66C3×#895C2211yescharacteristic, complemented
67C3×D3×C4⋊C4C2211yescharacteristic, complemented
68C3×#887C2211yescharacteristic, complemented
69C3×#882C2212yescomplemented
70C3×#882C2212yescomplemented
71C3×#67⋊C4C2212yescomplemented
72C3×#877C2212yescomplemented
73C3×#874C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×#872C2211yescharacteristic, complemented
76C3×C4×Dic6C2211yescharacteristic, complemented
77#63981C2212yescomplemented
78#63978C2212yescomplemented
79#63978C2212yescomplemented
80#63977C2212yescomplemented
81#63977C2212yescomplemented
82#63962C2212yescomplemented
83C2×(C2×D3)⋊Dic3C2212yescomplemented
84#63923C2211yescharacteristic, complemented
85#63922C2212yescomplemented
86#63922C2211yescharacteristic, complemented
87#63922C2212yescomplemented
88D3×(C2×D3)⋊C4C2212yescomplemented
89#63916C2211yescharacteristic, complemented
90#63916C2211yescharacteristic, complemented
91#63911C2212yescomplemented
92#63911C2212yescomplemented
93#63911C2211yescharacteristic, complemented
94#63910C2211yescharacteristic, complemented
95#63910C2212yescomplemented
96#63910C2212yescomplemented
97#63909C2211yescharacteristic, complemented
98#63908C2212yescomplemented
99#63906C2212yescomplemented
100C4×#626C2211yescharacteristic, complemented
101C4×#626C2211yescharacteristic, complemented
102#63895C2212yescomplemented
103#63895C2211yescharacteristic, complemented
104#63893C2211yescharacteristic, complemented
105#63893C2212yescomplemented
106#63893C2212yescomplemented
107Dic3×D12C2212yescomplemented
108Dic3×D12C2212yescomplemented
109#63891C2211yescharacteristic, complemented
110#63890C2211yescharacteristic, complemented
111#63886C2212yescomplemented
112#63886C2212yescomplemented
113#63886C2212yescomplemented
114#63886C2212yescomplemented
115#63886C2211yescharacteristic, complemented
116#63886C2212yescomplemented
117#63886C2212yescomplemented
118#63886C2212yescomplemented
119#63886C2212yescomplemented
120#63886C2212yescomplemented
121#63880C2212yescomplemented
122#63880C2212yescomplemented
123#63860C2211yescharacteristic, complemented
124#63857C2211yescharacteristic, complemented
125#63852C2212yescomplemented
126#63852C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#237—31no—
131C3×D42—31no—
132C3×#520—31no—
133#5806—31no—
134C2×#939—32no—
135D4×#67—31no—
136D4×#67—32no—
137#5718—31no—
138#5715—31no—
139#5610—32no—
140#5608—31no—
141D3×#121—31no—
142#5599—31no—
143#5598—31no—
144#5597—32no—
145#5592—32no—
146#5591—32no—
147#5590—32no—
148#5586—32no—
149#5577—31no—
150#5577—31no—
151#5576—31no—
152#5576—31no—
153#5554—31no—
154#5554—31no—
155#5554—31no—
156#5554—32no—
157#5554—32no—
158#5554—61no—
159#5552—31no—
160D4×D12—31no—
161D4×D12—32no—
162D4×D12—32no—
163D4×D12D311yescharacteristic, complemented
164#5547—31no—
165#5546D311yescharacteristic, complemented
166#5525—32no—
167#5525—31no—
168#5524—32no—
169#5524—31no—
170#5510—32no—
171#5510—31no—
172C2×#895—32no—
173C2×#895—31no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2312yes—
181C2×#638C2312yes—
182C2×#638C2312yes—
183C22×C3⋊Dic3C2312yes—
184#3830—24no—
185D4×C3⋊D3—24no—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2312yes—
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4×C3⋊D3C2311yescharacteristic
190C2×C4×C3⋊D3C2311yescharacteristic
191C2×#634C2311yescharacteristic
192C2×C3×#67C2312yes—
193C2×C3×#67C2312yes—
194C2×C3×#67C2312yes—
195C22×C3×Dic3C2312yes—
196C22×C3×Dic3C2312yes—
197C3×#237D418yescomplemented
198C3×D3×D4—24no—
199C3×D3×D4—24no—
200C2×C3×D12—44no—
201C2×C3×D12C2312yes—
202C2×C3×D12C2311yescharacteristic
203C2×C3×D12C2311yescharacteristic
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2312yes—
206C2×C3×D12C2312yes—
207C2×C3×D12C2312yes—
208C2×C3×C4×D3C2311yescharacteristic
209C2×C3×C4×D3C2311yescharacteristic
210C2×C3×C4×D3C2312yes—
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×Dic6C2311yescharacteristic
213#3811—28no—
214D3×#67—28no—
215D3×#67—28no—
216C2×#627C2312yes—
217C2×#627C2311yescharacteristic
218C2×#626—28no—
219C2×#626—44no—
220C2×#626C2312yes—
221C2×#626C2312yes—
222C2×#626C2311yescharacteristic
223C2×#626C2311yescharacteristic
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2311yescharacteristic
233C2×#625C2312yes—
234C2×#625C2311yescharacteristic
235C2×#624C2312yes—
236C2×#624C2311yescharacteristic
237#3805—28no—
238#3804—28no—
239#3804—28no—
240C2×D3×Dic3—28no—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2311yescharacteristic
246C2×D3×Dic3C2311yescharacteristic
247D3×D12—24no—
248D3×D12—44no—
249C4×D32—24no—
250#3799—24no—
251#3798—24no—
252#3796—24no—
253#3796—24no—
254#3795—24no—
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258C32×C42C2311yescharacteristic
259#3752C2311yescharacteristic
260#3752C2311yescharacteristic
261#3752C2312yes—
262#3752C2312yes—
263#3752C2312yes—
264#3752C2312yes—
265C4⋊(C3⋊Dic3)C2311yescharacteristic
266C4⋊(C3⋊Dic3)C2312yes—
267C3×#217C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×C4⋊Dic3C2311yescharacteristic
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#3722C2311yescharacteristic
288#3722C2312yes—
289#3722C2311yescharacteristic
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296(C2×D3)⋊Dic3C2311yescharacteristic
297#3488—91noSylow
298C2×C3×#41—31no—
299C22×C3×D4—31no—
300C22×C3×D4—31no—
301C22×C3×D4—32no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C23×Dic3—32no—
307#1009—68no—
308D3×#41—68no—
309C2×#239—31no—
310C2×#239—31no—
311C2×#239—31no—
312C2×D3×Q8—31no—
313#1004—68no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—32no—
317C2×#237—32no—
318C2×#237—32no—
319C2×#237—32no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—31no—
323C2×#237—61no—
324C2×#237—68no—
325C2×#237C2×D311yescharacteristic
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—61no—
335C2×D3×D4C2×D311yescharacteristic, complemented
336C2×D3×D4C2×D311yescharacteristic, complemented
337C2×#235—32no—
338C2×#235—32no—
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—31no—
343C22×D12—32no—
344C22×D12—32no—
345C22×D12—31no—
346C22×D12—32no—
347C22×D12C2×D312yescomplemented
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×Dic6—31no—
352C3×#127—31no—
353C3×#121—32no—
354C3×#121—31no—
355C3×#121—31no—
356C3×#120—32no—
357C3×#120—32no—
358C3×C4×Q8—31no—
359C3×C4×Q8—31no—
360C3×C4×D4—21no—
361C3×C4×D4—31no—
362C3×C4×D4—32no—
363C3×C4×D4—32no—
364C3×C4×D4—31no—
365C3×C4×D4C2×D311yescharacteristic, complemented
366C3×C4×D4C2×D311yescharacteristic, complemented
367C3×#117—32no—
368C3×#117—31no—
369C2×C3×C4⋊C4—32no—
370C2×C3×C4⋊C4—31no—
371#953—32no—
372#953—32no—
373C2×#217—32no—
374#940—31no—
375#940—32no—
376#940—32no—
377#939—32no—
378#939—32no—
379#939—32no—
380#939—32no—
381#939—32no—
382#939—32no—
383#939—32no—
384#939—31no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#938—32no—
390#938—31no—
391#938—31no—
392#937—32no—
393#937—32no—
394#937—32no—
395#937—31no—
396#936—31no—
397#935—32no—
398D4×Dic3—32no—
399D4×Dic3—32no—
400D4×Dic3C2×D311yescharacteristic, complemented
401#930—32no—
402#930—32no—
403#930—32no—
404#930—32no—
405#930—32no—
406#930—32no—
407#930—31no—
408#930—62no—
409#930C2×D312yescomplemented
410C4×#67—31no—
411C4×#67—31no—
412C4×#67C2×D312yescomplemented
413C2×(C2×D3)⋊C4—32no—
414C2×(C2×D3)⋊C4—32no—
415C2×(C2×D3)⋊C4—32no—
416C2×(C2×D3)⋊C4—32no—
417C2×(C2×D3)⋊C4—62no—
418#924—31no—
419C2×Dic3⋊C4C2×D312yescomplemented
420#897—31no—
421#897—31no—
422#897—31no—
423#897—32no—
424#897—32no—
425#897—31no—
426#897—31no—
427#897—32no—
428#897—61no—
429#896—31no—
430#896—32no—
431#895—32no—
432#895—31no—
433#895—32no—
434#895—32no—
435#895—32no—
436#895—32no—
437#895—32no—
438#895—32no—
439#895—31no—
440#895—32no—
441#895—31no—
442#895—32no—
443#895—31no—
444#895—31no—
445#895—31no—
446#895—32no—
447#895—32no—
448#895—31no—
449#895—61no—
450#895C2×D311yescharacteristic, complemented
451#895C2×D311yescharacteristic, complemented
452#894—31no—
453D3×C4⋊C4C2×D311yescharacteristic, complemented
454#887C2×D311yescharacteristic, complemented
455#886—32no—
456#886—32no—
457#886—32no—
458#886—31no—
459#886—31no—
460#886—62no—
461#885—32no—
462#885—32no—
463#884—32no—
464#884—31no—
465#884—32no—
466#884—32no—
467#883—31no—
468#882—32no—
469#882—32no—
470#882—32no—
471#882—31no—
472#882—32no—
473#882—32no—
474#882—32no—
475#882—32no—
476#882—31no—
477#882—31no—
478#882—62no—
479#882C2×D312yescomplemented
480#882C2×D312yescomplemented
481#67⋊C4—32no—
482#67⋊C4—32no—
483#67⋊C4C2×D312yescomplemented
484D3×C22⋊C4—32no—
485#878—31no—
486#878—32no—
487#878—32no—
488#877C2×D312yescomplemented
489#875—31no—
490#875—31no—
491#875—31no—
492#875—32no—
493#875—32no—
494#875—61no—
495#874—32no—
496#874—32no—
497#874—31no—
498#874C2×D311yescharacteristic, complemented
499C4×D12—32no—
500C4×D12—32no—
501C4×D12—31no—
502C4×D12—31no—
503C4×D12—31no—
504C4×D12—31no—
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—42no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3C2412yes—
516C22×C3⋊D3C2411yescharacteristic
517C22×C3⋊D3C2411yescharacteristic
518C22×C3×D3—24no—
519C22×C3×D3—24no—
520C22×C3×D3—24no—
521C22×C3×D3—42no—
522C22×C3×D3—42no—
523C22×C3×D3—42no—
524C22×C3×D3C2412yes—
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2412yes—
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⋊Dic3—24no—
544C2×C3⋊Dic3C2411yescharacteristic
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2412yes—
547C4⋊(C3⋊D3)—22no—
548C4⋊(C3⋊D3)—41no—
549C4⋊(C3⋊D3)—42no—
550C4×C3⋊D3—22no—
551C4×C3⋊D3—22no—
552#634—22no—
553C3×#67—24no—
554C3×#67—24no—
555C3×#67C2×D418yescomplemented
556C2×C3×Dic3—42no—
557C2×C3×Dic3C2×D418yescomplemented
558C2×C3×Dic3C2411yescharacteristic
559C2×C3×Dic3C2411yescharacteristic
560C2×C3×Dic3C2412yes—
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2412yes—
564C2×C3×Dic3C2411yescharacteristic
565C3×D12—24no—
566C3×D12—22no—
567C3×D12—22no—
568C3×D12—22no—
569C3×D12—42no—
570C3×D12—42no—
571C3×D12—42no—
572C3×C4×D3—22no—
573C3×C4×D3—22no—
574C3×C4×D3—42no—
575C3×C4×D3C2×D414yescomplemented
576C3×Dic6C2×D414yescomplemented
577#627—24no—
578#627—22no—
579#626—22no—
580#626—24no—
581#626—22no—
582#626—24no—
583#626—24no—
584#626—22no—
585#626—24no—
586#626—24no—
587#626—42no—
588#626—42no—
589#626—42no—
590#626—42no—
591#626—41no—
592#625—24no—
593#625—22no—
594#624—24no—
595#624—22no—
596D3×Dic3—22no—
597D3×Dic3—24no—
598D3×Dic3—24no—
599D3×Dic3—24no—
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—92no—
609#546—92no—
610#546—91no—
611#546—91no—
612D42—31no—
613D42—92no—
614D42—91no—
615D42—92no—
616#537—92no—
617#537—91no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—91no—
623C2×#121—92no—
624#520—31no—
625C24×C3—32no—
626C24×C3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—31no—
630C23×D3—31no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—62no—
634C23×D3C22×D312yes—
635C23×D3C22×D312yes—
636C3×#41—38no—
637C2×C3×Q8—31no—
638C2×C3×D4—21no—
639C2×C3×D4—32no—
640C2×C3×D4—32no—
641C2×C3×D4—32no—
642C2×C3×D4—32no—
643C2×C3×D4—31no—
644C2×C3×D4—31no—
645C2×C3×D4—31no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—64no—
650C2×C3×D4—64no—
651C2×C3×D4—124no—
652C2×C3×D4C22×D311yescharacteristic
653C2×C3×D4C22×D311yescharacteristic
654C22×C3×C4—22no—
655C22×C3×C4—32no—
656C22×C3×C4—31no—
657C22×C3×C4—32no—
658C22×C3×C4—31no—
659C22×C3×C4—31no—
660C22×C3×C4—32no—
661C22×C3×C4C22×D312yes—
662C22×C3×C4C22×D312yes—
663C2×#67—32no—
664C2×#67—32no—
665C2×#67—32no—
666C2×#67—32no—
667C2×#67—32no—
668C2×#67—31no—
669C2×#67—31no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—31no—
673C2×#67—31no—
674C2×#67—31no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—31no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—62no—
685C2×#67—62no—
686C2×#67—68no—
687C2×#67—68no—
688C2×#67—68no—
689C2×#67—124no—
690C2×#67C22×D312yes—
691C2×#67C22×D312yes—
692C2×#67C22×D312yes—
693C22×Dic3—32no—
694C22×Dic3—32no—
695C22×Dic3—32no—
696C22×Dic3—31no—
697C22×Dic3—32no—
698C22×Dic3—32no—
699C22×Dic3—32no—
700C22×Dic3—31no—
701C22×Dic3—62no—
702C22×Dic3—68no—
703C22×Dic3C22×D312yes—
704C22×Dic3C22×D312yes—
705#239—64no—
706#239—64no—
707#239—64no—
708D3×Q8—64no—
709#237—68no—
710#237—64no—
711#237—64no—
712#237—68no—
713#237—68no—
714#237—68no—
715#237—64no—
716#237—64no—
717#237—64no—
718#237—124no—
719#237D1218yescomplemented
720D3×D4—24no—
721D3×D4—24no—
722D3×D4—68no—
723D3×D4—68no—
724D3×D4—68no—
725D3×D4—64no—
726D3×D4—64no—
727D3×D4—68no—
728D3×D4—64no—
729D3×D4—124no—
730D3×D4—124no—
731#235—64no—
732#235—64no—
733#235—68no—
734#235—68no—
735#235—64no—
736#235—64no—
737C2×D12—31no—
738C2×D12—32no—
739C2×D12—32no—
740C2×D12—32no—
741C2×D12—32no—
742C2×D12—31no—
743C2×D12—32no—
744C2×D12—31no—
745C2×D12—31no—
746C2×D12—31no—
747C2×D12—32no—
748C2×D12—31no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—44no—
757C2×D12—61no—
758C2×D12—61no—
759C2×D12—62no—
760C2×D12—64no—
761C2×D12—68no—
762C2×D12—124no—
763C2×D12—124no—
764C2×D12C22×D312yes—
765C2×D12C22×D311yescharacteristic
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D312yes—
769C2×D12C22×D312yes—
770C2×D12C22×D312yes—
771C2×C4×D3—32no—
772C2×C4×D3—32no—
773C2×C4×D3—32no—
774C2×C4×D3—31no—
775C2×C4×D3—31no—
776C2×C4×D3—32no—
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—31no—
784C2×C4×D3—31no—
785C2×C4×D3—61no—
786C2×C4×D3—61no—
787C2×C4×D3—64no—
788C2×C4×D3—68no—
789C2×C4×D3—64no—
790C2×C4×D3C22×D311yescharacteristic
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D312yes—
793C2×C4×D3C22×D311yescharacteristic
794C2×Dic6—31no—
795C2×Dic6—31no—
796C2×Dic6—32no—
797C2×Dic6—31no—
798C2×Dic6—32no—
799C2×Dic6—31no—
800C2×Dic6—61no—
801C2×Dic6—64no—
802C2×Dic6C22×D311yescharacteristic
803C3×C4⋊C4—21no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4—32no—
809C3×C4⋊C4—31no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4C22×D311yescharacteristic
812C3×C4⋊C4C22×D311yescharacteristic
813C3×C22⋊C4—22no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—31no—
819C3×C22⋊C4—31no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4C22×D312yes—
822C3×C22⋊C4C22×D312yes—
823C3×C42—21no—
824C3×C42—32no—
825C3×C42—32no—
826C3×C42—31no—
827C3×C42C22×D311yescharacteristic
828C3×C42C22×D311yescharacteristic
829#217—31no—
830#217—32no—
831#217—32no—
832#217—32no—
833#217—31no—
834#217—32no—
835#217—32no—
836#217C22×D312yes—
837(C2×D3)⋊C4—31no—
838(C2×D3)⋊C4—32no—
839(C2×D3)⋊C4—32no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—31no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—31no—
861(C2×D3)⋊C4—31no—
862(C2×D3)⋊C4—61no—
863(C2×D3)⋊C4—61no—
864(C2×D3)⋊C4—62no—
865(C2×D3)⋊C4—62no—
866(C2×D3)⋊C4—62no—
867(C2×D3)⋊C4—62no—
868(C2×D3)⋊C4C22×D311yescharacteristic
869(C2×D3)⋊C4C22×D311yescharacteristic
870(C2×D3)⋊C4C22×D311yescharacteristic
871(C2×D3)⋊C4C22×D312yes—
872(C2×D3)⋊C4C22×D311yescharacteristic
873(C2×D3)⋊C4C22×D312yes—
874C4⋊Dic3—31no—
875C4⋊Dic3—31no—
876C4⋊Dic3—32no—
877C4⋊Dic3—32no—
878C4⋊Dic3—31no—
879C4⋊Dic3—31no—
880C4⋊Dic3—32no—
881C4⋊Dic3—61no—
882C4⋊Dic3—62no—
883C4⋊Dic3C22×D311yescharacteristic
884C4⋊Dic3C22×D311yescharacteristic
885Dic3⋊C4—31no—
886Dic3⋊C4—31no—
887Dic3⋊C4—32no—
888Dic3⋊C4C22×D312yes—
889Dic3⋊C4C22×D311yescharacteristic
890Dic3⋊C4C22×D311yescharacteristic
891Dic3⋊C4C22×D312yes—
892Dic3⋊C4C22×D312yes—
893C4×Dic3C22×D312yes—
894C4×Dic3C22×D311yescharacteristic
895C4×Dic3C22×D312yes—
896C22×C32—22no—
897C22×C32—22no—
898C22×C32C22×D414yes—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—21no—
901C2×C3⋊D3—21no—
902C2×C3⋊D3—22no—
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—84no—
910C2×C3×D3—21no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—22no—
921C2×C3×D3—21no—
922C2×C3×D3—22no—
923C2×C3×D3—48no—
924C2×C3×D3—84no—
925C2×C3×D3C22×D412yes—
926C2×C3×D3H(5,𝔽2)12yescomplemented
927D32—44no—
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—22no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—22no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3C22×D414yes—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—91no—
946C2×#41—92no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—91no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—31no—
958C22×D4—32no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C23×C4—91no—
968C23×C4—92no—
969#127—31no—
970#127—91no—
971#127—92no—
972#127—92no—
973#124—92no—
974#124—92no—
975#124—91no—
976#124—91no—
977#123—91no—
978#123—91no—
979#123—92no—
980#123—92no—
981C22⋊Q8—91no—
982C22⋊Q8—92no—
983C22⋊Q8—92no—
984C22⋊Q8—91no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988#121—32no—
989#121—31no—
990#121—31no—
991#121—92no—
992#121—91no—
993#121—92no—
994#121—92no—
995#121—91no—
996#121—91no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—91no—
1003#121—92no—
1004#121—92no—
1005#121—92no—
1006#121—91no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—91no—
1013#120—32no—
1014#120—32no—
1015#120—91no—
1016#120—91no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—31no—
1025C4×D4—31no—
1026C4×D4—32no—
1027C4×D4—32no—
1028C4×D4—31no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—91no—
1036C4×D4D3211yescharacteristic, complemented
1037#117—32no—
1038#117—31no—
1039C2×C4⋊C4—32no—
1040C2×C4⋊C4—31no—
1041C2×C22⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—22no—
1045C23×C3—31no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—64no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—122no—
1054C23×C3—122no—
1055C23×C3—122no—
1056C23×C3C23×D312yes—
1057C23×C3C23×D312yes—
1058C22×D3—24no—
1059C22×D3—24no—
1060C22×D3—24no—
1061C22×D3—32no—
1062C22×D3—31no—
1063C22×D3—32no—
1064C22×D3—31no—
1065C22×D3—31no—
1066C22×D3—31no—
1067C22×D3—42no—
1068C22×D3—42no—
1069C22×D3—42no—
1070C22×D3—61no—
1071C22×D3—62no—
1072C22×D3—61no—
1073C22×D3—62no—
1074C22×D3—62no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—62no—
1079C22×D3—62no—
1080C22×D3—64no—
1081C22×D3—124no—
1082C22×D3—121no—
1083C22×D3—121no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—124no—
1093C22×D3—242no—
1094C22×D3C23×D312yes—
1095C22×D3C23×D311yescharacteristic
1096C22×D3C23×D312yes—
1097C22×D3C23×D311yescharacteristic
1098C22×D3C23×D311yescharacteristic
1099C3×Q8—34no—
1100C3×D4—24no—
1101C3×D4—38no—
1102C3×D4—64no—
1103C3×D4—62no—
1104C3×D4—64no—
1105C3×D4—64no—
1106C3×D4—62no—
1107C3×D4—62no—
1108C3×D4—122no—
1109C3×D4—122no—
1110C3×D4—122no—
1111C3×D4C2×D1214yescomplemented
1112C3×D4D3×D414yescomplemented
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—22no—
1116C2×C3×C4—21no—
1117C2×C3×C4—38no—
1118C2×C3×C4—32no—
1119C2×C3×C4—31no—
1120C2×C3×C4—34no—
1121C2×C3×C4—31no—
1122C2×C3×C4—31no—
1123C2×C3×C4—31no—
1124C2×C3×C4—31no—
1125C2×C3×C4—32no—
1126C2×C3×C4—42no—
1127C2×C3×C4—42no—
1128C2×C3×C4—62no—
1129C2×C3×C4—62no—
1130C2×C3×C4—82no—
1131C2×C3×C4—122no—
1132C2×C3×C4—122no—
1133C2×C3×C4C23×D311yescharacteristic
1134C2×C3×C4C23×D312yes—
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D312yes—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141#67—24no—
1142#67—24no—
1143#67—62no—
1144#67—64no—
1145#67—62no—
1146#67—62no—
1147#67—64no—
1148#67—64no—
1149#67—64no—
1150#67—64no—
1151#67—64no—
1152#67—62no—
1153#67—64no—
1154#67—64no—
1155#67—62no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—124no—
1160#67—124no—
1161#67—122no—
1162#67—121no—
1163#67—122no—
1164#67—122no—
1165#67—122no—
1166#67C2×D1218yescomplemented
1167C2×Dic3—31no—
1168C2×Dic3—32no—
1169C2×Dic3—31no—
1170C2×Dic3—31no—
1171C2×Dic3—32no—
1172C2×Dic3—31no—
1173C2×Dic3—42no—
1174C2×Dic3—61no—
1175C2×Dic3—62no—
1176C2×Dic3—61no—
1177C2×Dic3—62no—
1178C2×Dic3—64no—
1179C2×Dic3—64no—
1180C2×Dic3—64no—
1181C2×Dic3—62no—
1182C2×Dic3—64no—
1183C2×Dic3—64no—
1184C2×Dic3—64no—
1185C2×Dic3—124no—
1186C2×Dic3C2×D1218yescomplemented
1187C2×Dic3C23×D311yescharacteristic
1188C2×Dic3C23×D311yescharacteristic
1189C2×Dic3C23×D312yes—
1190C2×Dic3C23×D311yescharacteristic
1191C2×Dic3C23×D311yescharacteristic
1192C2×Dic3C23×D312yes—
1193C2×Dic3C23×D311yescharacteristic
1194D12—22no—
1195D12—24no—
1196D12—22no—
1197D12—22no—
1198D12—42no—
1199D12—42no—
1200D12—42no—
1201D12—62no—
1202D12—64no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—62no—
1207D12—64no—
1208D12—62no—
1209D12—62no—
1210D12—62no—
1211D12—122no—
1212D12—121no—
1213D12—121no—
1214D12—122no—
1215D12—122no—
1216D12—122no—
1217D12—122no—
1218D12—121no—
1219D12—122no—
1220D12—122no—
1221D12—122no—
1222D12—242no—
1223C4×D3—22no—
1224C4×D3—22no—
1225C4×D3—42no—
1226C4×D3—62no—
1227C4×D3—64no—
1228C4×D3—62no—
1229C4×D3—64no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—62no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—62no—
1239C4×D3—64no—
1240C4×D3—122no—
1241C4×D3—122no—
1242C4×D3C2×D1214yescomplemented
1243Dic6—62no—
1244Dic6—64no—
1245Dic6—62no—
1246Dic6—62no—
1247Dic6—64no—
1248Dic6—62no—
1249Dic6—122no—
1250Dic6C2×D1214yescomplemented
1251C2×C32—24no—
1252C2×C32C23×D411yescharacteristic
1253C2×C32C2×H(5,𝔽2)11yescharacteristic
1254C2×C32#58511yescharacteristic
1255C3⋊D3—41no—
1256C3⋊D3—41no—
1257C3⋊D3—42no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—42no—
1261C3×D3—42no—
1262C3×D3—41no—
1263C24—32no—
1264C24—32no—
1265C24—91no—
1266C24—92no—
1267C24—92no—
1268#41—38no—
1269#41—184no—
1270#41—188no—
1271#41—184no—
1272#41—188no—
1273#41—184no—
1274#41—188no—
1275#41—184no—
1276#41—184no—
1277#41—184no—
1278C2×Q8—31no—
1279C2×Q8—91no—
1280C2×Q8—92no—
1281C2×Q8—91no—
1282C2×Q8—184no—
1283C2×D4—32no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—31no—
1287C2×D4—32no—
1288C2×D4—31no—
1289C2×D4—31no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—64no—
1294C2×D4—64no—
1295C2×D4—92no—
1296C2×D4—91no—
1297C2×D4—91no—
1298C2×D4—91no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—91no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—91no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—91no—
1314C2×D4—92no—
1315C2×D4—124no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—188no—
1320C2×D4—188no—
1321C2×D4—184no—
1322C2×D4—364no—
1323C2×D4—364no—
1324C2×D4C2×D3211yescharacteristic
1325C22×C4—32no—
1326C22×C4—31no—
1327C22×C4—32no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—32no—
1331C22×C4—92no—
1332C22×C4—91no—
1333C22×C4—91no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—91no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—91no—
1341C22×C4—91no—
1342C22×C4—184no—
1343C22×C4—188no—
1344C22×C4C2×D3212yes—
1345C4⋊C4—32no—
1346C4⋊C4—31no—
1347C4⋊C4—32no—
1348C4⋊C4—32no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—31no—
1352C4⋊C4—91no—
1353C4⋊C4—91no—
1354C4⋊C4—92no—
1355C4⋊C4—91no—
1356C4⋊C4—92no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—32no—
1359C22⋊C4—32no—
1360C22⋊C4—31no—
1361C22⋊C4—31no—
1362C22⋊C4—31no—
1363C22⋊C4—31no—
1364C22⋊C4—32no—
1365C22⋊C4—92no—
1366C22⋊C4—91no—
1367C22⋊C4—91no—
1368C22⋊C4—91no—
1369C22⋊C4—92no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—91no—
1381C22⋊C4C2×D3212yes—
1382C42—32no—
1383C42—32no—
1384C42—31no—
1385C42C2×D3211yescharacteristic
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—24no—
1391C22×C3—21no—
1392C22×C3—32no—
1393C22×C3—32no—
1394C22×C3—42no—
1395C22×C3—42no—
1396C22×C3—61no—
1397C22×C3—61no—
1398C22×C3—61no—
1399C22×C3—61no—
1400C22×C3—62no—
1401C22×C3—62no—
1402C22×C3—61no—
1403C22×C3—62no—
1404C22×C3—62no—
1405C22×C3—61no—
1406C22×C3—62no—
1407C22×C3—61no—
1408C22×C3—62no—
1409C22×C3—128no—
1410C22×C3—244no—
1411C22×C3C22×D1214yes—
1412C22×C3C2×D3×D414yes—
1413C22×C3C24×D311yescharacteristic
1414C22×C3C24×D311yescharacteristic
1415C2×D3—21no—
1416C2×D3—21no—
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—21no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—21no—
1423C2×D3—22no—
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—21no—
1428C2×D3—48no—
1429C2×D3—62no—
1430C2×D3—61no—
1431C2×D3—61no—
1432C2×D3—62no—
1433C2×D3—61no—
1434C2×D3—62no—
1435C2×D3—61no—
1436C2×D3—62no—
1437C2×D3—61no—
1438C2×D3—61no—
1439C2×D3—61no—
1440C2×D3—62no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—62no—
1445C2×D3—61no—
1446C2×D3—61no—
1447C2×D3—62no—
1448C2×D3—84no—
1449C2×D3—121no—
1450C2×D3—121no—
1451C2×D3—121no—
1452C2×D3—122no—
1453C2×D3—121no—
1454C2×D3—121no—
1455C2×D3—122no—
1456C2×D3—122no—
1457C2×D3—124no—
1458C2×D3—124no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—248no—
1464C2×D3C22×D1212yes—
1465C2×D3#100412yescomplemented
1466C3×C4—21no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—22no—
1473C3×C4—32no—
1474C3×C4—34no—
1475C3×C4—41no—
1476C3×C4—42no—
1477C3×C4—41no—
1478C3×C4—61no—
1479C3×C4—61no—
1480C3×C4—62no—
1481C3×C4—61no—
1482C3×C4—61no—
1483C3×C4C22×D1212yes—
1484C3×C4C2×D3×D412yes—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—22no—
1488Dic3—21no—
1489Dic3—21no—
1490Dic3—62no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—62no—
1494Dic3—61no—
1495Dic3—61no—
1496Dic3—122no—
1497Dic3—121no—
1498Dic3—121no—
1499Dic3C22×D1214yes—
1500Dic3C22×D1212yes—
1501C32#348811yescharacteristic, complemented, Sylow
1502C23—31no—
1503C23—31no—
1504C23—31no—
1505C23—32no—
1506C23—32no—
1507C23—64no—
1508C23—64no—
1509C23—64no—
1510C23—91no—
1511C23—92no—
1512C23—91no—
1513C23—122no—
1514C23—122no—
1515C23—122no—
1516C23—182no—
1517C23—182no—
1518C23—184no—
1519C23—184no—
1520C23—362no—
1521C23—362no—
1522C23—361no—
1523C23—362no—
1524C23—362no—
1525C23C22×D3212yes—
1526Q8—34no—
1527Q8—184no—
1528Q8—182no—
1529Q8—182no—
1530D4—38no—
1531D4—62no—
1532D4—64no—
1533D4—64no—
1534D4—64no—
1535D4—62no—
1536D4—62no—
1537D4—122no—
1538D4—122no—
1539D4—122no—
1540D4—182no—
1541D4—184no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—182no—
1546D4—184no—
1547D4—182no—
1548D4—182no—
1549D4—184no—
1550D4—184no—
1551D4—184no—
1552D4—182no—
1553D4—362no—
1554D4—361no—
1555D4—362no—
1556D4—362no—
1557D4—362no—
1558D4—362no—
1559D4—361no—
1560D4D3×D1214yescomplemented
1561C2×C4—38no—
1562C2×C4—32no—
1563C2×C4—31no—
1564C2×C4—34no—
1565C2×C4—31no—
1566C2×C4—32no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—42no—
1571C2×C4—62no—
1572C2×C4—62no—
1573C2×C4—91no—
1574C2×C4—92no—
1575C2×C4—91no—
1576C2×C4—122no—
1577C2×C4—122no—
1578C2×C4—182no—
1579C2×C4—184no—
1580C2×C4—182no—
1581C2×C4—184no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—182no—
1586C2×C4—184no—
1587C2×C4—182no—
1588C2×C4—182no—
1589C2×C4C22×D3211yescharacteristic
1590C2×C4C22×D3212yes—
1591C2×C4C22×D3211yescharacteristic
1592C2×C4C22×D3211yescharacteristic
1593C2×C3—24no—
1594C2×C3—24no—
1595C2×C3—21no—
1596C2×C3—21no—
1597C2×C3—21no—
1598C2×C3—44no—
1599C2×C3—62no—
1600C2×C3—62no—
1601C2×C3—122no—
1602C2×C3—122no—
1603C2×C3—121no—
1604C2×C3C23×D1211yescharacteristic
1605C2×C3C22×D3×D411yescharacteristic
1606C2×C3C2×#100411yescharacteristic
1607C2×C3D3×H(5,𝔽2)11yescharacteristic
1608C2×C3#596611yescharacteristic
1609C2×C3#596811yescharacteristic
1610D3—22no—
1611D3—22no—
1612D3—42no—
1613D3—41no—
1614D3—42no—
1615D3—122no—
1616D3—121no—
1617D3—121no—
1618D3—122no—
1619D3—121no—
1620D3—121no—
1621D3—122no—
1622D3—242no—
1623D3—241no—
1624C22—22no—
1625C22—22no—
1626C22—32no—
1627C22—32no—
1628C22—61no—
1629C22—61no—
1630C22—61no—
1631C22—61no—
1632C22—61no—
1633C22—62no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—61no—
1641C22—128no—
1642C22—181no—
1643C22—181no—
1644C22—182no—
1645C22—181no—
1646C22—182no—
1647C22—181no—
1648C22—181no—
1649C22—181no—
1650C22—182no—
1651C22—244no—
1652C22—364no—
1653C22—724no—
1654C22—724no—
1655C22C2×D3×D1214yes—
1656C22C23×D3211yescharacteristic
1657C4—21no—
1658C4—22no—
1659C4—21no—
1660C4—32no—
1661C4—34no—
1662C4—61no—
1663C4—61no—
1664C4—62no—
1665C4—61no—
1666C4—61no—
1667C4—181no—
1668C4—181no—
1669C4—182no—
1670C4C2×D3×D1212yes—
1671C3—21no—
1672C3#8590011yescharacteristic, complemented
1673C3#8660711yescharacteristic, complemented
1674C2—24no—
1675C2—62no—
1676C2—62no—
1677C2—122no—
1678C2—121no—
1679C2—122no—
1680C2—361no—
1681C2—361no—
1682C2—362no—
1683C2C22×D3×D1211yescharacteristic
1684C2D3×#100411yescharacteristic
1685C2#1059669811yescharacteristic
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×D3×#237C2semidirect
3. #10596025C2semidirect
4. C3×D4×D12C2semidirect
5. C3×#5546C2semidirect
6. #10595246C2semidirect
7. D4×#626C2semidirect
8. #10595075C2semidirect
9. D12×#67C2semidirect
10. #10594911C2semidirect
11. C2×#63886C2semidirect
12. D3×#895C2semidirect
13. #10594524C2semidirect
14. #10594522C2semidirect
15. #10594382C2semidirect
16. #10594292C2semidirect
17. #10594277C2semidirect
18. #10594080C2semidirect
19. #10594078C2semidirect
20. #10594000C2semidirect
21. #10593997C2semidirect
22. #10593900C2semidirect
23. #10593899C2semidirect
26. C2×#3830C22semidirect
27. C2×D4×C3⋊D3C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C22×C3×D12C22semidirect
32. C2×#3811C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C22×#626C22semidirect
36. C22×#626C22semidirect
37. C2×#3805C22semidirect
38. C2×#3804C22semidirect
39. C2×#3804C22semidirect
40. C22×D3×Dic3C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3799C22semidirect
47. C2×#3798C22semidirect
48. C2×#3796C22semidirect
49. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×C4×D4C22semidirect
53. #64139C22semidirect
54. C2×#3752C22semidirect
55. #64106C22semidirect
56. #64104C22semidirect
57. #64095C22semidirect
58. #64091C22semidirect
59. #64084C22semidirect
60. C4×C4⋊(C3⋊D3)C22semidirect
61. C3×D4×Dic3C22semidirect
62. C3×#930C22semidirect
63. C3×C4×#67C22semidirect
64. C2×C3×Dic3⋊C4C22semidirect
65. C3×#895C22semidirect
66. C3×#895C22semidirect
67. C3×D3×C4⋊C4C22semidirect
68. C3×#887C22semidirect
69. C3×#882C22semidirect
70. C3×#882C22semidirect
71. C3×#67⋊C4C22semidirect
72. C3×#877C22semidirect
73. C3×#874C22semidirect
74. C3×C4×D12C22semidirect
75. C3×#872C22semidirect
76. C3×C4×Dic6C22semidirect
77. #63981C22semidirect
78. #63978C22semidirect
79. #63978C22semidirect
80. #63977C22semidirect
81. #63977C22semidirect
82. #63962C22semidirect
83. C2×(C2×D3)⋊Dic3C22semidirect
84. #63923C22semidirect
85. #63922C22semidirect
86. #63922C22semidirect
87. #63922C22semidirect
88. D3×(C2×D3)⋊C4C22semidirect
89. #63916C22semidirect
90. #63916C22semidirect
91. #63911C22semidirect
92. #63911C22semidirect
93. #63911C22semidirect
94. #63910C22semidirect
95. #63910C22semidirect
96. #63910C22semidirect
97. #63909C22semidirect
98. #63908C22semidirect
99. #63906C22semidirect
100. C4×#626C22semidirect
101. C4×#626C22semidirect
102. #63895C22semidirect
103. #63895C22semidirect
104. #63893C22semidirect
105. #63893C22semidirect
106. #63893C22semidirect
107. Dic3×D12C22semidirect
108. Dic3×D12C22semidirect
109. #63891C22semidirect
110. #63890C22semidirect
111. #63886C22semidirect
112. #63886C22semidirect
113. #63886C22semidirect
114. #63886C22semidirect
115. #63886C22semidirect
116. #63886C22semidirect
117. #63886C22semidirect
118. #63886C22semidirect
119. #63886C22semidirect
120. #63886C22semidirect
121. #63880C22semidirect
122. #63880C22semidirect
123. #63860C22semidirect
124. #63857C22semidirect
125. #63852C22semidirect
126. #63852C22semidirect
163. D4×D12D3semidirect
165. #5546D3semidirect
197. C3×#237D4semidirect
335. C2×D3×D4C2×D3semidirect
336. C2×D3×D4C2×D3semidirect
347. C22×D12C2×D3semidirect
365. C3×C4×D4C2×D3semidirect
366. C3×C4×D4C2×D3semidirect
400. D4×Dic3C2×D3semidirect
409. #930C2×D3semidirect
412. C4×#67C2×D3semidirect
419. C2×Dic3⋊C4C2×D3semidirect
450. #895C2×D3semidirect
451. #895C2×D3semidirect
453. D3×C4⋊C4C2×D3semidirect
454. #887C2×D3semidirect
479. #882C2×D3semidirect
480. #882C2×D3semidirect
483. #67⋊C4C2×D3semidirect
488. #877C2×D3semidirect
498. #874C2×D3semidirect
508. C4×D12C2×D3semidirect
509. #872C2×D3semidirect
510. C4×Dic6C2×D3semidirect
535. C32×D4C2×D4semidirect
555. C3×#67C2×D4semidirect
557. C2×C3×Dic3C2×D4semidirect
575. C3×C4×D3C2×D4semidirect
576. C3×Dic6C2×D4semidirect
719. #237D12semidirect
926. C2×C3×D3H(5,𝔽2)semidirect
1036. C4×D4D32semidirect
1111. C3×D4C2×D12semidirect
1112. C3×D4D3×D4semidirect
1166. #67C2×D12semidirect
1186. C2×Dic3C2×D12semidirect
1242. C4×D3C2×D12semidirect
1250. Dic6C2×D12semidirect
1465. C2×D3#1004semidirect
1501. C32#3488semidirect
1560. D4D3×D12semidirect
1672. C3#85900semidirect
1673. C3#86607semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C2×D3×#2372
#105960252
C3×D4×D122
C3×#55462
#105952462
D4×#6262
#105950752
D12×#672
#105949112
C2×#638862
D3×#8952
#105945242
#105945222
#105943822
#105942922
#105942772
#105940802
#105940782
#105940002
#105939972
#105939002
#105938992
#866073
#859003