Finite Group Databasebeta

← #11904681

Subgroups — #11904681

Order 1152.

3463 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#237C211yesmaximal, characteristic, complemented
2C2×#64307C211yesmaximal, characteristic, complemented
3#10596079C211yesmaximal, characteristic, complemented
4C3×#5609C211yesmaximal, characteristic, complemented
5C3×#5599C211yesmaximal, characteristic, complemented
6#10595309C211yesmaximal, characteristic, complemented
7#10595294C212yesmaximal, complemented
8#10595293C211yesmaximal, characteristic, complemented
9#10595293C212yesmaximal, complemented
10#10595286C212yesmaximal, complemented
11D3×#939C212yesmaximal, complemented
12#10595158C211yesmaximal, characteristic, complemented
13#10595076C211yesmaximal, characteristic, complemented
14#10594899C211yesmaximal, characteristic, complemented
15#10594886C211yesmaximal, characteristic, complemented
16#10594630C211yesmaximal, characteristic, complemented
17#10594612C211yesmaximal, characteristic, complemented
18#10594382C211yesmaximal, characteristic, complemented
19#10594361C211yesmaximal, characteristic, complemented
20#10594283C212yesmaximal, complemented
21#10594275C212yesmaximal, complemented
22#10594060C212yesmaximal, complemented
23#10594054C212yesmaximal, complemented
24#86769—31nomaximal
25#86607—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×#235C2211yescharacteristic, complemented
32C22×C3×D12C2211yescharacteristic, complemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×#3805C2212yescomplemented
38C2×#3804C2212yescomplemented
39C22×D3×Dic3C2212yescomplemented
40D3×#237—28no—
41#64307—28no—
42C2×#3802C2211yescharacteristic, complemented
43C2×#3802C2211yescharacteristic, complemented
44C2×#3802C2212yescomplemented
45C2×D3×D12C2212yescomplemented
46C2×C4×D32C2211yescharacteristic, complemented
47C2×#3796C2211yescharacteristic
48C2×#3796C2211yescharacteristic, complemented
49C2×#3795C2212yescomplemented
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64148C2212yescomplemented
54#64147C2211yescharacteristic, complemented
55#64147C2212yescomplemented
56#64133C2211yescharacteristic, complemented
57#64106C2211yescharacteristic, complemented
58C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
59#64093C2212yescomplemented
60#64087C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#940C2212yescomplemented
63C3×#940C2211yescharacteristic, complemented
64C3×#939C2212yescomplemented
65C3×#937C2212yescomplemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68C3×#895C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×#893C2211yescharacteristic, complemented
71C3×#887C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#884C2212yescomplemented
74C3×#882C2212yescomplemented
75C3×#67⋊C4C2212yescomplemented
76#63983C2211yescharacteristic, complemented
77#63983C2212yescomplemented
78#63983C2212yescomplemented
79#63983C2212yescomplemented
80#63980C2212yescomplemented
81#63980C2212yescomplemented
82#63979C2212yescomplemented
83#63978C2212yescomplemented
84#63976C2212yescomplemented
85#63976C2212yescomplemented
86#63975C2211yescharacteristic, complemented
87Dic3×#67C2212yescomplemented
88#63971C2211yescharacteristic, complemented
89#63971C2211yescharacteristic, complemented
90#63970C2212yescomplemented
91#63970C2212yescomplemented
92#63970C2212yescomplemented
93D3×#217C2212yescomplemented
94#63959C2212yescomplemented
95#63923C2211yescharacteristic, complemented
96#63922C2212yescomplemented
97#63921C2212yescomplemented
98D3×(C2×D3)⋊C4C2212yescomplemented
99#63908C2212yescomplemented
100#63908C2211yescharacteristic, complemented
101#63908C2211yescharacteristic, complemented
102C4×#626C2211yescharacteristic, complemented
103C4×#626C2211yescharacteristic, complemented
104C4×#626C2212yescomplemented
105#63897C2211yescharacteristic, complemented
106#63896C2211yescharacteristic, complemented
107#63896C2211yescharacteristic, complemented
108#63893C2212yescomplemented
109Dic3×D12C2212yescomplemented
110Dic3×D12C2211yescharacteristic, complemented
111#63891C2212yescomplemented
112#63886C2212yescomplemented
113#63885C2212yescomplemented
114#63885C2212yescomplemented
115#63885C2212yescomplemented
116#63884C2212yescomplemented
117#63881C2212yescomplemented
118#63879C2212yescomplemented
119#63877C2212yescomplemented
120D3×Dic3⋊C4C2212yescomplemented
121#63874C2211yescharacteristic, complemented
122#63860C2211yescharacteristic, complemented
123#63860C2211yescharacteristic, complemented
124#63852C2212yescomplemented
125#63851C2212yescomplemented
126Dic3×Dic6C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#237—31no—
131C3×#550—31no—
132C3×D42—31no—
133#5834—31no—
134#5831—31no—
135#5806—31no—
136C2×#939—32no—
137D4×#67—32no—
138D4×#67—31no—
139#5718—31no—
140#5717—32no—
141#5717—31no—
142#5715—31no—
143#5715—31no—
144#5715—32no—
145#5612—32no—
146#5612—31no—
147#5610—32no—
148#5609—32no—
149#5609D311yescharacteristic, complemented
150#5608—31no—
151#5608—31no—
152#5608—32no—
153#5608—61no—
154D3×#121—32no—
155D3×#121—31no—
156D3×#121—31no—
157#5599D311yescharacteristic, complemented
158#5598—31no—
159#5597—32no—
160#5592—32no—
161#5591—32no—
162#5590—32no—
163#5586—32no—
164#5576—31no—
165#5574—31no—
166#5554—31no—
167#5552—31no—
168#5550—31no—
169#5550—32no—
170#5547—31no—
171#5547—31no—
172#5547—32no—
173#5546—31no—
174C23×C3×D3C2312yes—
175C23×C3×D3C2312yes—
176C22×D32C2311yescharacteristic
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2312yes—
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2311yescharacteristic
184C2×#638C2311yescharacteristic
185C2×#638C2312yes—
186C22×C3⋊Dic3C2312yes—
187#3830—24no—
188#3828—24no—
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4×C3⋊D3C2311yescharacteristic
191C2×C4×C3⋊D3C2312yes—
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×#634C2311yescharacteristic
194C2×#634C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C2×C3×#67C2311yescharacteristic
204C22×C3×Dic3C2312yes—
205C3×#237—24no—
206C3×D3×D4—24no—
207C3×D3×D4—44no—
208C3×#235—24no—
209C2×C3×D12—24no—
210C2×C3×D12C2312yes—
211C2×C3×D12C2312yes—
212C2×C3×D12C2311yescharacteristic
213C2×C3×D12C2311yescharacteristic
214C2×C3×D12C2312yes—
215C2×C3×D12C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×C4×D3C2311yescharacteristic
219C2×C3×C4×D3C2312yes—
220C2×C3×Dic6C2311yescharacteristic
221D3×#67—28no—
222D3×#67—28no—
223D3×#67—28no—
224D3×#67—44no—
225C2×#627C2312yes—
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2311yescharacteristic
229C2×#626C2312yes—
230C2×#625C2312yes—
231C2×#625C2312yes—
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#625C2312yes—
235C2×#624C2311yescharacteristic
236#3805—28no—
237#3804—28no—
238C2×D3×Dic3—28no—
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2311yescharacteristic
243C2×D3×Dic3C2311yescharacteristic
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2312yes—
246#3802—24no—
247#3802—24no—
248#3802—44no—
249D3×D12—28no—
250C4×D32—24no—
251#3796—24no—
252#3796D418yescomplemented
253#3795—24no—
254#3795—28no—
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2312yes—
259#3757C2312yes—
260#3752C2312yes—
261C4⋊(C3⋊Dic3)C2312yes—
262C4⋊(C3⋊Dic3)C2311yescharacteristic
263#3750C2312yes—
264#3750C2312yes—
265C3×#217C2311yescharacteristic
266C3×#217C2311yescharacteristic
267C3×(C2×D3)⋊C4C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×Dic3⋊C4C2311yescharacteristic
273C3×Dic3⋊C4C2311yescharacteristic
274C3×Dic3⋊C4C2312yes—
275C3×C4×Dic3C2312yes—
276C3×C4×Dic3C2311yescharacteristic
277C3×C4×Dic3C2311yescharacteristic
278#3724C2311yescharacteristic
279#3724C2311yescharacteristic
280Dic3⋊Dic3C2312yes—
281Dic3⋊Dic3C2311yescharacteristic
282Dic3⋊Dic3C2311yescharacteristic
283#3722C2311yescharacteristic
284#3722C2311yescharacteristic
285#3722C2311yescharacteristic
286#3722C2311yescharacteristic
287(C2×D3)⋊Dic3C2312yes—
288(C2×D3)⋊Dic3C2312yes—
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C22×C3×D4—32no—
302C22×C3×D4—31no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C23×Dic3—32no—
308#1009—68no—
309D3×#41—68no—
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—31no—
320C2×#237—32no—
321C2×#237—31no—
322C2×#237—31no—
323C2×#237—61no—
324C2×#237—68no—
325C2×#237C2×D311yescharacteristic, complemented
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—31no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—31no—
334C2×D3×D4—32no—
335C2×D3×D4—32no—
336C2×D3×D4—32no—
337C2×D3×D4C2×D311yescharacteristic, complemented
338C2×D3×D4C2×D312yescomplemented
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—32no—
342C2×#235—31no—
343C2×#235—32no—
344C2×#235—61no—
345C2×#235C2×D311yescharacteristic, complemented
346C22×D12—32no—
347C22×D12C2×D311yescharacteristic, complemented
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×Dic6—31no—
352C3×#127—32no—
353C3×#127—31no—
354C3×#127—31no—
355C3×#121—21no—
356C3×#121—32no—
357C3×#121—31no—
358C3×#121—31no—
359C3×#121—32no—
360C3×#121—32no—
361C3×#121C2×D311yescharacteristic, complemented
362C3×#121C2×D311yescharacteristic, complemented
363C3×#120—32no—
364C3×#120—32no—
365C3×C4×Q8—31no—
366C3×C4×D4—31no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—32no—
370#953—32no—
371#953—32no—
372C2×#217—32no—
373Q8×Dic3—31no—
374#940—32no—
375#940—32no—
376#940C2×D311yescharacteristic, complemented
377#940C2×D311yescharacteristic, complemented
378#940C2×D312yescomplemented
379#939—32no—
380#939—32no—
381#939—32no—
382#939—32no—
383#939—32no—
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—31no—
390#939—31no—
391#939—32no—
392#939—32no—
393#939—32no—
394#939—32no—
395#939—62no—
396#939C2×D312yescomplemented
397#938—31no—
398#938—32no—
399#938—31no—
400#938—32no—
401#938—32no—
402#938—32no—
403#938—32no—
404#938—31no—
405#938—32no—
406#938—31no—
407#938—62no—
408#938—61no—
409#937—32no—
410#937—32no—
411#937—32no—
412#937—32no—
413#937—32no—
414#937—32no—
415#937—32no—
416#937—31no—
417#937—31no—
418#937—32no—
419#937—32no—
420#937C2×D312yescomplemented
421#936—32no—
422#936—31no—
423#936—31no—
424#935—32no—
425D4×Dic3—32no—
426D4×Dic3—31no—
427D4×Dic3—32no—
428#930—32no—
429#930—31no—
430#930—32no—
431#930—31no—
432C4×#67—32no—
433C4×#67—32no—
434C4×#67—32no—
435C4×#67—31no—
436C4×#67—31no—
437C4×#67C2×D311yescharacteristic, complemented
438C4×#67C2×D311yescharacteristic, complemented
439C2×(C2×D3)⋊C4—32no—
440#924—31no—
441#924—31no—
442#924—32no—
443#924—61no—
444C2×Dic3⋊C4—32no—
445#897—31no—
446#897—31no—
447#897—32no—
448#897—61no—
449#896—32no—
450#896—31no—
451#896—31no—
452#895—32no—
453#895C2×D311yescharacteristic, complemented
454#895C2×D311yescharacteristic, complemented
455#894—32no—
456#894—31no—
457#894—31no—
458#893—32no—
459#893C2×D311yescharacteristic, complemented
460D3×C4⋊C4—32no—
461D3×C4⋊C4—31no—
462D3×C4⋊C4—31no—
463D3×C4⋊C4—61no—
464#887C2×D311yescharacteristic, complemented
465#886—32no—
466#885—32no—
467#885—32no—
468#884—31no—
469#884—31no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—32no—
475#884—62no—
476#884C2×D312yescomplemented
477#884C2×D312yescomplemented
478#883—31no—
479#883—31no—
480#883—32no—
481#882—32no—
482#882—31no—
483#882—31no—
484#882C2×D312yescomplemented
485#67⋊C4—32no—
486#67⋊C4—32no—
487#67⋊C4C2×D312yescomplemented
488D3×C22⋊C4—32no—
489D3×C22⋊C4—32no—
490D3×C22⋊C4—32no—
491D3×C22⋊C4—32no—
492#878—32no—
493#878—32no—
494#878—32no—
495#878—31no—
496#878—31no—
497#878—62no—
498#877—32no—
499#875—31no—
500#875—31no—
501#875—32no—
502C4×D12—32no—
503C4×D12—31no—
504C4×D12—31no—
505C4×D12—32no—
506C4×D12—31no—
507#872—32no—
508#872—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2411yescharacteristic
512C23×C32C2412yes—
513C22×C3⋊D3C2411yescharacteristic
514C22×C3⋊D3C2411yescharacteristic
515C22×C3×D3—24no—
516C22×C3×D3—24no—
517C22×C3×D3—24no—
518C22×C3×D3—42no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3C2412yes—
522C22×C3×D3C2412yes—
523C22×C3×D3C2411yescharacteristic
524C22×C3×D3C2412yes—
525C22×C3×D3C2411yescharacteristic
526C2×D32—22no—
527C2×D32—22no—
528C2×D32—24no—
529C2×D32—24no—
530C2×D32—41no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—42no—
537C2×C32×C4—22no—
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—24no—
542#638—22no—
543#638—22no—
544#638—42no—
545C2×C3⋊Dic3—24no—
546C2×C3⋊Dic3C2412yes—
547C2×C3⋊Dic3C2412yes—
548C2×C3⋊Dic3C2411yescharacteristic
549C2×C3⋊Dic3C2411yescharacteristic
550C4⋊(C3⋊D3)—22no—
551C4×C3⋊D3—22no—
552C4×C3⋊D3—42no—
553C4×C3⋊D3C2×D414yescomplemented
554#634—22no—
555#634—22no—
556C3×#67—24no—
557C3×#67—22no—
558C3×#67—24no—
559C3×#67—24no—
560C3×#67—42no—
561C3×#67—42no—
562C3×#67—42no—
563C3×#67—41no—
564C3×#67—42no—
565C2×C3×Dic3—24no—
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2411yescharacteristic
570C2×C3×Dic3C2411yescharacteristic
571C2×C3×Dic3C2411yescharacteristic
572C2×C3×Dic3C2412yes—
573C3×D12—24no—
574C3×D12—24no—
575C3×D12—22no—
576C3×D12—22no—
577C3×D12—42no—
578C3×D12C2×D414yescomplemented
579C3×C4×D3—22no—
580C3×C4×D3—22no—
581C3×C4×D3—24no—
582C3×C4×D3—42no—
583C3×Dic6C2×D414yescomplemented
584#627—24no—
585#626—22no—
586#626—24no—
587#626—41no—
588#626C2×D418yescomplemented
589#625—24no—
590#625—24no—
591#625—24no—
592#625—24no—
593#625—42no—
594#624—22no—
595D3×Dic3—24no—
596D3×Dic3—22no—
597D3×Dic3—22no—
598D3×Dic3—24no—
599D3×Dic3—24no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—92no—
609#546—91no—
610#546—91no—
611#546—92no—
612D42—31no—
613D42—92no—
614D42—92no—
615D42—91no—
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—91no—
625C24×C3—32no—
626C24×C3—32no—
627C23×D3—31no—
628C23×D3—31no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C3×#41—64no—
637C2×C3×Q8—31no—
638C2×C3×D4—21no—
639C2×C3×D4—22no—
640C2×C3×D4—32no—
641C2×C3×D4—31no—
642C2×C3×D4—32no—
643C2×C3×D4—32no—
644C2×C3×D4—32no—
645C2×C3×D4—32no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—31no—
653C2×C3×D4—31no—
654C2×C3×D4—32no—
655C2×C3×D4—64no—
656C2×C3×D4—64no—
657C2×C3×D4—124no—
658C2×C3×D4C22×D311yescharacteristic
659C2×C3×D4C22×D311yescharacteristic
660C2×C3×D4C22×D312yes—
661C2×C3×D4C22×D312yes—
662C22×C3×C4—21no—
663C22×C3×C4—32no—
664C22×C3×C4—32no—
665C22×C3×C4—31no—
666C22×C3×C4—31no—
667C22×C3×C4—32no—
668C22×C3×C4C22×D311yescharacteristic
669C22×C3×C4C22×D311yescharacteristic
670C2×#67—31no—
671C2×#67—31no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—31no—
675C2×#67—31no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—31no—
690C2×#67—32no—
691C2×#67—31no—
692C2×#67—62no—
693C2×#67—61no—
694C2×#67—61no—
695C2×#67—62no—
696C2×#67—68no—
697C2×#67—68no—
698C2×#67—68no—
699C2×#67—124no—
700C2×#67C22×D311yescharacteristic
701C2×#67C22×D312yes—
702C2×#67C22×D312yes—
703C2×#67C22×D312yes—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D311yescharacteristic
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C22×Dic3—32no—
710C22×Dic3—32no—
711C22×Dic3—32no—
712C22×Dic3—32no—
713C22×Dic3—31no—
714C22×Dic3—31no—
715C22×Dic3—32no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—62no—
719C22×Dic3—68no—
720C22×Dic3C22×D312yes—
721#239—38no—
722#239—64no—
723D3×Q8—64no—
724#237—24no—
725#237—38no—
726#237—68no—
727#237—64no—
728#237—68no—
729#237—64no—
730#237—64no—
731#237—68no—
732#237—68no—
733#237—64no—
734#237—124no—
735D3×D4—24no—
736D3×D4—44no—
737D3×D4—68no—
738D3×D4—64no—
739D3×D4—64no—
740D3×D4—68no—
741D3×D4—64no—
742D3×D4—68no—
743D3×D4—68no—
744D3×D4—64no—
745D3×D4—124no—
746D3×D4—124no—
747D3×D4—124no—
748#235—24no—
749#235—68no—
750#235—64no—
751#235—64no—
752#235—68no—
753#235—64no—
754#235—124no—
755C2×D12—24no—
756C2×D12—32no—
757C2×D12—31no—
758C2×D12—32no—
759C2×D12—31no—
760C2×D12—31no—
761C2×D12—31no—
762C2×D12—61no—
763C2×D12—68no—
764C2×D12C22×D312yes—
765C2×D12C22×D311yescharacteristic
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D312yes—
768C2×D12C22×D312yes—
769C2×D12C22×D311yescharacteristic
770C2×C4×D3—32no—
771C2×C4×D3—31no—
772C2×C4×D3—31no—
773C2×C4×D3—32no—
774C2×C4×D3—32no—
775C2×C4×D3—32no—
776C2×C4×D3—31no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—61no—
786C2×C4×D3—61no—
787C2×C4×D3—62no—
788C2×C4×D3—64no—
789C2×C4×D3—64no—
790C2×C4×D3—68no—
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D312yes—
794C2×C4×D3C22×D312yes—
795C2×Dic6—31no—
796C2×Dic6—31no—
797C2×Dic6—31no—
798C2×Dic6—31no—
799C2×Dic6—32no—
800C2×Dic6—32no—
801C2×Dic6—61no—
802C2×Dic6—61no—
803C2×Dic6—64no—
804C2×Dic6C22×D311yescharacteristic
805C3×C4⋊C4—21no—
806C3×C4⋊C4—32no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4C22×D311yescharacteristic
810C3×C4⋊C4C22×D311yescharacteristic
811C3×C22⋊C4—22no—
812C3×C22⋊C4—31no—
813C3×C22⋊C4—31no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4C22×D312yes—
820C3×C22⋊C4C22×D312yes—
821C3×C42—31no—
822C3×C42—32no—
823C3×C42—31no—
824#217—32no—
825#217—32no—
826#217—32no—
827#217—32no—
828#217—32no—
829#217—31no—
830#217—31no—
831#217—32no—
832#217—32no—
833#217—32no—
834#217—32no—
835#217—32no—
836#217—32no—
837#217—62no—
838#217—62no—
839#217C22×D311yescharacteristic
840#217C22×D311yescharacteristic
841(C2×D3)⋊C4—32no—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—31no—
859(C2×D3)⋊C4—31no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4C22×D312yes—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D311yescharacteristic
866C4⋊Dic3—31no—
867C4⋊Dic3—32no—
868C4⋊Dic3—31no—
869C4⋊Dic3—32no—
870C4⋊Dic3—31no—
871C4⋊Dic3—31no—
872C4⋊Dic3—32no—
873C4⋊Dic3—62no—
874C4⋊Dic3—61no—
875Dic3⋊C4—32no—
876Dic3⋊C4—32no—
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—31no—
883Dic3⋊C4—31no—
884Dic3⋊C4—31no—
885Dic3⋊C4—31no—
886Dic3⋊C4—62no—
887Dic3⋊C4—62no—
888Dic3⋊C4C22×D312yes—
889Dic3⋊C4C22×D311yescharacteristic
890Dic3⋊C4C22×D311yescharacteristic
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3C22×D311yescharacteristic
894C4×Dic3C22×D311yescharacteristic
895C4×Dic3C22×D312yes—
896C22×C32—22no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—22no—
900C22×C32—22no—
901C22×C32—21no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3C22×D412yes—
909C2×C3×D3—21no—
910C2×C3×D3—22no—
911C2×C3×D3—21no—
912C2×C3×D3—22no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
916C2×C3×D3—22no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—22no—
921C2×C3×D3—22no—
922C2×C3×D3—48no—
923C2×C3×D3—84no—
924C2×C3×D3C22×D414yes—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—44no—
927D32—84no—
928D32—84no—
929C32×C4—21no—
930C32×C4—22no—
931C32×C4C22×D412yes—
932C3⋊Dic3—21no—
933C3⋊Dic3—22no—
934C3⋊Dic3—22no—
935C3⋊Dic3C22×D412yes—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—92no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—91no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—32no—
958C22×D4—31no—
959C22×D4—92no—
960C22×D4—91no—
961C22×D4—91no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—92no—
967C23×C4—91no—
968C23×C4—92no—
969#127—31no—
970#127—32no—
971#127—31no—
972#127—92no—
973#124—92no—
974#124—91no—
975#124—91no—
976#124—92no—
977#123—91no—
978#123—92no—
979#123—91no—
980#123—92no—
981C22⋊Q8—91no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—91no—
987C22⋊Q8—92no—
988#121—32no—
989#121—31no—
990#121—31no—
991#121—32no—
992#121—32no—
993#121—91no—
994#121—92no—
995#121—92no—
996#121—91no—
997#121—92no—
998#121—92no—
999#121—91no—
1000#121—91no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—92no—
1005#121—92no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—91no—
1011#121—92no—
1012#121D3211yescharacteristic, complemented
1013#120—32no—
1014#120—32no—
1015#120—91no—
1016#120—92no—
1017#120—91no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—32no—
1029C4×D4—92no—
1030C4×D4—91no—
1031C4×D4—91no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4—92no—
1037#117—91no—
1038#117—92no—
1039C2×C4⋊C4—92no—
1040C2×C4⋊C4—91no—
1041C2×C22⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—22no—
1046C23×C3—32no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—64no—
1054C23×C3—122no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D311yescharacteristic
1058C23×C3C23×D311yescharacteristic
1059C23×C3C23×D312yes—
1060C23×C3C23×D312yes—
1061C22×D3—24no—
1062C22×D3—24no—
1063C22×D3—24no—
1064C22×D3—31no—
1065C22×D3—31no—
1066C22×D3—31no—
1067C22×D3—31no—
1068C22×D3—42no—
1069C22×D3—42no—
1070C22×D3—42no—
1071C22×D3—61no—
1072C22×D3—61no—
1073C22×D3—62no—
1074C22×D3—62no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—62no—
1078C22×D3—64no—
1079C22×D3—62no—
1080C22×D3—64no—
1081C22×D3—121no—
1082C22×D3—121no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3C23×D312yes—
1092C22×D3C23×D312yes—
1093C22×D3C23×D311yescharacteristic
1094C22×D3C23×D312yes—
1095C22×D3C23×D311yescharacteristic
1096C3×Q8—34no—
1097C3×D4—22no—
1098C3×D4—22no—
1099C3×D4—34no—
1100C3×D4—42no—
1101C3×D4—42no—
1102C3×D4—42no—
1103C3×D4—64no—
1104C3×D4—64no—
1105C3×D4—64no—
1106C3×D4—64no—
1107C3×D4—64no—
1108C3×D4—62no—
1109C3×D4—62no—
1110C3×D4—62no—
1111C3×D4—82no—
1112C3×D4—122no—
1113C3×D4—122no—
1114C3×D4—122no—
1115C3×D4—122no—
1116C3×D4—121no—
1117C3×D4—122no—
1118C2×C3×C4—22no—
1119C2×C3×C4—22no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—22no—
1123C2×C3×C4—32no—
1124C2×C3×C4—31no—
1125C2×C3×C4—31no—
1126C2×C3×C4—31no—
1127C2×C3×C4—31no—
1128C2×C3×C4—31no—
1129C2×C3×C4—31no—
1130C2×C3×C4—42no—
1131C2×C3×C4—64no—
1132C2×C3×C4—64no—
1133C2×C3×C4—62no—
1134C2×C3×C4—62no—
1135C2×C3×C4—122no—
1136C2×C3×C4C23×D312yes—
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D312yes—
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142#67—24no—
1143#67—22no—
1144#67—24no—
1145#67—24no—
1146#67—38no—
1147#67—42no—
1148#67—42no—
1149#67—41no—
1150#67—42no—
1151#67—42no—
1152#67—62no—
1153#67—64no—
1154#67—64no—
1155#67—62no—
1156#67—62no—
1157#67—64no—
1158#67—64no—
1159#67—64no—
1160#67—62no—
1161#67—64no—
1162#67—62no—
1163#67—64no—
1164#67—64no—
1165#67—64no—
1166#67—64no—
1167#67—64no—
1168#67—122no—
1169#67—122no—
1170#67—124no—
1171#67—121no—
1172#67—122no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—242no—
1177C2×Dic3—24no—
1178C2×Dic3—31no—
1179C2×Dic3—31no—
1180C2×Dic3—38no—
1181C2×Dic3—32no—
1182C2×Dic3—32no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—32no—
1186C2×Dic3—32no—
1187C2×Dic3—61no—
1188C2×Dic3—62no—
1189C2×Dic3—62no—
1190C2×Dic3—61no—
1191C2×Dic3—62no—
1192C2×Dic3—62no—
1193C2×Dic3—64no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—64no—
1197C2×Dic3—64no—
1198C2×Dic3—124no—
1199C2×Dic3—122no—
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D311yescharacteristic
1204C2×Dic3C23×D311yescharacteristic
1205C2×Dic3C23×D311yescharacteristic
1206C2×Dic3C23×D312yes—
1207D12—24no—
1208D12—24no—
1209D12—22no—
1210D12—22no—
1211D12—38no—
1212D12—42no—
1213D12—62no—
1214D12—62no—
1215D12—64no—
1216D12—62no—
1217D12—122no—
1218D12—121no—
1219D12D3×D414yescomplemented
1220C4×D3—22no—
1221C4×D3—22no—
1222C4×D3—24no—
1223C4×D3—38no—
1224C4×D3—34no—
1225C4×D3—34no—
1226C4×D3—42no—
1227C4×D3—64no—
1228C4×D3—62no—
1229C4×D3—62no—
1230C4×D3—62no—
1231C4×D3—62no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—122no—
1238C4×D3—122no—
1239C4×D3—122no—
1240C4×D3—122no—
1241C4×D3—242no—
1242Dic6—64no—
1243Dic6—62no—
1244Dic6—62no—
1245Dic6—62no—
1246Dic6—62no—
1247Dic6—64no—
1248Dic6—122no—
1249Dic6—122no—
1250Dic6D3×D414yescomplemented
1251C2×C32—42no—
1252C2×C32—41no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—22no—
1257C3⋊D3—41no—
1258C3×D3—22no—
1259C3×D3—24no—
1260C3×D3—41no—
1261C3×D3—42no—
1262C3×D3—42no—
1263C24—32no—
1264C24—32no—
1265C24—91no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—98no—
1271#41—184no—
1272#41—188no—
1273#41—184no—
1274#41—188no—
1275#41—184no—
1276#41—188no—
1277#41—184no—
1278C2×Q8—31no—
1279C2×Q8—92no—
1280C2×Q8—91no—
1281C2×Q8—91no—
1282C2×Q8—184no—
1283C2×D4—31no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—31no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—31no—
1293C2×D4—32no—
1294C2×D4—32no—
1295C2×D4—31no—
1296C2×D4—31no—
1297C2×D4—32no—
1298C2×D4—64no—
1299C2×D4—64no—
1300C2×D4—92no—
1301C2×D4—91no—
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—91no—
1311C2×D4—92no—
1312C2×D4—92no—
1313C2×D4—91no—
1314C2×D4—124no—
1315C2×D4—188no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—184no—
1319C2×D4—188no—
1320C2×D4—188no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4C2×D3211yescharacteristic
1324C2×D4C2×D3212yes—
1325C22×C4—32no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—32no—
1329C22×C4—32no—
1330C22×C4—91no—
1331C22×C4—92no—
1332C22×C4—92no—
1333C22×C4—92no—
1334C22×C4—92no—
1335C22×C4—91no—
1336C22×C4—91no—
1337C22×C4—92no—
1338C22×C4—91no—
1339C22×C4—92no—
1340C22×C4—91no—
1341C22×C4—92no—
1342C22×C4—184no—
1343C22×C4—188no—
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—32no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—91no—
1349C4⋊C4—92no—
1350C4⋊C4—91no—
1351C4⋊C4—91no—
1352C4⋊C4—91no—
1353C4⋊C4—92no—
1354C4⋊C4—91no—
1355C4⋊C4—92no—
1356C4⋊C4—92no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—31no—
1359C22⋊C4—31no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—31no—
1364C22⋊C4—31no—
1365C22⋊C4—91no—
1366C22⋊C4—91no—
1367C22⋊C4—91no—
1368C22⋊C4—91no—
1369C22⋊C4—92no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
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⋊C4C2×D3212yes—
1382C42—31no—
1383C42—32no—
1384C42—31no—
1385C42—92no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—21no—
1394C22×C3—22no—
1395C22×C3—21no—
1396C22×C3—22no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—34no—
1400C22×C3—32no—
1401C22×C3—42no—
1402C22×C3—41no—
1403C22×C3—42no—
1404C22×C3—41no—
1405C22×C3—42no—
1406C22×C3—41no—
1407C22×C3—61no—
1408C22×C3—61no—
1409C22×C3—62no—
1410C22×C3—62no—
1411C22×C3—61no—
1412C22×C3—62no—
1413C22×C3—62no—
1414C22×C3—62no—
1415C22×C3—61no—
1416C22×C3—62no—
1417C22×C3—62no—
1418C22×C3—61no—
1419C22×C3—62no—
1420C22×C3—128no—
1421C22×C3—244no—
1422C22×C3C24×D311yescharacteristic
1423C22×C3C24×D311yescharacteristic
1424C2×D3—21no—
1425C2×D3—22no—
1426C2×D3—21no—
1427C2×D3—22no—
1428C2×D3—21no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—21no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—32no—
1438C2×D3—32no—
1439C2×D3—48no—
1440C2×D3—62no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—61no—
1445C2×D3—61no—
1446C2×D3—61no—
1447C2×D3—61no—
1448C2×D3—61no—
1449C2×D3—61no—
1450C2×D3—61no—
1451C2×D3—84no—
1452C2×D3—121no—
1453C2×D3—121no—
1454C2×D3—121no—
1455C2×D3—121no—
1456C2×D3—121no—
1457C2×D3—124no—
1458C2×D3—124no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3C2×D3×D414yes—
1464C2×D3#100412yescomplemented
1465C3×C4—21no—
1466C3×C4—21no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—34no—
1471C3×C4—41no—
1472C3×C4—42no—
1473C3×C4—61no—
1474C3×C4—61no—
1475C3×C4—61no—
1476C3×C4—61no—
1477C3×C4—61no—
1478C3×C4—61no—
1479C3×C4C2×D3×D412yes—
1480C3×C4C2×D3×D412yes—
1481Dic3—21no—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—32no—
1488Dic3—32no—
1489Dic3—62no—
1490Dic3—62no—
1491Dic3—62no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—62no—
1495Dic3—62no—
1496Dic3—121no—
1497Dic3—122no—
1498Dic3—122no—
1499Dic3C2×D3×D414yes—
1500C32#348811yescharacteristic, complemented, Sylow
1501C23—32no—
1502C23—31no—
1503C23—32no—
1504C23—32no—
1505C23—31no—
1506C23—64no—
1507C23—64no—
1508C23—64no—
1509C23—91no—
1510C23—91no—
1511C23—122no—
1512C23—122no—
1513C23—122no—
1514C23—182no—
1515C23—184no—
1516C23—182no—
1517C23—184no—
1518C23—361no—
1519C23—362no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23C22×D3211yescharacteristic
1524C23C22×D3212yes—
1525Q8—34no—
1526Q8—182no—
1527Q8—184no—
1528Q8—182no—
1529D4—22no—
1530D4—34no—
1531D4—42no—
1532D4—64no—
1533D4—64no—
1534D4—64no—
1535D4—64no—
1536D4—64no—
1537D4—62no—
1538D4—62no—
1539D4—62no—
1540D4—98no—
1541D4—122no—
1542D4—122no—
1543D4—122no—
1544D4—122no—
1545D4—121no—
1546D4—122no—
1547D4—182no—
1548D4—184no—
1549D4—182no—
1550D4—182no—
1551D4—184no—
1552D4—182no—
1553D4—184no—
1554D4—184no—
1555D4—184no—
1556D4—184no—
1557D4—361no—
1558D4—362no—
1559D4—362no—
1560C2×C4—22no—
1561C2×C4—32no—
1562C2×C4—31no—
1563C2×C4—31no—
1564C2×C4—31no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—64no—
1569C2×C4—64no—
1570C2×C4—62no—
1571C2×C4—62no—
1572C2×C4—98no—
1573C2×C4—91no—
1574C2×C4—94no—
1575C2×C4—92no—
1576C2×C4—92no—
1577C2×C4—91no—
1578C2×C4—122no—
1579C2×C4—184no—
1580C2×C4—184no—
1581C2×C4—182no—
1582C2×C4—182no—
1583C2×C4—182no—
1584C2×C4—184no—
1585C2×C4—184no—
1586C2×C4—182no—
1587C2×C4—362no—
1588C2×C4—362no—
1589C2×C4C22×D3212yes—
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C3—21no—
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—42no—
1596C2×C3—41no—
1597C2×C3—42no—
1598C2×C3—41no—
1599C2×C3—62no—
1600C2×C3—64no—
1601C2×C3—82no—
1602C2×C3—81no—
1603C2×C3—121no—
1604C2×C3—122no—
1605C2×C3—122no—
1606C2×C3C22×D3×D411yescharacteristic
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C2×#100411yescharacteristic
1609C2×C3#596411yescharacteristic
1610C2×C3D3×H(5,𝔽2)11yescharacteristic
1611C2×C3#596611yescharacteristic
1612D3—22no—
1613D3—24no—
1614D3—42no—
1615D3—41no—
1616D3—42no—
1617D3—62no—
1618D3—62no—
1619D3—122no—
1620D3—121no—
1621D3—121no—
1622D3—241no—
1623C22—21no—
1624C22—22no—
1625C22—21no—
1626C22—22no—
1627C22—22no—
1628C22—21no—
1629C22—34no—
1630C22—32no—
1631C22—61no—
1632C22—62no—
1633C22—61no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—61no—
1641C22—61no—
1642C22—62no—
1643C22—62no—
1644C22—92no—
1645C22—128no—
1646C22—181no—
1647C22—181no—
1648C22—181no—
1649C22—181no—
1650C22—181no—
1651C22—244no—
1652C22—364no—
1653C22—724no—
1654C22—724no—
1655C22C23×D3211yescharacteristic
1656C4—21no—
1657C4—22no—
1658C4—34no—
1659C4—61no—
1660C4—61no—
1661C4—61no—
1662C4—61no—
1663C4—61no—
1664C4—61no—
1665C4—92no—
1666C4—181no—
1667C4—182no—
1668C4—182no—
1669C4D32×D412yes—
1670C3—21no—
1671C3#8660711yescharacteristic, complemented
1672C3#8676911yescharacteristic, complemented
1673C2—42no—
1674C2—41no—
1675C2—62no—
1676C2—64no—
1677C2—122no—
1678C2—121no—
1679C2—122no—
1680C2—182no—
1681C2—361no—
1682C2C2×D32×D411yescharacteristic
1683C2D3×#100411yescharacteristic
1684C2#1059669611yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×D3×#237C2semidirect
2. C2×#64307C2semidirect
3. #10596079C2semidirect
4. C3×#5609C2semidirect
5. C3×#5599C2semidirect
6. #10595309C2semidirect
7. #10595294C2semidirect
8. #10595293C2semidirect
9. #10595293C2semidirect
10. #10595286C2semidirect
11. D3×#939C2semidirect
12. #10595158C2semidirect
13. #10595076C2semidirect
14. #10594899C2semidirect
15. #10594886C2semidirect
16. #10594630C2semidirect
17. #10594612C2semidirect
18. #10594382C2semidirect
19. #10594361C2semidirect
20. #10594283C2semidirect
21. #10594275C2semidirect
22. #10594060C2semidirect
23. #10594054C2semidirect
26. C2×#3830C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×D12C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×#3805C22semidirect
38. C2×#3804C22semidirect
39. C22×D3×Dic3C22semidirect
42. C2×#3802C22semidirect
43. C2×#3802C22semidirect
44. C2×#3802C22semidirect
45. C2×D3×D12C22semidirect
46. C2×C4×D32C22semidirect
48. C2×#3796C22semidirect
49. C2×#3795C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×#121C22semidirect
53. #64148C22semidirect
54. #64147C22semidirect
55. #64147C22semidirect
56. #64133C22semidirect
57. #64106C22semidirect
58. C4⋊C4×C3⋊D3C22semidirect
59. #64093C22semidirect
60. #64087C22semidirect
61. C3×#940C22semidirect
62. C3×#940C22semidirect
63. C3×#940C22semidirect
64. C3×#939C22semidirect
65. C3×#937C22semidirect
66. C3×C4×#67C22semidirect
67. C3×C4×#67C22semidirect
68. C3×#895C22semidirect
69. C3×#895C22semidirect
70. C3×#893C22semidirect
71. C3×#887C22semidirect
72. C3×#884C22semidirect
73. C3×#884C22semidirect
74. C3×#882C22semidirect
75. C3×#67⋊C4C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63983C22semidirect
79. #63983C22semidirect
80. #63980C22semidirect
81. #63980C22semidirect
82. #63979C22semidirect
83. #63978C22semidirect
84. #63976C22semidirect
85. #63976C22semidirect
86. #63975C22semidirect
87. Dic3×#67C22semidirect
88. #63971C22semidirect
89. #63971C22semidirect
90. #63970C22semidirect
91. #63970C22semidirect
92. #63970C22semidirect
93. D3×#217C22semidirect
94. #63959C22semidirect
95. #63923C22semidirect
96. #63922C22semidirect
97. #63921C22semidirect
98. D3×(C2×D3)⋊C4C22semidirect
99. #63908C22semidirect
100. #63908C22semidirect
101. #63908C22semidirect
102. C4×#626C22semidirect
103. C4×#626C22semidirect
104. C4×#626C22semidirect
105. #63897C22semidirect
106. #63896C22semidirect
107. #63896C22semidirect
108. #63893C22semidirect
109. Dic3×D12C22semidirect
110. Dic3×D12C22semidirect
111. #63891C22semidirect
112. #63886C22semidirect
113. #63885C22semidirect
114. #63885C22semidirect
115. #63885C22semidirect
116. #63884C22semidirect
117. #63881C22semidirect
118. #63879C22semidirect
119. #63877C22semidirect
120. D3×Dic3⋊C4C22semidirect
121. #63874C22semidirect
122. #63860C22semidirect
123. #63860C22semidirect
124. #63852C22semidirect
125. #63851C22semidirect
126. Dic3×Dic6C22semidirect
149. #5609D3semidirect
157. #5599D3semidirect
252. #3796D4semidirect
325. C2×#237C2×D3semidirect
337. C2×D3×D4C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
345. C2×#235C2×D3semidirect
347. C22×D12C2×D3semidirect
361. C3×#121C2×D3semidirect
362. C3×#121C2×D3semidirect
376. #940C2×D3semidirect
377. #940C2×D3semidirect
378. #940C2×D3semidirect
396. #939C2×D3semidirect
420. #937C2×D3semidirect
437. C4×#67C2×D3semidirect
438. C4×#67C2×D3semidirect
453. #895C2×D3semidirect
454. #895C2×D3semidirect
459. #893C2×D3semidirect
464. #887C2×D3semidirect
476. #884C2×D3semidirect
477. #884C2×D3semidirect
484. #882C2×D3semidirect
487. #67⋊C4C2×D3semidirect
553. C4×C3⋊D3C2×D4semidirect
578. C3×D12C2×D4semidirect
583. C3×Dic6C2×D4semidirect
588. #626C2×D4semidirect
601. D3×Dic3C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
1012. #121D32semidirect
1219. D12D3×D4semidirect
1250. Dic6D3×D4semidirect
1464. C2×D3#1004semidirect
1500. C32#3488semidirect
1671. C3#86607semidirect
1672. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2372
C2×#643072
#105960792
C3×#56092
C3×#55992
#105953092
#105952942
#105952932
#105952862
D3×#9392
#105951582
#105950762
#105948992
#105948862
#105946302
#105946122
#105943822
#105943612
#105942832
#105942752
#105940602
#105940542
#867693
#866073