Finite Group Databasebeta

← #11904688

Subgroups — #11904688

Order 1152.

3472 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×#64307C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596024C211yesmaximal, characteristic, complemented
4C3×#5550C211yesmaximal, characteristic, complemented
5C3×#5547C211yesmaximal, characteristic, complemented
6#10595289C212yesmaximal, complemented
7#10595285C212yesmaximal, complemented
8#10595067C211yesmaximal, characteristic, complemented
9D12×#67C211yesmaximal, characteristic, complemented
10D3×#930C211yesmaximal, characteristic, complemented
11#10594919C211yesmaximal, characteristic, complemented
12#10594916C211yesmaximal, characteristic, complemented
13#10594894C211yesmaximal, characteristic, complemented
14#10594616C212yesmaximal, complemented
15#10594615C212yesmaximal, complemented
16#10594275C212yesmaximal, complemented
17#10594272C212yesmaximal, complemented
18D3×#884C212yesmaximal, complemented
19#10594059C212yesmaximal, complemented
20D122C211yesmaximal, characteristic, complemented
21#10594001C211yesmaximal, characteristic, complemented
22#10593905C211yesmaximal, characteristic, complemented
23#10593887C211yesmaximal, characteristic, complemented
24#86629—31nomaximal
25#86041—31nomaximal
26C2×#3828C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#235C2211yescharacteristic, complemented
29C2×C3×#235C2211yescharacteristic, complemented
30C22×C3×D12C2211yescharacteristic, complemented
31C22×C3×C4×D3C2211yescharacteristic, complemented
32C2×D3×#67C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×#3804C2212yescomplemented
38#64307—28no—
39D3×#235—28no—
40C2×#3802C2212yescomplemented
41C2×D3×D12C2211yescharacteristic, complemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3798C2212yescomplemented
48C2×#3796C2212yescomplemented
49C2×#3795C2211yescharacteristic
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64149C2212yescomplemented
54#64139C2211yescharacteristic, complemented
55#64139C2211yescharacteristic, complemented
56#64102C2212yescomplemented
57#64093C2212yescomplemented
58#64093C2212yescomplemented
59#64083C2211yescharacteristic, complemented
60C4×#634C2211yescharacteristic, complemented
61C3×#939C2211yescharacteristic, complemented
62C3×#937C2211yescharacteristic, complemented
63C3×#937C2212yescomplemented
64C3×#930C2211yescharacteristic, complemented
65C3×C4×#67C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#924C2211yescharacteristic, complemented
68C3×#896C2211yescharacteristic, complemented
69C3×#894C2212yescomplemented
70C3×#894C2211yescharacteristic, complemented
71C3×#884C2212yescomplemented
72C3×#884C2211yescharacteristic, complemented
73C3×#883C2211yescharacteristic, complemented
74C3×#882C2211yescharacteristic, complemented
75C3×D3×C22⋊C4C2212yescomplemented
76C3×#878C2211yescharacteristic, complemented
77C3×#875C2211yescharacteristic, complemented
78C3×C4×D12C2211yescharacteristic, complemented
79C3×C4×D12C2211yescharacteristic, complemented
80C3×#872C2211yescharacteristic, complemented
81#63983C2212yescomplemented
82#63979C2212yescomplemented
83#63978C2212yescomplemented
84#63977C2212yescomplemented
85#63971C2212yescomplemented
86#63971C2212yescomplemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63958C2212yescomplemented
90#63953C2212yescomplemented
91#63923C2212yescomplemented
92#63923C2212yescomplemented
93#63923C2212yescomplemented
94#63923C2212yescomplemented
95#63922C2212yescomplemented
96D3×(C2×D3)⋊C4C2212yescomplemented
97D3×(C2×D3)⋊C4C2212yescomplemented
98#63915C2212yescomplemented
99#63912C2212yescomplemented
100#63911C2211yescharacteristic, complemented
101#63910C2212yescomplemented
102#63910C2212yescomplemented
103#63909C2212yescomplemented
104#63909C2211yescharacteristic, complemented
105#63909C2211yescharacteristic, complemented
106#63908C2211yescharacteristic, complemented
107#63906C2212yescomplemented
108#63902C2212yescomplemented
109#63902C2212yescomplemented
110#63899C2212yescomplemented
111Dic3×D12C2211yescharacteristic, complemented
112D3×C4⋊Dic3C2211yescharacteristic, complemented
113#63888C2212yescomplemented
114#63886C2212yescomplemented
115#63886C2212yescomplemented
116#63885C2212yescomplemented
117#63881C2212yescomplemented
118#63881C2212yescomplemented
119#63879C2212yescomplemented
120#63878C2212yescomplemented
121D3×Dic3⋊C4C2212yescomplemented
122#63865C2212yescomplemented
123#63864C2211yescharacteristic, complemented
124#63856C2211yescharacteristic, complemented
125#63850C2212yescomplemented
126#63844C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#546—31no—
132C3×#525—31no—
133#5833—31no—
134#5829—31no—
135D4×#67—31no—
136C2×#930—31no—
137#5677—31no—
138#5674—31no—
139#5656—32no—
140#5654—32no—
141#5654—32no—
142#5654—32no—
143#5633—31no—
144#5629—31no—
145#5629—32no—
146#5627—32no—
147#5609—32no—
148#5607—32no—
149D3×#121—31no—
150D3×#121—32no—
151#5599—31no—
152#5597—32no—
153#5592—32no—
154#5590—32no—
155#5590—32no—
156#5590—32no—
157#5553—31no—
158#5553—31no—
159#5553—31no—
160#5553—61no—
161#5552—31no—
162#5552—31no—
163#5550—31no—
164#5550D311yescharacteristic, complemented
165D4×D12—31no—
166D4×D12—31no—
167D4×D12—31no—
168#5547D311yescharacteristic, complemented
169#5546—31no—
170#5525—31no—
171#5523—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3×D3C2311yescharacteristic
175C23×C3×D3C2312yes—
176C22×D32C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184C2×#638C2312yes—
185C2×#638C2312yes—
186#3828—24no—
187#3828—24no—
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4⋊(C3⋊D3)C2312yes—
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4×C3⋊D3C2312yes—
193C2×C4×C3⋊D3C2312yes—
194C2×#634C2311yescharacteristic
195C2×C3×#67C2311yescharacteristic
196C2×C3×#67C2311yescharacteristic
197C2×C3×#67C2312yes—
198C2×C3×#67C2311yescharacteristic
199C2×C3×#67C2311yescharacteristic
200C2×C3×#67C2312yes—
201C22×C3×Dic3C2311yescharacteristic
202C3×#235—24no—
203C3×#235—24no—
204C2×C3×D12—24no—
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2312yes—
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2311yescharacteristic
210C2×C3×C4×D3—24no—
211C2×C3×C4×D3C2312yes—
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220D3×#67—28no—
221D3×#67—28no—
222D3×#67—28no—
223D3×#67—44no—
224D3×#67—44no—
225C2×#627C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#625C2312yes—
235C2×#625C2312yes—
236C2×#625C2312yes—
237C2×#624C2312yes—
238#3804—28no—
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244#3802—28no—
245D3×D12—24no—
246D3×D12—24no—
247D3×D12—24no—
248D3×D12—44no—
249C4×D32—28no—
250#3799—24no—
251#3798—28no—
252#3796—28no—
253#3795—24no—
254#3795D418yescomplemented
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2311yescharacteristic
258C32×C22⋊C4C2311yescharacteristic
259C32×C42C2311yescharacteristic
260#3752C2312yes—
261#3752C2312yes—
262C4⋊(C3⋊Dic3)C2311yescharacteristic
263#3750C2312yes—
264C4×C3⋊Dic3C2312yes—
265C3×#217C2311yescharacteristic
266C3×#217C2312yes—
267C3×#217C2311yescharacteristic
268C3×(C2×D3)⋊C4C2312yes—
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×(C2×D3)⋊C4C2312yes—
276C3×(C2×D3)⋊C4C2311yescharacteristic
277C3×(C2×D3)⋊C4C2311yescharacteristic
278C3×C4⋊Dic3C2311yescharacteristic
279C3×C4⋊Dic3C2311yescharacteristic
280C3×Dic3⋊C4C2311yescharacteristic
281C3×Dic3⋊C4C2311yescharacteristic
282C3×Dic3⋊C4C2311yescharacteristic
283C3×Dic3⋊C4C2312yes—
284C3×Dic3⋊C4C2311yescharacteristic
285C3×C4×Dic3C2311yescharacteristic
286#3724C2312yes—
287#3724C2312yes—
288Dic3⋊Dic3C2312yes—
289#3722C2312yes—
290#3722C2312yes—
291#3722C2312yes—
292#3722C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C23×C3×C4—31no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307#1009—68no—
308D3×#41—68no—
309C2×#239—32no—
310C2×#239—31no—
311C2×D3×Q8—31no—
312#1004—68no—
313C2×#237—32no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—32no—
317C2×D3×D4—32no—
318C2×D3×D4—32no—
319C2×D3×D4—32no—
320C2×D3×D4—32no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—31no—
325C2×D3×D4—31no—
326C2×D3×D4—31no—
327C2×D3×D4—32no—
328C2×#235—31no—
329C2×#235—31no—
330C2×#235—31no—
331C2×#235—31no—
332C2×#235—32no—
333C2×#235—31no—
334C2×#235—31no—
335C2×#235—32no—
336C2×#235—32no—
337C2×#235—31no—
338C2×#235—61no—
339C2×#235—61no—
340C2×#235—68no—
341C2×#235C2×D311yescharacteristic, complemented
342C2×#235C2×D311yescharacteristic, complemented
343C22×D12—31no—
344C22×D12—31no—
345C22×D12—31no—
346C22×D12—32no—
347C22×D12C2×D311yescharacteristic, complemented
348C22×C4×D3—32no—
349C22×C4×D3—32no—
350C22×C4×D3C2×D311yescharacteristic, complemented
351C22×Dic6—31no—
352C3×#124—31no—
353C3×#123—31no—
354C3×#123—32no—
355C3×#123—31no—
356C3×C22⋊Q8—31no—
357C3×C22⋊Q8—31no—
358C3×C22⋊Q8—31no—
359C3×#121—31no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121—31no—
363C3×#120—31no—
364C3×#120—32no—
365C3×#120—31no—
366C3×C4×D4—21no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—31no—
370C3×C4×D4—31no—
371C3×C4×D4C2×D311yescharacteristic, complemented
372C3×C4×D4C2×D311yescharacteristic, complemented
373C3×#117—31no—
374C2×C3×C22⋊C4—32no—
375#953—32no—
376#947—31no—
377#946—31no—
378#946—32no—
379#940—32no—
380#940—32no—
381#940—32no—
382#940—32no—
383#940—31no—
384#940—62no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—32no—
393#939C2×D311yescharacteristic, complemented
394#938—31no—
395#938—32no—
396#937—32no—
397#937—32no—
398#937—32no—
399#937C2×D311yescharacteristic, complemented
400#937C2×D312yescomplemented
401D4×Dic3—31no—
402#930—31no—
403#930—31no—
404#930—31no—
405#930—31no—
406#930—32no—
407#930—31no—
408#930—32no—
409#930—32no—
410#930—31no—
411#930—31no—
412#930—61no—
413#930—61no—
414#930C2×D311yescharacteristic, complemented
415#929—32no—
416C4×#67—32no—
417C4×#67C2×D311yescharacteristic, complemented
418C4×#67C2×D311yescharacteristic, complemented
419C2×(C2×D3)⋊C4—32no—
420C2×(C2×D3)⋊C4—32no—
421C2×C4⋊Dic3—31no—
422#924—31no—
423#924C2×D311yescharacteristic, complemented
424C2×Dic3⋊C4—32no—
425#896—32no—
426#896—32no—
427#896—32no—
428#896—32no—
429#896C2×D311yescharacteristic, complemented
430#895—32no—
431#895—32no—
432#895—31no—
433#895—32no—
434#895—31no—
435#895—32no—
436#895—32no—
437#894—32no—
438#894C2×D311yescharacteristic, complemented
439#894C2×D312yescomplemented
440#893—32no—
441#893—32no—
442#893—32no—
443#893—32no—
444#893—62no—
445#892—32no—
446D3×C4⋊C4—32no—
447D3×C4⋊C4—31no—
448#887—31no—
449#885—32no—
450#885—32no—
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—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—32no—
467#884—32no—
468#884—62no—
469#884—62no—
470#884C2×D311yescharacteristic, complemented
471#884C2×D312yescomplemented
472#883C2×D311yescharacteristic, complemented
473#882—32no—
474#882—32no—
475#882—32no—
476#882—32no—
477#882—32no—
478#882—32no—
479#882—32no—
480#882—32no—
481#882—32no—
482#882—32no—
483#882C2×D311yescharacteristic, complemented
484#67⋊C4—32no—
485#67⋊C4—32no—
486#67⋊C4—32no—
487#67⋊C4—32no—
488#67⋊C4—32no—
489#67⋊C4—32no—
490#67⋊C4—32no—
491D3×C22⋊C4—32no—
492D3×C22⋊C4—32no—
493D3×C22⋊C4C2×D312yescomplemented
494#878—32no—
495#878C2×D311yescharacteristic, complemented
496#877—32no—
497#875—31no—
498#875C2×D311yescharacteristic, complemented
499#874—31no—
500#874—31no—
501#874—31no—
502#874—61no—
503C4×D12—31no—
504C4×D12C2×D311yescharacteristic, complemented
505C4×D12C2×D311yescharacteristic, complemented
506#872C2×D311yescharacteristic, complemented
507C4×Dic6—31no—
508C4×Dic6—31no—
509C4×Dic6—31no—
510C4×Dic6—61no—
511C23×C32C2411yescharacteristic
512C23×C32C2411yescharacteristic
513C22×C3⋊D3C2412yes—
514C22×C3⋊D3C2412yes—
515C22×C3×D3—22no—
516C22×C3×D3—22no—
517C22×C3×D3—24no—
518C22×C3×D3—41no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3C2411yescharacteristic
522C22×C3×D3C2412yes—
523C22×C3×D3C2412yes—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C2×D32—24no—
527C2×D32—24no—
528C2×D32—24no—
529C2×D32—24no—
530C2×D32—42no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—41no—
536C2×C32×C4—22no—
537C2×C32×C4—22no—
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542C2×C32×C4C2411yescharacteristic
543#638—24no—
544#638—24no—
545#638—42no—
546#638—42no—
547C2×C3⋊Dic3C2412yes—
548C2×C3⋊Dic3C2412yes—
549C4⋊(C3⋊D3)—22no—
550C4⋊(C3⋊D3)—22no—
551C4⋊(C3⋊D3)—42no—
552C4⋊(C3⋊D3)—42no—
553C4×C3⋊D3—24no—
554C4×C3⋊D3—24no—
555#634C2×D414yescomplemented
556C3×#67—24no—
557C3×#67—22no—
558C3×#67—22no—
559C3×#67—22no—
560C3×#67—42no—
561C3×#67—41no—
562C2×C3×Dic3—22no—
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2412yes—
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2411yescharacteristic
570C3×D12—24no—
571C3×D12—22no—
572C3×D12—22no—
573C3×D12—22no—
574C3×D12C2×D414yescomplemented
575C3×C4×D3—22no—
576C3×C4×D3—24no—
577C3×C4×D3—22no—
578C3×C4×D3—22no—
579C3×C4×D3—22no—
580C3×C4×D3—42no—
581C3×C4×D3C2×D414yescomplemented
582C3×Dic6—22no—
583C3×Dic6—22no—
584#627—24no—
585#626—24no—
586#626—24no—
587#626—24no—
588#626—24no—
589#626—24no—
590#626—42no—
591#626—42no—
592#626—42no—
593#625—24no—
594#625—24no—
595#625C2×D418yescomplemented
596#624—24no—
597D3×Dic3—24no—
598D3×Dic3—24no—
599D3×Dic3—42no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
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—91no—
611#546—92no—
612D42—91no—
613D42—91no—
614D42—92no—
615D42—92no—
616#537—92no—
617#537—91no—
618#535—91no—
619#535—92no—
620#525—31no—
621#525—92no—
622C2×#121—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—31no—
626C24×C3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3C22×D311yescharacteristic
634C23×D3C22×D312yes—
635C3×#41—64no—
636C3×#41—64no—
637C2×C3×Q8—31no—
638C2×C3×Q8—31no—
639C2×C3×D4—21no—
640C2×C3×D4—32no—
641C2×C3×D4—31no—
642C2×C3×D4—31no—
643C2×C3×D4—31no—
644C2×C3×D4—31no—
645C2×C3×D4—32no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—31no—
649C2×C3×D4—31no—
650C2×C3×D4—31no—
651C2×C3×D4—64no—
652C2×C3×D4C22×D311yescharacteristic
653C2×C3×D4C22×D311yescharacteristic
654C22×C3×C4—21no—
655C22×C3×C4—21no—
656C22×C3×C4—31no—
657C22×C3×C4—31no—
658C22×C3×C4—31no—
659C22×C3×C4—31no—
660C22×C3×C4—32no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C22×C3×C4—64no—
665C22×C3×C4C22×D311yescharacteristic
666C22×C3×C4C22×D311yescharacteristic
667C22×C3×C4C22×D311yescharacteristic
668C22×C3×C4C22×D311yescharacteristic
669C2×#67—32no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
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—32no—
690C2×#67—32no—
691C2×#67—62no—
692C2×#67—62no—
693C2×#67—62no—
694C2×#67—62no—
695C2×#67—68no—
696C2×#67—68no—
697C2×#67—68no—
698C2×#67—124no—
699C2×#67—124no—
700C2×#67C22×D311yescharacteristic
701C2×#67C22×D311yescharacteristic
702C2×#67C22×D311yescharacteristic
703C2×#67C22×D312yes—
704C2×#67C22×D311yescharacteristic
705C2×#67C22×D312yes—
706C22×Dic3—32no—
707C22×Dic3—32no—
708C22×Dic3—32no—
709C22×Dic3—32no—
710C22×Dic3—32no—
711C22×Dic3C22×D311yescharacteristic
712#239—68no—
713#239—64no—
714D3×Q8—64no—
715#237—38no—
716#237—68no—
717#237—64no—
718#237—68no—
719D3×D4—64no—
720D3×D4—64no—
721D3×D4—68no—
722D3×D4—68no—
723D3×D4—68no—
724D3×D4—68no—
725D3×D4—68no—
726D3×D4—64no—
727D3×D4—124no—
728D3×D4—124no—
729D3×D4—124no—
730#235—24no—
731#235—24no—
732#235—38no—
733#235—64no—
734#235—64no—
735#235—64no—
736#235—64no—
737#235—64no—
738#235—64no—
739#235—68no—
740#235—68no—
741#235—68no—
742#235—124no—
743#235—124no—
744C2×D12—24no—
745C2×D12—32no—
746C2×D12—32no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—31no—
751C2×D12—31no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—32no—
758C2×D12—32no—
759C2×D12—32no—
760C2×D12—32no—
761C2×D12—62no—
762C2×D12—61no—
763C2×D12—61no—
764C2×D12—62no—
765C2×D12—64no—
766C2×D12—64no—
767C2×D12—64no—
768C2×D12—124no—
769C2×D12C22×D311yescharacteristic
770C2×D12C22×D311yescharacteristic
771C2×D12C22×D312yes—
772C2×D12C22×D311yescharacteristic
773C2×D12C22×D311yescharacteristic
774C2×C4×D3—24no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—62no—
787C2×C4×D3—62no—
788C2×C4×D3—68no—
789C2×C4×D3—68no—
790C2×C4×D3C22×D311yescharacteristic
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D312yes—
794C2×C4×D3C22×D311yescharacteristic
795C2×C4×D3C22×D312yes—
796C2×C4×D3C22×D311yescharacteristic
797C2×Dic6—31no—
798C2×Dic6—31no—
799C2×Dic6—32no—
800C2×Dic6—32no—
801C2×Dic6—61no—
802C2×Dic6—64no—
803C2×Dic6C22×D311yescharacteristic
804C2×Dic6C22×D311yescharacteristic
805C3×C4⋊C4—21no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—31no—
810C3×C4⋊C4—32no—
811C3×C4⋊C4—31no—
812C3×C4⋊C4—31no—
813C3×C4⋊C4C22×D311yescharacteristic
814C3×C4⋊C4C22×D311yescharacteristic
815C3×C22⋊C4—21no—
816C3×C22⋊C4—21no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—31no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—32no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—31no—
823C3×C22⋊C4—32no—
824C3×C22⋊C4—31no—
825C3×C22⋊C4—31no—
826C3×C22⋊C4—31no—
827C3×C22⋊C4—31no—
828C3×C22⋊C4—32no—
829C3×C22⋊C4—31no—
830C3×C22⋊C4C22×D311yescharacteristic
831C3×C22⋊C4C22×D311yescharacteristic
832C3×C22⋊C4C22×D311yescharacteristic
833C3×C22⋊C4C22×D311yescharacteristic
834C3×C42—21no—
835C3×C42—31no—
836C3×C42C22×D311yescharacteristic
837C3×C42C22×D311yescharacteristic
838#217—32no—
839#217—32no—
840#217—32no—
841#217C22×D311yescharacteristic
842#217C22×D312yes—
843#217C22×D311yescharacteristic
844(C2×D3)⋊C4—32no—
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—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—62no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4C22×D311yescharacteristic
862(C2×D3)⋊C4C22×D311yescharacteristic
863(C2×D3)⋊C4C22×D311yescharacteristic
864(C2×D3)⋊C4C22×D312yes—
865(C2×D3)⋊C4C22×D311yescharacteristic
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D312yes—
868(C2×D3)⋊C4C22×D312yes—
869(C2×D3)⋊C4C22×D311yescharacteristic
870(C2×D3)⋊C4C22×D311yescharacteristic
871C4⋊Dic3—31no—
872C4⋊Dic3—31no—
873C4⋊Dic3—32no—
874C4⋊Dic3—61no—
875C4⋊Dic3C22×D311yescharacteristic
876C4⋊Dic3C22×D311yescharacteristic
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—32no—
881Dic3⋊C4—32no—
882Dic3⋊C4—32no—
883Dic3⋊C4—32no—
884Dic3⋊C4—62no—
885Dic3⋊C4C22×D311yescharacteristic
886Dic3⋊C4C22×D311yescharacteristic
887Dic3⋊C4C22×D311yescharacteristic
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D312yes—
890C4×Dic3—32no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—62no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32—21no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—22no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—22no—
909C2×C3×D3—21no—
910C2×C3×D3—21no—
911C2×C3×D3—22no—
912C2×C3×D3—21no—
913C2×C3×D3—22no—
914C2×C3×D3—21no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—22no—
920C2×C3×D3—21no—
921C2×C3×D3—44no—
922C2×C3×D3—84no—
923C2×C3×D3C22×D414yes—
924C2×C3×D3C22×D412yes—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—48no—
927D32—84no—
928D32—84no—
929C32×C4—21no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4—21no—
933C32×C4C22×D412yes—
934C3⋊Dic3—22no—
935C3⋊Dic3C22×D414yes—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—92no—
947C2×#41—91no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—91no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—91no—
958C22×D4—91no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—92no—
967C23×C4—31no—
968C23×C4—92no—
969#127—91no—
970#127—92no—
971#127—92no—
972#127—91no—
973#124—31no—
974#124—91no—
975#124—92no—
976#124—92no—
977#123—31no—
978#123—32no—
979#123—31no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—31no—
984C22⋊Q8—92no—
985C22⋊Q8—92no—
986C22⋊Q8—92no—
987C22⋊Q8—91no—
988#121—31no—
989#121—31no—
990#121—31no—
991#121—32no—
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—92no—
1007#121—92no—
1008#121—91no—
1009#121—91no—
1010#121—91no—
1011#121—92no—
1012#121—92no—
1013#120—31no—
1014#120—32no—
1015#120—31no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—91no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—91no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4D3211yescharacteristic, complemented
1037#117—31no—
1038#117—92no—
1039C2×C4⋊C4—92no—
1040C2×C4⋊C4—91no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—32no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—31no—
1050C23×C3—32no—
1051C23×C3—62no—
1052C23×C3—62no—
1053C23×C3—64no—
1054C23×C3—121no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D311yescharacteristic
1058C23×C3C23×D311yescharacteristic
1059C23×C3C23×D311yescharacteristic
1060C23×C3C23×D311yescharacteristic
1061C22×D3—22no—
1062C22×D3—22no—
1063C22×D3—24no—
1064C22×D3—32no—
1065C22×D3—32no—
1066C22×D3—32no—
1067C22×D3—32no—
1068C22×D3—41no—
1069C22×D3—42no—
1070C22×D3—42no—
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—64no—
1081C22×D3—122no—
1082C22×D3—122no—
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×D311yescharacteristic
1092C22×D3C23×D312yes—
1093C22×D3C23×D312yes—
1094C22×D3C23×D311yescharacteristic
1095C22×D3C23×D311yescharacteristic
1096C3×Q8—62no—
1097C3×Q8—62no—
1098C3×D4—34no—
1099C3×D4—41no—
1100C3×D4—41no—
1101C3×D4—42no—
1102C3×D4—62no—
1103C3×D4—64no—
1104C3×D4—62no—
1105C3×D4—62no—
1106C3×D4—62no—
1107C3×D4—64no—
1108C3×D4—62no—
1109C3×D4—62no—
1110C3×D4—122no—
1111C3×D4—121no—
1112C2×C3×C4—22no—
1113C2×C3×C4—22no—
1114C2×C3×C4—22no—
1115C2×C3×C4—22no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—31no—
1122C2×C3×C4—34no—
1123C2×C3×C4—31no—
1124C2×C3×C4—32no—
1125C2×C3×C4—31no—
1126C2×C3×C4—31no—
1127C2×C3×C4—32no—
1128C2×C3×C4—31no—
1129C2×C3×C4—42no—
1130C2×C3×C4—42no—
1131C2×C3×C4—62no—
1132C2×C3×C4—64no—
1133C2×C3×C4—62no—
1134C2×C3×C4—62no—
1135C2×C3×C4—62no—
1136C2×C3×C4—62no—
1137C2×C3×C4—122no—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142C2×C3×C4C23×D311yescharacteristic
1143C2×C3×C4C23×D311yescharacteristic
1144C2×C3×C4C23×D311yescharacteristic
1145C2×C3×C4C23×D311yescharacteristic
1146C2×C3×C4C23×D311yescharacteristic
1147C2×C3×C4C23×D311yescharacteristic
1148#67—24no—
1149#67—22no—
1150#67—22no—
1151#67—22no—
1152#67—38no—
1153#67—38no—
1154#67—42no—
1155#67—41no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—64no—
1160#67—64no—
1161#67—64no—
1162#67—64no—
1163#67—64no—
1164#67—64no—
1165#67—64no—
1166#67—64no—
1167#67—64no—
1168#67—64no—
1169#67—124no—
1170#67—124no—
1171#67—122no—
1172#67—122no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—242no—
1179#67—242no—
1180C2×Dic3—22no—
1181C2×Dic3—32no—
1182C2×Dic3—32no—
1183C2×Dic3—38no—
1184C2×Dic3—32no—
1185C2×Dic3—32no—
1186C2×Dic3—62no—
1187C2×Dic3—62no—
1188C2×Dic3—64no—
1189C2×Dic3—64no—
1190C2×Dic3—122no—
1191C2×Dic3—122no—
1192C2×Dic3C23×D311yescharacteristic
1193C2×Dic3C23×D312yes—
1194C2×Dic3C23×D311yescharacteristic
1195C2×Dic3C23×D311yescharacteristic
1196C2×Dic3C23×D312yes—
1197C2×Dic3C23×D311yescharacteristic
1198C2×Dic3C23×D311yescharacteristic
1199D12—24no—
1200D12—22no—
1201D12—22no—
1202D12—22no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—64no—
1207D12—64no—
1208D12—62no—
1209D12—62no—
1210D12—62no—
1211D12—62no—
1212D12—122no—
1213D12—122no—
1214D12—122no—
1215D12—122no—
1216D12—122no—
1217D12—122no—
1218D12—124no—
1219D12—122no—
1220D12—122no—
1221D12—122no—
1222D12—242no—
1223D12D3×D414yescomplemented
1224C4×D3—22no—
1225C4×D3—24no—
1226C4×D3—22no—
1227C4×D3—22no—
1228C4×D3—22no—
1229C4×D3—38no—
1230C4×D3—42no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—64no—
1237C4×D3—64no—
1238C4×D3—64no—
1239C4×D3—124no—
1240C4×D3—124no—
1241C4×D3—122no—
1242C4×D3—122no—
1243C4×D3D3×D414yescomplemented
1244Dic6—22no—
1245Dic6—22no—
1246Dic6—34no—
1247Dic6—34no—
1248Dic6—64no—
1249Dic6—64no—
1250Dic6—64no—
1251C2×C32—41no—
1252C2×C32—41no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—42no—
1257C3⋊D3—42no—
1258C3×D3—22no—
1259C3×D3—24no—
1260C3×D3—22no—
1261C3×D3—41no—
1262C3×D3—42no—
1263C24—31no—
1264C24—32no—
1265C24—92no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—98no—
1271#41—184no—
1272#41—184no—
1273#41—184no—
1274#41—188no—
1275#41—188no—
1276#41—184no—
1277#41—188no—
1278C2×Q8—31no—
1279C2×Q8—31no—
1280C2×Q8—92no—
1281C2×Q8—91no—
1282C2×Q8—184no—
1283C2×D4—31no—
1284C2×D4—32no—
1285C2×D4—31no—
1286C2×D4—31no—
1287C2×D4—31no—
1288C2×D4—32no—
1289C2×D4—31no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—32no—
1293C2×D4—31no—
1294C2×D4—64no—
1295C2×D4—92no—
1296C2×D4—92no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—91no—
1311C2×D4—91no—
1312C2×D4—92no—
1313C2×D4—92no—
1314C2×D4—184no—
1315C2×D4—184no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—188no—
1320C2×D4—188no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4—364no—
1324C2×D4C2×D3211yescharacteristic
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—32no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—32no—
1333C22×C4—64no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—188no—
1343C22×C4C2×D3211yescharacteristic
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—32no—
1352C4⋊C4—92no—
1353C4⋊C4—92no—
1354C4⋊C4—92no—
1355C4⋊C4—92no—
1356C4⋊C4—91no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—32no—
1359C22⋊C4—31no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—31no—
1364C22⋊C4—31no—
1365C22⋊C4—31no—
1366C22⋊C4—32no—
1367C22⋊C4—31no—
1368C22⋊C4—31no—
1369C22⋊C4—31no—
1370C22⋊C4—32no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4C2×D3211yescharacteristic
1381C22⋊C4C2×D3211yescharacteristic
1382C42—31no—
1383C42—92no—
1384C42—92no—
1385C42C2×D3211yescharacteristic
1386C22×C3—21no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—21no—
1395C22×C3—21no—
1396C22×C3—21no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—34no—
1400C22×C3—32no—
1401C22×C3—32no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—61no—
1409C22×C3—62no—
1410C22×C3—62no—
1411C22×C3—61no—
1412C22×C3—61no—
1413C22×C3—61no—
1414C22×C3—62no—
1415C22×C3—61no—
1416C22×C3—62no—
1417C22×C3—62no—
1418C22×C3—61no—
1419C22×C3—61no—
1420C22×C3—124no—
1421C22×C3—244no—
1422C22×C3C24×D311yescharacteristic
1423C22×C3C24×D311yescharacteristic
1424C2×D3—21no—
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—21no—
1431C2×D3—22no—
1432C2×D3—21no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—22no—
1436C2×D3—44no—
1437C2×D3—62no—
1438C2×D3—62no—
1439C2×D3—62no—
1440C2×D3—62no—
1441C2×D3—62no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—84no—
1450C2×D3—122no—
1451C2×D3—122no—
1452C2×D3—122no—
1453C2×D3—122no—
1454C2×D3—122no—
1455C2×D3—122no—
1456C2×D3—128no—
1457C2×D3—128no—
1458C2×D3—244no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3C2×D3×D414yes—
1463C2×D3C2×D3×D412yes—
1464C2×D3#100912yescomplemented
1465C3×C4—22no—
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—21no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—21no—
1473C3×C4—21no—
1474C3×C4—22no—
1475C3×C4—32no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—61no—
1480C3×C4—62no—
1481C3×C4—61no—
1482C3×C4—62no—
1483C3×C4—61no—
1484C3×C4—61no—
1485C3×C4C2×D3×D412yes—
1486C3×C4C2×D3×D412yes—
1487Dic3—22no—
1488Dic3—21no—
1489Dic3—21no—
1490Dic3—21no—
1491Dic3—21no—
1492Dic3—22no—
1493Dic3—34no—
1494Dic3—34no—
1495Dic3—64no—
1496Dic3—62no—
1497Dic3—62no—
1498Dic3—122no—
1499Dic3C2×D3×D412yes—
1500C32#348811yescharacteristic, complemented, Sylow
1501C23—31no—
1502C23—31no—
1503C23—32no—
1504C23—32no—
1505C23—31no—
1506C23—62no—
1507C23—62no—
1508C23—64no—
1509C23—92no—
1510C23—92no—
1511C23—121no—
1512C23—122no—
1513C23—122no—
1514C23—184no—
1515C23—184no—
1516C23—184no—
1517C23—184no—
1518C23—362no—
1519C23—362no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23C22×D3211yescharacteristic
1524C23C22×D3211yescharacteristic
1525Q8—62no—
1526Q8—62no—
1527Q8—94no—
1528Q8—184no—
1529D4—34no—
1530D4—41no—
1531D4—64no—
1532D4—62no—
1533D4—62no—
1534D4—62no—
1535D4—62no—
1536D4—64no—
1537D4—62no—
1538D4—62no—
1539D4—98no—
1540D4—122no—
1541D4—121no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—184no—
1546D4—184no—
1547D4—184no—
1548D4—184no—
1549D4—184no—
1550D4—184no—
1551D4—182no—
1552D4—182no—
1553D4—362no—
1554D4—362no—
1555D4—362no—
1556D4—362no—
1557D4—362no—
1558D4—362no—
1559D4—362no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—31no—
1563C2×C4—34no—
1564C2×C4—31no—
1565C2×C4—31no—
1566C2×C4—32no—
1567C2×C4—32no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—62no—
1571C2×C4—62no—
1572C2×C4—64no—
1573C2×C4—62no—
1574C2×C4—62no—
1575C2×C4—62no—
1576C2×C4—98no—
1577C2×C4—92no—
1578C2×C4—92no—
1579C2×C4—122no—
1580C2×C4—184no—
1581C2×C4—184no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—362no—
1586C2×C4—362no—
1587C2×C4C22×D3211yescharacteristic
1588C2×C4C22×D3211yescharacteristic
1589C2×C4C22×D3211yescharacteristic
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C3—21no—
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—41no—
1596C2×C3—41no—
1597C2×C3—41no—
1598C2×C3—41no—
1599C2×C3—64no—
1600C2×C3—62no—
1601C2×C3—62no—
1602C2×C3—81no—
1603C2×C3—81no—
1604C2×C3—122no—
1605C2×C3—121no—
1606C2×C3C22×D3×D411yescharacteristic
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C2×#100911yescharacteristic
1609C2×C3#596411yescharacteristic
1610C2×C3#596411yescharacteristic
1611C2×C3D3×H(5,𝔽2)11yescharacteristic
1612D3—22no—
1613D3—22no—
1614D3—24no—
1615D3—41no—
1616D3—42no—
1617D3—122no—
1618D3—122no—
1619D3—122no—
1620D3—122no—
1621D3—242no—
1622D3—242no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—32no—
1630C22—34no—
1631C22—32no—
1632C22—61no—
1633C22—61no—
1634C22—62no—
1635C22—61no—
1636C22—62no—
1637C22—61no—
1638C22—61no—
1639C22—62no—
1640C22—61no—
1641C22—62no—
1642C22—61no—
1643C22—62no—
1644C22—124no—
1645C22—182no—
1646C22—182no—
1647C22—182no—
1648C22—182no—
1649C22—182no—
1650C22—182no—
1651C22—244no—
1652C22—368no—
1653C22—724no—
1654C22—724no—
1655C22C23×D3211yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—32no—
1661C4—61no—
1662C4—61no—
1663C4—61no—
1664C4—62no—
1665C4—62no—
1666C4—61no—
1667C4—94no—
1668C4—182no—
1669C4D32×D412yes—
1670C3—21no—
1671C3#8604111yescharacteristic, complemented
1672C3#8662911yescharacteristic, complemented
1673C2—41no—
1674C2—41no—
1675C2—62no—
1676C2—62no—
1677C2—64no—
1678C2—122no—
1679C2—121no—
1680C2—362no—
1681C2—362no—
1682C2#1059666911yescharacteristic
1683C2C2×D32×D411yescharacteristic
1684C2D3×#100911yescharacteristic
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×#64307C2semidirect
2. C2×D3×#235C2semidirect
3. #10596024C2semidirect
4. C3×#5550C2semidirect
5. C3×#5547C2semidirect
6. #10595289C2semidirect
7. #10595285C2semidirect
8. #10595067C2semidirect
9. D12×#67C2semidirect
10. D3×#930C2semidirect
11. #10594919C2semidirect
12. #10594916C2semidirect
13. #10594894C2semidirect
14. #10594616C2semidirect
15. #10594615C2semidirect
16. #10594275C2semidirect
17. #10594272C2semidirect
18. D3×#884C2semidirect
19. #10594059C2semidirect
20. D122C2semidirect
21. #10594001C2semidirect
22. #10593905C2semidirect
23. #10593887C2semidirect
26. C2×#3828C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#235C22semidirect
29. C2×C3×#235C22semidirect
30. C22×C3×D12C22semidirect
31. C22×C3×C4×D3C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×#3804C22semidirect
40. C2×#3802C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3799C22semidirect
47. C2×#3798C22semidirect
48. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×C4×D4C22semidirect
53. #64149C22semidirect
54. #64139C22semidirect
55. #64139C22semidirect
56. #64102C22semidirect
57. #64093C22semidirect
58. #64093C22semidirect
59. #64083C22semidirect
60. C4×#634C22semidirect
61. C3×#939C22semidirect
62. C3×#937C22semidirect
63. C3×#937C22semidirect
64. C3×#930C22semidirect
65. C3×C4×#67C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#924C22semidirect
68. C3×#896C22semidirect
69. C3×#894C22semidirect
70. C3×#894C22semidirect
71. C3×#884C22semidirect
72. C3×#884C22semidirect
73. C3×#883C22semidirect
74. C3×#882C22semidirect
75. C3×D3×C22⋊C4C22semidirect
76. C3×#878C22semidirect
77. C3×#875C22semidirect
78. C3×C4×D12C22semidirect
79. C3×C4×D12C22semidirect
80. C3×#872C22semidirect
81. #63983C22semidirect
82. #63979C22semidirect
83. #63978C22semidirect
84. #63977C22semidirect
85. #63971C22semidirect
86. #63971C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63958C22semidirect
90. #63953C22semidirect
91. #63923C22semidirect
92. #63923C22semidirect
93. #63923C22semidirect
94. #63923C22semidirect
95. #63922C22semidirect
96. D3×(C2×D3)⋊C4C22semidirect
97. D3×(C2×D3)⋊C4C22semidirect
98. #63915C22semidirect
99. #63912C22semidirect
100. #63911C22semidirect
101. #63910C22semidirect
102. #63910C22semidirect
103. #63909C22semidirect
104. #63909C22semidirect
105. #63909C22semidirect
106. #63908C22semidirect
107. #63906C22semidirect
108. #63902C22semidirect
109. #63902C22semidirect
110. #63899C22semidirect
111. Dic3×D12C22semidirect
112. D3×C4⋊Dic3C22semidirect
113. #63888C22semidirect
114. #63886C22semidirect
115. #63886C22semidirect
116. #63885C22semidirect
117. #63881C22semidirect
118. #63881C22semidirect
119. #63879C22semidirect
120. #63878C22semidirect
121. D3×Dic3⋊C4C22semidirect
122. #63865C22semidirect
123. #63864C22semidirect
124. #63856C22semidirect
125. #63850C22semidirect
126. #63844C22semidirect
164. #5550D3semidirect
168. #5547D3semidirect
254. #3795D4semidirect
341. C2×#235C2×D3semidirect
342. C2×#235C2×D3semidirect
347. C22×D12C2×D3semidirect
350. C22×C4×D3C2×D3semidirect
371. C3×C4×D4C2×D3semidirect
372. C3×C4×D4C2×D3semidirect
393. #939C2×D3semidirect
399. #937C2×D3semidirect
400. #937C2×D3semidirect
414. #930C2×D3semidirect
417. C4×#67C2×D3semidirect
418. C4×#67C2×D3semidirect
423. #924C2×D3semidirect
429. #896C2×D3semidirect
438. #894C2×D3semidirect
439. #894C2×D3semidirect
470. #884C2×D3semidirect
471. #884C2×D3semidirect
472. #883C2×D3semidirect
483. #882C2×D3semidirect
493. D3×C22⋊C4C2×D3semidirect
495. #878C2×D3semidirect
498. #875C2×D3semidirect
504. C4×D12C2×D3semidirect
505. C4×D12C2×D3semidirect
506. #872C2×D3semidirect
555. #634C2×D4semidirect
574. C3×D12C2×D4semidirect
581. C3×C4×D3C2×D4semidirect
595. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
1036. C4×D4D32semidirect
1223. D12D3×D4semidirect
1243. C4×D3D3×D4semidirect
1464. C2×D3#1009semidirect
1500. C32#3488semidirect
1671. C3#86041semidirect
1672. C3#86629semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C2×D3×#2352
#105960242
C3×#55502
C3×#55472
#105952892
#105952852
#105950672
D12×#672
D3×#9302
#105949192
#105949162
#105948942
#105946162
#105946152
#105942752
#105942722
D3×#8842
#105940592
D1222
#105940012
#105939052
#105938872
#866293
#860413