Finite Group Databasebeta

← #11097998

Subgroups — #11097998

Order 768.

2436 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5677C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2670C211yesmaximal, characteristic, complemented
4#82985C211yesmaximal, characteristic, complemented
5#82964C211yesmaximal, characteristic, complemented
6#82961C211yesmaximal, characteristic, complemented
7#82610C211yesmaximal, characteristic, complemented
8#82595C211yesmaximal, characteristic, complemented
9#82581C211yesmaximal, characteristic, complemented
10#77018C211yesmaximal, characteristic, complemented
11#76996C211yesmaximal, characteristic, complemented
12#76983C211yesmaximal, characteristic, complemented
13#76912C211yesmaximal, characteristic, complemented
14#76870C211yesmaximal, characteristic, complemented
15#76798C211yesmaximal, characteristic, complemented
16#76745C211yesmaximal, characteristic, complemented
17#76742C211yesmaximal, characteristic, complemented
18#76720C211yesmaximal, characteristic, complemented
19#76680C211yesmaximal, characteristic, complemented
20#76677C211yesmaximal, characteristic, complemented
21#76665C211yesmaximal, characteristic, complemented
22#76460C211yesmaximal, characteristic, complemented
23#76446C211yesmaximal, characteristic, complemented
24#76365C211yesmaximal, characteristic, complemented
25#76360C211yesmaximal, characteristic, complemented
26#75679C211yesmaximal, characteristic, complemented
27#75653C211yesmaximal, characteristic, complemented
28#75509C211yesmaximal, characteristic, complemented
29#75476C211yesmaximal, characteristic, complemented
30#73858C211yesmaximal, characteristic, complemented
31#73835C211yesmaximal, characteristic, complemented
32#40507—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic, complemented
34C22×#237C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×#124C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C2×#946C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#936C2211yescharacteristic
48C2×#936C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic, complemented
52#5677—28no—
53#5593—28no—
54C2×#885C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic, complemented
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic, complemented
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic, complemented
64C2×#67⋊C4C2211yescharacteristic, complemented
65C2×#879C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic, complemented
70C2×C4×D12C2211yescharacteristic, complemented
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#394C2211yescharacteristic
73C3×#394C2211yescharacteristic
74C3×#393C2211yescharacteristic
75C3×#392C2211yescharacteristic
76C3×#392C2211yescharacteristic
77C3×#392C2211yescharacteristic
78C3×#390C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#379C2211yescharacteristic
83#5247C2211yescharacteristic
84#5230C2211yescharacteristic, complemented
85#5229C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic, complemented
99#5221C2211yescharacteristic
100#5221C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic
104#4994C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4983C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110Dic3×C4⋊C4C2211yescharacteristic, complemented
111#4973C2211yescharacteristic, complemented
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic, complemented
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4953C2211yescharacteristic
133#4953C2211yescharacteristic, complemented
134#4952C2211yescharacteristic
135#4952C2211yescharacteristic
136#4952C2211yescharacteristic
137#4952C2211yescharacteristic, complemented
138#4951C2211yescharacteristic
139#4951C2211yescharacteristic
140#4951C2211yescharacteristic
141#4951C2211yescharacteristic
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4948C2211yescharacteristic
145#4948C2211yescharacteristic
146#4948C2211yescharacteristic, complemented
147#4947C2211yescharacteristic
148#4947C2211yescharacteristic
149#4947C2211yescharacteristic
150#4947C2211yescharacteristic
151#4947C2211yescharacteristic
152#4947C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4946C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic
158#4944C2211yescharacteristic
159#4944C2211yescharacteristic
160#4944C2211yescharacteristic
161#4944C2211yescharacteristic, complemented
162#4944C2211yescharacteristic, complemented
163#4943C2211yescharacteristic
164#4943C2211yescharacteristic
165#4943C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168#4940C2211yescharacteristic, complemented
169C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
170#4933C2211yescharacteristic, complemented
171C4×Dic3⋊C4C2211yescharacteristic, complemented
172#4929C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4674C2211yescharacteristic, complemented
175#4673C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, complemented
190C2×#548—31no—
191C2×#538—31no—
192#2819—31no—
193#2815—31no—
194#2700—31no—
195#2700—31no—
196#2699—31no—
197#2699—31no—
198#2678—31no—
199#2678—31no—
200#2670—31no—
201#2670D311yescharacteristic, complemented
202#2662—31no—
203#2661—31no—
204#2638—31no—
205#2637—31no—
206#2614—31no—
207#2592—31no—
208#2561—31no—
209#2560—31no—
210#2560—31no—
211#2461—31no—
212#2461—31no—
213#2459—31no—
214#2459—31no—
215#2456—31no—
216#2456—31no—
217#2436—31no—
218#2404—31no—
219#2388—31no—
220#2357—31no—
221C25×C3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C2×D3×Q8—24no—
245C2×D3×Q8—42no—
246C2×D3×Q8—42no—
247C2×#237—24no—
248C2×#237—42no—
249C2×#237—42no—
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#124—24no—
260C3×#124—42no—
261C3×#120—24no—
262C3×#120—42no—
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285#953—24no—
286#953—42no—
287C2×#217—24no—
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314#946—24no—
315#939—24no—
316#939—24no—
317#938—24no—
318#938—24no—
319#936—24no—
320#936—42no—
321#935—24no—
322D4×Dic3—24no—
323D4×Dic3—42no—
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#885—24no—
366#885—24no—
367#885—24no—
368#884—24no—
369#884—24no—
370#883—24no—
371#883—42no—
372#883—42no—
373#67⋊C4—24no—
374#67⋊C4—42no—
375#67⋊C4D418yescomplemented
376#879—24no—
377#879—24no—
378#878—24no—
379#878—24no—
380#878—24no—
381C4×D12—24no—
382C4×Dic6—24no—
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C23×Q8—31no—
419#548—68no—
420#538—68no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124C2×D311yescharacteristic
429C2×#124C2×D311yescharacteristic
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120C2×D311yescharacteristic
447C2×#120C2×D311yescharacteristic
448C2×C4×Q8—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C22×C22⋊C4—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#395—31no—
471#395—31no—
472#395—31no—
473#395—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394C2×D311yescharacteristic
486#394C2×D311yescharacteristic
487#393—31no—
488#393—31no—
489#393—31no—
490#393—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#393—31no—
495#393—31no—
496#393C2×D311yescharacteristic
497#392—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392C2×D311yescharacteristic
510#392C2×D311yescharacteristic
511#392C2×D311yescharacteristic
512#391—31no—
513#391—31no—
514#391—31no—
515#391—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390C2×D311yescharacteristic
523#390C2×D311yescharacteristic
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388C2×D311yescharacteristic
541#388C2×D311yescharacteristic
542#387—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#385—31no—
557#385—31no—
558#382—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#379—31no—
566#379C2×D311yescharacteristic
567C4×C4⋊C4—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C24×C3—22no—
575C24×C3—41no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×Q8—22no—
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67C2×D414yes—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3C2×D414yes—
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678D3×Q8—416no—
679#237—416no—
680C2×D12—22no—
681C2×D12—41no—
682C2×D12—41no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3C2×D414yes—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C2×Dic6—41no—
706C2×Dic6—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4C2×D414yes—
727C3×C42—22no—
728C3×C42—41no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4C2×D414yes—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4C2×D414yes—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C4×Dic3—41no—
795C4×Dic3C2×D414yes—
796C25C22×D311yescharacteristic
797C2×#41—64no—
798C2×#41—122no—
799C2×#41—122no—
800C22×Q8—31no—
801C22×Q8—31no—
802C22×Q8—31no—
803C22×Q8—31no—
804C22×Q8—64no—
805C22×Q8—122no—
806C22×Q8—122no—
807C22×Q8C22×D311yescharacteristic
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834#126—64no—
835#126—64no—
836#124—24no—
837#124—42no—
838#124—64no—
839#124—64no—
840#124—64no—
841#124—64no—
842#124—122no—
843#123—64no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#120—24no—
858#120—42no—
859#120—64no—
860#120—122no—
861C4×Q8—64no—
862C4×D4—38no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—122no—
867C4×D4—122no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—64no—
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42C22×D311yescharacteristic
957C2×C42C22×D311yescharacteristic
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—44no—
1027C23×C3—82no—
1028C23×C3—82no—
1029C23×C3—82no—
1030C23×C3—82no—
1031C23×C3—82no—
1032C23×C3—82no—
1033C23×C3C22×D412yes—
1034C23×C3C2511yescharacteristic
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3C22×D412yes—
1049C3×Q8—44no—
1050C3×D4—44no—
1051C3×D4—44no—
1052C3×D4—44no—
1053C3×D4—82no—
1054C3×D4—82no—
1055C3×D4—82no—
1056C3×D4—82no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4C22×D412yes—
1085C2×C3×C4C22×D412yes—
1086C2×C3×C4H(5,𝔽2)12yes—
1087#67—44no—
1088#67—44no—
1089#67—44no—
1090#67—44no—
1091#67—44no—
1092#67—82no—
1093#67—82no—
1094#67—82no—
1095#67—82no—
1096#67—82no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—44no—
1136C2×Dic3—44no—
1137C2×Dic3—82no—
1138C2×Dic3—82no—
1139C2×Dic3C22×D412yes—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C22×D412yes—
1142C2×Dic3H(5,𝔽2)12yes—
1143D12—44no—
1144C4×D3—44no—
1145C4×D3—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148Dic6—28no—
1149Dic6—44no—
1150Dic6—44no—
1151Dic6—82no—
1152C24—22no—
1153C24—31no—
1154C24—31no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24C23×D311yescharacteristic
1162C24C23×D311yescharacteristic
1163C24C23×D311yescharacteristic
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166#41—1216no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—62no—
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—121no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—1216no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—34no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—34no—
1242C22×C4—34no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C4⋊C4—34no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—34no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4D3×D414yes—
1364C42—22no—
1365C42—34no—
1366C42—41no—
1367C42—62no—
1368C42—62no—
1369C42—121no—
1370C42—121no—
1371C42—121no—
1372C42—121no—
1373C42—121no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—88no—
1410C22×C3C23×D411yescharacteristic
1411C22×C3C2×H(5,𝔽2)11yescharacteristic
1412C22×C3C2×H(5,𝔽2)11yescharacteristic
1413C22×C3#58511yescharacteristic
1414C22×C3#58511yescharacteristic
1415C22×C3#58511yescharacteristic
1416C22×C3#58511yescharacteristic
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C3×C4—22no—
1432C3×C4—22no—
1433C3×C4—22no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441Dic3—22no—
1442Dic3—22no—
1443Dic3—22no—
1444Dic3—22no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—32no—
1490C23—44no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—82no—
1505C23—82no—
1506C23—82no—
1507C23—82no—
1508C23—82no—
1509C23—82no—
1510C23C2×D3×D412yes—
1511C23C24×D311yescharacteristic
1512Q8—44no—
1513Q8—68no—
1514Q8—124no—
1515Q8—124no—
1516Q8—242no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—82no—
1521D4—82no—
1522D4—82no—
1523D4—82no—
1524D4—124no—
1525D4—124no—
1526D4—124no—
1527D4—124no—
1528D4—124no—
1529D4—124no—
1530D4—242no—
1531D4—242no—
1532D4—242no—
1533D4—242no—
1534D4—242no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—32no—
1563C2×C4—32no—
1564C2×C4—32no—
1565C2×C4—32no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—124no—
1605C2×C4—124no—
1606C2×C4—124no—
1607C2×C4—124no—
1608C2×C4—124no—
1609C2×C4—124no—
1610C2×C4—242no—
1611C2×C4—242no—
1612C2×C4C2×D3×D412yes—
1613C2×C4C2×D3×D412yes—
1614C2×C4#100412yes—
1615C2×C3—42no—
1616C2×C3—81no—
1617C2×C3—81no—
1618C2×C3—81no—
1619C2×C3—81no—
1620C2×C3#344911yescharacteristic
1621C2×C3#348411yescharacteristic
1622C2×C3#350011yescharacteristic
1623C2×C3#354011yescharacteristic
1624C2×C3#354011yescharacteristic
1625C2×C3#356211yescharacteristic
1626C2×C3#356211yescharacteristic
1627D3—42no—
1628D3—81no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—62no—
1665C22—62no—
1666C22—62no—
1667C22—88no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22C22×D3×D411yescharacteristic
1680C22C2×#100411yescharacteristic
1681C22#596411yescharacteristic
1682C22D3×H(5,𝔽2)11yescharacteristic
1683C22#596611yescharacteristic
1684C22#596611yescharacteristic
1685C22#596611yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—62no—
1697C4—62no—
1698C4—62no—
1699C4—62no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C4—121no—
1708C4—121no—
1709C4—121no—
1710C3#4050711yescharacteristic, complemented, Sylow
1711C2—42no—
1712C2—81no—
1713C2—81no—
1714C2—81no—
1715C2—81no—
1716C2—122no—
1717C2—241no—
1718C2#8631311yescharacteristic
1719C2#8632811yescharacteristic
1720C2#8640711yescharacteristic
1721C2#8662011yescharacteristic
1722C2#8663211yescharacteristic
1723C2#8667111yescharacteristic
1724C2#8708611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2670C2
hypercenter#2670D3
hypocenterC3#40507
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#5677C2semidirect
2. C2×#5593C2semidirect
3. C3×#2670C2semidirect
4. #82985C2semidirect
5. #82964C2semidirect
6. #82961C2semidirect
7. #82610C2semidirect
8. #82595C2semidirect
9. #82581C2semidirect
10. #77018C2semidirect
11. #76996C2semidirect
12. #76983C2semidirect
13. #76912C2semidirect
14. #76870C2semidirect
15. #76798C2semidirect
16. #76745C2semidirect
17. #76742C2semidirect
18. #76720C2semidirect
19. #76680C2semidirect
20. #76677C2semidirect
21. #76665C2semidirect
22. #76460C2semidirect
23. #76446C2semidirect
24. #76365C2semidirect
25. #76360C2semidirect
26. #75679C2semidirect
27. #75653C2semidirect
28. #75509C2semidirect
29. #75476C2semidirect
30. #73858C2semidirect
31. #73835C2semidirect
33. C22×D3×Q8C22semidirect
42. C2×#946C22semidirect
51. C2×D4×Dic3C22semidirect
56. C2×#885C22semidirect
58. C2×#884C22semidirect
63. C2×#67⋊C4C22semidirect
64. C2×#67⋊C4C22semidirect
69. C2×#878C22semidirect
70. C2×C4×D12C22semidirect
71. C2×C4×Dic6C22semidirect
84. #5230C22semidirect
85. #5229C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
98. #5222C22semidirect
104. #4994C22semidirect
105. #4991C22semidirect
106. #4990C22semidirect
107. #4983C22semidirect
108. #4982C22semidirect
109. #4980C22semidirect
110. Dic3×C4⋊C4C22semidirect
111. #4973C22semidirect
114. #4961C22semidirect
117. #4960C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
133. #4953C22semidirect
137. #4952C22semidirect
142. #4951C22semidirect
143. #4950C22semidirect
146. #4948C22semidirect
152. #4947C22semidirect
153. #4947C22semidirect
154. #4947C22semidirect
155. #4946C22semidirect
156. #4945C22semidirect
161. #4944C22semidirect
162. #4944C22semidirect
167. Dic3×C22⋊C4C22semidirect
168. #4940C22semidirect
169. C4×(C2×D3)⋊C4C22semidirect
170. #4933C22semidirect
171. C4×Dic3⋊C4C22semidirect
172. #4929C22semidirect
173. #4929C22semidirect
174. #4674C22semidirect
175. #4673C22semidirect
176. #4670C22semidirect
177. #4669C22semidirect
178. #4666C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. #4664C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4650C22semidirect
189. #4649C22semidirect
201. #2670D3semidirect
375. #67⋊C4D4semidirect
1710. C3#40507semidirect

Maximal subgroups

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

subgroupindex
C2×#56772
C2×#55932
C3×#26702
#829852
#829642
#829612
#826102
#825952
#825812
#770182
#769962
#769832
#769122
#768702
#767982
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