Finite Group Databasebeta

← #11025890

Subgroups — #11025890

Order 768.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5649C211yesmaximal, characteristic, complemented
3C3×#2335C211yesmaximal, characteristic, complemented
4#76463C211yesmaximal, characteristic, complemented
5#76440C211yesmaximal, characteristic, complemented
6#76221C211yesmaximal, characteristic, complemented
7#76113C211yesmaximal, characteristic, complemented
8#75918C211yesmaximal, characteristic, complemented
9#75858C211yesmaximal, characteristic, complemented
10#75669C211yesmaximal, characteristic, complemented
11#75666C211yesmaximal, characteristic, complemented
12#75529C211yesmaximal, characteristic, complemented
13#75527C211yesmaximal, characteristic, complemented
14#75516C211yesmaximal, characteristic, complemented
15#75507C211yesmaximal, characteristic, complemented
16#75325C211yesmaximal, characteristic, complemented
17#75174C211yesmaximal, characteristic, complemented
18#75018C211yesmaximal, characteristic, complemented
19#74990C211yesmaximal, characteristic, complemented
20#74891C211yesmaximal, characteristic, complemented
21#74790C211yesmaximal, characteristic, complemented
22#74605C211yesmaximal, characteristic, complemented
23#74536C211yesmaximal, characteristic, complemented
24#74034C211yesmaximal, characteristic, complemented
25#73999C211yesmaximal, characteristic, complemented
26#73698C211yesmaximal, characteristic, complemented
27#73649C211yesmaximal, characteristic, complemented
28#73611C211yesmaximal, characteristic, complemented
29#73575C211yesmaximal, characteristic, complemented
30#73507C211yesmaximal, characteristic, complemented
31C4×#886C211yesmaximal, characteristic, complemented
32#37733—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×#939C2211yescharacteristic
35C2×#938C2211yescharacteristic
36C2×#937C2211yescharacteristic
37C2×D4×Dic3C2211yescharacteristic
38C2×#930C2211yescharacteristic
39C2×#930C2211yescharacteristic
40C2×#929C2211yescharacteristic, complemented
41C2×C4×#67C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×C4×Dic3C2211yescharacteristic, complemented
44#5657—28no—
45#5649—28no—
46C2×#898C2211yescharacteristic
47C2×#898C2211yescharacteristic, complemented
48C2×#897C2211yescharacteristic
49C2×#897C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#892C2211yescharacteristic, complemented
54C2×#889C2211yescharacteristic, complemented
55C2×#887C2211yescharacteristic, complemented
56C2×#886C2211yescharacteristic
57C2×#886C2211yescharacteristic
58C2×#886C2211yescharacteristic, complemented
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic, complemented
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic
69C2×#879C2211yescharacteristic
70C2×#878C2211yescharacteristic, complemented
71C2×#877C2211yescharacteristic
72C2×#869C2211yescharacteristic, complemented
73C3×#390C2211yescharacteristic
74C3×#389C2211yescharacteristic, complemented
75C3×#388C2211yescharacteristic
76C3×#388C2211yescharacteristic
77C3×#388C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#380C2211yescharacteristic, complemented
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87#5212C2211yescharacteristic
88#5212C2211yescharacteristic
89#4994C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic
97#4988C2211yescharacteristic
98#4988C2211yescharacteristic
99#4987C2211yescharacteristic, complemented
100#4984C2211yescharacteristic, complemented
101#4984C2211yescharacteristic, complemented
102#4984C2211yescharacteristic, complemented
103#4984C2211yescharacteristic, complemented
104#4981C2211yescharacteristic, complemented
105#4981C2211yescharacteristic, complemented
106#4973C2211yescharacteristic, complemented
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic, complemented
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4953C2211yescharacteristic
125#4953C2211yescharacteristic
126#4953C2211yescharacteristic, complemented
127#4950C2211yescharacteristic
128#4950C2211yescharacteristic, complemented
129#4943C2211yescharacteristic
130#4943C2211yescharacteristic, complemented
131#4940C2211yescharacteristic
132#4940C2211yescharacteristic
133#4940C2211yescharacteristic
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic, complemented
136#4939C2211yescharacteristic
137#4939C2211yescharacteristic
138#4939C2211yescharacteristic
139#4939C2211yescharacteristic, complemented
140#4939C2211yescharacteristic, complemented
141C4×(C2×D3)⋊C4C2211yescharacteristic
142C4×(C2×D3)⋊C4C2211yescharacteristic
143C4×(C2×D3)⋊C4C2211yescharacteristic
144C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146#4936C2211yescharacteristic, complemented
147C4×C4⋊Dic3C2211yescharacteristic, complemented
148C4×C4⋊Dic3C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic
151#4677C2211yescharacteristic
152#4677C2211yescharacteristic, complemented
153#4674C2211yescharacteristic
154#4674C2211yescharacteristic, complemented
155#4673C2211yescharacteristic
156#4673C2211yescharacteristic, complemented
157#4673C2211yescharacteristic, complemented
158#4672C2211yescharacteristic
159#4672C2211yescharacteristic
160#4672C2211yescharacteristic
161#4671C2211yescharacteristic
162#4670C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2854—31no—
193#2723—31no—
194#2722—31no—
195#2705—31no—
196#2685—31no—
197#2681—31no—
198#2678—31no—
199#2674—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2519—31no—
204#2491—31no—
205#2479—31no—
206#2474—31no—
207#2472—31no—
208#2466—31no—
209#2464—31no—
210#2460—31no—
211#2459—31no—
212#2458—31no—
213#2429—31no—
214#2424—31no—
215#2420—31no—
216#2418—31no—
217#2363—31no—
218#2342—31no—
219#2335D311yescharacteristic, complemented
220C4×#123—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#123D418yescomplemented
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274#939—24no—
275#938—24no—
276#937—24no—
277D4×Dic3—24no—
278#930—24no—
279#930—42no—
280#929—24no—
281C4×#67—24no—
282C2×(C2×D3)⋊C4—24no—
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3—24no—
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355#898—24no—
356#898—24no—
357#897—24no—
358#897—42no—
359#895—24no—
360#894—24no—
361#893—24no—
362#892—24no—
363#889—24no—
364#887—24no—
365#886—24no—
366#886—42no—
367#886—42no—
368#885—24no—
369#885—24no—
370#885—24no—
371#884—24no—
372#882—24no—
373#882—42no—
374#67⋊C4—24no—
375#67⋊C4—24no—
376D3×C22⋊C4—24no—
377#879—24no—
378#879—24no—
379#878—24no—
380#877—24no—
381#869—42no—
382C3×#95C2311yescharacteristic
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
414#538—68no—
415C2×C4⋊Q8—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#120—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×C4×Q8—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#399—31no—
455#399—31no—
456#399—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#394—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#394—31no—
486#394—31no—
487#393—31no—
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390C2×D311yescharacteristic
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389C2×D311yescharacteristic, complemented
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#388C2×D311yescharacteristic
527#388C2×D311yescharacteristic, complemented
528#388C2×D311yescharacteristic, complemented
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387C2×D311yescharacteristic, complemented
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385C2×D311yescharacteristic
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380C2×D311yescharacteristic, complemented
559#379—31no—
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4C2×D311yescharacteristic
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4C2×D414yes—
587C22×C3×C4—22no—
588C22×C3×C4—41no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4C2×D414yes—
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4C2×D414yes—
684C3×C4⋊C4C2×D414yes—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4C2×D414yes—
693C3×C22⋊C4C2×D414yes—
694C3×C22⋊C4C2×D414yes—
695C3×C42—41no—
696C3×C42—41no—
697C3×C42—41no—
698C3×C42—41no—
699C3×C42—41no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4#4114yes—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4C22×D311yescharacteristic
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801C4⋊Q8—122no—
802#126—64no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—64no—
808#124—64no—
809#124—64no—
810#123—64no—
811#123—64no—
812#123—64no—
813#123—122no—
814#123—122no—
815#123D1218yescomplemented
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—64no—
823#121—64no—
824#121—122no—
825#120—64no—
826#120—64no—
827#120—122no—
828C4×Q8—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
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—64no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—64no—
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3C22×D412yes—
983C23×C3C22×D412yes—
984C23×C3C2511yescharacteristic
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C2×#4112yes—
1020C3×D4—44no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—44no—
1055C2×C3×C4—82no—
1056C2×C3×C4C22×D412yes—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C2×#4112yes—
1062#67—44no—
1063#67—44no—
1064#67—44no—
1065#67—82no—
1066#67—82no—
1067#67—82no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—44no—
1103C2×Dic3—44no—
1104C2×Dic3—44no—
1105C2×Dic3C2×#4112yes—
1106C2×Dic3H(5,𝔽2)12yes—
1107D12—44no—
1108D12—82no—
1109D12—82no—
1110D12—82no—
1111D12—82no—
1112C4×D3—44no—
1113C4×D3—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—62no—
1123C24—62no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C2×Q8—62no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×Q8—121no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4C2×D1214yes—
1173C22×C4—22no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4C2×D1214yes—
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4C2×D1214yes—
1256C4⋊C4C2×D1214yes—
1257C22⋊C4—22no—
1258C22⋊C4—34no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4C2×D1214yes—
1309C22⋊C4C2×D1214yes—
1310C22⋊C4C2×D1214yes—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—62no—
1323C42—62no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3C23×D411yescharacteristic
1339C22×C3C22×#4111yescharacteristic
1340C22×C3C2×H(5,𝔽2)11yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C22×C3#58511yescharacteristic
1344C22×C3#58511yescharacteristic
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—88no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—41no—
1390Dic3—41no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—32no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—124no—
1440C23—124no—
1441C23—242no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23C22×D1212yes—
1447C23C22×D1212yes—
1448C23C24×D311yescharacteristic
1449Q8—124no—
1450Q8—242no—
1451D4—44no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—32no—
1497C2×C4—32no—
1498C2×C4—44no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—82no—
1534C2×C4—124no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—242no—
1539C2×C4—242no—
1540C2×C4—242no—
1541C2×C4C22×D1212yes—
1542C2×C4C22×D1212yes—
1543C2×C4C22×D1212yes—
1544C2×C4C22×D1212yes—
1545C2×C4C22×D1212yes—
1546C2×C4D3×#4112yes—
1547C2×C3—42no—
1548C2×C3—42no—
1549C2×C3#345511yescharacteristic
1550C2×C3D4×#4111yescharacteristic
1551C2×C3#348511yescharacteristic
1552C2×C3#348811yescharacteristic
1553C2×C3#351411yescharacteristic
1554C2×C3#355111yescharacteristic
1555C2×C3#356611yescharacteristic
1556D3—42no—
1557D3—81no—
1558D3—81no—
1559D3—81no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—248no—
1603C22C23×D1211yescharacteristic
1604C22C2×D3×#4111yescharacteristic
1605C22#596411yescharacteristic
1606C22D3×H(5,𝔽2)11yescharacteristic
1607C22#596611yescharacteristic
1608C22#596611yescharacteristic
1609C22#596811yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—62no—
1624C4—62no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3773311yescharacteristic, complemented, Sylow
1636C2—42no—
1637C2—42no—
1638C2—122no—
1639C2—241no—
1640C2—241no—
1641C2—241no—
1642C2#41×D1211yescharacteristic
1643C2#8585811yescharacteristic
1644C2#8590011yescharacteristic
1645C2#8639211yescharacteristic
1646C2#8644811yescharacteristic
1647C2#8647711yescharacteristic
1648C2#8652311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2335C2
hypercenter#2335D3
hypocenterC3#37733
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5649C2semidirect
3. C3×#2335C2semidirect
4. #76463C2semidirect
5. #76440C2semidirect
6. #76221C2semidirect
7. #76113C2semidirect
8. #75918C2semidirect
9. #75858C2semidirect
10. #75669C2semidirect
11. #75666C2semidirect
12. #75529C2semidirect
13. #75527C2semidirect
14. #75516C2semidirect
15. #75507C2semidirect
16. #75325C2semidirect
17. #75174C2semidirect
18. #75018C2semidirect
19. #74990C2semidirect
20. #74891C2semidirect
21. #74790C2semidirect
22. #74605C2semidirect
23. #74536C2semidirect
24. #74034C2semidirect
25. #73999C2semidirect
26. #73698C2semidirect
27. #73649C2semidirect
28. #73611C2semidirect
29. #73575C2semidirect
30. #73507C2semidirect
31. C4×#886C2semidirect
40. C2×#929C22semidirect
43. C22×C4×Dic3C22semidirect
47. C2×#898C22semidirect
53. C2×#892C22semidirect
54. C2×#889C22semidirect
55. C2×#887C22semidirect
58. C2×#886C22semidirect
66. C2×#67⋊C4C22semidirect
70. C2×#878C22semidirect
72. C2×#869C22semidirect
74. C3×#389C22semidirect
77. C3×#388C22semidirect
78. C3×#388C22semidirect
79. C3×#387C22semidirect
80. C3×#387C22semidirect
83. C3×#380C22semidirect
84. C3×C4×C4⋊C4C22semidirect
86. C3×C4×C22⋊C4C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
99. #4987C22semidirect
100. #4984C22semidirect
101. #4984C22semidirect
102. #4984C22semidirect
103. #4984C22semidirect
104. #4981C22semidirect
105. #4981C22semidirect
106. #4973C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
117. #4960C22semidirect
121. #4958C22semidirect
126. #4953C22semidirect
128. #4950C22semidirect
130. #4943C22semidirect
135. #4940C22semidirect
139. #4939C22semidirect
140. #4939C22semidirect
144. C4×(C2×D3)⋊C4C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. #4936C22semidirect
147. C4×C4⋊Dic3C22semidirect
148. C4×C4⋊Dic3C22semidirect
149. #4928C22semidirect
152. #4677C22semidirect
154. #4674C22semidirect
156. #4673C22semidirect
157. #4673C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
172. #4670C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
180. #4665C22semidirect
181. #4661C22semidirect
182. #4661C22semidirect
183. #4661C22semidirect
184. #4656C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
219. #2335D3semidirect
245. C3×#123D4semidirect
508. #389C2×D3semidirect
527. #388C2×D3semidirect
528. #388C2×D3semidirect
534. #387C2×D3semidirect
535. #387C2×D3semidirect
558. #380C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
815. #123D12semidirect
1635. C3#37733semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#56492
C3×#23352
#764632
#764402
#762212
#761132
#759182
#758582
#756692
#756662
#755292
#755272
#755162
#755072
#753252
#751742
#750182
#749902
#748912
#747902
#746052
#745362
#740342
#739992
#736982
#736492
#736112
#735752
#735072
C4×#8862
#377333