Finite Group Databasebeta

← #11301974

Subgroups — #11301974

Order 768.

2612 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5630C211yesmaximal, characteristic, complemented
2C2×#5638C211yesmaximal, characteristic, complemented
3C3×#2378C211yesmaximal, characteristic, complemented
4#76618C211yesmaximal, characteristic, complemented
5#76618C211yesmaximal, characteristic, complemented
6#76571C211yesmaximal, characteristic, complemented
7#76571C211yesmaximal, characteristic, complemented
8#76220C211yesmaximal, characteristic, complemented
9#76211C211yesmaximal, characteristic, complemented
10#76114C211yesmaximal, characteristic, complemented
11#76113C211yesmaximal, characteristic, complemented
12#75918C211yesmaximal, characteristic, complemented
13#75916C211yesmaximal, characteristic, complemented
14#75916C211yesmaximal, characteristic, complemented
15#75912C211yesmaximal, characteristic, complemented
16#75846C211yesmaximal, characteristic, complemented
17#75844C211yesmaximal, characteristic, complemented
18#75844C211yesmaximal, characteristic, complemented
19#75540C211yesmaximal, characteristic, complemented
20#75387C211yesmaximal, characteristic, complemented
21#75323C211yesmaximal, characteristic, complemented
22#75323C211yesmaximal, characteristic, complemented
23#75319C211yesmaximal, characteristic, complemented
24#75160C211yesmaximal, characteristic, complemented
25#75155C211yesmaximal, characteristic, complemented
26#75155C211yesmaximal, characteristic, complemented
27#74990C211yesmaximal, characteristic, complemented
28#74134C211yesmaximal, characteristic, complemented
29#74133C211yesmaximal, characteristic, complemented
30#74034C211yesmaximal, characteristic, complemented
31#74016C211yesmaximal, characteristic, complemented
32#47840—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×#947C2211yescharacteristic
37C2×#946C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic, complemented
39C2×#929C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42#5638—28no—
43#5630—28no—
44C2×#898C2211yescharacteristic, complemented
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic, complemented
51C2×#895C2211yescharacteristic, complemented
52C2×#895C2211yescharacteristic, complemented
53C2×#895C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×#889C2211yescharacteristic, complemented
61C2×#889C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#879C2211yescharacteristic
74C2×#874C2211yescharacteristic, complemented
75C2×C4×D12C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic, complemented
78C3×#391C2211yescharacteristic, complemented
79C3×#391C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic
84C3×#388C2211yescharacteristic
85C3×#388C2211yescharacteristic
86C3×#387C2211yescharacteristic, complemented
87C3×#387C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#387C2211yescharacteristic, complemented
90C3×#381C2211yescharacteristic
91C3×#380C2211yescharacteristic
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4991C2211yescharacteristic, complemented
100#4991C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4988C2211yescharacteristic
104#4988C2211yescharacteristic
105#4988C2211yescharacteristic, complemented
106#4987C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4953C2211yescharacteristic
121#4953C2211yescharacteristic
122#4940C2211yescharacteristic, complemented
123#4940C2211yescharacteristic, complemented
124#4940C2211yescharacteristic, complemented
125#4940C2211yescharacteristic, complemented
126#4940C2211yescharacteristic, complemented
127#4939C2211yescharacteristic, complemented
128#4939C2211yescharacteristic, complemented
129#4939C2211yescharacteristic, complemented
130#4939C2211yescharacteristic, complemented
131#4939C2211yescharacteristic, complemented
132#4939C2211yescharacteristic, complemented
133C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
134#4677C2211yescharacteristic, complemented
135#4677C2211yescharacteristic, complemented
136#4677C2211yescharacteristic, complemented
137#4674C2211yescharacteristic, complemented
138#4674C2211yescharacteristic, complemented
139#4674C2211yescharacteristic, complemented
140#4672C2211yescharacteristic
141#4672C2211yescharacteristic
142#4672C2211yescharacteristic
143#4672C2211yescharacteristic
144#4672C2211yescharacteristic
145#4672C2211yescharacteristic
146#4672C2211yescharacteristic, complemented
147#4672C2211yescharacteristic, complemented
148#4672C2211yescharacteristic, complemented
149#4672C2211yescharacteristic, complemented
150#4672C2211yescharacteristic, complemented
151#4671C2211yescharacteristic
152#4671C2211yescharacteristic
153#4671C2211yescharacteristic
154#4671C2211yescharacteristic
155#4671C2211yescharacteristic
156#4671C2211yescharacteristic
157#4671C2211yescharacteristic, complemented
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#539—31no—
192#2730—31no—
193#2730—31no—
194#2714—31no—
195#2711—31no—
196#2711—31no—
197#2707—31no—
198#2705—31no—
199#2685—31no—
200#2678—31no—
201#2678—31no—
202#2673—31no—
203#2669—31no—
204#2630—31no—
205#2613—31no—
206#2600—31no—
207#2480—31no—
208#2460—31no—
209#2456—31no—
210#2456—31no—
211#2443—31no—
212#2428—31no—
213#2424—31no—
214#2418—31no—
215#2418—31no—
216#2416—31no—
217#2408—31no—
218#2407—31no—
219#2407—31no—
220#2378D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C2×#239—24no—
229C2×#239—42no—
230C2×#239—42no—
231C22×D12—24no—
232C22×D12—42no—
233C22×D12—42no—
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C3×C22⋊Q8D418yescomplemented
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊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×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285#947—24no—
286#946—24no—
287#946—24no—
288#929—24no—
289C4×#67—24no—
290C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#898—24no—
364#895—24no—
365#895—24no—
366#895—24no—
367#895—42no—
368#895—42no—
369#895—42no—
370#895—42no—
371#895—42no—
372#895—42no—
373#894—24no—
374#894—24no—
375#894—24no—
376#893—24no—
377#893—24no—
378D3×C4⋊C4—24no—
379#889—24no—
380#889—24no—
381#884—24no—
382#883—24no—
383#883—24no—
384#882—24no—
385#882—24no—
386#882—42no—
387#882—42no—
388#882—42no—
389#882—42no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392#879—24no—
393#874—42no—
394C4×D12—42no—
395C4×D12—42no—
396C4×D12—42no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#539—68no—
427C2×#127—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#125—31no—
431C2×#125—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8C2×D311yescharacteristic
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#399—31no—
469#399—31no—
470#399—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#391C2×D311yescharacteristic, complemented
517#391C2×D311yescharacteristic, complemented
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#389C2×D311yescharacteristic, complemented
528#389C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic
540#388C2×D311yescharacteristic
541#388C2×D311yescharacteristic
542#388C2×D311yescharacteristic
543#387—31no—
544#387—31no—
545#387—31no—
546#387C2×D311yescharacteristic, complemented
547#387C2×D311yescharacteristic, complemented
548#387C2×D311yescharacteristic, complemented
549#387C2×D311yescharacteristic, complemented
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#381C2×D311yescharacteristic
571#380—31no—
572#380—31no—
573#380—31no—
574#380C2×D311yescharacteristic
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579C4×C22⋊C4—31no—
580C24×C3C2411yescharacteristic
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×Q8C2×D414yes—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2×D414yes—
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
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—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640#239—416no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—416no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C3×C4⋊C4—41no—
727C3×C4⋊C4—41no—
728C3×C4⋊C4—41no—
729C3×C4⋊C4—41no—
730C3×C4⋊C4—41no—
731C3×C4⋊C4—41no—
732C3×C4⋊C4C2×D414yes—
733C3×C4⋊C4C2×D414yes—
734C3×C4⋊C4C2×D414yes—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4C2×D414yes—
740C3×C22⋊C4C2×D414yes—
741C3×C42—41no—
742C3×C42—41no—
743C3×C42—41no—
744C3×C42—41no—
745#217—22no—
746#217—22no—
747#217—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C25—31no—
821C25—31no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C22×Q8C22×D311yescharacteristic
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—64no—
849C22×D4—122no—
850C22×D4—122no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4C22×D311yescharacteristic
861#127—122no—
862#126—64no—
863#126—64no—
864#125—64no—
865#125—64no—
866#124—64no—
867#123—64no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—64no—
873C22⋊Q8—64no—
874C22⋊Q8—64no—
875C22⋊Q8D1218yescomplemented
876#121—64no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—122no—
881#121—122no—
882#121—122no—
883#121—122no—
884#121—122no—
885#121—122no—
886#120—64no—
887#120—64no—
888#120—122no—
889#120—122no—
890#120—122no—
891#120—122no—
892C4×D4—64no—
893C4×D4—64no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—122no—
897C4×D4—122no—
898C4×D4—122no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—64no—
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—64no—
982C2×C22⋊C4—64no—
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42C22×D311yescharacteristic
993C2×C42C22×D311yescharacteristic
994C2×C42C22×D311yescharacteristic
995C2×C42C22×D311yescharacteristic
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3C22×D412yes—
1029C23×C3C2511yescharacteristic
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
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×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—82no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3H(5,𝔽2)12yes—
1091C22×D3H(5,𝔽2)12yes—
1092C22×D3H(5,𝔽2)12yes—
1093C3×Q8—44no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—44no—
1131C2×C3×C4C22×D412yes—
1132C2×C3×C4C22×D412yes—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4C22×D412yes—
1135C2×C3×C4C22×D412yes—
1136C2×C3×C4C22×D412yes—
1137#67—44no—
1138#67—44no—
1139#67—82no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167D12—28no—
1168D12—44no—
1169D12—44no—
1170D12—44no—
1171D12—44no—
1172D12—44no—
1173D12—44no—
1174D12—44no—
1175D12—44no—
1176D12—44no—
1177D12—82no—
1178D12—82no—
1179D12—82no—
1180D12—82no—
1181D12—82no—
1182D12—82no—
1183D12—82no—
1184D12—82no—
1185D12—82no—
1186C4×D3—44no—
1187C4×D3—44no—
1188C4×D3—44no—
1189C4×D3—44no—
1190C4×D3—82no—
1191C4×D3—82no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195C24—31no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—31no—
1200C24—31no—
1201C24—31no—
1202C24—62no—
1203C24—62no—
1204C24—62no—
1205C24—62no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24C23×D311yescharacteristic
1217#41—1216no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8C2×D1214yes—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—1216no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4C2×D1214yes—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4C2×D1214yes—
1366C4⋊C4C2×D1214yes—
1367C4⋊C4C2×D1214yes—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4C2×D1214yes—
1427C22⋊C4C2×D1214yes—
1428C42—41no—
1429C42—41no—
1430C42—41no—
1431C42—41no—
1432C42—62no—
1433C42—62no—
1434C42—62no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3C23×D411yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3C2×H(5,𝔽2)11yescharacteristic
1445C22×C3C2×H(5,𝔽2)11yescharacteristic
1446C22×C3#58511yescharacteristic
1447C22×C3#58511yescharacteristic
1448C22×C3#58511yescharacteristic
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—88no—
1499C2×D3—88no—
1500C3×C4—22no—
1501C3×C4—22no—
1502C3×C4—22no—
1503C3×C4—22no—
1504C3×C4—22no—
1505C3×C4—22no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514Dic3—41no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—32no—
1530C23—32no—
1531C23—32no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—124no—
1579C23—124no—
1580C23—124no—
1581C23—124no—
1582C23—242no—
1583C23—242no—
1584C23—242no—
1585C23—242no—
1586C23—242no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23C22×D1212yes—
1593C23C24×D311yescharacteristic
1594Q8—44no—
1595D4—68no—
1596D4—124no—
1597D4—124no—
1598D4—124no—
1599D4—124no—
1600D4—124no—
1601D4—124no—
1602D4—124no—
1603D4—124no—
1604D4—124no—
1605D4—124no—
1606D4—124no—
1607D4—242no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611D4—242no—
1612D4—242no—
1613D4—242no—
1614D4—242no—
1615D4—242no—
1616D4—242no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—44no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—124no—
1682C2×C4—124no—
1683C2×C4—124no—
1684C2×C4—124no—
1685C2×C4—242no—
1686C2×C4—242no—
1687C2×C4—242no—
1688C2×C4—242no—
1689C2×C4—242no—
1690C2×C4C22×D1212yes—
1691C2×C4C22×D1212yes—
1692C2×C4C22×D1212yes—
1693C2×C4C22×D1212yes—
1694C2×C4C22×D1212yes—
1695C2×C4C22×D1212yes—
1696C2×C3—42no—
1697C2×C3#348411yescharacteristic
1698C2×C3#348711yescharacteristic
1699C2×C3#348811yescharacteristic
1700C2×C3#353311yescharacteristic
1701C2×C3#353411yescharacteristic
1702C2×C3#353411yescharacteristic
1703C2×C3#356011yescharacteristic
1704D3—42no—
1705D3—42no—
1706D3—42no—
1707D3—81no—
1708D3—81no—
1709D3—81no—
1710D3—81no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—62no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—62no—
1723C22—62no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—248no—
1768C22—248no—
1769C22C23×D1211yescharacteristic
1770C22D3×H(5,𝔽2)11yescharacteristic
1771C22D3×H(5,𝔽2)11yescharacteristic
1772C22D3×H(5,𝔽2)11yescharacteristic
1773C22#596811yescharacteristic
1774C22#596811yescharacteristic
1775C22#596811yescharacteristic
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—121no—
1791C4—121no—
1792C4—121no—
1793C4—121no—
1794C4—121no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C3#4784011yescharacteristic, complemented, Sylow
1800C2—42no—
1801C2—122no—
1802C2—122no—
1803C2—122no—
1804C2—241no—
1805C2—241no—
1806C2—241no—
1807C2—241no—
1808C2#8586711yescharacteristic
1809C2#8587411yescharacteristic
1810C2#8590011yescharacteristic
1811C2#8710911yescharacteristic
1812C2#8710911yescharacteristic
1813C2#8712811yescharacteristic
1814C2#8713511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2378C2
hypercenter#2378D3
hypocenterC3#47840
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2378

Complements

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

NH ≅ G/Ntype
1. C2×#5630C2semidirect
2. C2×#5638C2semidirect
3. C3×#2378C2semidirect
4. #76618C2semidirect
5. #76618C2semidirect
6. #76571C2semidirect
7. #76571C2semidirect
8. #76220C2semidirect
9. #76211C2semidirect
10. #76114C2semidirect
11. #76113C2semidirect
12. #75918C2semidirect
13. #75916C2semidirect
14. #75916C2semidirect
15. #75912C2semidirect
16. #75846C2semidirect
17. #75844C2semidirect
18. #75844C2semidirect
19. #75540C2semidirect
20. #75387C2semidirect
21. #75323C2semidirect
22. #75323C2semidirect
23. #75319C2semidirect
24. #75160C2semidirect
25. #75155C2semidirect
26. #75155C2semidirect
27. #74990C2semidirect
28. #74134C2semidirect
29. #74133C2semidirect
30. #74034C2semidirect
31. #74016C2semidirect
37. C2×#946C22semidirect
38. C2×#946C22semidirect
44. C2×#898C22semidirect
50. C2×#895C22semidirect
51. C2×#895C22semidirect
52. C2×#895C22semidirect
53. C2×#895C22semidirect
56. C2×#894C22semidirect
58. C2×#893C22semidirect
59. C2×D3×C4⋊C4C22semidirect
60. C2×#889C22semidirect
61. C2×#889C22semidirect
74. C2×#874C22semidirect
75. C2×C4×D12C22semidirect
76. C2×C4×D12C22semidirect
77. C2×C4×D12C22semidirect
78. C3×#391C22semidirect
79. C3×#391C22semidirect
80. C3×#389C22semidirect
81. C3×#389C22semidirect
86. C3×#387C22semidirect
87. C3×#387C22semidirect
88. C3×#387C22semidirect
89. C3×#387C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4991C22semidirect
100. #4991C22semidirect
101. #4991C22semidirect
102. #4991C22semidirect
105. #4988C22semidirect
106. #4987C22semidirect
107. #4987C22semidirect
108. #4987C22semidirect
109. #4981C22semidirect
122. #4940C22semidirect
123. #4940C22semidirect
124. #4940C22semidirect
125. #4940C22semidirect
126. #4940C22semidirect
127. #4939C22semidirect
128. #4939C22semidirect
129. #4939C22semidirect
130. #4939C22semidirect
131. #4939C22semidirect
132. #4939C22semidirect
133. C4×(C2×D3)⋊C4C22semidirect
134. #4677C22semidirect
135. #4677C22semidirect
136. #4677C22semidirect
137. #4674C22semidirect
138. #4674C22semidirect
139. #4674C22semidirect
146. #4672C22semidirect
147. #4672C22semidirect
148. #4672C22semidirect
149. #4672C22semidirect
150. #4672C22semidirect
157. #4671C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
220. #2378D3semidirect
262. C3×C22⋊Q8D4semidirect
516. #391C2×D3semidirect
517. #391C2×D3semidirect
527. #389C2×D3semidirect
528. #389C2×D3semidirect
546. #387C2×D3semidirect
547. #387C2×D3semidirect
548. #387C2×D3semidirect
549. #387C2×D3semidirect
875. C22⋊Q8D12semidirect
1799. C3#47840semidirect

Maximal subgroups

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

subgroupindex
C2×#56302
C2×#56382
C3×#23782
#766182
#765712
#762202
#762112
#761142
#761132
#759182
#759162
#759122
#758462
#758442
#755402
#753872
#753232
#753192
#751602
#751552
#749902
#741342
#741332
#740342
#740162
#478403