Finite Group Databasebeta

← #11302241

Subgroups — #11302241

Order 768.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×#5620C211yesmaximal, characteristic, complemented
3C3×#2686C211yesmaximal, characteristic, complemented
4#82996C211yesmaximal, characteristic, complemented
5#82670C211yesmaximal, characteristic, complemented
6#77668C211yesmaximal, characteristic, complemented
7#77576C211yesmaximal, characteristic, complemented
8#77262C211yesmaximal, characteristic, complemented
9#77184C211yesmaximal, characteristic, complemented
10#77133C211yesmaximal, characteristic, complemented
11#77123C211yesmaximal, characteristic, complemented
12#77028C211yesmaximal, characteristic, complemented
13#77012C211yesmaximal, characteristic, complemented
14#76944C211yesmaximal, characteristic, complemented
15#76906C211yesmaximal, characteristic, complemented
16#76878C211yesmaximal, characteristic, complemented
17#76822C211yesmaximal, characteristic, complemented
18#75888C211yesmaximal, characteristic, complemented
19#75850C211yesmaximal, characteristic, complemented
20#75324C211yesmaximal, characteristic, complemented
21#75173C211yesmaximal, characteristic, complemented
22#74890C211yesmaximal, characteristic, complemented
23#74879C211yesmaximal, characteristic, complemented
24#74790C211yesmaximal, characteristic, complemented
25#74719C211yesmaximal, characteristic, complemented
26#74636C211yesmaximal, characteristic, complemented
27#74410C211yesmaximal, characteristic, complemented
28#74139C211yesmaximal, characteristic, complemented
29#74065C211yesmaximal, characteristic, complemented
30#74031C211yesmaximal, characteristic, complemented
31#73923C211yesmaximal, characteristic, complemented
32#47850—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×#947C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic, complemented
38C2×#940C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×D4×Dic3C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51#5678—28no—
52#5620—28no—
53C2×#898C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#886C2211yescharacteristic
57C2×#886C2211yescharacteristic
58C2×#886C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic
73C2×#879C2211yescharacteristic
74C2×#876C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#395C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#393C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#387C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#385C2211yescharacteristic, complemented
87C3×#381C2211yescharacteristic, complemented
88C3×#380C2211yescharacteristic
89#5229C2211yescharacteristic, complemented
90#5223C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5212C2211yescharacteristic
95C4×#217C2211yescharacteristic
96C2×C3⋊#95C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic
107#4984C2211yescharacteristic, complemented
108#4983C2211yescharacteristic, complemented
109#4982C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4952C2211yescharacteristic
138#4952C2211yescharacteristic
139#4952C2211yescharacteristic, complemented
140#4950C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4946C2211yescharacteristic
144#4945C2211yescharacteristic, complemented
145#4942C2211yescharacteristic
146#4942C2211yescharacteristic, complemented
147#4942C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic
154#4675C2211yescharacteristic, complemented
155#4674C2211yescharacteristic
156#4674C2211yescharacteristic
157#4674C2211yescharacteristic
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4670C2211yescharacteristic
161#4670C2211yescharacteristic, complemented
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#538—31no—
192#2722—31no—
193#2708—31no—
194#2701—31no—
195#2695—31no—
196#2691—31no—
197#2688—31no—
198#2687—31no—
199#2686D311yescharacteristic, complemented
200#2680—31no—
201#2676—31no—
202#2673—31no—
203#2671—31no—
204#2617—31no—
205#2617—31no—
206#2559—31no—
207#2543—31no—
208#2537—31no—
209#2521—31no—
210#2496—31no—
211#2464—31no—
212#2457—31no—
213#2455—31no—
214#2445—31no—
215#2427—31no—
216#2425—31no—
217#2419—31no—
218#2412—31no—
219#2412—31no—
220#2358—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C3×#124—24no—
254C3×#121—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊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×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#947—24no—
284#946—24no—
285#946—42no—
286#940—24no—
287#939—24no—
288#939—24no—
289#939—24no—
290#939—42no—
291#938—24no—
292#937—24no—
293#937D418yescomplemented
294D4×Dic3—42no—
295#930—24no—
296#930—42no—
297#929—24no—
298C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#894—24no—
362#894—42no—
363#886—24no—
364#886—24no—
365#886—42no—
366#884—24no—
367#884—24no—
368#884—24no—
369#884—42no—
370#883—24no—
371#883—42no—
372#882—24no—
373#882—24no—
374#67⋊C4—24no—
375#67⋊C4—42no—
376#67⋊C4—42no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—42no—
379#879—24no—
380#879—24no—
381#876—24no—
382C4×D12—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
417#560—68no—
418#538—68no—
419C2×#127—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#124—31no—
425C2×#124C2×D311yescharacteristic
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121C2×D311yescharacteristic
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460#400—31no—
461#400—31no—
462#400—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic
480#396—31no—
481#396—31no—
482#395C2×D311yescharacteristic, complemented
483#394—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#394C2×D311yescharacteristic
499#394C2×D311yescharacteristic, complemented
500#394C2×D311yescharacteristic, complemented
501#393C2×D311yescharacteristic, complemented
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#391—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387C2×D311yescharacteristic, complemented
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
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#386C2×D311yescharacteristic
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385C2×D311yescharacteristic, complemented
556#384—31no—
557#381—31no—
558#381—31no—
559#381C2×D311yescharacteristic, complemented
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2×D414yes—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4C2×D414yes—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
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
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
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—
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×#67C2×D414yes—
647C2×#67C2×D414yes—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
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×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
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—22no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C42—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217C2×D414yes—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4C2×D414yes—
764(C2×D3)⋊C4C2×D414yes—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C25—31no—
795C22×Q8C22×D311yescharacteristic
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4C22×D311yescharacteristic
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826#127—64no—
827#126—64no—
828#126—64no—
829#126—64no—
830#126—64no—
831#124—24no—
832#124—64no—
833#123—64no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—122no—
839#123—122no—
840#123—122no—
841C22⋊Q8—64no—
842C22⋊Q8—122no—
843#121—24no—
844#121—64no—
845#121—64no—
846#121—64no—
847#121—64no—
848#121—64no—
849#121—64no—
850#121—64no—
851#121—64no—
852#121—122no—
853#121—122no—
854#121—122no—
855#120—38no—
856#120—64no—
857#120—64no—
858#120—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862C4×D4—122no—
863C4×D4—122no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
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⋊C4—31no—
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
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—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—64no—
935C2×C22⋊C4—122no—
936C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42C22×D311yescharacteristic
956#95—31no—
957#95—31no—
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#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990C23×C3—21no—
991C23×C3—21no—
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×C3C22×D412yes—
1010C23×C3C22×D412yes—
1011C23×C3C2511yescharacteristic
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
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—44no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—82no—
1042C22×D3—82no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3C22×D412yes—
1046C22×D3C22×D412yes—
1047C3×Q8—82no—
1048C3×D4—44no—
1049C3×D4—82no—
1050C3×D4—82no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
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×C4—21no—
1085C2×C3×C4—82no—
1086C2×C3×C4—82no—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4H(5,𝔽2)12yes—
1089#67—44no—
1090#67—44no—
1091#67—44no—
1092#67—82no—
1093#67—82no—
1094#67—82no—
1095#67—82no—
1096#67—82no—
1097#67—82no—
1098#67—82no—
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—82no—
1133C2×Dic3—82no—
1134C2×Dic3—82no—
1135C2×Dic3—82no—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138C2×Dic3H(5,𝔽2)12yes—
1139D12—44no—
1140D12—82no—
1141D12—82no—
1142D12—82no—
1143D12—82no—
1144C4×D3—82no—
1145C4×D3—82no—
1146C4×D3—82no—
1147C4×D3—82no—
1148C4×D3—82no—
1149C4×D3—82no—
1150C24—31no—
1151C24—31no—
1152C24—34no—
1153C24—31no—
1154C24—31no—
1155C24—121no—
1156C24—121no—
1157C24—121no—
1158C24—121no—
1159C24—121no—
1160C24—121no—
1161C24C23×D311yescharacteristic
1162C24C23×D311yescharacteristic
1163C24C23×D311yescharacteristic
1164C2×Q8—22no—
1165C2×Q8—41no—
1166C2×Q8—41no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—34no—
1170C2×D4—34no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4D3×D414yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
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—62no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—34no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
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—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
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⋊C4—121no—
1364C42—22no—
1365C42—62no—
1366C42—62no—
1367C42—62no—
1368C42—121no—
1369C42—121no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—41no—
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×C3C23×D411yescharacteristic
1392C22×C3C2×H(5,𝔽2)11yescharacteristic
1393C22×C3C2×H(5,𝔽2)11yescharacteristic
1394C22×C3#58511yescharacteristic
1395C22×C3#58511yescharacteristic
1396C22×C3#58511yescharacteristic
1397C22×C3#58511yescharacteristic
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—88no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439Dic3—22no—
1440Dic3—22no—
1441Dic3—22no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
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—32no—
1471C23—32no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—124no—
1499C23—124no—
1500C23—124no—
1501C23—242no—
1502C23—242no—
1503C23—242no—
1504C23—242no—
1505C23C2×D3×D412yes—
1506C23C2×D3×D412yes—
1507C23C24×D311yescharacteristic
1508Q8—82no—
1509D4—44no—
1510D4—82no—
1511D4—82no—
1512D4—124no—
1513D4—124no—
1514D4—124no—
1515D4—124no—
1516D4—242no—
1517D4—242no—
1518D4—242no—
1519D4—242no—
1520D4—242no—
1521D4—242no—
1522D4—242no—
1523D4—242no—
1524D4—242no—
1525D4—242no—
1526D4—242no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
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—32no—
1562C2×C4—32no—
1563C2×C4—32no—
1564C2×C4—61no—
1565C2×C4—61no—
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—82no—
1598C2×C4—82no—
1599C2×C4—242no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4—242no—
1605C2×C4—242no—
1606C2×C4—242no—
1607C2×C4—242no—
1608C2×C4—242no—
1609C2×C4C2×D3×D412yes—
1610C2×C4#100912yes—
1611C2×C3—42no—
1612C2×C3—42no—
1613C2×C3—81no—
1614C2×C3#348511yescharacteristic
1615C2×C3#349611yescharacteristic
1616C2×C3#349611yescharacteristic
1617C2×C3#354211yescharacteristic
1618C2×C3#356011yescharacteristic
1619C2×C3#356211yescharacteristic
1620C2×C3#356611yescharacteristic
1621D3—42no—
1622D3—42no—
1623D3—81no—
1624D3—81no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
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—62no—
1647C22—62no—
1648C22—62no—
1649C22—62no—
1650C22—62no—
1651C22—62no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—248no—
1675C22C22×D3×D411yescharacteristic
1676C22C2×#100911yescharacteristic
1677C22#596411yescharacteristic
1678C22D3×H(5,𝔽2)11yescharacteristic
1679C22#596611yescharacteristic
1680C22#596611yescharacteristic
1681C22#596811yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—62no—
1695C4—62no—
1696C4—62no—
1697C4—121no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C3#4785011yescharacteristic, complemented, Sylow
1707C2—42no—
1708C2—42no—
1709C2—81no—
1710C2—122no—
1711C2—122no—
1712C2—241no—
1713C2—241no—
1714C2#8629811yescharacteristic
1715C2#8640411yescharacteristic
1716C2#8654611yescharacteristic
1717C2#8666311yescharacteristic
1718C2#8670211yescharacteristic
1719C2#8696611yescharacteristic
1720C2#8710211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2686C2
hypercenter#2686D3
hypocenterC3#47850
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5620C2semidirect
3. C3×#2686C2semidirect
4. #82996C2semidirect
5. #82670C2semidirect
6. #77668C2semidirect
7. #77576C2semidirect
8. #77262C2semidirect
9. #77184C2semidirect
10. #77133C2semidirect
11. #77123C2semidirect
12. #77028C2semidirect
13. #77012C2semidirect
14. #76944C2semidirect
15. #76906C2semidirect
16. #76878C2semidirect
17. #76822C2semidirect
18. #75888C2semidirect
19. #75850C2semidirect
20. #75324C2semidirect
21. #75173C2semidirect
22. #74890C2semidirect
23. #74879C2semidirect
24. #74790C2semidirect
25. #74719C2semidirect
26. #74636C2semidirect
27. #74410C2semidirect
28. #74139C2semidirect
29. #74065C2semidirect
30. #74031C2semidirect
31. #73923C2semidirect
37. C2×#946C22semidirect
42. C2×#939C22semidirect
58. C2×#886C22semidirect
69. C2×#67⋊C4C22semidirect
77. C3×#395C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
81. C3×#393C22semidirect
82. C3×#388C22semidirect
83. C3×#387C22semidirect
86. C3×#385C22semidirect
87. C3×#381C22semidirect
89. #5229C22semidirect
92. #5220C22semidirect
93. #5213C22semidirect
96. C2×C3⋊#95C22semidirect
97. #4994C22semidirect
103. #4990C22semidirect
104. #4990C22semidirect
107. #4984C22semidirect
108. #4983C22semidirect
109. #4982C22semidirect
110. #4982C22semidirect
111. #4975C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4972C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
130. #4958C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
139. #4952C22semidirect
140. #4950C22semidirect
141. #4950C22semidirect
142. #4950C22semidirect
144. #4945C22semidirect
146. #4942C22semidirect
147. #4942C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. #4928C22semidirect
150. #4677C22semidirect
151. #4676C22semidirect
154. #4675C22semidirect
161. #4670C22semidirect
163. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
170. #4667C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
180. #4661C22semidirect
181. #4661C22semidirect
182. #4660C22semidirect
183. #4660C22semidirect
184. #4658C22semidirect
185. #4657C22semidirect
186. #4654C22semidirect
187. #4652C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
199. #2686D3semidirect
293. #937D4semidirect
482. #395C2×D3semidirect
499. #394C2×D3semidirect
500. #394C2×D3semidirect
501. #393C2×D3semidirect
523. #388C2×D3semidirect
527. #387C2×D3semidirect
555. #385C2×D3semidirect
559. #381C2×D3semidirect
1706. C3#47850semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×#56202
C3×#26862
#829962
#826702
#776682
#775762
#772622
#771842
#771332
#771232
#770282
#770122
#769442
#769062
#768782
#768222
#758882
#758502
#753242
#751732
#748902
#748792
#747902
#747192
#746362
#744102
#741392
#740652
#740312
#739232
#478503