Finite Group Databasebeta

← #11097840

Subgroups — #11097840

Order 768.

2456 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5507C211yesmaximal, characteristic, complemented
3C3×#2443C211yesmaximal, characteristic, complemented
4#82897C211yesmaximal, characteristic, complemented
5#82720C211yesmaximal, characteristic, complemented
6#82709C211yesmaximal, characteristic, complemented
7#82413C211yesmaximal, characteristic, complemented
8#82400C211yesmaximal, characteristic, complemented
9#82175C211yesmaximal, characteristic, complemented
10#78112C211yesmaximal, characteristic, complemented
11#78092C211yesmaximal, characteristic, complemented
12#78005C211yesmaximal, characteristic, complemented
13#77972C211yesmaximal, characteristic, complemented
14#77694C211yesmaximal, characteristic, complemented
15#77547C211yesmaximal, characteristic, complemented
16#77137C211yesmaximal, characteristic, complemented
17#77126C211yesmaximal, characteristic, complemented
18#75890C211yesmaximal, characteristic, complemented
19#75884C211yesmaximal, characteristic, complemented
20#75306C211yesmaximal, characteristic, complemented
21#75020C211yesmaximal, characteristic, complemented
22#74921C211yesmaximal, characteristic, complemented
23#74911C211yesmaximal, characteristic, complemented
24#74886C211yesmaximal, characteristic, complemented
25#74783C211yesmaximal, characteristic, complemented
26#74778C211yesmaximal, characteristic, complemented
27#74757C211yesmaximal, characteristic, complemented
28#74633C211yesmaximal, characteristic, complemented
29#74624C211yesmaximal, characteristic, complemented
30#74606C211yesmaximal, characteristic, complemented
31#74432C211yesmaximal, characteristic, complemented
32#40500—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×#123C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C22×C3×C4⋊C4C2211yescharacteristic, complemented
39C2×#938C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#929C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50#5657—28no—
51C2×#898C2211yescharacteristic
52C2×#897C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic, complemented
55#5507—28no—
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic, complemented
61C2×#893C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×#888C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic
72C3×#399C2211yescharacteristic
73C3×#398C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#388C2211yescharacteristic
77C3×#387C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic, complemented
81C3×#385C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic, complemented
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5223C2211yescharacteristic, complemented
89#5222C2211yescharacteristic
90#5221C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5212C2211yescharacteristic, complemented
95#5210C2211yescharacteristic, complemented
96#5210C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4992C2211yescharacteristic
101#4992C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4986C2211yescharacteristic, complemented
110#4985C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4960C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic, complemented
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic, complemented
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4953C2211yescharacteristic, complemented
142#4952C2211yescharacteristic
143#4952C2211yescharacteristic
144#4952C2211yescharacteristic
145#4952C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4949C2211yescharacteristic
148#4947C2211yescharacteristic
149#4947C2211yescharacteristic
150#4947C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4945C2211yescharacteristic
154#4940C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic
162#4674C2211yescharacteristic, complemented
163#4673C2211yescharacteristic
164#4673C2211yescharacteristic
165#4673C2211yescharacteristic, complemented
166#4672C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4664C2211yescharacteristic
181D3×#95C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4659C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4648C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#538—31no—
192#2821—31no—
193#2814—31no—
194#2688—31no—
195#2688—31no—
196#2687—31no—
197#2687—31no—
198#2678—31no—
199#2678—31no—
200#2668—31no—
201#2668—31no—
202#2640—31no—
203#2639—31no—
204#2638—31no—
205#2631—31no—
206#2615—31no—
207#2603—31no—
208#2561—31no—
209#2557—31no—
210#2557—31no—
211#2481—31no—
212#2481—31no—
213#2464—31no—
214#2464—31no—
215#2443—31no—
216#2443D311yescharacteristic, complemented
217#2430—31no—
218#2404—31no—
219#2388—31no—
220#2353—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C2×#235—24no—
240C2×#235—24no—
241C2×#235—42no—
242C2×#235—42no—
243C2×#235—42no—
244C2×#235—42no—
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#123—24no—
262C3×#121—42no—
263C3×C4×D4—42no—
264C2×C3×C4⋊C4—24no—
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×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#938—24no—
299#938—42no—
300#937—24no—
301#937—42no—
302#930—24no—
303#930—24no—
304#929—24no—
305#929—24no—
306C4×#67—24no—
307C4×#67—24no—
308C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#898—24no—
360#897—24no—
361#896—24no—
362#896—24no—
363#895—24no—
364#895—42no—
365#894—24no—
366#894—24no—
367#894—24no—
368#893D418yescomplemented
369D3×C4⋊C4—24no—
370#888—24no—
371#885—24no—
372#885—24no—
373#884—24no—
374#884—42no—
375#882—24no—
376#882—42no—
377D3×C22⋊C4—24no—
378#879—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C22×#41—31no—
419#547—68no—
420#538—68no—
421C2×C4⋊Q8—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4C2×D311yescharacteristic, complemented
453C22×C4⋊C4—31no—
454C22×C4⋊C4C2×D311yescharacteristic, complemented
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#399—31no—
461#399C2×D311yescharacteristic
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398C2×D311yescharacteristic, complemented
467#397—31no—
468#397—31no—
469#397—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, complemented
480#396—31no—
481#396—31no—
482#395—31no—
483#395—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#394C2×D311yescharacteristic
493#393—31no—
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—31no—
513#391—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—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#387—31no—
527#387—31no—
528#387—31no—
529#387C2×D311yescharacteristic, complemented
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#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386C2×D311yescharacteristic
550#386C2×D311yescharacteristic
551#386C2×D311yescharacteristic, complemented
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385C2×D311yescharacteristic, complemented
557#385C2×D311yescharacteristic, complemented
558#383—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572#376—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
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
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663#235—416no—
664#235—416no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
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×D12C2×D414yes—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
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×D3C2×D414yes—
703C2×C4×D3C2×D414yes—
704C2×Dic6—22no—
705C2×Dic6—22no—
706C2×Dic6—22no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C2×Dic6—41no—
712C2×Dic6—41no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4C2×D414yes—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C42—41no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—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—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊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)⋊C4C2×D414yes—
775(C2×D3)⋊C4C2×D414yes—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—22no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791C4×Dic3—22no—
792C4×Dic3—41no—
793C4×Dic3—41no—
794C4×Dic3—41no—
795C4×Dic3C2×D414yes—
796C25—31no—
797C2×#41—64no—
798C2×#41—64no—
799C2×#41—122no—
800C2×#41—122no—
801C2×#41—122no—
802C2×#41—122no—
803C22×Q8—31no—
804C22×Q8—31no—
805C22×Q8—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4C22×D311yescharacteristic
833C23×C4C22×D311yescharacteristic
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C4⋊Q8—64no—
837#126—64no—
838#126—64no—
839#124—64no—
840#124—64no—
841#123—24no—
842#123—64no—
843#123—64no—
844#123—64no—
845#123—64no—
846#123—64no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850#121—42no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—122no—
857#121—122no—
858#121—122no—
859#120—64no—
860#120—64no—
861#120—122no—
862#120—122no—
863C4×D4—38no—
864C4×D4—42no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—122no—
868C2×C4⋊C4—24no—
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—64no—
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
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—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42C22×D311yescharacteristic
954#95—31no—
955#95—31no—
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#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3H(5,𝔽2)12yes—
1013C23×C3C2511yescharacteristic
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—21no—
1039C22×D3—44no—
1040C22×D3—82no—
1041C22×D3—82no—
1042C22×D3—82no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3C22×D412yes—
1047C22×D3C22×D412yes—
1048C22×D3H(5,𝔽2)12yes—
1049C3×D4—44no—
1050C3×D4—82no—
1051C3×D4—82no—
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—44no—
1086C2×C3×C4—44no—
1087C2×C3×C4—44no—
1088C2×C3×C4—82no—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091C2×C3×C4C22×D412yes—
1092#67—28no—
1093#67—44no—
1094#67—44no—
1095#67—44no—
1096#67—44no—
1097#67—82no—
1098#67—82no—
1099#67—82no—
1100#67—82no—
1101#67—82no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138D12—44no—
1139D12—44no—
1140D12—44no—
1141D12—82no—
1142D12—82no—
1143C4×D3—44no—
1144C4×D3—44no—
1145C4×D3—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—82no—
1149C4×D3—82no—
1150C4×D3—82no—
1151Dic6—44no—
1152Dic6—44no—
1153Dic6—82no—
1154C24—31no—
1155C24—31no—
1156C24—31no—
1157C24—31no—
1158C24—62no—
1159C24—121no—
1160C24—121no—
1161C24—121no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168#41—1216no—
1169#41—1216no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—62no—
1173C2×Q8—121no—
1174C2×Q8—121no—
1175C2×Q8—121no—
1176C2×Q8—121no—
1177C2×Q8—121no—
1178C2×Q8—121no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—34no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
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×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—34no—
1242C22×C4—34no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C4⋊C4D3×D414yes—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—34no—
1321C22⋊C4—34no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
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—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C42—34no—
1371C42—41no—
1372C42—62no—
1373C42—121no—
1374C42—121no—
1375C42—121no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3C23×D411yescharacteristic
1398C22×C3C2×H(5,𝔽2)11yescharacteristic
1399C22×C3C2×H(5,𝔽2)11yescharacteristic
1400C22×C3#58511yescharacteristic
1401C22×C3#58511yescharacteristic
1402C22×C3#58511yescharacteristic
1403C22×C3#58511yescharacteristic
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
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—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—88no—
1433C3×C4—22no—
1434C3×C4—22no—
1435C3×C4—22no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443C3×C4—41no—
1444C3×C4—41no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—32no—
1478C23—32no—
1479C23—32no—
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—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—124no—
1506C23—242no—
1507C23—242no—
1508C23—242no—
1509C23—242no—
1510C23—242no—
1511C23—242no—
1512C23#100412yes—
1513C23C24×D311yescharacteristic
1514Q8—124no—
1515Q8—124no—
1516Q8—242no—
1517D4—44no—
1518D4—68no—
1519D4—82no—
1520D4—82no—
1521D4—124no—
1522D4—124no—
1523D4—124no—
1524D4—124no—
1525D4—124no—
1526D4—124no—
1527D4—124no—
1528D4—242no—
1529D4—242no—
1530D4—242no—
1531D4—242no—
1532D4—242no—
1533D4—242no—
1534D4—242no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—32no—
1569C2×C4—32no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—82no—
1608C2×C4—124no—
1609C2×C4—124no—
1610C2×C4—124no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—242no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4C2×D3×D412yes—
1617C2×C4C2×D3×D412yes—
1618C2×C4C2×D3×D412yes—
1619C2×C3—42no—
1620C2×C3—81no—
1621C2×C3—81no—
1622C2×C3#344911yescharacteristic
1623C2×C3#348411yescharacteristic
1624C2×C3#350011yescharacteristic
1625C2×C3#353311yescharacteristic
1626C2×C3#353311yescharacteristic
1627C2×C3#356011yescharacteristic
1628C2×C3#356011yescharacteristic
1629D3—42no—
1630D3—42no—
1631D3—42no—
1632D3—81no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—248no—
1683C22C22×D3×D411yescharacteristic
1684C22C2×#100411yescharacteristic
1685C22#596411yescharacteristic
1686C22#596411yescharacteristic
1687C22#596411yescharacteristic
1688C22D3×H(5,𝔽2)11yescharacteristic
1689C22#596811yescharacteristic
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—62no—
1703C4—62no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C4—121no—
1708C4—121no—
1709C4—121no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C3#4050011yescharacteristic, complemented, Sylow
1715C2—42no—
1716C2—81no—
1717C2—81no—
1718C2—122no—
1719C2—122no—
1720C2—122no—
1721C2—241no—
1722C2#8601611yescharacteristic
1723C2#8603511yescharacteristic
1724C2#8645711yescharacteristic
1725C2#8662011yescharacteristic
1726C2#8669711yescharacteristic
1727C2#8671511yescharacteristic
1728C2#8692011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2443C2
hypercenter#2443D3
hypocenterC3#40500
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5507C2semidirect
3. C3×#2443C2semidirect
4. #82897C2semidirect
5. #82720C2semidirect
6. #82709C2semidirect
7. #82413C2semidirect
8. #82400C2semidirect
9. #82175C2semidirect
10. #78112C2semidirect
11. #78092C2semidirect
12. #78005C2semidirect
13. #77972C2semidirect
14. #77694C2semidirect
15. #77547C2semidirect
16. #77137C2semidirect
17. #77126C2semidirect
18. #75890C2semidirect
19. #75884C2semidirect
20. #75306C2semidirect
21. #75020C2semidirect
22. #74921C2semidirect
23. #74911C2semidirect
24. #74886C2semidirect
25. #74783C2semidirect
26. #74778C2semidirect
27. #74757C2semidirect
28. #74633C2semidirect
29. #74624C2semidirect
30. #74606C2semidirect
31. #74432C2semidirect
34. C22×#235C22semidirect
37. C2×C3×C4×D4C22semidirect
38. C22×C3×C4⋊C4C22semidirect
46. C2×#929C22semidirect
48. C2×C4×#67C22semidirect
49. C2×C4×#67C22semidirect
54. C2×#896C22semidirect
60. C2×#894C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×#888C22semidirect
73. C3×#398C22semidirect
74. C3×#397C22semidirect
77. C3×#387C22semidirect
80. C3×#386C22semidirect
81. C3×#385C22semidirect
82. C3×#385C22semidirect
87. #5223C22semidirect
88. #5223C22semidirect
94. #5212C22semidirect
95. #5210C22semidirect
96. #5210C22semidirect
97. C4×#217C22semidirect
106. #4989C22semidirect
107. #4987C22semidirect
108. #4987C22semidirect
109. #4986C22semidirect
110. #4985C22semidirect
111. #4982C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4980C22semidirect
115. #4979C22semidirect
116. #4979C22semidirect
117. #4978C22semidirect
123. #4960C22semidirect
126. #4959C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
141. #4953C22semidirect
145. #4952C22semidirect
146. #4951C22semidirect
150. #4947C22semidirect
151. #4947C22semidirect
152. #4947C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
160. #4675C22semidirect
162. #4674C22semidirect
165. #4673C22semidirect
168. #4670C22semidirect
169. #4668C22semidirect
170. #4666C22semidirect
177. #4665C22semidirect
181. D3×#95C22semidirect
182. #4659C22semidirect
183. #4659C22semidirect
184. #4657C22semidirect
185. #4653C22semidirect
186. #4651C22semidirect
187. #4648C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
216. #2443D3semidirect
368. #893D4semidirect
452. C2×C4×D4C2×D3semidirect
454. C22×C4⋊C4C2×D3semidirect
466. #398C2×D3semidirect
479. #397C2×D3semidirect
529. #387C2×D3semidirect
551. #386C2×D3semidirect
556. #385C2×D3semidirect
557. #385C2×D3semidirect
1714. C3#40500semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#55072
C3×#24432
#828972
#827202
#827092
#824132
#824002
#821752
#781122
#780922
#780052
#779722
#776942
#775472
#771372
#771262
#758902
#758842
#753062
#750202
#749212
#749112
#748862
#747832
#747782
#747572
#746332
#746242
#746062
#744322
#405003