Finite Group Databasebeta

← #11635463

Subgroups — #11635463

Order 768.

2386 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5637C211yesmaximal, characteristic, complemented
2C2×#5580C211yesmaximal, characteristic, complemented
3C3×#2429C211yesmaximal, characteristic, complemented
4#83257C211yesmaximal, characteristic, complemented
5#83233C211yesmaximal, characteristic, complemented
6#82816C211yesmaximal, characteristic, complemented
7#82804C211yesmaximal, characteristic, complemented
8#82767C211yesmaximal, characteristic, complemented
9#82473C211yesmaximal, characteristic, complemented
10#77983C211yesmaximal, characteristic, complemented
11#77955C211yesmaximal, characteristic, complemented
12#77951C211yesmaximal, characteristic, complemented
13#77772C211yesmaximal, characteristic, complemented
14#77416C211yesmaximal, characteristic
15#77414C211yesmaximal, characteristic, complemented
16#77350C211yesmaximal, characteristic, complemented
17#77302C211yesmaximal, characteristic, complemented
18#76628C211yesmaximal, characteristic, complemented
19#76515C211yesmaximal, characteristic, complemented
20#76217C211yesmaximal, characteristic, complemented
21#76204C211yesmaximal, characteristic, complemented
22#76203C211yesmaximal, characteristic, complemented
23#76131C211yesmaximal, characteristic, complemented
24#76027C211yesmaximal, characteristic, complemented
25#75963C211yesmaximal, characteristic, complemented
26#75850C211yesmaximal, characteristic, complemented
27#75844C211yesmaximal, characteristic, complemented
28D3×#388C211yesmaximal, characteristic, complemented
29#75475C211yesmaximal, characteristic, complemented
30#73578C211yesmaximal, characteristic, complemented
31#73577C211yesmaximal, characteristic, complemented
32#59108—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic, complemented
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C4×Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43#5637—28no—
44#5580—28no—
45C2×#898C2211yescharacteristic
46C2×#898C2211yescharacteristic
47C2×#898C2211yescharacteristic, complemented
48C2×#898C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#892C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×D3×C4⋊C4C2211yescharacteristic
60C2×#890C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic, complemented
73C2×#872C2211yescharacteristic, complemented
74C2×#872C2211yescharacteristic, complemented
75C2×C42×D3C2211yescharacteristic
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#391C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#389C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic
85C3×#388C2211yescharacteristic
86C3×C4×C22⋊C4C2211yescharacteristic
87#5231C2211yescharacteristic
88#5231C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5230C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5210C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic, complemented
97#4993C2211yescharacteristic
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic
118#4987C2211yescharacteristic, complemented
119#4986C2211yescharacteristic, complemented
120#4984C2211yescharacteristic, complemented
121#4984C2211yescharacteristic, complemented
122#4984C2211yescharacteristic, complemented
123#4982C2211yescharacteristic, complemented
124#4982C2211yescharacteristic, complemented
125#4980C2211yescharacteristic, complemented
126#4978C2211yescharacteristic, complemented
127#4978C2211yescharacteristic, complemented
128#4977C2211yescharacteristic, complemented
129#4975C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131Dic3×C4⋊C4C2211yescharacteristic, complemented
132#4972C2211yescharacteristic, complemented
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic
135#4960C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4956C2211yescharacteristic
139#4955C2211yescharacteristic
140#4953C2211yescharacteristic
141#4951C2211yescharacteristic
142#4950C2211yescharacteristic
143#4950C2211yescharacteristic
144#4945C2211yescharacteristic
145#4944C2211yescharacteristic
146#4944C2211yescharacteristic
147#4942C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic
151#4939C2211yescharacteristic
152C4×(C2×D3)⋊C4C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
154#4933C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4677C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4672C2211yescharacteristic
162#4670C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2727—31no—
193#2723—31no—
194#2718—31no—
195#2695—31no—
196#2519—31no—
197#2498—31no—
198#2491—31no—
199#2479—31no—
200#2475—31no—
201#2474—31no—
202#2469—31no—
203#2461—31no—
204#2455—31no—
205#2450—31no—
206#2443—31no—
207#2440—31no—
208#2437—31no—
209#2429D311yescharacteristic, complemented
210#2425—31no—
211#2424—31no—
212#2418—31no—
213#2411—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217#2354—31no—
218#2349—31no—
219#2296—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C3×C4⋊Q8—42no—
244C3×C22⋊Q8—24no—
245C3×C22⋊Q8—42no—
246C3×C4×Q8—24no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊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×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275#947—24no—
276#947—24no—
277#946—24no—
278#946—24no—
279C4×#67—24no—
280C2×(C2×D3)⋊C4—24no—
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊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×C4×Dic3C2311yescharacteristic
352#898—24no—
353#898—24no—
354#898—24no—
355#898—24no—
356#895—24no—
357#895—42no—
358#894—24no—
359#894—24no—
360#894—42no—
361#894D418yescomplemented
362#893—24no—
363#893—24no—
364#892—24no—
365#892—24no—
366D3×C4⋊C4—42no—
367#890—24no—
368#886—24no—
369#883—24no—
370#882—24no—
371#882—24no—
372#67⋊C4—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375D3×C22⋊C4—42no—
376#877—24no—
377C4×D12—24no—
378C4×D12—24no—
379C4×D12—24no—
380#872—24no—
381#872—24no—
382C42×D3—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#551—68no—
418C2×C4⋊Q8C2×D311yescharacteristic, complemented
419#529—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#125—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×C22⋊Q8C2×D311yescharacteristic
437C2×#121—31no—
438C2×#121—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8C2×D311yescharacteristic, complemented
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×#117—31no—
450C2×#117—31no—
451C2×#117—31no—
452C2×#117—31no—
453C2×#117—31no—
454C22×C4⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C42—31no—
460#400—31no—
461#400—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398C2×D311yescharacteristic, complemented
470#398C2×D311yescharacteristic, complemented
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#396C2×D311yescharacteristic
479#396C2×D311yescharacteristic
480#395—31no—
481#395—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#393—31no—
490#393—31no—
491#392—31no—
492#391C2×D311yescharacteristic, complemented
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389C2×D311yescharacteristic, complemented
504#389C2×D311yescharacteristic, complemented
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—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#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
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#384—31no—
555#382—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C4⋊C4—31no—
567C4×C4⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C22×C3×C4—22no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—41no—
614C2×#67—41no—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—41no—
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12C2×D414yes—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3C2×D414yes—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4C2×D414yes—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4#4114yes—
695C3×C42—22no—
696C3×C42—22no—
697C3×C42—22no—
698C3×C42—41no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—41no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4C2×D414yes—
736(C2×D3)⋊C4C2×D414yes—
737(C2×D3)⋊C4C2×D414yes—
738(C2×D3)⋊C4#4114yes—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—41no—
747C4⋊Dic3—41no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4C2×D414yes—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C25—31no—
775C22×Q8C22×D311yescharacteristic
776C22×Q8C22×D311yescharacteristic
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4C22×D311yescharacteristic
796C4⋊Q8—42no—
797#126—64no—
798#126—64no—
799#126—64no—
800#126—64no—
801#125—64no—
802#124—64no—
803#124—64no—
804#123—38no—
805#123—64no—
806#123—64no—
807#123—64no—
808#123—64no—
809#123—122no—
810C22⋊Q8—24no—
811C22⋊Q8—42no—
812C22⋊Q8—64no—
813C22⋊Q8—64no—
814#121—64no—
815#121—122no—
816#120—64no—
817#120—64no—
818C4×Q8—24no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823C4×D4—64no—
824C4×D4—64no—
825C4×D4—64no—
826#117—64no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—122no—
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4—64no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4—122no—
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—64no—
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3C2×#4112yes—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—44no—
1003C22×D3—44no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—82no—
1007C22×D3—82no—
1008C22×D3—82no—
1009C22×D3C22×D412yes—
1010C22×D3C22×D412yes—
1011C22×D3C2×#4112yes—
1012C22×D32−1+412yes—
1013C3×Q8—44no—
1014C3×Q8—82no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—82no—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C22×D412yes—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C2×#4112yes—
1055C2×C3×C4C2×#4112yes—
1056C2×C3×C4C2×#4112yes—
1057C2×C3×C4H(5,𝔽2)12yes—
1058#67—44no—
1059#67—44no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—44no—
1094C2×Dic3C22×D412yes—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C2×#4112yes—
1097D12—28no—
1098D12—44no—
1099D12—44no—
1100D12—82no—
1101D12—82no—
1102C4×D3—28no—
1103C4×D3—44no—
1104C4×D3—44no—
1105C4×D3—44no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—82no—
1109C4×D3—82no—
1110C4×D3—82no—
1111C4×D3—82no—
1112C24—31no—
1113C24—31no—
1114C24—31no—
1115C24—31no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—121no—
1121C24—121no—
1122C24—121no—
1123C24C23×D311yescharacteristic
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—22no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×D4—34no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C22×C4—22no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—34no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—34no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4D3×D414yes—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—34no—
1257C22⋊C4—34no—
1258C22⋊C4—34no—
1259C22⋊C4—34no—
1260C22⋊C4—41no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4#23914yes—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—41no—
1302C42—62no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—62no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3C23×D411yescharacteristic
1320C22×C3C22×#4111yescharacteristic
1321C22×C3C22×#4111yescharacteristic
1322C22×C3C2×H(5,𝔽2)11yescharacteristic
1323C22×C3C2×2−1+411yescharacteristic
1324C22×C3#58511yescharacteristic
1325C22×C3#58511yescharacteristic
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—88no—
1354C2×D3#54714yes—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—22no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369Dic3—22no—
1370Dic3—22no—
1371Dic3—22no—
1372Dic3—41no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—32no—
1388C23—32no—
1389C23—32no—
1390C23—32no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—124no—
1416C23—124no—
1417C23—124no—
1418C23—124no—
1419C23—242no—
1420C23—242no—
1421C23—242no—
1422C23C2×#23912yes—
1423C23C24×D311yescharacteristic
1424Q8—44no—
1425Q8—82no—
1426D4—68no—
1427D4—124no—
1428D4—124no—
1429D4—124no—
1430D4—124no—
1431D4—242no—
1432D4—242no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—32no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—68no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—82no—
1506C2×C4—124no—
1507C2×C4—124no—
1508C2×C4—124no—
1509C2×C4—124no—
1510C2×C4—124no—
1511C2×C4—124no—
1512C2×C4—242no—
1513C2×C4—242no—
1514C2×C4—242no—
1515C2×C4—242no—
1516C2×C4C2×D3×D412yes—
1517C2×C4C2×D3×D412yes—
1518C2×C4C2×D3×D412yes—
1519C2×C4#100412yes—
1520C2×C4C2×#23912yes—
1521C2×C4C2×#23912yes—
1522C2×C4D3×#4112yes—
1523C2×C3—42no—
1524C2×C3C2×#54711yescharacteristic
1525C2×C3D4×#4111yescharacteristic
1526C2×C3#347511yescharacteristic
1527C2×C3#348811yescharacteristic
1528C2×C3#351411yescharacteristic
1529C2×C3#352011yescharacteristic
1530C2×C3#356411yescharacteristic
1531D3—24no—
1532D3—42no—
1533D3—81no—
1534D3—81no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—34no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—248no—
1571C22C22×D3×D411yescharacteristic
1572C22C2×#100411yescharacteristic
1573C22C22×#23911yescharacteristic
1574C22C2×D3×#4111yescharacteristic
1575C22#596411yescharacteristic
1576C22D3×2−1+411yescharacteristic
1577C22#596811yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—62no—
1593C4—62no—
1594C4—62no—
1595C4—121no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C3#5910811yescharacteristic, complemented, Sylow
1605C2—42no—
1606C2—64no—
1607C2—122no—
1608C2—241no—
1609C2—241no—
1610C2#8594911yescharacteristic
1611C2#8627611yescharacteristic
1612C2#8652211yescharacteristic
1613C2D3×#54711yescharacteristic
1614C2#8671711yescharacteristic
1615C2D4×#23911yescharacteristic
1616C2#8675111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2429C2
prime radical#77416C2
hypercenter#2429D3
hypocenterC3#59108
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2429

Complements

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

NH ≅ G/Ntype
1. C2×#5637C2semidirect
2. C2×#5580C2semidirect
3. C3×#2429C2semidirect
4. #83257C2semidirect
5. #83233C2semidirect
6. #82816C2semidirect
7. #82804C2semidirect
8. #82767C2semidirect
9. #82473C2semidirect
10. #77983C2semidirect
11. #77955C2semidirect
12. #77951C2semidirect
13. #77772C2semidirect
15. #77414C2semidirect
16. #77350C2semidirect
17. #77302C2semidirect
18. #76628C2semidirect
19. #76515C2semidirect
20. #76217C2semidirect
21. #76204C2semidirect
22. #76203C2semidirect
23. #76131C2semidirect
24. #76027C2semidirect
25. #75963C2semidirect
26. #75850C2semidirect
27. #75844C2semidirect
28. D3×#388C2semidirect
29. #75475C2semidirect
30. #73578C2semidirect
31. #73577C2semidirect
33. C2×C3×C4⋊Q8C22semidirect
36. C2×C3×C4×Q8C22semidirect
38. C2×#947C22semidirect
47. C2×#898C22semidirect
48. C2×#898C22semidirect
54. C2×#894C22semidirect
60. C2×#890C22semidirect
72. C2×C4×D12C22semidirect
73. C2×#872C22semidirect
74. C2×#872C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
80. C3×#391C22semidirect
81. C3×#389C22semidirect
82. C3×#389C22semidirect
83. C3×#389C22semidirect
88. #5231C22semidirect
89. #5230C22semidirect
90. #5230C22semidirect
96. #4994C22semidirect
98. #4993C22semidirect
99. #4992C22semidirect
103. #4991C22semidirect
106. #4990C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
118. #4987C22semidirect
119. #4986C22semidirect
120. #4984C22semidirect
121. #4984C22semidirect
122. #4984C22semidirect
123. #4982C22semidirect
124. #4982C22semidirect
125. #4980C22semidirect
126. #4978C22semidirect
127. #4978C22semidirect
128. #4977C22semidirect
129. #4975C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. Dic3×C4⋊C4C22semidirect
132. #4972C22semidirect
153. C4×(C2×D3)⋊C4C22semidirect
154. #4933C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. #4928C22semidirect
157. #4928C22semidirect
159. #4677C22semidirect
160. #4675C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4667C22semidirect
182. D3×#95C22semidirect
183. #4661C22semidirect
184. #4660C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4649C22semidirect
209. #2429D3semidirect
361. #894D4semidirect
418. C2×C4⋊Q8C2×D3semidirect
441. C2×C4×Q8C2×D3semidirect
469. #398C2×D3semidirect
470. #398C2×D3semidirect
492. #391C2×D3semidirect
503. #389C2×D3semidirect
504. #389C2×D3semidirect
505. #389C2×D3semidirect
1604. C3#59108semidirect

Maximal subgroups

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

subgroupindex
C2×#56372
C2×#55802
C3×#24292
#832572
#832332
#828162
#828042
#827672
#824732
#779832
#779552
#779512
#777722
#774162
#774142
#773502
#773022
#766282
#765152
#762172
#762042
#762032
#761312
#760272
#759632
#758502
#758442
D3×#3882
#754752
#735782
#735772
#591083