Finite Group Databasebeta

← #11634097

Subgroups — #11634097

Order 768.

2412 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5557C211yesmaximal, characteristic, complemented
3C3×#2467C211yesmaximal, characteristic, complemented
4#83098C211yesmaximal, characteristic, complemented
5#82411C211yesmaximal, characteristic, complemented
6#78030C211yesmaximal, characteristic, complemented
7#78027C211yesmaximal, characteristic, complemented
8#77120C211yesmaximal, characteristic, complemented
9#77110C211yesmaximal, characteristic, complemented
10#77044C211yesmaximal, characteristic, complemented
11#76948C211yesmaximal, characteristic, complemented
12#76758C211yesmaximal, characteristic, complemented
13#76732C211yesmaximal, characteristic, complemented
14#76454C211yesmaximal, characteristic, complemented
15#76339C211yesmaximal, characteristic, complemented
16#75843C211yesmaximal, characteristic, complemented
17D3×#388C211yesmaximal, characteristic, complemented
18#75517C211yesmaximal, characteristic, complemented
19#75502C211yesmaximal, characteristic, complemented
20#75311C211yesmaximal, characteristic, complemented
21#75151C211yesmaximal, characteristic, complemented
22#74982C211yesmaximal, characteristic, complemented
23#74940C211yesmaximal, characteristic, complemented
24#74894C211yesmaximal, characteristic, complemented
25#74880C211yesmaximal, characteristic, complemented
26#74734C211yesmaximal, characteristic, complemented
27#74726C211yesmaximal, characteristic, complemented
28#74022C211yesmaximal, characteristic, complemented
29#73885C211yesmaximal, characteristic, complemented
30#73578C211yesmaximal, characteristic, complemented
31#73469C211yesmaximal, characteristic, complemented
32#59048—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic, complemented
35C2×#938C2211yescharacteristic
36C2×#937C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#936C2211yescharacteristic, complemented
39C2×#930C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×#926C2211yescharacteristic, complemented
44C2×#926C2211yescharacteristic, complemented
45#5705—28no—
46#5557—28no—
47C2×#897C2211yescharacteristic
48C2×#896C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#892C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×#890C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic
70C2×#879C2211yescharacteristic, complemented
71C2×#879C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×C42×D3C2211yescharacteristic
75C2×C4×Dic6C2211yescharacteristic, complemented
76C3×#399C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic, complemented
79C3×#392C2211yescharacteristic
80C3×#390C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic, complemented
83C3×#387C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic
87C3×#380C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic, complemented
93#5222C2211yescharacteristic
94#5221C2211yescharacteristic
95#5221C2211yescharacteristic
96#5221C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic
101#4993C2211yescharacteristic, complemented
102#4990C2211yescharacteristic
103#4989C2211yescharacteristic
104#4987C2211yescharacteristic
105#4983C2211yescharacteristic, complemented
106#4981C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4975C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4960C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic, complemented
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4957C2211yescharacteristic, complemented
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4953C2211yescharacteristic
132#4952C2211yescharacteristic
133#4952C2211yescharacteristic, complemented
134#4951C2211yescharacteristic
135#4951C2211yescharacteristic, complemented
136#4949C2211yescharacteristic
137#4949C2211yescharacteristic
138#4949C2211yescharacteristic, complemented
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic, complemented
141#4948C2211yescharacteristic, complemented
142#4945C2211yescharacteristic
143#4945C2211yescharacteristic
144#4945C2211yescharacteristic
145#4945C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic, complemented
150#4940C2211yescharacteristic
151#4940C2211yescharacteristic, complemented
152#4939C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic
154C4×C4⋊Dic3C2211yescharacteristic, complemented
155#4933C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4677C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic
162#4670C2211yescharacteristic
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4667C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2733—31no—
193#2730—31no—
194#2721—31no—
195#2694—31no—
196#2554—31no—
197#2543—31no—
198#2539—31no—
199#2539—31no—
200#2512—31no—
201#2501—31no—
202#2479—31no—
203#2479—31no—
204#2471—31no—
205#2467—31no—
206#2467D311yescharacteristic, complemented
207#2456—31no—
208#2448—31no—
209#2425—31no—
210#2424—31no—
211#2423—31no—
212#2413—31no—
213#2412—31no—
214#2368—31no—
215#2363—31no—
216#2359—31no—
217#2358—31no—
218#2354—31no—
219C4×#123—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#126—24no—
247C3×C4×D4—24no—
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×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#938—24no—
287#937—24no—
288#937—42no—
289#936—24no—
290#930—24no—
291C4×#67—24no—
292C4×#67—24no—
293C4×#67—24no—
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
317#926—24no—
318#926—24no—
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×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#897D418yescomplemented
359#896—24no—
360#894—24no—
361#894—24no—
362#894—24no—
363#893—24no—
364#892—24no—
365D3×C4⋊C4—42no—
366#890—24no—
367#885—24no—
368#884—42no—
369#884—42no—
370#883—24no—
371#883—24no—
372#883—24no—
373#883—24no—
374#883—42no—
375#882—24no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—24no—
379D3×C22⋊C4—42no—
380#879—24no—
381#879—24no—
382#879—24no—
383C4×D12—24no—
384#872—24no—
385C42×D3—24no—
386C4×Dic6—24no—
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—
418#529—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126C2×D311yescharacteristic
423C2×#125—31no—
424C2×#124—31no—
425C2×#124—31no—
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×#120—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×C4×Q8—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4C2×D311yescharacteristic, complemented
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#399—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399C2×D311yescharacteristic, complemented
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394C2×D311yescharacteristic
485#394C2×D311yescharacteristic, complemented
486#392—31no—
487#392—31no—
488#392—31no—
489#392—31no—
490#392—31no—
491#392C2×D311yescharacteristic
492#391—31no—
493#391—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#390C2×D311yescharacteristic
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388C2×D311yescharacteristic
529#388C2×D311yescharacteristic, complemented
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#387C2×D311yescharacteristic, complemented
537#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
548#386C2×D311yescharacteristic
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#384—31no—
555#384—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380C2×D311yescharacteristic, complemented
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4C2×D311yescharacteristic, complemented
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
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—
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—41no—
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—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3C2×D414yes—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6C2×D414yes—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4C2×D414yes—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C42—22no—
704C3×C42—22no—
705C3×C42—41no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4C2×D414yes—
742(C2×D3)⋊C4C2×D414yes—
743(C2×D3)⋊C4#4114yes—
744(C2×D3)⋊C4#4114yes—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3C2×D414yes—
754C4⋊Dic3C2×D414yes—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C4×Dic3—41no—
784C25—31no—
785C22×Q8—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809#126—24no—
810#126—64no—
811#126—64no—
812#126—64no—
813#125—64no—
814#124—64no—
815#124—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—122no—
824C22⋊Q8—38no—
825C22⋊Q8—64no—
826#121—64no—
827#121—64no—
828#121—122no—
829#121—122no—
830#120—64no—
831#120—64no—
832#120—122no—
833C4×Q8—64no—
834C4×D4—24no—
835C4×D4—64no—
836C4×D4—64no—
837C4×D4—64no—
838C4×D4—64no—
839C4×D4—64no—
840#117—64no—
841#117—64no—
842#117—64no—
843#117—64no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
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—122no—
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—64no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4—122no—
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42—64no—
947C2×C42C22×D311yescharacteristic
948C2×C42C22×D311yescharacteristic
949C2×C42C22×D311yescharacteristic
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#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#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
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×C3C2511yescharacteristic
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—82no—
1024C22×D3—82no—
1025C22×D3—82no—
1026C22×D3C22×D412yes—
1027C22×D3C2×#4112yes—
1028C22×D3C2×#4112yes—
1029C22×D3H(5,𝔽2)12yes—
1030C3×D4—44no—
1031C3×D4—82no—
1032C3×D4—82no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—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—44no—
1065C2×C3×C4—44no—
1066C2×C3×C4C22×D412yes—
1067C2×C3×C4C22×D412yes—
1068C2×C3×C4C22×D412yes—
1069C2×C3×C4C2×#4112yes—
1070C2×C3×C4C2×#4112yes—
1071#67—44no—
1072#67—44no—
1073#67—44no—
1074#67—82no—
1075#67—82no—
1076#67—82no—
1077#67—82no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—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×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C2×#4112yes—
1116C2×Dic3C2×#4112yes—
1117D12—44no—
1118D12—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—82no—
1126C4×D3—82no—
1127C4×D3—82no—
1128Dic6—44no—
1129C24—31no—
1130C24—31no—
1131C24—31no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—121no—
1137C24—121no—
1138C24—121no—
1139C24C23×D311yescharacteristic
1140C24C23×D311yescharacteristic
1141C24C23×D311yescharacteristic
1142C2×Q8—34no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—34no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—34no—
1243C4⋊C4—34no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4D3×D414yes—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—34no—
1280C22⋊C4—34no—
1281C22⋊C4—34no—
1282C22⋊C4—34no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C42—22no—
1325C42—22no—
1326C42—41no—
1327C42—62no—
1328C42—62no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—121no—
1336C42—121no—
1337C42—121no—
1338C42—121no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3C23×D411yescharacteristic
1361C22×C3C22×#4111yescharacteristic
1362C22×C3C22×#4111yescharacteristic
1363C22×C3C2×H(5,𝔽2)11yescharacteristic
1364C22×C3#58511yescharacteristic
1365C22×C3#58511yescharacteristic
1366C22×C3#58511yescharacteristic
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—88no—
1388C2×D3#55014yes—
1389C3×C4—22no—
1390C3×C4—22no—
1391C3×C4—22no—
1392C3×C4—22no—
1393C3×C4—22no—
1394C3×C4—41no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401Dic3—22no—
1402Dic3—22no—
1403Dic3—22no—
1404Dic3—22no—
1405Dic3—22no—
1406Dic3—41no—
1407Dic3—41no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—32no—
1436C23—32no—
1437C23—32no—
1438C23—32no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—124no—
1457C23—124no—
1458C23—124no—
1459C23—124no—
1460C23—242no—
1461C23—242no—
1462C23—242no—
1463C23C24×D311yescharacteristic
1464Q8—124no—
1465D4—44no—
1466D4—82no—
1467D4—82no—
1468D4—124no—
1469D4—124no—
1470D4—124no—
1471D4—124no—
1472D4—124no—
1473D4—242no—
1474D4—242no—
1475D4—242no—
1476D4—242no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—32no—
1509C2×C4—32no—
1510C2×C4—32no—
1511C2×C4—32no—
1512C2×C4—32no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—124no—
1550C2×C4—124no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—242no—
1556C2×C4—242no—
1557C2×C4—242no—
1558C2×C4C2×D3×D412yes—
1559C2×C4C2×D3×D412yes—
1560C2×C4C2×D3×D412yes—
1561C2×C4D3×#4112yes—
1562C2×C4D3×#4112yes—
1563C2×C3—81no—
1564C2×C3—81no—
1565C2×C3—81no—
1566C2×C3C2×#55011yescharacteristic
1567C2×C3D4×#4111yescharacteristic
1568C2×C3#347511yescharacteristic
1569C2×C3#348511yescharacteristic
1570C2×C3#351311yescharacteristic
1571C2×C3#352111yescharacteristic
1572C2×C3#354511yescharacteristic
1573D3—24no—
1574D3—42no—
1575D3—81no—
1576C22—34no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—62no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—62no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—62no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—248no—
1619C22C22×D3×D411yescharacteristic
1620C22C2×D3×#4111yescharacteristic
1621C22C2×D3×#4111yescharacteristic
1622C22#596411yescharacteristic
1623C22#596411yescharacteristic
1624C22D3×H(5,𝔽2)11yescharacteristic
1625C22#596611yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—62no—
1639C4—62no—
1640C4—62no—
1641C4—62no—
1642C4—62no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C3#5904811yescharacteristic, complemented, Sylow
1652C2—64no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—122no—
1657C2—241no—
1658C2#8604011yescharacteristic
1659C2#8615111yescharacteristic
1660C2#8642311yescharacteristic
1661C2#8662611yescharacteristic
1662C2D3×#55011yescharacteristic
1663C2#8679911yescharacteristic
1664C2#8688311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2467C2
hypercenter#2467D3
hypocenterC3#59048
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5557C2semidirect
3. C3×#2467C2semidirect
4. #83098C2semidirect
5. #82411C2semidirect
6. #78030C2semidirect
7. #78027C2semidirect
8. #77120C2semidirect
9. #77110C2semidirect
10. #77044C2semidirect
11. #76948C2semidirect
12. #76758C2semidirect
13. #76732C2semidirect
14. #76454C2semidirect
15. #76339C2semidirect
16. #75843C2semidirect
17. D3×#388C2semidirect
18. #75517C2semidirect
19. #75502C2semidirect
20. #75311C2semidirect
21. #75151C2semidirect
22. #74982C2semidirect
23. #74940C2semidirect
24. #74894C2semidirect
25. #74880C2semidirect
26. #74734C2semidirect
27. #74726C2semidirect
28. #74022C2semidirect
29. #73885C2semidirect
30. #73578C2semidirect
31. #73469C2semidirect
34. C2×C3×C4×D4C22semidirect
38. C2×#936C22semidirect
43. C2×#926C22semidirect
44. C2×#926C22semidirect
55. C2×#890C22semidirect
70. C2×#879C22semidirect
71. C2×#879C22semidirect
75. C2×C4×Dic6C22semidirect
76. C3×#399C22semidirect
78. C3×#394C22semidirect
82. C3×#388C22semidirect
83. C3×#387C22semidirect
84. C3×#387C22semidirect
87. C3×#380C22semidirect
88. C3×C4×C22⋊C4C22semidirect
92. #5223C22semidirect
97. #5213C22semidirect
98. #5210C22semidirect
99. #4994C22semidirect
101. #4993C22semidirect
105. #4983C22semidirect
106. #4981C22semidirect
107. #4980C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
110. #4975C22semidirect
111. #4975C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. Dic3×C4⋊C4C22semidirect
116. #4959C22semidirect
122. #4957C22semidirect
123. #4957C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
133. #4952C22semidirect
135. #4951C22semidirect
138. #4949C22semidirect
140. #4948C22semidirect
141. #4948C22semidirect
145. #4945C22semidirect
146. #4945C22semidirect
147. #4945C22semidirect
149. #4944C22semidirect
151. #4940C22semidirect
154. C4×C4⋊Dic3C22semidirect
155. #4933C22semidirect
156. #4928C22semidirect
157. #4928C22semidirect
159. #4677C22semidirect
160. #4674C22semidirect
163. #4670C22semidirect
166. #4669C22semidirect
174. #4666C22semidirect
175. #4666C22semidirect
180. #4661C22semidirect
181. #4657C22semidirect
182. #4654C22semidirect
183. #4654C22semidirect
184. #4653C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
206. #2467D3semidirect
358. #897D4semidirect
449. C2×C4×D4C2×D3semidirect
467. #399C2×D3semidirect
485. #394C2×D3semidirect
529. #388C2×D3semidirect
536. #387C2×D3semidirect
537. #387C2×D3semidirect
559. #380C2×D3semidirect
571. C4×C22⋊C4C2×D3semidirect
1651. C3#59048semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#55572
C3×#24672
#830982
#824112
#780302
#780272
#771202
#771102
#770442
#769482
#767582
#767322
#764542
#763392
#758432
D3×#3882
#755172
#755022
#753112
#751512
#749822
#749402
#748942
#748802
#747342
#747262
#740222
#738852
#735782
#734692
#590483