Finite Group Databasebeta

← #10958918

Subgroups — #10958918

Order 768.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic
2C3×#2326C211yesmaximal, characteristic, complemented
3#82954C211yesmaximal, characteristic, complemented
4C4×#946C211yesmaximal, characteristic, complemented
5#82455C211yesmaximal, characteristic, complemented
6#82398C211yesmaximal, characteristic, complemented
7#82340C211yesmaximal, characteristic, complemented
8#76612C211yesmaximal, characteristic, complemented
9#76488C211yesmaximal, characteristic, complemented
10#76432C211yesmaximal, characteristic, complemented
11#76310C211yesmaximal, characteristic, complemented
12#75836C211yesmaximal, characteristic, complemented
13#75835C211yesmaximal, characteristic, complemented
14D3×#388C211yesmaximal, characteristic, complemented
15#75485C211yesmaximal, characteristic, complemented
16#75477C211yesmaximal, characteristic, complemented
17#75470C211yesmaximal, characteristic, complemented
18#75469C211yesmaximal, characteristic, complemented
19#75452C211yesmaximal, characteristic, complemented
20#74596C211yesmaximal, characteristic, complemented
21#74594C211yesmaximal, characteristic, complemented
22#74593C211yesmaximal, characteristic, complemented
23#74591C211yesmaximal, characteristic, complemented
24#74403C211yesmaximal, characteristic, complemented
25#74401C211yesmaximal, characteristic, complemented
26#74393C211yesmaximal, characteristic, complemented
27#74384C211yesmaximal, characteristic, complemented
28#74361C211yesmaximal, characteristic, complemented
29#74360C211yesmaximal, characteristic, complemented
30#73417C211yesmaximal, characteristic, complemented
31#73396C211yesmaximal, characteristic, complemented
32#34426—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×C4×Q8C2211yescharacteristic, complemented
35C2×C3×C4×D4C2211yescharacteristic
36C2×#947C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×Dic3⋊C4C2211yescharacteristic, complemented
44#5678C4116yescomplemented
45C2×#893C2211yescharacteristic
46C2×#893C2211yescharacteristic
47C2×D3×C4⋊C4C2211yescharacteristic
48C2×D3×C4⋊C4C2211yescharacteristic, complemented
49C2×#886C2211yescharacteristic
50C2×#884C2211yescharacteristic
51C2×#884C2211yescharacteristic
52C2×#883C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#67⋊C4C2211yescharacteristic
55C2×#67⋊C4C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic, complemented
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×#879C2211yescharacteristic
63C2×#876C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C2×C4×D12C2211yescharacteristic
66C2×C42×D3C2211yescharacteristic
67C3×#391C2211yescharacteristic, complemented
68C3×#390C2211yescharacteristic
69C3×#388C2211yescharacteristic
70C3×#388C2211yescharacteristic
71C3×#388C2211yescharacteristic, complemented
72C3×#388C2211yescharacteristic, complemented
73C3×#385C2211yescharacteristic
74C3×#385C2211yescharacteristic
75C3×#385C2211yescharacteristic, complemented
76C3×#385C2211yescharacteristic, complemented
77C3×#384C2211yescharacteristic, complemented
78C3×#376C2211yescharacteristic, complemented
79#5229C2211yescharacteristic, complemented
80#5229C2211yescharacteristic, complemented
81#5220C2211yescharacteristic
82#5220C2211yescharacteristic
83#5213C2211yescharacteristic
84#5213C2211yescharacteristic, complemented
85#5210C2211yescharacteristic
86#5210C2211yescharacteristic
87#4990C2211yescharacteristic
88#4990C2211yescharacteristic
89#4990C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4989C2211yescharacteristic, complemented
100#4988C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic, complemented
104#4978C2211yescharacteristic, complemented
105#4978C2211yescharacteristic, complemented
106#4978C2211yescharacteristic, complemented
107#4978C2211yescharacteristic, complemented
108#4976C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112#4972C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4958C2211yescharacteristic
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic, complemented
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic, complemented
124#4951C2211yescharacteristic
125#4951C2211yescharacteristic
126#4951C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4950C2211yescharacteristic
129#4950C2211yescharacteristic, complemented
130#4946C2211yescharacteristic
131#4945C2211yescharacteristic
132#4944C2211yescharacteristic
133#4944C2211yescharacteristic
134#4944C2211yescharacteristic
135#4943C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137Dic3×C22⋊C4C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic, complemented
140Dic3×C22⋊C4C2211yescharacteristic, complemented
141#4940C2211yescharacteristic
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149C4×(C2×D3)⋊C4C2211yescharacteristic
150#4937C2211yescharacteristic, complemented
151C4×C4⋊Dic3C2211yescharacteristic, complemented
152C4×C4⋊Dic3C2211yescharacteristic, complemented
153#4933C2211yescharacteristic, complemented
154#4932C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156C4×Dic3⋊C4C2211yescharacteristic, complemented
157#4670C2211yescharacteristic
158#4670C2211yescharacteristic, complemented
159#4669C2211yescharacteristic
160#4669C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4664C2211yescharacteristic, complemented
175D3×#95C2211yescharacteristic
176D3×#95C2211yescharacteristic
177#4655C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4651C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189C2×#538—31no—
190#2383—31no—
191#2383—31no—
192#2377—31no—
193#2377—31no—
194#2373—31no—
195#2373—31no—
196#2361—31no—
197#2361—31no—
198#2358—31no—
199#2358—31no—
200#2358—31no—
201#2358—31no—
202#2353—31no—
203#2353—31no—
204D4×C4⋊C4—31no—
205D4×C4⋊C4—31no—
206#2337—31no—
207#2337—31no—
208#2335—31no—
209#2335—31no—
210#2329—31no—
211#2326—31no—
212#2326D311yescharacteristic, complemented
213#2325—31no—
214#2322—31no—
215#2322—31no—
216#2315—31no—
217C4×C22⋊Q8—31no—
218C4×#121—31no—
219C2×#388—31no—
220C24×D3C2311yescharacteristic
221C22×C3×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
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
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C3×#124C2×C418yescomplemented
246C3×C4×Q8—42no—
247C3×C4×D4—42no—
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×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×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279#947C2×C418yescomplemented
280#946C2×C418yescomplemented
281#939C2×C418yescomplemented
282#937C2×C418yescomplemented
283C4×#67—42no—
284C4×#67—42no—
285C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×Dic3⋊C4—42no—
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346#893—42no—
347#893—42no—
348D3×C4⋊C4—42no—
349D3×C4⋊C4—42no—
350#886C2×C418yescomplemented
351#884C2×C418yescomplemented
352#884C2×C418yescomplemented
353#883C2×C418yescomplemented
354#882C2×C418yescomplemented
355#67⋊C4—42no—
356#67⋊C4—42no—
357#67⋊C4—42no—
358#67⋊C4C2×C418yescomplemented
359D3×C22⋊C4—42no—
360D3×C22⋊C4—42no—
361D3×C22⋊C4—42no—
362D3×C22⋊C4C2×C418yescomplemented
363#879C2×C418yescomplemented
364#876C2×C418yescomplemented
365C4×D12—42no—
366C4×D12C2×C418yescomplemented
367C42×D3—42no—
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
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
408#538—316no—
409C2×#126—31no—
410C2×#126—31no—
411C2×#124—31no—
412C2×#124C2×D311yescharacteristic
413C2×#123—31no—
414C2×#123—31no—
415C2×C22⋊Q8—31no—
416C2×#121—31no—
417C2×#121—31no—
418C2×#121—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×Q8C2×D311yescharacteristic, complemented
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×C4×D4—31no—
428C2×C4×D4—31no—
429C2×C4×D4—31no—
430C2×C4×D4—31no—
431C2×C4×D4—31no—
432C2×C4×D4C2×D311yescharacteristic
433C22×C4⋊C4—31no—
434C22×C4⋊C4—31no—
435C22×C4⋊C4—31no—
436C22×C22⋊C4—31no—
437C22×C22⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4—31no—
440C22×C22⋊C4—31no—
441C22×C42—31no—
442#391—31no—
443#391—31no—
444#391C2×D311yescharacteristic, complemented
445#390—31no—
446#390—31no—
447#390—31no—
448#390—31no—
449#390C2×D311yescharacteristic
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389—31no—
455#389—31no—
456#389—31no—
457#389—31no—
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388C2×D311yescharacteristic
479#388C2×D311yescharacteristic
480#388C2×D311yescharacteristic, complemented
481#388C2×D311yescharacteristic, complemented
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#385—31no—
509#385—31no—
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385C2×D311yescharacteristic
527#385C2×D311yescharacteristic
528#385C2×D311yescharacteristic, complemented
529#385C2×D311yescharacteristic, complemented
530#384—31no—
531#384C2×D311yescharacteristic, complemented
532#383—31no—
533#383—31no—
534#381—31no—
535#381—31no—
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4—31no—
560#376—31no—
561#376C2×D311yescharacteristic, complemented
562C2×#95—31no—
563C2×#95—31no—
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3C22×C414yes—
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×Q8—41no—
577C2×C3×Q8—41no—
578C2×C3×Q8C22×C414yes—
579C2×C3×D4—41no—
580C2×C3×D4—41no—
581C2×C3×D4C22×C414yes—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67C22×C414yes—
610C2×#67C22×C414yes—
611C2×#67C22×C414yes—
612C2×#67C22×C414yes—
613C22×Dic3—22no—
614C22×Dic3—41no—
615C22×Dic3—41no—
616C22×Dic3—41no—
617C22×Dic3—41no—
618C22×Dic3—41no—
619C22×Dic3—41no—
620C22×Dic3—41no—
621C22×Dic3C22×C414yes—
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12C22×C414yes—
640C2×D12C22×C414yes—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—41no—
649C2×C4×D3—41no—
650C2×C4×D3—41no—
651C2×C4×D3—41no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
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×D3C22×C414yes—
672C2×C4×D3C22×C414yes—
673C2×C4×D3C22×C414yes—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4C22×C414yes—
689C3×C22⋊C4C22×C414yes—
690C3×C22⋊C4C22×C414yes—
691C3×C22⋊C4C22×C414yes—
692C3×C42—22no—
693C3×C42—22no—
694C3×C42—22no—
695C3×C42—41no—
696C3×C42C22×C414yes—
697#217—22no—
698#217—41no—
699#217—41no—
700#217—41no—
701#217—41no—
702#217—41no—
703#217C22×C414yes—
704#217C22×C414yes—
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—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4C22×C414yes—
722(C2×D3)⋊C4C22×C414yes—
723(C2×D3)⋊C4C22×C414yes—
724(C2×D3)⋊C4C22×C414yes—
725(C2×D3)⋊C4C22×C414yes—
726(C2×D3)⋊C4C22×C414yes—
727(C2×D3)⋊C4C22×C414yes—
728(C2×D3)⋊C4C22×C414yes—
729C4⋊Dic3—22no—
730C4⋊Dic3—41no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3C22×C414yes—
734C4⋊Dic3C22×C414yes—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4C22×C414yes—
748Dic3⋊C4C22×C414yes—
749Dic3⋊C4C22×C414yes—
750Dic3⋊C4C22×C414yes—
751C4×Dic3—22no—
752C4×Dic3—41no—
753C4×Dic3—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C4×Dic3—41no—
761C4×Dic3—41no—
762C4×Dic3—41no—
763C4×Dic3C22×C414yes—
764C25—31no—
765C22×Q8C22×D311yescharacteristic
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4C22×D311yescharacteristic
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4C22×D311yescharacteristic
788C23×C4C22×D311yescharacteristic
789#126—38no—
790#126—38no—
791#124—38no—
792#124C4×D318yescomplemented
793#123—38no—
794#123—38no—
795C22⋊Q8—38no—
796#121—38no—
797#121—38no—
798#121—38no—
799#120—38no—
800#120—38no—
801C4×Q8—42no—
802C4×D4—38no—
803C4×D4—38no—
804C4×D4—42no—
805C4×D4—122no—
806C4×D4—122no—
807C4×D4—122no—
808C4×D4—122no—
809C4×D4—122no—
810C4×D4—122no—
811C4×D4—122no—
812C4×D4—122no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—122no—
836C2×C4⋊C4—122no—
837C2×C4⋊C4—122no—
838C2×C4⋊C4C22×D311yescharacteristic
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C4⋊C4C22×D311yescharacteristic
841C2×C4⋊C4C22×D311yescharacteristic
842C2×C4⋊C4C22×D311yescharacteristic
843C2×C4⋊C4C22×D311yescharacteristic
844C2×C4⋊C4C22×D311yescharacteristic
845C2×C4⋊C4C22×D311yescharacteristic
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—38no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
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—122no—
880C2×C22⋊C4—122no—
881C2×C22⋊C4—122no—
882C2×C22⋊C4—122no—
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42—31no—
901C2×C42—31no—
902C2×C42—31no—
903C2×C42—31no—
904C2×C42—31no—
905C2×C42—31no—
906C2×C42—122no—
907C2×C42C22×D311yescharacteristic
908C2×C42C22×D311yescharacteristic
909C2×C42C22×D311yescharacteristic
910C2×C42C22×D311yescharacteristic
911C2×C42C22×D311yescharacteristic
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
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#95C22×D311yescharacteristic
945#95C22×D311yescharacteristic
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3C23×C412yes—
965C23×C3C23×C412yes—
966C23×C3C2511yescharacteristic
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—28no—
984C22×D3—44no—
985C22×D3—44no—
986C22×D3—82no—
987C22×D3—82no—
988C22×D3—82no—
989C22×D3—82no—
990C22×D3C23×C412yes—
991C22×D3C23×C412yes—
992C22×D3C23×C412yes—
993C22×D3H(5,𝔽2)12yes—
994C22×D32−1+412yes—
995C3×Q8—44no—
996C3×D4—44no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
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—82no—
1031C2×C3×C4—82no—
1032C2×C3×C4C23×C412yes—
1033C2×C3×C4C23×C412yes—
1034C2×C3×C4C23×C412yes—
1035C2×C3×C4C23×C412yes—
1036C2×C3×C4C23×C412yes—
1037C2×C3×C4H(5,𝔽2)12yes—
1038#67—28no—
1039#67—44no—
1040#67—44no—
1041#67—44no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
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—44no—
1076C2×Dic3—82no—
1077C2×Dic3—82no—
1078C2×Dic3C23×C412yes—
1079C2×Dic3C23×C412yes—
1080C2×Dic3C23×C412yes—
1081C2×Dic3C23×C412yes—
1082C2×Dic3C23×C412yes—
1083C2×Dic3H(5,𝔽2)12yes—
1084D12—28no—
1085D12—44no—
1086C4×D3—44no—
1087C4×D3—44no—
1088C4×D3—44no—
1089C4×D3—44no—
1090C4×D3—44no—
1091C4×D3—82no—
1092C4×D3—82no—
1093C4×D3—82no—
1094C4×D3—82no—
1095C4×D3—82no—
1096C4×D3—82no—
1097C24—31no—
1098C24—31no—
1099C24—31no—
1100C24—34no—
1101C24—62no—
1102C24—62no—
1103C24—121no—
1104C24—121no—
1105C24—121no—
1106C24—121no—
1107C24C23×D311yescharacteristic
1108C24C23×D311yescharacteristic
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C2×Q8C2×C4×D314yes—
1112C2×D4—34no—
1113C2×D4—34no—
1114C2×D4—34no—
1115C2×D4—34no—
1116C2×D4—34no—
1117C2×D4—34no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—62no—
1121C2×D4—62no—
1122C2×D4—62no—
1123C2×D4—62no—
1124C2×D4—121no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4C2×C4×D314yes—
1133C22×C4—31no—
1134C22×C4—31no—
1135C22×C4—31no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—34no—
1140C22×C4—34no—
1141C22×C4—34no—
1142C22×C4—34no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—62no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
1164C22×C4—121no—
1165C22×C4—121no—
1166C22×C4—121no—
1167C22×C4—121no—
1168C22×C4—121no—
1169C22×C4—121no—
1170C22×C4—121no—
1171C22×C4—121no—
1172C22×C4—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4—121no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
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×C4C23×D311yescharacteristic
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C4⋊C4—34no—
1208C4⋊C4—34no—
1209C4⋊C4—34no—
1210C4⋊C4—34no—
1211C4⋊C4—34no—
1212C4⋊C4—34no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—62no—
1222C4⋊C4—62no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—34no—
1240C22⋊C4—34no—
1241C22⋊C4—34no—
1242C22⋊C4—34no—
1243C22⋊C4—34no—
1244C22⋊C4—34no—
1245C22⋊C4—34no—
1246C22⋊C4—34no—
1247C22⋊C4—34no—
1248C22⋊C4—34no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
1255C22⋊C4—62no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4C2×C4×D314yes—
1276C22⋊C4C2×C4×D314yes—
1277C22⋊C4C2×C4×D314yes—
1278C22⋊C4C2×C4×D314yes—
1279C42—22no—
1280C42—22no—
1281C42—22no—
1282C42—34no—
1283C42—41no—
1284C42—62no—
1285C42—121no—
1286C42—121no—
1287C42—121no—
1288C42—121no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42C2×C4×D314yes—
1297C22×C3—22no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—41no—
1304C22×C3—41no—
1305C22×C3—41no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3C24×C411yescharacteristic
1312C22×C3C2×H(5,𝔽2)11yescharacteristic
1313C22×C3C2×H(5,𝔽2)11yescharacteristic
1314C22×C3C2×H(5,𝔽2)11yescharacteristic
1315C22×C3C2×2−1+411yescharacteristic
1316C22×C3#58511yescharacteristic
1317C22×C3#58511yescharacteristic
1318C2×D3—22no—
1319C2×D3—22no—
1320C2×D3—22no—
1321C2×D3—22no—
1322C2×D3—22no—
1323C2×D3—22no—
1324C2×D3—22no—
1325C2×D3—22no—
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—41no—
1331C2×D3—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—88no—
1339C2×D3#52014yes—
1340C3×C4—22no—
1341C3×C4—22no—
1342C3×C4—22no—
1343C3×C4—22no—
1344C3×C4—22no—
1345C3×C4—22no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353Dic3—22no—
1354Dic3—22no—
1355Dic3—22no—
1356Dic3—22no—
1357Dic3—22no—
1358Dic3—22no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—32no—
1379C23—32no—
1380C23—32no—
1381C23—32no—
1382C23—32no—
1383C23—68no—
1384C23—61no—
1385C23—61no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—124no—
1401C23—124no—
1402C23—242no—
1403C23—242no—
1404C23—242no—
1405C23—242no—
1406C23C22×C4×D312yes—
1407C23C22×C4×D312yes—
1408C23C24×D311yescharacteristic
1409Q8—44no—
1410D4—44no—
1411D4—68no—
1412D4—68no—
1413D4—124no—
1414D4—124no—
1415D4—124no—
1416D4—124no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
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—32no—
1451C2×C4—32no—
1452C2×C4—32no—
1453C2×C4—32no—
1454C2×C4—32no—
1455C2×C4—32no—
1456C2×C4—61no—
1457C2×C4—61no—
1458C2×C4—61no—
1459C2×C4—61no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
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—82no—
1490C2×C4—82no—
1491C2×C4—124no—
1492C2×C4—124no—
1493C2×C4—124no—
1494C2×C4—124no—
1495C2×C4—124no—
1496C2×C4—124no—
1497C2×C4—242no—
1498C2×C4—242no—
1499C2×C4—242no—
1500C2×C4—242no—
1501C2×C4—242no—
1502C2×C4—242no—
1503C2×C4—242no—
1504C2×C4—242no—
1505C2×C4C22×C4×D312yes—
1506C2×C4C22×C4×D312yes—
1507C2×C4C22×C4×D312yes—
1508C2×C4C22×C4×D312yes—
1509C2×C4C22×C4×D312yes—
1510C2×C4#100412yes—
1511C2×C3—42no—
1512C2×C3—42no—
1513C2×C3C2×#52011yescharacteristic
1514C2×C3C4×H(5,𝔽2)11yescharacteristic
1515C2×C3C4×H(5,𝔽2)11yescharacteristic
1516C2×C3#353511yescharacteristic
1517C2×C3#353711yescharacteristic
1518C2×C3#356011yescharacteristic
1519C2×C3#356111yescharacteristic
1520D3—24no—
1521D3—42no—
1522D3—42no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—34no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—62no—
1539C22—62no—
1540C22—62no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—248no—
1559C22C23×C4×D311yescharacteristic
1560C22C2×#100411yescharacteristic
1561C22#596411yescharacteristic
1562C22D3×H(5,𝔽2)11yescharacteristic
1563C22D3×H(5,𝔽2)11yescharacteristic
1564C22D3×2−1+411yescharacteristic
1565C22#596811yescharacteristic
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—62no—
1580C4—62no—
1581C4—62no—
1582C4—62no—
1583C4—62no—
1584C4—62no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C3#3442611yescharacteristic, complemented, Sylow
1593C2—42no—
1594C2—42no—
1595C2—64no—
1596C2—122no—
1597C2—122no—
1598C2C4×#100411yescharacteristic
1599C2#8588611yescharacteristic
1600C2D3×#52011yescharacteristic
1601C2#8633411yescharacteristic
1602C2#8635811yescharacteristic
1603C2#8654011yescharacteristic
1604C2#8656811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2326C2
socle, cosocleC23×C3C25
prime radicalC2×#5678C2
hypercenter#2326D3
hypocenterC3#34426
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2326

Complements

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

NH ≅ G/Ntype
2. C3×#2326C2semidirect
3. #82954C2semidirect
4. C4×#946C2semidirect
5. #82455C2semidirect
6. #82398C2semidirect
7. #82340C2semidirect
8. #76612C2semidirect
9. #76488C2semidirect
10. #76432C2semidirect
11. #76310C2semidirect
12. #75836C2semidirect
13. #75835C2semidirect
14. D3×#388C2semidirect
15. #75485C2semidirect
16. #75477C2semidirect
17. #75470C2semidirect
18. #75469C2semidirect
19. #75452C2semidirect
20. #74596C2semidirect
21. #74594C2semidirect
22. #74593C2semidirect
23. #74591C2semidirect
24. #74403C2semidirect
25. #74401C2semidirect
26. #74393C2semidirect
27. #74384C2semidirect
28. #74361C2semidirect
29. #74360C2semidirect
30. #73417C2semidirect
31. #73396C2semidirect
34. C2×C3×C4×Q8C22semidirect
43. C22×Dic3⋊C4C22semidirect
44. #5678C4semidirect
48. C2×D3×C4⋊C4C22semidirect
57. C2×#67⋊C4C22semidirect
67. C3×#391C22semidirect
71. C3×#388C22semidirect
72. C3×#388C22semidirect
75. C3×#385C22semidirect
76. C3×#385C22semidirect
77. C3×#384C22semidirect
78. C3×#376C22semidirect
79. #5229C22semidirect
80. #5229C22semidirect
84. #5213C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
99. #4989C22semidirect
103. #4987C22semidirect
104. #4978C22semidirect
105. #4978C22semidirect
106. #4978C22semidirect
107. #4978C22semidirect
108. #4976C22semidirect
109. #4976C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
112. #4972C22semidirect
113. #4972C22semidirect
114. #4972C22semidirect
118. #4957C22semidirect
123. #4956C22semidirect
126. #4951C22semidirect
127. #4951C22semidirect
129. #4950C22semidirect
135. #4943C22semidirect
136. #4942C22semidirect
139. Dic3×C22⋊C4C22semidirect
140. Dic3×C22⋊C4C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
145. #4940C22semidirect
150. #4937C22semidirect
151. C4×C4⋊Dic3C22semidirect
152. C4×C4⋊Dic3C22semidirect
153. #4933C22semidirect
154. #4932C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. C4×Dic3⋊C4C22semidirect
158. #4670C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
174. #4664C22semidirect
177. #4655C22semidirect
178. #4654C22semidirect
179. #4654C22semidirect
180. #4654C22semidirect
181. #4653C22semidirect
182. #4652C22semidirect
183. #4652C22semidirect
184. #4651C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
212. #2326D3semidirect
245. C3×#124C2×C4semidirect
279. #947C2×C4semidirect
280. #946C2×C4semidirect
281. #939C2×C4semidirect
282. #937C2×C4semidirect
350. #886C2×C4semidirect
351. #884C2×C4semidirect
352. #884C2×C4semidirect
353. #883C2×C4semidirect
354. #882C2×C4semidirect
358. #67⋊C4C2×C4semidirect
362. D3×C22⋊C4C2×C4semidirect
363. #879C2×C4semidirect
364. #876C2×C4semidirect
366. C4×D12C2×C4semidirect
421. C2×C4×Q8C2×D3semidirect
444. #391C2×D3semidirect
480. #388C2×D3semidirect
481. #388C2×D3semidirect
528. #385C2×D3semidirect
529. #385C2×D3semidirect
531. #384C2×D3semidirect
561. #376C2×D3semidirect
792. #124C4×D3semidirect
1592. C3#34426semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C3×#23262
#829542
C4×#9462
#824552
#823982
#823402
#766122
#764882
#764322
#763102
#758362
#758352
D3×#3882
#754852
#754772
#754702
#754692
#754522
#745962
#745942
#745932
#745912
#744032
#744012
#743932
#743842
#743612
#743602
#734172
#733962
#344263