Finite Group Databasebeta

← #10958724

Subgroups — #10958724

Order 768.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 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
4#82490C211yesmaximal, characteristic, complemented
5#82466C211yesmaximal, characteristic, complemented
6C4×#937C211yesmaximal, characteristic, complemented
7#82327C211yesmaximal, characteristic, complemented
8#76616C211yesmaximal, characteristic, complemented
9#76496C211yesmaximal, characteristic, complemented
10#76429C211yesmaximal, characteristic, complemented
11#76296C211yesmaximal, characteristic, complemented
12#75839C211yesmaximal, characteristic, complemented
13#75834C211yesmaximal, characteristic, complemented
14#75828C211yesmaximal, characteristic, complemented
15#75826C211yesmaximal, characteristic, complemented
16#75825C211yesmaximal, characteristic, complemented
17#75490C211yesmaximal, characteristic, complemented
18#75489C211yesmaximal, characteristic, complemented
19#75465C211yesmaximal, characteristic, complemented
20D3×#385C211yesmaximal, characteristic, complemented
21#74397C211yesmaximal, characteristic, complemented
22#74397C211yesmaximal, characteristic, complemented
23#74395C211yesmaximal, characteristic, complemented
24#74394C211yesmaximal, characteristic, complemented
25#74390C211yesmaximal, characteristic, complemented
26#74388C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic, complemented
28#74361C211yesmaximal, characteristic, complemented
29#74360C211yesmaximal, characteristic, complemented
30#73417C211yesmaximal, characteristic, complemented
31#73396C211yesmaximal, characteristic, complemented
32#34416—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×#124C2211yescharacteristic
35C2×C3×C4×Q8C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic, complemented
44#5678C4116yescomplemented
45C2×#893C2211yescharacteristic
46C2×#893C2211yescharacteristic
47C2×#893C2211yescharacteristic
48C2×D3×C4⋊C4C2211yescharacteristic
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic, complemented
51C2×#886C2211yescharacteristic
52C2×#884C2211yescharacteristic
53C2×#884C2211yescharacteristic
54C2×#883C2211yescharacteristic
55C2×#882C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×#879C2211yescharacteristic
62C2×#877C2211yescharacteristic, complemented
63C2×#876C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C3×#391C2211yescharacteristic, complemented
66C3×#390C2211yescharacteristic
67C3×#388C2211yescharacteristic
68C3×#388C2211yescharacteristic
69C3×#388C2211yescharacteristic, complemented
70C3×#388C2211yescharacteristic, complemented
71C3×#385C2211yescharacteristic
72C3×#385C2211yescharacteristic
73C3×#385C2211yescharacteristic, complemented
74C3×#385C2211yescharacteristic, complemented
75C3×#384C2211yescharacteristic, complemented
76C3×#376C2211yescharacteristic, complemented
77#5229C2211yescharacteristic, complemented
78#5229C2211yescharacteristic, complemented
79#5220C2211yescharacteristic
80#5220C2211yescharacteristic
81#5213C2211yescharacteristic
82#5210C2211yescharacteristic
83C4×#217C2211yescharacteristic
84C2×C3⋊#95C2211yescharacteristic, complemented
85#4990C2211yescharacteristic
86#4990C2211yescharacteristic
87#4990C2211yescharacteristic
88#4990C2211yescharacteristic, complemented
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4987C2211yescharacteristic
99#4987C2211yescharacteristic, complemented
100#4978C2211yescharacteristic, complemented
101#4978C2211yescharacteristic, complemented
102#4978C2211yescharacteristic, complemented
103#4976C2211yescharacteristic, complemented
104#4976C2211yescharacteristic, complemented
105#4976C2211yescharacteristic, complemented
106#4976C2211yescharacteristic, complemented
107Dic3×C4⋊C4C2211yescharacteristic, complemented
108Dic3×C4⋊C4C2211yescharacteristic, complemented
109#4972C2211yescharacteristic, complemented
110#4972C2211yescharacteristic, complemented
111#4958C2211yescharacteristic
112#4958C2211yescharacteristic, complemented
113#4957C2211yescharacteristic
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic, complemented
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic, complemented
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4951C2211yescharacteristic
124#4951C2211yescharacteristic
125#4951C2211yescharacteristic, complemented
126#4951C2211yescharacteristic, complemented
127#4950C2211yescharacteristic
128#4950C2211yescharacteristic, complemented
129#4946C2211yescharacteristic
130#4946C2211yescharacteristic
131#4945C2211yescharacteristic
132#4945C2211yescharacteristic
133#4945C2211yescharacteristic
134#4944C2211yescharacteristic
135#4942C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137Dic3×C22⋊C4C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic, complemented
139#4940C2211yescharacteristic
140#4940C2211yescharacteristic
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4939C2211yescharacteristic
144C4×(C2×D3)⋊C4C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic
146C4×(C2×D3)⋊C4C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4937C2211yescharacteristic, complemented
151C4×C4⋊Dic3C2211yescharacteristic, complemented
152#4933C2211yescharacteristic, complemented
153#4933C2211yescharacteristic, complemented
154C4×Dic3⋊C4C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4670C2211yescharacteristic
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic
160#4669C2211yescharacteristic, complemented
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4664C2211yescharacteristic, complemented
175D3×#95C2211yescharacteristic
176D3×#95C2211yescharacteristic
177#4655C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189C2×#538—31no—
190#2383—31no—
191#2379—31no—
192#2377—31no—
193#2376—31no—
194#2373—31no—
195#2368—31no—
196#2367—31no—
197#2364—31no—
198#2361—31no—
199#2361—31no—
200#2360—31no—
201#2359—31no—
202#2353—31no—
203#2352—31no—
204#2349—31no—
205D4×C4⋊C4—31no—
206#2337—31no—
207#2335—31no—
208#2334—31no—
209#2334—31no—
210#2326D311yescharacteristic, complemented
211#2325—31no—
212#2324—31no—
213#2322—31no—
214#2321—31no—
215#2321—31no—
216#2312—31no—
217C4×#120—31no—
218C4×#120—31no—
219C2×#385—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×D3—42no—
235C22×C4×D3—42no—
236C22×C4×D3—42no—
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×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C3×#124C2×C418yescomplemented
249C3×C4×Q8—42no—
250C3×C4×D4—42no—
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×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×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#947C2×C418yescomplemented
283#946C2×C418yescomplemented
284#939C2×C418yescomplemented
285#937C2×C418yescomplemented
286C4×#67—42no—
287C4×#67—42no—
288C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
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
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348#893—42no—
349#893—42no—
350#893—42no—
351D3×C4⋊C4—42no—
352D3×C4⋊C4—42no—
353D3×C4⋊C4—42no—
354#886C2×C418yescomplemented
355#884C2×C418yescomplemented
356#884C2×C418yescomplemented
357#883C2×C418yescomplemented
358#882C2×C418yescomplemented
359#67⋊C4—42no—
360#67⋊C4—42no—
361#67⋊C4C2×C418yescomplemented
362D3×C22⋊C4—42no—
363D3×C22⋊C4C2×C418yescomplemented
364#879C2×C418yescomplemented
365#877—42no—
366#876C2×C418yescomplemented
367C4×D12C2×C418yescomplemented
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
408C24×C4—31no—
409#538—316no—
410C2×#126—31no—
411C2×#126—31no—
412C2×#124—31no—
413C2×#124C2×D311yescharacteristic
414C2×#123—31no—
415C2×#123—31no—
416C2×C22⋊Q8—31no—
417C2×#121—31no—
418C2×#121—31no—
419C2×#121—31no—
420C2×#120—31no—
421C2×#120—31no—
422C2×C4×Q8C2×D311yescharacteristic, complemented
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×D4—31no—
433C2×C4×D4C2×D311yescharacteristic
434C2×#117—31no—
435C22×C4⋊C4—31no—
436C22×C4⋊C4—31no—
437C22×C4⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4—31no—
440#391—31no—
441#391—31no—
442#391C2×D311yescharacteristic, complemented
443#390—31no—
444#390—31no—
445#390—31no—
446#390—31no—
447#390C2×D311yescharacteristic
448#389—31no—
449#389—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389—31no—
455#389—31no—
456#388—31no—
457#388—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#388C2×D311yescharacteristic
477#388C2×D311yescharacteristic
478#388C2×D311yescharacteristic, complemented
479#388C2×D311yescharacteristic, complemented
480#387—31no—
481#387—31no—
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#386—31no—
493#386—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#385—31no—
507#385—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#385C2×D311yescharacteristic
525#385C2×D311yescharacteristic
526#385C2×D311yescharacteristic, complemented
527#385C2×D311yescharacteristic, complemented
528#384C2×D311yescharacteristic, complemented
529#383—31no—
530#382—31no—
531#382—31no—
532#381—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#380—31no—
537#380—31no—
538#379—31no—
539#379—31no—
540C4×C4⋊C4—31no—
541C4×C4⋊C4—31no—
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C22⋊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#376C2×D311yescharacteristic, complemented
561C2×#95—31no—
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×C414yescomplemented
579C2×C3×D4—41no—
580C2×C3×D4—41no—
581C2×C3×D4C22×C414yes—
582C22×C3×C4—22no—
583C22×C3×C4—22no—
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×C414yescomplemented
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×C414yescomplemented
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—22no—
649C2×C4×D3—22no—
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—416no—
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×D3C22×C414yes—
673C2×C4×D3C22×C414yes—
674C2×C4×D3C22×C414yescomplemented
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4C22×C414yes—
690C3×C22⋊C4C22×C414yes—
691C3×C22⋊C4C22×C414yescomplemented
692C3×C22⋊C4C22×C414yescomplemented
693C3×C42—22no—
694C3×C42—41no—
695C3×C42—41no—
696C3×C42—41no—
697C3×C42C22×C414yescomplemented
698#217—22no—
699#217—41no—
700#217—41no—
701#217—41no—
702#217—41no—
703#217—41no—
704#217C22×C414yes—
705#217C22×C414yes—
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—41no—
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)⋊C4—41no—
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×C414yescomplemented
729(C2×D3)⋊C4C22×C414yescomplemented
730C4⋊Dic3—22no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3C22×C414yescomplemented
735C4⋊Dic3C22×C414yescomplemented
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
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⋊C4—41no—
748Dic3⋊C4C22×C414yescomplemented
749Dic3⋊C4C22×C414yescomplemented
750Dic3⋊C4C22×C414yescomplemented
751Dic3⋊C4C22×C414yescomplemented
752C4×Dic3—22no—
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×Dic3—41no—
764C4×Dic3C22×C414yescomplemented
765C25—31no—
766C22×Q8C22×D311yescharacteristic
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4—31no—
773C22×D4C22×D311yescharacteristic
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×C4—31no—
788C23×C4—122no—
789C23×C4—122no—
790C23×C4—122no—
791C23×C4C22×D311yescharacteristic
792C23×C4C22×D311yescharacteristic
793#126—38no—
794#126—38no—
795#124—38no—
796#124C4×D318yescomplemented
797#123—38no—
798#123—38no—
799C22⋊Q8—38no—
800#121—38no—
801#121—38no—
802#121—38no—
803#120—38no—
804#120—38no—
805C4×Q8—42no—
806C4×D4—38no—
807C4×D4—38no—
808C4×D4—42no—
809C4×D4—122no—
810C4×D4—122no—
811C4×D4—122no—
812C4×D4—122no—
813C4×D4—122no—
814C4×D4—122no—
815C4×D4—122no—
816C4×D4—122no—
817#117—122no—
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—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—122no—
841C2×C4⋊C4—122no—
842C2×C4⋊C4—122no—
843C2×C4⋊C4C22×D311yescharacteristic
844C2×C4⋊C4C22×D311yescharacteristic
845C2×C4⋊C4C22×D311yescharacteristic
846C2×C4⋊C4C22×D311yescharacteristic
847C2×C4⋊C4C22×D311yescharacteristic
848C2×C4⋊C4C22×D311yescharacteristic
849C2×C4⋊C4C22×D311yescharacteristic
850C2×C4⋊C4C22×D311yescharacteristic
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—38no—
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—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
894C2×C22⋊C4C22×D311yescharacteristic
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—31no—
907C2×C42—31no—
908C2×C42C22×D311yescharacteristic
909C2×C42C22×D311yescharacteristic
910C2×C42C22×D311yescharacteristic
911C2×C42C22×D311yescharacteristic
912C2×C42C22×D311yescharacteristic
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#95—31no—
945#95C22×D311yescharacteristic
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952#95C22×D311yescharacteristic
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×C3—21no—
965C23×C3C23×C412yes—
966C23×C3C23×C412yes—
967C23×C3C2511yescharacteristic
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—21no—
984C22×D3—28no—
985C22×D3—44no—
986C22×D3—44no—
987C22×D3—44no—
988C22×D3—44no—
989C22×D3—44no—
990C22×D3—44no—
991C22×D3C23×C412yes—
992C22×D3C23×C412yes—
993C22×D3C23×C412yes—
994C22×D3H(5,𝔽2)12yes—
995C22×D32−1+412yes—
996C3×Q8—44no—
997C3×D4—44no—
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—21no—
1031C2×C3×C4—44no—
1032C2×C3×C4—82no—
1033C2×C3×C4C23×C412yes—
1034C2×C3×C4C23×C412yes—
1035C2×C3×C4C23×C412yes—
1036C2×C3×C4C23×C412yes—
1037C2×C3×C4C23×C412yes—
1038C2×C3×C4H(5,𝔽2)12yes—
1039#67—28no—
1040#67—44no—
1041#67—44no—
1042#67—44no—
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—21no—
1076C2×Dic3—44no—
1077C2×Dic3—44no—
1078C2×Dic3—82no—
1079C2×Dic3C23×C412yes—
1080C2×Dic3C23×C412yes—
1081C2×Dic3C23×C412yes—
1082C2×Dic3C23×C412yes—
1083C2×Dic3C23×C412yes—
1084C2×Dic3H(5,𝔽2)12yes—
1085D12—28no—
1086D12—44no—
1087C4×D3—44no—
1088C4×D3—44no—
1089C4×D3—44no—
1090C4×D3—44no—
1091C4×D3—44no—
1092C4×D3—44no—
1093C4×D3—44no—
1094C4×D3—82no—
1095C4×D3—82no—
1096C4×D3—82no—
1097C4×D3—82no—
1098C24—31no—
1099C24—31no—
1100C24—31no—
1101C24—34no—
1102C24—62no—
1103C24—62no—
1104C24—121no—
1105C24—121no—
1106C24—121no—
1107C24—121no—
1108C24C23×D311yescharacteristic
1109C24C23×D311yescharacteristic
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×Q8C2×C4×D314yescomplemented
1113C2×D4—34no—
1114C2×D4—34no—
1115C2×D4—34no—
1116C2×D4—34no—
1117C2×D4—34no—
1118C2×D4—34no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—62no—
1122C2×D4—62no—
1123C2×D4—62no—
1124C2×D4—62no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4—121no—
1133C2×D4C2×C4×D314yes—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—31no—
1140C22×C4—31no—
1141C22×C4—31no—
1142C22×C4—34no—
1143C22×C4—34no—
1144C22×C4—34no—
1145C22×C4—34no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
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—1216no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
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
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—34no—
1212C4⋊C4—34no—
1213C4⋊C4—34no—
1214C4⋊C4—34no—
1215C4⋊C4—34no—
1216C4⋊C4—34no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—62no—
1226C4⋊C4—62no—
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—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
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—41no—
1254C22⋊C4—41no—
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⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4C2×C4×D314yes—
1278C22⋊C4C2×C4×D314yes—
1279C22⋊C4C2×C4×D314yescomplemented
1280C22⋊C4C2×C4×D314yescomplemented
1281C42—22no—
1282C42—34no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C42—62no—
1287C42—121no—
1288C42—121no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C42—121no—
1298C42C2×C4×D314yescomplemented
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—41no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3C24×C411yescharacteristic
1314C22×C3C2×H(5,𝔽2)11yescharacteristic
1315C22×C3C2×H(5,𝔽2)11yescharacteristic
1316C22×C3C2×H(5,𝔽2)11yescharacteristic
1317C22×C3C2×2−1+411yescharacteristic
1318C22×C3#58511yescharacteristic
1319C22×C3#58511yescharacteristic
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—22no—
1331C2×D3—22no—
1332C2×D3—416no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3#52014yes—
1342C3×C4—22no—
1343C3×C4—22no—
1344C3×C4—22no—
1345C3×C4—22no—
1346C3×C4—22no—
1347C3×C4—22no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355Dic3—22no—
1356Dic3—22no—
1357Dic3—22no—
1358Dic3—22no—
1359Dic3—22no—
1360Dic3—22no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—32no—
1381C23—32no—
1382C23—32no—
1383C23—32no—
1384C23—32no—
1385C23—68no—
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—61no—
1401C23—61no—
1402C23—124no—
1403C23—124no—
1404C23—124no—
1405C23—124no—
1406C23—124no—
1407C23—124no—
1408C23C22×C4×D312yes—
1409C23C22×C4×D312yes—
1410C23C24×D311yescharacteristic
1411Q8—44no—
1412D4—44no—
1413D4—68no—
1414D4—68no—
1415D4—124no—
1416D4—124no—
1417D4—124no—
1418D4—124no—
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—21no—
1451C2×C4—21no—
1452C2×C4—32no—
1453C2×C4—32no—
1454C2×C4—32no—
1455C2×C4—32no—
1456C2×C4—32no—
1457C2×C4—32no—
1458C2×C4—44no—
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—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—82no—
1493C2×C4—124no—
1494C2×C4—124no—
1495C2×C4—124no—
1496C2×C4—124no—
1497C2×C4—124no—
1498C2×C4—124no—
1499C2×C4—124no—
1500C2×C4—124no—
1501C2×C4—124no—
1502C2×C4—242no—
1503C2×C4—242no—
1504C2×C4—242no—
1505C2×C4—242no—
1506C2×C4—242no—
1507C2×C4C22×C4×D312yes—
1508C2×C4C22×C4×D312yes—
1509C2×C4C22×C4×D312yes—
1510C2×C4C22×C4×D312yes—
1511C2×C4C22×C4×D312yes—
1512C2×C4#100412yes—
1513C2×C3—42no—
1514C2×C3—42no—
1515C2×C3C2×#52011yescharacteristic
1516C2×C3C4×H(5,𝔽2)11yescharacteristic
1517C2×C3C4×H(5,𝔽2)11yescharacteristic
1518C2×C3#353211yescharacteristic
1519C2×C3#353311yescharacteristic
1520C2×C3#354111yescharacteristic
1521C2×C3#354111yescharacteristic
1522D3—24no—
1523D3—42no—
1524D3—42no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—34no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—62no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—1216no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22C23×C4×D311yescharacteristic
1562C22C2×#100411yescharacteristic
1563C22#596411yescharacteristic
1564C22D3×H(5,𝔽2)11yescharacteristic
1565C22D3×H(5,𝔽2)11yescharacteristic
1566C22D3×2−1+411yescharacteristic
1567C22#596811yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—62no—
1582C4—62no—
1583C4—62no—
1584C4—62no—
1585C4—62no—
1586C4—62no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C4—121no—
1593C4—121no—
1594C3#3441611yescharacteristic, complemented, Sylow
1595C2—42no—
1596C2—42no—
1597C2—64no—
1598C2—122no—
1599C2—122no—
1600C2C4×#100411yescharacteristic
1601C2#8588611yescharacteristic
1602C2D3×#52011yescharacteristic
1603C2#8633311yescharacteristic
1604C2#8636011yescharacteristic
1605C2#8653111yescharacteristic
1606C2#8655911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2326C2
socle, cosocleC23×C3C25
prime radicalC2×#5678C2
hypercenter#2326D3
hypocenterC3#34416
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. #82490C2semidirect
5. #82466C2semidirect
6. C4×#937C2semidirect
7. #82327C2semidirect
8. #76616C2semidirect
9. #76496C2semidirect
10. #76429C2semidirect
11. #76296C2semidirect
12. #75839C2semidirect
13. #75834C2semidirect
14. #75828C2semidirect
15. #75826C2semidirect
16. #75825C2semidirect
17. #75490C2semidirect
18. #75489C2semidirect
19. #75465C2semidirect
20. D3×#385C2semidirect
21. #74397C2semidirect
22. #74397C2semidirect
23. #74395C2semidirect
24. #74394C2semidirect
25. #74390C2semidirect
26. #74388C2semidirect
27. #74379C2semidirect
28. #74361C2semidirect
29. #74360C2semidirect
30. #73417C2semidirect
31. #73396C2semidirect
35. C2×C3×C4×Q8C22semidirect
43. C2×C4×#67C22semidirect
44. #5678C4semidirect
50. C2×D3×C4⋊C4C22semidirect
62. C2×#877C22semidirect
65. C3×#391C22semidirect
69. C3×#388C22semidirect
70. C3×#388C22semidirect
73. C3×#385C22semidirect
74. C3×#385C22semidirect
75. C3×#384C22semidirect
76. C3×#376C22semidirect
77. #5229C22semidirect
78. #5229C22semidirect
84. C2×C3⋊#95C22semidirect
88. #4990C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
99. #4987C22semidirect
100. #4978C22semidirect
101. #4978C22semidirect
102. #4978C22semidirect
103. #4976C22semidirect
104. #4976C22semidirect
105. #4976C22semidirect
106. #4976C22semidirect
107. Dic3×C4⋊C4C22semidirect
108. Dic3×C4⋊C4C22semidirect
109. #4972C22semidirect
110. #4972C22semidirect
112. #4958C22semidirect
115. #4957C22semidirect
120. #4956C22semidirect
125. #4951C22semidirect
126. #4951C22semidirect
128. #4950C22semidirect
135. #4942C22semidirect
136. #4942C22semidirect
138. Dic3×C22⋊C4C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4937C22semidirect
151. C4×C4⋊Dic3C22semidirect
152. #4933C22semidirect
153. #4933C22semidirect
154. C4×Dic3⋊C4C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. #4928C22semidirect
160. #4669C22semidirect
164. #4668C22semidirect
169. #4666C22semidirect
174. #4664C22semidirect
177. #4655C22semidirect
178. #4655C22semidirect
179. #4654C22semidirect
180. #4654C22semidirect
181. #4654C22semidirect
182. #4653C22semidirect
183. #4652C22semidirect
184. #4650C22semidirect
185. #4650C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
210. #2326D3semidirect
248. C3×#124C2×C4semidirect
282. #947C2×C4semidirect
283. #946C2×C4semidirect
284. #939C2×C4semidirect
285. #937C2×C4semidirect
354. #886C2×C4semidirect
355. #884C2×C4semidirect
356. #884C2×C4semidirect
357. #883C2×C4semidirect
358. #882C2×C4semidirect
361. #67⋊C4C2×C4semidirect
363. D3×C22⋊C4C2×C4semidirect
364. #879C2×C4semidirect
366. #876C2×C4semidirect
367. C4×D12C2×C4semidirect
422. C2×C4×Q8C2×D3semidirect
442. #391C2×D3semidirect
478. #388C2×D3semidirect
479. #388C2×D3semidirect
526. #385C2×D3semidirect
527. #385C2×D3semidirect
528. #384C2×D3semidirect
560. #376C2×D3semidirect
578. C2×C3×Q8C22×C4semidirect
612. C2×#67C22×C4semidirect
621. C22×Dic3C22×C4semidirect
674. C2×C4×D3C22×C4semidirect
691. C3×C22⋊C4C22×C4semidirect
692. C3×C22⋊C4C22×C4semidirect
697. C3×C42C22×C4semidirect
728. (C2×D3)⋊C4C22×C4semidirect
729. (C2×D3)⋊C4C22×C4semidirect
734. C4⋊Dic3C22×C4semidirect
735. C4⋊Dic3C22×C4semidirect
748. Dic3⋊C4C22×C4semidirect
749. Dic3⋊C4C22×C4semidirect
750. Dic3⋊C4C22×C4semidirect
751. Dic3⋊C4C22×C4semidirect
764. C4×Dic3C22×C4semidirect
796. #124C4×D3semidirect
1112. C2×Q8C2×C4×D3semidirect
1279. C22⋊C4C2×C4×D3semidirect
1280. C22⋊C4C2×C4×D3semidirect
1298. C42C2×C4×D3semidirect
1594. C3#34416semidirect

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
#824902
#824662
C4×#9372
#823272
#766162
#764962
#764292
#762962
#758392
#758342
#758282
#758262
#758252
#754902
#754892
#754652
D3×#3852
#743972
#743952
#743942
#743902
#743882
#743792
#743612
#743602
#734172
#733962
#344163