Finite Group Databasebeta

← #10959717

Subgroups — #10959717

Order 768.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5630C211yesmaximal, characteristic
2C3×#2329C211yesmaximal, characteristic, complemented
3#82749C211yesmaximal, characteristic, complemented
4#76613C211yesmaximal, characteristic, complemented
5#76496C211yesmaximal, characteristic, complemented
6#76488C211yesmaximal, characteristic, complemented
7#76482C211yesmaximal, characteristic, complemented
8#76207C211yesmaximal, characteristic, complemented
9#76206C211yesmaximal, characteristic, complemented
10#76198C211yesmaximal, characteristic, complemented
11#76196C211yesmaximal, characteristic, complemented
12#75313C211yesmaximal, characteristic, complemented
13#75313C211yesmaximal, characteristic, complemented
14#75307C211yesmaximal, characteristic, complemented
15#75305C211yesmaximal, characteristic, complemented
16#75302C211yesmaximal, characteristic, complemented
17#75298C211yesmaximal, characteristic, complemented
18#75298C211yesmaximal, characteristic, complemented
19#74945C211yesmaximal, characteristic, complemented
20#74592C211yesmaximal, characteristic, complemented
21#74591C211yesmaximal, characteristic, complemented
22D3×#385C211yesmaximal, characteristic, complemented
23#74379C211yesmaximal, characteristic, complemented
24#74011C211yesmaximal, characteristic, complemented
25#74007C211yesmaximal, characteristic, complemented
26#73577C211yesmaximal, characteristic, complemented
27#73577C211yesmaximal, characteristic, complemented
28#73574C211yesmaximal, characteristic, complemented
29#73574C211yesmaximal, characteristic, complemented
30#73367C211yesmaximal, characteristic, complemented
31C2×#4665C211yesmaximal, characteristic, complemented
32#34456—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42#5630C4116yescomplemented
43C2×#895C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#895C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#893C2211yescharacteristic
49C2×#893C2211yescharacteristic
50C2×#893C2211yescharacteristic
51C2×#893C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic, complemented
53C2×D3×C4⋊C4C2211yescharacteristic, complemented
54C2×D3×C4⋊C4C2211yescharacteristic, complemented
55C2×#882C2211yescharacteristic
56C2×#882C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×C4×D12C2211yescharacteristic, complemented
64C2×C4×D12C2211yescharacteristic, complemented
65C2×#872C2211yescharacteristic, complemented
66C2×#872C2211yescharacteristic, complemented
67C3×#391C2211yescharacteristic, complemented
68C3×#391C2211yescharacteristic, complemented
69C3×#389C2211yescharacteristic, complemented
70C3×#389C2211yescharacteristic, complemented
71C3×#387C2211yescharacteristic, complemented
72C3×#387C2211yescharacteristic, complemented
73C3×#387C2211yescharacteristic, complemented
74C3×#387C2211yescharacteristic, complemented
75C3×#385C2211yescharacteristic
76C3×#385C2211yescharacteristic
77C3×#380C2211yescharacteristic
78C3×C4×C22⋊C4C2211yescharacteristic
79C3×C4×C22⋊C4C2211yescharacteristic
80C2×C3×#95C2211yescharacteristic
81#5229C2211yescharacteristic, complemented
82#5229C2211yescharacteristic, complemented
83#5213C2211yescharacteristic
84#5213C2211yescharacteristic
85#5210C2211yescharacteristic
86#5210C2211yescharacteristic
87C4×#217C2211yescharacteristic
88C2×C3⋊#95C2211yescharacteristic
89#4990C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4989C2211yescharacteristic, complemented
92#4989C2211yescharacteristic, complemented
93#4989C2211yescharacteristic, complemented
94#4989C2211yescharacteristic, complemented
95#4989C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4988C2211yescharacteristic
100#4988C2211yescharacteristic
101#4988C2211yescharacteristic, complemented
102#4988C2211yescharacteristic, complemented
103#4987C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4980C2211yescharacteristic, complemented
106#4980C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111Dic3×C4⋊C4C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4950C2211yescharacteristic
116#4950C2211yescharacteristic
117#4946C2211yescharacteristic
118#4946C2211yescharacteristic
119Dic3×C22⋊C4C2211yescharacteristic
120Dic3×C22⋊C4C2211yescharacteristic
121#4940C2211yescharacteristic, complemented
122#4940C2211yescharacteristic, complemented
123#4940C2211yescharacteristic, complemented
124#4940C2211yescharacteristic, complemented
125#4940C2211yescharacteristic, complemented
126#4940C2211yescharacteristic, complemented
127#4939C2211yescharacteristic, complemented
128#4939C2211yescharacteristic, complemented
129C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
131C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
133#4670C2211yescharacteristic, complemented
134#4670C2211yescharacteristic, complemented
135#4669C2211yescharacteristic, complemented
136#4669C2211yescharacteristic, complemented
137#4669C2211yescharacteristic, complemented
138#4669C2211yescharacteristic, complemented
139#4669C2211yescharacteristic, complemented
140#4669C2211yescharacteristic, complemented
141#4669C2211yescharacteristic, complemented
142#4669C2211yescharacteristic, complemented
143#4668C2211yescharacteristic, complemented
144#4668C2211yescharacteristic, complemented
145#4668C2211yescharacteristic, complemented
146#4668C2211yescharacteristic, complemented
147#4668C2211yescharacteristic, complemented
148#4668C2211yescharacteristic, complemented
149#4667C2211yescharacteristic, complemented
150#4667C2211yescharacteristic, complemented
151#4667C2211yescharacteristic, complemented
152#4667C2211yescharacteristic, complemented
153#4667C2211yescharacteristic, complemented
154#4667C2211yescharacteristic, complemented
155#4666C2211yescharacteristic, complemented
156#4666C2211yescharacteristic, complemented
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic, complemented
182D3×#95C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4651C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189C2×#546—31no—
190#2379—31no—
191#2377—31no—
192#2377—31no—
193#2376—31no—
194#2368—31no—
195#2361—31no—
196#2359—31no—
197#2358—31no—
198#2358—31no—
199#2352—31no—
200#2349—31no—
201#2342—31no—
202#2342—31no—
203#2339—31no—
204D4×C22⋊C4—31no—
205#2337—31no—
206#2335—31no—
207#2329D311yescharacteristic, complemented
208#2325—31no—
209#2325—31no—
210#2324—31no—
211#2322—31no—
212#2321—31no—
213#2318—31no—
214#2318—31no—
215#2315—31no—
216#2311—31no—
217C4×#120—31no—
218C2×#386—31no—
219C2×#385—31no—
220C24×D3C2311yescharacteristic
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C2×#239—42no—
230C2×#239—42no—
231C2×#239C2×C418yescomplemented
232C22×D12—42no—
233C22×D12—42no—
234C22×D12C2×C418yescomplemented
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3—42no—
244C22×C4×D3—42no—
245C22×C4×D3—42no—
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C3×C22⋊Q8C2×C418yescomplemented
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#947C2×C418yescomplemented
283C4×#67C2×C418yescomplemented
284C2×(C2×D3)⋊C4—42no—
285C2×(C2×D3)⋊C4—42no—
286C2×(C2×D3)⋊C4—42no—
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#895C2×C418yescomplemented
351#895C2×C418yescomplemented
352#895C2×C418yescomplemented
353#894C2×C418yescomplemented
354#894C2×C418yescomplemented
355#893—42no—
356#893—42no—
357#893—42no—
358#893—42no—
359#893C2×C418yescomplemented
360D3×C4⋊C4—42no—
361D3×C4⋊C4—42no—
362#882C2×C418yescomplemented
363#882C2×C418yescomplemented
364#67⋊C4—42no—
365#67⋊C4—42no—
366D3×C22⋊C4—42no—
367D3×C22⋊C4—42no—
368D3×C22⋊C4C2×C418yescomplemented
369D3×C22⋊C4C2×C418yescomplemented
370C4×D12—42no—
371C4×D12—42no—
372#872—42no—
373#872—42no—
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
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C22×#41—31no—
415C23×D4—31no—
416C24×C4—31no—
417#546—316no—
418C2×#124—31no—
419C2×#123—31no—
420C2×#123—31no—
421C2×C22⋊Q8C2×D311yescharacteristic
422C2×#121—31no—
423C2×#121—31no—
424C2×#121—31no—
425C2×#120—31no—
426C2×#120—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×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×#117—31no—
438C2×#117—31no—
439C22×C4⋊C4—31no—
440C22×C4⋊C4—31no—
441C22×C22⋊C4—31no—
442C22×C22⋊C4—31no—
443C22×C22⋊C4—31no—
444C22×C22⋊C4—31no—
445C22×C22⋊C4—31no—
446C22×C22⋊C4—31no—
447C22×C22⋊C4—31no—
448#391—31no—
449#391—31no—
450#391C2×D311yescharacteristic, complemented
451#391C2×D311yescharacteristic, complemented
452#390—31no—
453#390—31no—
454#390—31no—
455#390—31no—
456#390—31no—
457#390—31no—
458#389—31no—
459#389—31no—
460#389C2×D311yescharacteristic, complemented
461#389C2×D311yescharacteristic, complemented
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#388—31no—
479#388—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387C2×D311yescharacteristic, complemented
487#387C2×D311yescharacteristic, complemented
488#387C2×D311yescharacteristic, complemented
489#387C2×D311yescharacteristic, complemented
490#386—31no—
491#386—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#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—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#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385C2×D311yescharacteristic
533#385C2×D311yescharacteristic
534#383—31no—
535#382—31no—
536#382—31no—
537#381—31no—
538#381—31no—
539#381—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#380—31no—
546#380—31no—
547#380—31no—
548#380C2×D311yescharacteristic
549#379—31no—
550#379—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊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—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4C2×D311yescharacteristic
564C4×C22⋊C4C2×D311yescharacteristic
565C2×#95—31no—
566C2×#95—31no—
567C2×#95—31no—
568C2×#95—31no—
569C2×#95C2×D311yescharacteristic
570C24×C3C2411yescharacteristic
571C23×D3—22no—
572C23×D3—22no—
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C22×C414yes—
584C23×D3C22×C414yes—
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×Q8C22×C414yescomplemented
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4C22×C414yes—
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
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C2×#67—22no—
617C2×#67—22no—
618C2×#67C22×C414yes—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3—41no—
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636#239—416no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—416no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12C22×C414yes—
655C2×D12C22×C414yes—
656C2×D12C22×C414yes—
657C2×D12C22×C414yes—
658C2×D12C22×C414yes—
659C2×D12C22×C414yes—
660C2×D12C22×C414yescomplemented
661C2×D12C22×C414yescomplemented
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—22no—
670C2×C4×D3—22no—
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×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—416no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3C22×C414yes—
704C2×C4×D3C22×C414yes—
705C2×C4×D3C22×C414yescomplemented
706C2×C4×D3C22×C414yescomplemented
707C2×C4×D3C22×C414yescomplemented
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C4⋊C4—41no—
711C3×C4⋊C4—41no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4C22×C414yescomplemented
715C3×C4⋊C4C22×C414yescomplemented
716C3×C4⋊C4C22×C414yescomplemented
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4C22×C414yes—
720C3×C22⋊C4C22×C414yes—
721C3×C42—41no—
722C3×C42—41no—
723C3×C42—41no—
724C3×C42—41no—
725#217—22no—
726#217—22no—
727#217C22×C414yes—
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—41no—
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)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4C22×C414yes—
759(C2×D3)⋊C4C22×C414yes—
760(C2×D3)⋊C4C22×C414yes—
761(C2×D3)⋊C4C22×C414yes—
762(C2×D3)⋊C4C22×C414yescomplemented
763(C2×D3)⋊C4C22×C414yescomplemented
764(C2×D3)⋊C4C22×C414yescomplemented
765(C2×D3)⋊C4C22×C414yescomplemented
766(C2×D3)⋊C4C22×C414yescomplemented
767C4⋊Dic3—22no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771Dic3⋊C4—22no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4C22×C414yescomplemented
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C4×Dic3—41no—
787C4×Dic3—41no—
788C4×Dic3—41no—
789C4×Dic3—41no—
790C4×Dic3C22×C414yescomplemented
791C25—31no—
792C25—31no—
793C2×#41—38no—
794C2×#41—122no—
795C2×#41—122no—
796C22×Q8C22×D311yescharacteristic
797C22×D4—31no—
798C22×D4—38no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—122no—
808C22×D4—122no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—122no—
827C23×C4—122no—
828C23×C4—122no—
829C23×C4C22×D311yescharacteristic
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D311yescharacteristic
832#124—38no—
833#123—38no—
834#123—38no—
835C22⋊Q8C4×D318yescomplemented
836#121—38no—
837#121—38no—
838#121—38no—
839#120—38no—
840#120—38no—
841C4×D4—38no—
842C4×D4—38no—
843C4×D4—122no—
844C4×D4—122no—
845C4×D4—122no—
846C4×D4—122no—
847C4×D4—122no—
848C4×D4—122no—
849C4×D4—122no—
850C4×D4—122no—
851#117—122no—
852#117—122no—
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—122no—
869C2×C4⋊C4—122no—
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
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×C4⋊C4C22×D311yescharacteristic
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—38no—
890C2×C22⋊C4—38no—
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—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—122no—
924C2×C22⋊C4—122no—
925C2×C22⋊C4—122no—
926C2×C22⋊C4—122no—
927C2×C22⋊C4—122no—
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
944C2×C42C22×D311yescharacteristic
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#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#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3C23×C412yes—
990C23×C3H(5,𝔽2)12yes—
991C23×C32−1+412yes—
992C23×C3C2511yescharacteristic
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—28no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
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—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—28no—
1023C22×D3—28no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—44no—
1030C22×D3—44no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3—82no—
1035C22×D3C23×C412yes—
1036C22×D3C23×C412yes—
1037C22×D3C23×C412yes—
1038C22×D3C23×C412yes—
1039C22×D3C23×C412yes—
1040C22×D3H(5,𝔽2)12yes—
1041C22×D3H(5,𝔽2)12yes—
1042C3×Q8—44no—
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—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—44no—
1080C2×C3×C4—44no—
1081C2×C3×C4—82no—
1082C2×C3×C4C23×C412yes—
1083C2×C3×C4C23×C412yes—
1084C2×C3×C4C23×C412yes—
1085C2×C3×C4C23×C412yes—
1086C2×C3×C4C23×C412yes—
1087C2×C3×C4C23×C412yes—
1088#67—28no—
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×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—44no—
1119C2×Dic3—82no—
1120C2×Dic3C23×C412yes—
1121C2×Dic3C23×C412yes—
1122C2×Dic3C23×C412yes—
1123C2×Dic3H(5,𝔽2)12yes—
1124D12—28no—
1125D12—28no—
1126D12—28no—
1127D12—44no—
1128D12—44no—
1129D12—44no—
1130D12—44no—
1131D12—44no—
1132C4×D3—28no—
1133C4×D3—44no—
1134C4×D3—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140C4×D3—44no—
1141C4×D3—82no—
1142C4×D3—82no—
1143C4×D3—82no—
1144C4×D3—82no—
1145C4×D3—82no—
1146C4×D3—82no—
1147C24—31no—
1148C24—31no—
1149C24—31no—
1150C24—31no—
1151C24—31no—
1152C24—34no—
1153C24—34no—
1154C24—62no—
1155C24—62no—
1156C24—62no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—121no—
1161C24—121no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24C23×D311yescharacteristic
1167#41—1216no—
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8C2×C4×D314yescomplemented
1171C2×D4—34no—
1172C2×D4—34no—
1173C2×D4—34no—
1174C2×D4—34no—
1175C2×D4—34no—
1176C2×D4—34no—
1177C2×D4—34no—
1178C2×D4—34no—
1179C2×D4—34no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—1216no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—34no—
1206C22×C4—34no—
1207C22×C4—34no—
1208C22×C4—34no—
1209C22×C4—34no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—1216no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4C2×C4×D314yes—
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C4⋊C4—34no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4C2×C4×D314yescomplemented
1307C4⋊C4C2×C4×D314yescomplemented
1308C4⋊C4C2×C4×D314yescomplemented
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—34no—
1312C22⋊C4—34no—
1313C22⋊C4—34no—
1314C22⋊C4—34no—
1315C22⋊C4—34no—
1316C22⋊C4—34no—
1317C22⋊C4—34no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—34no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4C2×C4×D314yes—
1354C22⋊C4C2×C4×D314yes—
1355C42—34no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—41no—
1360C42—62no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C42—121no—
1365C42—121no—
1366C42—121no—
1367C42—121no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3#52014yes—
1375C22×C3C24×C411yescharacteristic
1376C22×C3C2×H(5,𝔽2)11yescharacteristic
1377C22×C3C2×H(5,𝔽2)11yescharacteristic
1378C22×C3C2×H(5,𝔽2)11yescharacteristic
1379C22×C3C2×H(5,𝔽2)11yescharacteristic
1380C22×C3C2×2−1+411yescharacteristic
1381C22×C3#58511yescharacteristic
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—22no—
1390C2×D3—22no—
1391C2×D3—22no—
1392C2×D3—22no—
1393C2×D3—22no—
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—416no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—88no—
1418C2×D3#51814yes—
1419C3×C4—22no—
1420C3×C4—22no—
1421C3×C4—22no—
1422C3×C4—22no—
1423C3×C4—22no—
1424C3×C4—22no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433Dic3—22no—
1434Dic3—22no—
1435Dic3—22no—
1436Dic3—22no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—32no—
1449C23—32no—
1450C23—32no—
1451C23—32no—
1452C23—32no—
1453C23—32no—
1454C23—32no—
1455C23—68no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—68no—
1485C23—68no—
1486C23—124no—
1487C23—124no—
1488C23—124no—
1489C23—124no—
1490C23—124no—
1491C23—124no—
1492C23—124no—
1493C23—242no—
1494C23—242no—
1495C23—242no—
1496C23—242no—
1497C23C22×C4×D312yes—
1498C23#100712yes—
1499C23#100912yes—
1500C23C24×D311yescharacteristic
1501Q8—44no—
1502D4—68no—
1503D4—68no—
1504D4—68no—
1505D4—68no—
1506D4—124no—
1507D4—124no—
1508D4—124no—
1509D4—124no—
1510D4—124no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—32no—
1548C2×C4—32no—
1549C2×C4—32no—
1550C2×C4—32no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—68no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—82no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—124no—
1592C2×C4—124no—
1593C2×C4—242no—
1594C2×C4—242no—
1595C2×C4—242no—
1596C2×C4—242no—
1597C2×C4—242no—
1598C2×C4—242no—
1599C2×C4—242no—
1600C2×C4C22×C4×D312yes—
1601C2×C4C22×C4×D312yes—
1602C2×C4C22×C4×D312yes—
1603C2×C4C22×C4×D312yes—
1604C2×C4C22×C4×D312yes—
1605C2×C4C22×C4×D312yes—
1606C2×C3—24no—
1607C2×C3C2×#51811yescharacteristic
1608C2×C3C2×#52011yescharacteristic
1609C2×C3C4×H(5,𝔽2)11yescharacteristic
1610C2×C3#353211yescharacteristic
1611C2×C3#353411yescharacteristic
1612C2×C3#353511yescharacteristic
1613C2×C3#353611yescharacteristic
1614D3—24no—
1615D3—42no—
1616D3—42no—
1617D3—42no—
1618D3—42no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—34no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—62no—
1631C22—62no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—62no—
1643C22—62no—
1644C22—1216no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—248no—
1662C22#557414yes—
1663C22C23×C4×D311yescharacteristic
1664C22C2×#100711yescharacteristic
1665C22C2×#100911yescharacteristic
1666C22D3×H(5,𝔽2)11yescharacteristic
1667C22D3×H(5,𝔽2)11yescharacteristic
1668C22D3×H(5,𝔽2)11yescharacteristic
1669C22#596811yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—62no—
1685C4—62no—
1686C4—62no—
1687C4—62no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C3#3445611yescharacteristic, complemented, Sylow
1696C2—24no—
1697C2—64no—
1698C2—122no—
1699C2—122no—
1700C2—122no—
1701C2—122no—
1702C2C2×#557411yescharacteristic
1703C2D3×#51811yescharacteristic
1704C2#8588611yescharacteristic
1705C2#8641811yescharacteristic
1706C2#8645811yescharacteristic
1707C2#8657511yescharacteristic
1708C2#8660011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2329C2
socle, cosocleC23×C3C25
prime radicalC2×#5630C2
hypercenter#2329D3
hypocenterC3#34456
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2329

Complements

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

NH ≅ G/Ntype
2. C3×#2329C2semidirect
3. #82749C2semidirect
4. #76613C2semidirect
5. #76496C2semidirect
6. #76488C2semidirect
7. #76482C2semidirect
8. #76207C2semidirect
9. #76206C2semidirect
10. #76198C2semidirect
11. #76196C2semidirect
12. #75313C2semidirect
13. #75313C2semidirect
14. #75307C2semidirect
15. #75305C2semidirect
16. #75302C2semidirect
17. #75298C2semidirect
18. #75298C2semidirect
19. #74945C2semidirect
20. #74592C2semidirect
21. #74591C2semidirect
22. D3×#385C2semidirect
23. #74379C2semidirect
24. #74011C2semidirect
25. #74007C2semidirect
26. #73577C2semidirect
27. #73577C2semidirect
28. #73574C2semidirect
29. #73574C2semidirect
30. #73367C2semidirect
31. C2×#4665C2semidirect
42. #5630C4semidirect
51. C2×#893C22semidirect
52. C2×#893C22semidirect
53. C2×D3×C4⋊C4C22semidirect
54. C2×D3×C4⋊C4C22semidirect
63. C2×C4×D12C22semidirect
64. C2×C4×D12C22semidirect
65. C2×#872C22semidirect
66. C2×#872C22semidirect
67. C3×#391C22semidirect
68. C3×#391C22semidirect
69. C3×#389C22semidirect
70. C3×#389C22semidirect
71. C3×#387C22semidirect
72. C3×#387C22semidirect
73. C3×#387C22semidirect
74. C3×#387C22semidirect
81. #5229C22semidirect
82. #5229C22semidirect
89. #4990C22semidirect
90. #4990C22semidirect
91. #4989C22semidirect
92. #4989C22semidirect
93. #4989C22semidirect
94. #4989C22semidirect
95. #4989C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
101. #4988C22semidirect
102. #4988C22semidirect
103. #4987C22semidirect
104. #4987C22semidirect
105. #4980C22semidirect
106. #4980C22semidirect
107. #4980C22semidirect
108. #4980C22semidirect
109. #4976C22semidirect
110. #4976C22semidirect
111. Dic3×C4⋊C4C22semidirect
112. Dic3×C4⋊C4C22semidirect
121. #4940C22semidirect
122. #4940C22semidirect
123. #4940C22semidirect
124. #4940C22semidirect
125. #4940C22semidirect
126. #4940C22semidirect
127. #4939C22semidirect
128. #4939C22semidirect
129. C4×(C2×D3)⋊C4C22semidirect
130. C4×(C2×D3)⋊C4C22semidirect
131. C4×(C2×D3)⋊C4C22semidirect
132. C4×(C2×D3)⋊C4C22semidirect
133. #4670C22semidirect
134. #4670C22semidirect
135. #4669C22semidirect
136. #4669C22semidirect
137. #4669C22semidirect
138. #4669C22semidirect
139. #4669C22semidirect
140. #4669C22semidirect
141. #4669C22semidirect
142. #4669C22semidirect
143. #4668C22semidirect
144. #4668C22semidirect
145. #4668C22semidirect
146. #4668C22semidirect
147. #4668C22semidirect
148. #4668C22semidirect
149. #4667C22semidirect
150. #4667C22semidirect
151. #4667C22semidirect
152. #4667C22semidirect
153. #4667C22semidirect
154. #4667C22semidirect
155. #4666C22semidirect
156. #4666C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. D3×#95C22semidirect
181. D3×#95C22semidirect
182. D3×#95C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4651C22semidirect
186. #4650C22semidirect
187. #4650C22semidirect
188. #4649C22semidirect
207. #2329D3semidirect
231. C2×#239C2×C4semidirect
234. C22×D12C2×C4semidirect
261. C3×C22⋊Q8C2×C4semidirect
282. #947C2×C4semidirect
283. C4×#67C2×C4semidirect
350. #895C2×C4semidirect
351. #895C2×C4semidirect
352. #895C2×C4semidirect
353. #894C2×C4semidirect
354. #894C2×C4semidirect
359. #893C2×C4semidirect
362. #882C2×C4semidirect
363. #882C2×C4semidirect
368. D3×C22⋊C4C2×C4semidirect
369. D3×C22⋊C4C2×C4semidirect
450. #391C2×D3semidirect
451. #391C2×D3semidirect
460. #389C2×D3semidirect
461. #389C2×D3semidirect
486. #387C2×D3semidirect
487. #387C2×D3semidirect
488. #387C2×D3semidirect
489. #387C2×D3semidirect
592. C2×C3×Q8C22×C4semidirect
660. C2×D12C22×C4semidirect
661. C2×D12C22×C4semidirect
705. C2×C4×D3C22×C4semidirect
706. C2×C4×D3C22×C4semidirect
707. C2×C4×D3C22×C4semidirect
714. C3×C4⋊C4C22×C4semidirect
715. C3×C4⋊C4C22×C4semidirect
716. C3×C4⋊C4C22×C4semidirect
762. (C2×D3)⋊C4C22×C4semidirect
763. (C2×D3)⋊C4C22×C4semidirect
764. (C2×D3)⋊C4C22×C4semidirect
765. (C2×D3)⋊C4C22×C4semidirect
766. (C2×D3)⋊C4C22×C4semidirect
781. Dic3⋊C4C22×C4semidirect
790. C4×Dic3C22×C4semidirect
835. C22⋊Q8C4×D3semidirect
1170. C2×Q8C2×C4×D3semidirect
1306. C4⋊C4C2×C4×D3semidirect
1307. C4⋊C4C2×C4×D3semidirect
1308. C4⋊C4C2×C4×D3semidirect
1695. C3#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#56302
C3×#23292
#827492
#766132
#764962
#764882
#764822
#762072
#762062
#761982
#761962
#753132
#753072
#753052
#753022
#752982
#749452
#745922
#745912
D3×#3852
#743792
#740112
#740072
#735772
#735742
#733672
C2×#46652
#344563