Finite Group Databasebeta

← #10958928

Subgroups — #10958928

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×#5657C211yesmaximal, characteristic
2C3×#2335C211yesmaximal, characteristic, complemented
3#82836C211yesmaximal, characteristic, complemented
4#76433C211yesmaximal, characteristic, complemented
5#76432C211yesmaximal, characteristic, complemented
6#76202C211yesmaximal, characteristic, complemented
7#75994C211yesmaximal, characteristic, complemented
8#75836C211yesmaximal, characteristic, complemented
9#75829C211yesmaximal, characteristic, complemented
10D3×#388C211yesmaximal, characteristic, complemented
11#75494C211yesmaximal, characteristic, complemented
12#75471C211yesmaximal, characteristic, complemented
13#75462C211yesmaximal, characteristic, complemented
14#75462C211yesmaximal, characteristic, complemented
15#75452C211yesmaximal, characteristic, complemented
16#75306C211yesmaximal, characteristic, complemented
17#75300C211yesmaximal, characteristic, complemented
18#75297C211yesmaximal, characteristic, complemented
19#74974C211yesmaximal, characteristic, complemented
20#74883C211yesmaximal, characteristic, complemented
21#74879C211yesmaximal, characteristic, complemented
22#74591C211yesmaximal, characteristic, complemented
23#74391C211yesmaximal, characteristic, complemented
24#74014C211yesmaximal, characteristic, complemented
25#74010C211yesmaximal, characteristic, complemented
26#73765C211yesmaximal, characteristic, complemented
27C4×#897C211yesmaximal, characteristic, complemented
28#73577C211yesmaximal, characteristic, complemented
29#73576C211yesmaximal, characteristic, complemented
30#73476C211yesmaximal, characteristic, complemented
31#73467C211yesmaximal, characteristic, complemented
32#34426—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×#938C2211yescharacteristic
35C2×#937C2211yescharacteristic
36C2×D4×Dic3C2211yescharacteristic
37C2×#930C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×C4⋊Dic3C2211yescharacteristic, complemented
41#5657C4116yescomplemented
42C2×#898C2211yescharacteristic
43C2×#897C2211yescharacteristic
44C2×#894C2211yescharacteristic
45C2×#893C2211yescharacteristic
46C2×#893C2211yescharacteristic
47C2×D3×C4⋊C4C2211yescharacteristic
48C2×D3×C4⋊C4C2211yescharacteristic, complemented
49C2×#885C2211yescharacteristic
50C2×#885C2211yescharacteristic
51C2×#884C2211yescharacteristic
52C2×#882C2211yescharacteristic
53C2×#67⋊C4C2211yescharacteristic
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×C4×D12C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C2×C42×D3C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic, complemented
67C3×#390C2211yescharacteristic
68C3×#389C2211yescharacteristic, complemented
69C3×#388C2211yescharacteristic
70C3×#388C2211yescharacteristic
71C3×#388C2211yescharacteristic, complemented
72C3×#388C2211yescharacteristic, complemented
73C3×#387C2211yescharacteristic, complemented
74C3×#387C2211yescharacteristic, complemented
75C3×#386C2211yescharacteristic
76C3×#385C2211yescharacteristic
77C3×#380C2211yescharacteristic, complemented
78C3×C4×C4⋊C4C2211yescharacteristic, complemented
79C3×C4×C22⋊C4C2211yescharacteristic
80C3×C4×C22⋊C4C2211yescharacteristic, complemented
81#5220C2211yescharacteristic
82#5213C2211yescharacteristic
83#5211C2211yescharacteristic, complemented
84#5210C2211yescharacteristic
85C4×#217C2211yescharacteristic
86#4990C2211yescharacteristic
87#4990C2211yescharacteristic, complemented
88#4990C2211yescharacteristic, complemented
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic, complemented
95#4987C2211yescharacteristic
96#4987C2211yescharacteristic
97#4984C2211yescharacteristic, complemented
98#4984C2211yescharacteristic, complemented
99#4980C2211yescharacteristic, complemented
100#4980C2211yescharacteristic, complemented
101#4976C2211yescharacteristic, complemented
102#4975C2211yescharacteristic, complemented
103#4975C2211yescharacteristic, complemented
104Dic3×C4⋊C4C2211yescharacteristic, complemented
105#4973C2211yescharacteristic, complemented
106#4972C2211yescharacteristic, complemented
107#4958C2211yescharacteristic
108#4958C2211yescharacteristic, complemented
109#4957C2211yescharacteristic
110#4957C2211yescharacteristic
111#4957C2211yescharacteristic, complemented
112#4956C2211yescharacteristic
113#4956C2211yescharacteristic
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4956C2211yescharacteristic, complemented
117#4951C2211yescharacteristic
118#4951C2211yescharacteristic
119#4950C2211yescharacteristic
120#4950C2211yescharacteristic
121#4950C2211yescharacteristic, complemented
122#4946C2211yescharacteristic
123#4946C2211yescharacteristic
124#4946C2211yescharacteristic, complemented
125#4946C2211yescharacteristic, complemented
126#4945C2211yescharacteristic
127#4944C2211yescharacteristic
128#4944C2211yescharacteristic
129#4944C2211yescharacteristic
130#4944C2211yescharacteristic, complemented
131#4944C2211yescharacteristic, complemented
132Dic3×C22⋊C4C2211yescharacteristic, complemented
133#4940C2211yescharacteristic
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic, complemented
136#4939C2211yescharacteristic
137C4×(C2×D3)⋊C4C2211yescharacteristic
138C4×(C2×D3)⋊C4C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic
141C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
142C4×C4⋊Dic3C2211yescharacteristic, complemented
143C4×C4⋊Dic3C2211yescharacteristic, complemented
144#4933C2211yescharacteristic, complemented
145#4933C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147C4×Dic3⋊C4C2211yescharacteristic, complemented
148#4928C2211yescharacteristic, complemented
149#4670C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4670C2211yescharacteristic, complemented
153#4669C2211yescharacteristic
154#4669C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic, complemented
165#4666C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic, complemented
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4664C2211yescharacteristic, complemented
173D3×#95C2211yescharacteristic
174D3×#95C2211yescharacteristic
175#4655C2211yescharacteristic, complemented
176#4654C2211yescharacteristic, complemented
177#4653C2211yescharacteristic, complemented
178#4653C2211yescharacteristic, complemented
179#4653C2211yescharacteristic, complemented
180#4651C2211yescharacteristic, complemented
181#4651C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4648C2211yescharacteristic, complemented
184#4648C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, 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#2335D311yescharacteristic, complemented
210#2329—31no—
211#2326—31no—
212#2326—31no—
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×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#123C2×C418yescomplemented
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276#938C2×C418yescomplemented
277#937C2×C418yescomplemented
278D4×Dic3—42no—
279#930C2×C418yescomplemented
280C4×#67C2×C418yescomplemented
281C2×(C2×D3)⋊C4—42no—
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×C4⋊Dic3—42no—
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
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
343#898C2×C418yescomplemented
344#897C2×C418yescomplemented
345#894C2×C418yescomplemented
346#893—42no—
347#893C2×C418yescomplemented
348D3×C4⋊C4—42no—
349D3×C4⋊C4—42no—
350#885C2×C418yescomplemented
351#885C2×C418yescomplemented
352#884C2×C418yescomplemented
353#882C2×C418yescomplemented
354#67⋊C4—42no—
355#67⋊C4—42no—
356#67⋊C4—42no—
357#67⋊C4—42no—
358#67⋊C4—42no—
359D3×C22⋊C4—42no—
360D3×C22⋊C4—42no—
361D3×C22⋊C4—42no—
362D3×C22⋊C4C2×C418yescomplemented
363#879C2×C418yescomplemented
364C4×D12—42no—
365C4×D12—42no—
366C42×D3—42no—
367C4×Dic6—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×#124—31no—
413C2×#123—31no—
414C2×#123C2×D311yescharacteristic
415C2×C22⋊Q8—31no—
416C2×#121—31no—
417C2×#121—31no—
418C2×#121—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×Q8—31no—
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×D4—31no—
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#391—31no—
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#389C2×D311yescharacteristic, complemented
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#387C2×D311yescharacteristic, complemented
493#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
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#385—31no—
527#385—31no—
528#385—31no—
529#385C2×D311yescharacteristic
530#384—31no—
531#384—31no—
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#380C2×D311yescharacteristic, complemented
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊C4C2×D311yescharacteristic, complemented
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⋊C4C2×D311yescharacteristic
559C4×C22⋊C4C2×D311yescharacteristic, complemented
560#376—31no—
561#376—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×D4—41no—
577C2×C3×D4—41no—
578C2×C3×D4C22×C414yes—
579C22×C3×C4—41no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4C22×C414yes—
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
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
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—41no—
601C2×#67—41no—
602C2×#67—41no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67C22×C414yes—
607C2×#67C22×C414yes—
608C2×#67C22×C414yes—
609C2×#67C22×C414yes—
610C22×Dic3—22no—
611C22×Dic3—41no—
612C22×Dic3—41no—
613C22×Dic3—41no—
614C22×Dic3—41no—
615C22×Dic3—41no—
616C22×Dic3—41no—
617C22×Dic3—41no—
618C22×Dic3—41no—
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12C22×C414yes—
637C2×D12C22×C414yes—
638C2×C4×D3—22no—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—41no—
646C2×C4×D3—41no—
647C2×C4×D3—41no—
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×D3C22×C414yes—
669C2×C4×D3C22×C414yes—
670C2×C4×D3C22×C414yes—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C2×Dic6C22×C414yes—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4C22×C414yes—
680C3×C4⋊C4C22×C414yes—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—41no—
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×C42—22no—
692C3×C42—41no—
693C3×C42—41no—
694C3×C42—41no—
695C3×C42—41no—
696#217—22no—
697#217—41no—
698#217—41no—
699#217—41no—
700#217—41no—
701#217C22×C414yes—
702#217C22×C414yes—
703#217C22×C414yes—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—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)⋊C4C22×C414yes—
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—
728C4⋊Dic3—22no—
729C4⋊Dic3—22no—
730C4⋊Dic3—22no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3C22×C414yes—
736C4⋊Dic3C22×C414yes—
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⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4C22×C414yes—
750Dic3⋊C4C22×C414yes—
751C4×Dic3—22no—
752C4×Dic3—22no—
753C4×Dic3—22no—
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×Dic3C22×C414yes—
763C4×Dic3C22×C414yes—
764C25—31no—
765C22×Q8—31no—
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#124—38no—
793#123—38no—
794#123C4×D318yescomplemented
795C22⋊Q8—38no—
796#121—38no—
797#121—38no—
798#121—38no—
799#120—38no—
800#120—38no—
801C4×Q8—122no—
802C4×D4—38no—
803C4×D4—38no—
804C4×D4—122no—
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—31no—
836C2×C4⋊C4—122no—
837C2×C4⋊C4—122no—
838C2×C4⋊C4—122no—
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—31no—
857C2×C22⋊C4—38no—
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#95C22×D311yescharacteristic
943#95C22×D311yescharacteristic
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×D4—44no—
996C2×C3×C4—21no—
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—44no—
1030C2×C3×C4—82no—
1031C2×C3×C4C23×C412yes—
1032C2×C3×C4C23×C412yes—
1033C2×C3×C4C23×C412yes—
1034C2×C3×C4C23×C412yes—
1035C2×C3×C4C23×C412yes—
1036C2×C3×C4H(5,𝔽2)12yes—
1037#67—28no—
1038#67—44no—
1039#67—44no—
1040#67—44no—
1041C2×Dic3—21no—
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—82no—
1075C2×Dic3—82no—
1076C2×Dic3—82no—
1077C2×Dic3C23×C412yes—
1078C2×Dic3C23×C412yes—
1079C2×Dic3C23×C412yes—
1080C2×Dic3C23×C412yes—
1081C2×Dic3C23×C412yes—
1082C2×Dic3H(5,𝔽2)12yes—
1083D12—28no—
1084D12—44no—
1085C4×D3—44no—
1086C4×D3—44no—
1087C4×D3—44no—
1088C4×D3—44no—
1089C4×D3—44no—
1090C4×D3—82no—
1091C4×D3—82no—
1092C4×D3—82no—
1093C4×D3—82no—
1094C4×D3—82no—
1095C4×D3—82no—
1096Dic6—44no—
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—34no—
1110C2×Q8—121no—
1111C2×Q8—121no—
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—31no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—62no—
1155C22×C4—62no—
1156C22×C4—62no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—121no—
1163C22×C4—121no—
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×C4C2×C4×D314yes—
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—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
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⋊C4C2×C4×D314yes—
1236C4⋊C4C2×C4×D314yes—
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—34no—
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—62no—
1262C22⋊C4—62no—
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⋊C4C2×C4×D314yes—
1277C22⋊C4C2×C4×D314yes—
1278C22⋊C4C2×C4×D314yes—
1279C42—22no—
1280C42—34no—
1281C42—34no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C42—62no—
1287C42—62no—
1288C42—62no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
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—124no—
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—44no—
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—61no—
1490C2×C4—82no—
1491C2×C4—124no—
1492C2×C4—124no—
1493C2×C4—124no—
1494C2×C4—124no—
1495C2×C4—124no—
1496C2×C4—242no—
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#100912yes—
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×#100911yescharacteristic
1561C22#596411yescharacteristic
1562C22D3×H(5,𝔽2)11yescharacteristic
1563C22D3×H(5,𝔽2)11yescharacteristic
1564C22#596611yescharacteristic
1565C22D3×2−1+411yescharacteristic
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×#100911yescharacteristic
1599C2#8585711yescharacteristic
1600C2D3×#52011yescharacteristic
1601C2#8642611yescharacteristic
1602C2#8646011yescharacteristic
1603C2#8649111yescharacteristic
1604C2#8654011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2335C2
socle, cosocleC23×C3C25
prime radicalC2×#5657C2
hypercenter#2335D3
hypocenterC3#34426
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. C3×#2335C2semidirect
3. #82836C2semidirect
4. #76433C2semidirect
5. #76432C2semidirect
6. #76202C2semidirect
7. #75994C2semidirect
8. #75836C2semidirect
9. #75829C2semidirect
10. D3×#388C2semidirect
11. #75494C2semidirect
12. #75471C2semidirect
13. #75462C2semidirect
14. #75462C2semidirect
15. #75452C2semidirect
16. #75306C2semidirect
17. #75300C2semidirect
18. #75297C2semidirect
19. #74974C2semidirect
20. #74883C2semidirect
21. #74879C2semidirect
22. #74591C2semidirect
23. #74391C2semidirect
24. #74014C2semidirect
25. #74010C2semidirect
26. #73765C2semidirect
27. C4×#897C2semidirect
28. #73577C2semidirect
29. #73576C2semidirect
30. #73476C2semidirect
31. #73467C2semidirect
40. C22×C4⋊Dic3C22semidirect
41. #5657C4semidirect
48. C2×D3×C4⋊C4C22semidirect
57. C2×#67⋊C4C22semidirect
66. C2×C4×Dic6C22semidirect
68. C3×#389C22semidirect
71. C3×#388C22semidirect
72. C3×#388C22semidirect
73. C3×#387C22semidirect
74. C3×#387C22semidirect
77. C3×#380C22semidirect
78. C3×C4×C4⋊C4C22semidirect
80. C3×C4×C22⋊C4C22semidirect
83. #5211C22semidirect
87. #4990C22semidirect
88. #4990C22semidirect
94. #4989C22semidirect
97. #4984C22semidirect
98. #4984C22semidirect
99. #4980C22semidirect
100. #4980C22semidirect
101. #4976C22semidirect
102. #4975C22semidirect
103. #4975C22semidirect
104. Dic3×C4⋊C4C22semidirect
105. #4973C22semidirect
106. #4972C22semidirect
108. #4958C22semidirect
111. #4957C22semidirect
116. #4956C22semidirect
121. #4950C22semidirect
124. #4946C22semidirect
125. #4946C22semidirect
130. #4944C22semidirect
131. #4944C22semidirect
132. Dic3×C22⋊C4C22semidirect
135. #4940C22semidirect
141. C4×(C2×D3)⋊C4C22semidirect
142. C4×C4⋊Dic3C22semidirect
143. C4×C4⋊Dic3C22semidirect
144. #4933C22semidirect
145. #4933C22semidirect
146. #4933C22semidirect
147. C4×Dic3⋊C4C22semidirect
148. #4928C22semidirect
152. #4670C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
164. #4667C22semidirect
167. #4666C22semidirect
172. #4664C22semidirect
175. #4655C22semidirect
176. #4654C22semidirect
177. #4653C22semidirect
178. #4653C22semidirect
179. #4653C22semidirect
180. #4651C22semidirect
181. #4651C22semidirect
182. #4649C22semidirect
183. #4648C22semidirect
184. #4648C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
209. #2335D3semidirect
245. C3×#123C2×C4semidirect
276. #938C2×C4semidirect
277. #937C2×C4semidirect
279. #930C2×C4semidirect
280. C4×#67C2×C4semidirect
343. #898C2×C4semidirect
344. #897C2×C4semidirect
345. #894C2×C4semidirect
347. #893C2×C4semidirect
350. #885C2×C4semidirect
351. #885C2×C4semidirect
352. #884C2×C4semidirect
353. #882C2×C4semidirect
362. D3×C22⋊C4C2×C4semidirect
363. #879C2×C4semidirect
457. #389C2×D3semidirect
480. #388C2×D3semidirect
481. #388C2×D3semidirect
492. #387C2×D3semidirect
493. #387C2×D3semidirect
541. #380C2×D3semidirect
547. C4×C4⋊C4C2×D3semidirect
559. C4×C22⋊C4C2×D3semidirect
794. #123C4×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×#56572
C3×#23352
#828362
#764332
#764322
#762022
#759942
#758362
#758292
D3×#3882
#754942
#754712
#754622
#754522
#753062
#753002
#752972
#749742
#748832
#748792
#745912
#743912
#740142
#740102
#737652
C4×#8972
#735772
#735762
#734762
#734672
#344263