Finite Group Databasebeta

← #10958924

Subgroups — #10958924

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×#5560C211yesmaximal, characteristic
2C3×#2353C211yesmaximal, characteristic, complemented
3D4×C4⋊Dic3C211yesmaximal, characteristic, complemented
4#75490C211yesmaximal, characteristic, complemented
5#75477C211yesmaximal, characteristic, complemented
6#75472C211yesmaximal, characteristic, complemented
7#75462C211yesmaximal, characteristic, complemented
8#75297C211yesmaximal, characteristic, complemented
9#74980C211yesmaximal, characteristic, complemented
10#74974C211yesmaximal, characteristic, complemented
11#74956C211yesmaximal, characteristic, complemented
12#74879C211yesmaximal, characteristic, complemented
13#74879C211yesmaximal, characteristic, complemented
14#74666C211yesmaximal, characteristic, complemented
15#74660C211yesmaximal, characteristic, complemented
16#74299C211yesmaximal, characteristic, complemented
17#74262C211yesmaximal, characteristic, complemented
18#74124C211yesmaximal, characteristic, complemented
19#74056C211yesmaximal, characteristic, complemented
20#74010C211yesmaximal, characteristic, complemented
21#74005C211yesmaximal, characteristic, complemented
22#73577C211yesmaximal, characteristic, complemented
23#73577C211yesmaximal, characteristic, complemented
24#73467C211yesmaximal, characteristic, complemented
25#73451C211yesmaximal, characteristic, complemented
26#73447C211yesmaximal, characteristic, complemented
27C4×#878C211yesmaximal, characteristic, complemented
28#73396C211yesmaximal, characteristic, complemented
29#73387C211yesmaximal, characteristic, complemented
30#73336C211yesmaximal, characteristic, complemented
31C2×#4670C211yesmaximal, characteristic, complemented
32#34426—31nomaximal, Sylow
33C2×C3×C4×D4C2211yescharacteristic
34C2×#939C2211yescharacteristic
35C2×#937C2211yescharacteristic
36C2×D4×Dic3C2211yescharacteristic
37C2×D4×Dic3C2211yescharacteristic
38C2×#930C2211yescharacteristic
39C2×#929C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×C4⋊Dic3C2211yescharacteristic
45C22×C4⋊Dic3C2211yescharacteristic, complemented
46C22×C4×Dic3C2211yescharacteristic
47#5560C4116yescomplemented
48C2×#898C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic, complemented
51C2×#885C2211yescharacteristic
52C2×#884C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#67⋊C4C2211yescharacteristic
55C2×#67⋊C4C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic, complemented
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×#878C2211yescharacteristic
62C2×#876C2211yescharacteristic
63C2×#875C2211yescharacteristic
64C2×C4×D12C2211yescharacteristic
65C2×C4×D12C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic, complemented
67C3×#388C2211yescharacteristic, complemented
68C3×#388C2211yescharacteristic, complemented
69C3×#387C2211yescharacteristic, complemented
70C3×#387C2211yescharacteristic, complemented
71C3×#386C2211yescharacteristic
72C3×#386C2211yescharacteristic
73C3×#383C2211yescharacteristic, complemented
74C3×#381C2211yescharacteristic, complemented
75C3×#380C2211yescharacteristic
76C3×C4×C22⋊C4C2211yescharacteristic
77C3×C4×C22⋊C4C2211yescharacteristic
78C3×C4×C22⋊C4C2211yescharacteristic, complemented
79C3×#376C2211yescharacteristic, complemented
80C2×C3×#95C2211yescharacteristic
81#5213C2211yescharacteristic
82#5213C2211yescharacteristic
83#5212C2211yescharacteristic
84#5212C2211yescharacteristic, complemented
85C4×#217C2211yescharacteristic
86C4×#217C2211yescharacteristic
87C2×C3⋊#95C2211yescharacteristic
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4987C2211yescharacteristic, complemented
93#4984C2211yescharacteristic, complemented
94#4984C2211yescharacteristic, complemented
95#4975C2211yescharacteristic, complemented
96Dic3×C4⋊C4C2211yescharacteristic, complemented
97#4958C2211yescharacteristic
98#4958C2211yescharacteristic
99#4958C2211yescharacteristic, complemented
100#4957C2211yescharacteristic
101#4957C2211yescharacteristic
102#4957C2211yescharacteristic, complemented
103#4956C2211yescharacteristic
104#4956C2211yescharacteristic
105#4956C2211yescharacteristic, complemented
106#4950C2211yescharacteristic
107#4950C2211yescharacteristic
108#4950C2211yescharacteristic, complemented
109#4950C2211yescharacteristic, complemented
110#4946C2211yescharacteristic
111#4946C2211yescharacteristic
112#4946C2211yescharacteristic, complemented
113#4945C2211yescharacteristic, complemented
114#4944C2211yescharacteristic, complemented
115#4942C2211yescharacteristic
116#4942C2211yescharacteristic
117Dic3×C22⋊C4C2211yescharacteristic, complemented
118#4940C2211yescharacteristic
119#4940C2211yescharacteristic
120#4939C2211yescharacteristic
121#4939C2211yescharacteristic
122C4×(C2×D3)⋊C4C2211yescharacteristic
123C4×(C2×D3)⋊C4C2211yescharacteristic
124#4935C2211yescharacteristic, complemented
125C4×C4⋊Dic3C2211yescharacteristic, complemented
126C4×C4⋊Dic3C2211yescharacteristic, complemented
127#4933C2211yescharacteristic, complemented
128#4933C2211yescharacteristic, complemented
129C4×Dic3⋊C4C2211yescharacteristic, complemented
130C4×Dic3⋊C4C2211yescharacteristic, complemented
131#4929C2211yescharacteristic, complemented
132#4928C2211yescharacteristic, complemented
133#4670C2211yescharacteristic
134#4670C2211yescharacteristic
135#4670C2211yescharacteristic
136#4670C2211yescharacteristic
137#4670C2211yescharacteristic
138#4670C2211yescharacteristic
139#4670C2211yescharacteristic
140#4670C2211yescharacteristic
141#4670C2211yescharacteristic
142#4670C2211yescharacteristic
143#4670C2211yescharacteristic
144#4670C2211yescharacteristic
145#4670C2211yescharacteristic, complemented
146#4670C2211yescharacteristic, complemented
147#4670C2211yescharacteristic, complemented
148#4669C2211yescharacteristic
149#4669C2211yescharacteristic
150#4669C2211yescharacteristic, complemented
151#4668C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic, complemented
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4666C2211yescharacteristic
163#4666C2211yescharacteristic
164#4666C2211yescharacteristic, complemented
165#4666C2211yescharacteristic, complemented
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4664C2211yescharacteristic, complemented
171#4655C2211yescharacteristic, complemented
172#4655C2211yescharacteristic, complemented
173#4655C2211yescharacteristic, complemented
174#4655C2211yescharacteristic, complemented
175#4655C2211yescharacteristic, complemented
176#4654C2211yescharacteristic, complemented
177#4654C2211yescharacteristic, complemented
178#4652C2211yescharacteristic, complemented
179#4651C2211yescharacteristic, complemented
180#4649C2211yescharacteristic, complemented
181#4648C2211yescharacteristic, complemented
182#4647C2211yescharacteristic, complemented
183#4647C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, 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#2353D311yescharacteristic, complemented
204D4×C4⋊C4—31no—
205D4×C4⋊C4—31no—
206#2337—31no—
207#2337—31no—
208#2335—31no—
209#2335—31no—
210#2329—31no—
211#2326—31no—
212#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
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×C4×D4C2×C418yescomplemented
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C42C2311yescharacteristic
258C2×C3×C42C2311yescharacteristic
259C2×C3×C42C2311yescharacteristic
260C2×C3×C42C2311yescharacteristic
261C2×C3×C42C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268#939C2×C418yescomplemented
269#937C2×C418yescomplemented
270D4×Dic3—42no—
271D4×Dic3—42no—
272#930C2×C418yescomplemented
273#929C2×C418yescomplemented
274C4×#67C2×C418yescomplemented
275C2×(C2×D3)⋊C4—42no—
276C2×(C2×D3)⋊C4—42no—
277C2×(C2×D3)⋊C4C2×C418yescomplemented
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
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⋊Dic3—42no—
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×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
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×Dic3—42no—
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
348C2×C4×Dic3C2311yescharacteristic
349#898C2×C418yescomplemented
350#894C2×C418yescomplemented
351D3×C4⋊C4—42no—
352#885C2×C418yescomplemented
353#884C2×C418yescomplemented
354#882C2×C418yescomplemented
355#67⋊C4—42no—
356#67⋊C4—42no—
357#67⋊C4—42no—
358#67⋊C4—42no—
359#67⋊C4—42no—
360D3×C22⋊C4—42no—
361D3×C22⋊C4—42no—
362#878C2×C418yescomplemented
363#876C2×C418yescomplemented
364#875C2×C418yescomplemented
365C4×D12—42no—
366C4×D12—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×#123—31no—
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×D4C2×D311yescharacteristic
433C22×C4⋊C4—31no—
434C22×C4⋊C4—31no—
435C22×C4⋊C4—31no—
436C22×C22⋊C4—31no—
437C22×C22⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4—31no—
440C22×C22⋊C4—31no—
441C22×C42—31no—
442#391—31no—
443#391—31no—
444#391—31no—
445#390—31no—
446#390—31no—
447#390—31no—
448#390—31no—
449#390—31no—
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389—31no—
455#389—31no—
456#389—31no—
457#389—31no—
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
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#386C2×D311yescharacteristic
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#385—31no—
530#384—31no—
531#384—31no—
532#383—31no—
533#383C2×D311yescharacteristic, complemented
534#381—31no—
535#381C2×D311yescharacteristic, complemented
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380C2×D311yescharacteristic
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4C2×D311yescharacteristic
558C4×C22⋊C4C2×D311yescharacteristic
559C4×C22⋊C4C2×D311yescharacteristic, complemented
560#376—31no—
561#376C2×D311yescharacteristic, complemented
562C2×#95—31no—
563C2×#95C2×D311yescharacteristic
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—22no—
577C2×C3×D4—22no—
578C2×C3×D4C22×C414yes—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4—41no—
589C22×C3×C4C22×C414yes—
590C22×C3×C4C22×C414yes—
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
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67C22×C414yes—
613C2×#67C22×C414yes—
614C2×#67C22×C414yes—
615C2×#67C22×C414yes—
616C22×Dic3—22no—
617C22×Dic3—22no—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—41no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3C22×C414yes—
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12C22×C414yes—
649C2×D12C22×C414yes—
650C2×C4×D3—22no—
651C2×C4×D3—41no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3C22×C414yes—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C2×Dic6C22×C414yes—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4C22×C414yes—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4C22×C414yes—
684C3×C22⋊C4C22×C414yes—
685C3×C42—22no—
686C3×C42—41no—
687C3×C42—41no—
688C3×C42—41no—
689C3×C42C22×C414yes—
690#217—22no—
691#217—22no—
692#217—41no—
693#217—41no—
694#217C22×C414yes—
695#217C22×C414yes—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4—41no—
705(C2×D3)⋊C4—41no—
706(C2×D3)⋊C4—41no—
707(C2×D3)⋊C4—41no—
708(C2×D3)⋊C4—41no—
709(C2×D3)⋊C4—41no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4C22×C414yes—
715(C2×D3)⋊C4C22×C414yes—
716(C2×D3)⋊C4C22×C414yes—
717(C2×D3)⋊C4C22×C414yes—
718(C2×D3)⋊C4C22×C414yes—
719(C2×D3)⋊C4C22×C414yes—
720(C2×D3)⋊C4C22×C414yes—
721(C2×D3)⋊C4C22×C414yes—
722(C2×D3)⋊C4C22×C414yes—
723(C2×D3)⋊C4C22×C414yes—
724C4⋊Dic3—22no—
725C4⋊Dic3—22no—
726C4⋊Dic3—22no—
727C4⋊Dic3—41no—
728C4⋊Dic3—41no—
729C4⋊Dic3—41no—
730C4⋊Dic3—41no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
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⋊C4C22×C414yes—
748Dic3⋊C4C22×C414yes—
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×Dic3—41no—
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×C4C22×D311yescharacteristic
786C23×C4C22×D311yescharacteristic
787C23×C4C22×D311yescharacteristic
788C23×C4C22×D311yescharacteristic
789#126—38no—
790#126—38no—
791#124—38no—
792#124—38no—
793#123—38no—
794#123—38no—
795C22⋊Q8—38no—
796#121—38no—
797#121—38no—
798#121—38no—
799#120—38no—
800#120—38no—
801C4×Q8—122no—
802C4×D4—38no—
803C4×D4—122no—
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×D4C4×D318yescomplemented
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—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×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—38no—
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—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—122no—
882C2×C22⋊C4—122no—
883C2×C22⋊C4—122no—
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×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#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
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×C3C23×C412yes—
963C23×C3C23×C412yes—
964C23×C3H(5,𝔽2)12yes—
965C23×C32−1+412yes—
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—21no—
984C22×D3—21no—
985C22×D3—28no—
986C22×D3—44no—
987C22×D3—44no—
988C22×D3—82no—
989C22×D3—82no—
990C22×D3—82no—
991C22×D3—82no—
992C22×D3C23×C412yes—
993C22×D3C23×C412yes—
994C22×D3C23×C412yes—
995C3×D4—28no—
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—44no—
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×Dic3—82no—
1080C2×Dic3—82no—
1081C2×Dic3C23×C412yes—
1082C2×Dic3C23×C412yes—
1083C2×Dic3C23×C412yes—
1084C2×Dic3C23×C412yes—
1085C2×Dic3C23×C412yes—
1086C2×Dic3H(5,𝔽2)12yes—
1087D12—44no—
1088D12—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—22no—
1113C2×D4—22no—
1114C2×D4—34no—
1115C2×D4—34no—
1116C2×D4—34no—
1117C2×D4—34no—
1118C2×D4—34no—
1119C2×D4—34no—
1120C2×D4—62no—
1121C2×D4—62no—
1122C2×D4—121no—
1123C2×D4—121no—
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—22no—
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—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
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×C4C2×C4×D314yes—
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—34no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—121no—
1219C4⋊C4—121no—
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⋊C4—121no—
1236C4⋊C4C2×C4×D314yes—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
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—34no—
1251C22⋊C4—34no—
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—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—
1279C42—22no—
1280C42—34no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—62no—
1285C42—62no—
1286C42—62no—
1287C42—121no—
1288C42—121no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42C2×C4×D314yes—
1297C22×C3—22no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3#52014yes—
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—41no—
1328C2×D3—41no—
1329C2×D3—41no—
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—41no—
1339C2×D3—88no—
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—32no—
1377C23—32no—
1378C23—32no—
1379C23—61no—
1380C23—61no—
1381C23—61no—
1382C23—61no—
1383C23—61no—
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—68no—
1398C23—124no—
1399C23—124no—
1400C23—242no—
1401C23—242no—
1402C23—242no—
1403C23—242no—
1404C23C22×C4×D312yes—
1405C23C22×C4×D312yes—
1406C23#100912yes—
1407C23#101012yes—
1408C23C24×D311yescharacteristic
1409Q8—124no—
1410D4—28no—
1411D4—68no—
1412D4—124no—
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—44no—
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—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—24no—
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—42no—
1521D3—42no—
1522D3—42no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—62no—
1537C22—62no—
1538C22—62no—
1539C22—62no—
1540C22—62no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—121no—
1546C22—121no—
1547C22—121no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—248no—
1558C22#552314yes—
1559C22C23×C4×D311yescharacteristic
1560C22C2×#100911yescharacteristic
1561C22C2×#100911yescharacteristic
1562C22C2×#101011yescharacteristic
1563C22#596411yescharacteristic
1564C22D3×H(5,𝔽2)11yescharacteristic
1565C22#596611yescharacteristic
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—24no—
1594C2—42no—
1595C2—122no—
1596C2—122no—
1597C2—122no—
1598C2C2×#552311yescharacteristic
1599C2C4×#100911yescharacteristic
1600C2#8585711yescharacteristic
1601C2#8680211yescharacteristic
1602C2#8680811yescharacteristic
1603C2#8690111yescharacteristic
1604C2#8691611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2353C2
socle, cosocleC23×C3C25
prime radicalC2×#5560C2
hypercenter#2353D3
hypocenterC3#34426
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. C3×#2353C2semidirect
3. D4×C4⋊Dic3C2semidirect
4. #75490C2semidirect
5. #75477C2semidirect
6. #75472C2semidirect
7. #75462C2semidirect
8. #75297C2semidirect
9. #74980C2semidirect
10. #74974C2semidirect
11. #74956C2semidirect
12. #74879C2semidirect
13. #74879C2semidirect
14. #74666C2semidirect
15. #74660C2semidirect
16. #74299C2semidirect
17. #74262C2semidirect
18. #74124C2semidirect
19. #74056C2semidirect
20. #74010C2semidirect
21. #74005C2semidirect
22. #73577C2semidirect
23. #73577C2semidirect
24. #73467C2semidirect
25. #73451C2semidirect
26. #73447C2semidirect
27. C4×#878C2semidirect
28. #73396C2semidirect
29. #73387C2semidirect
30. #73336C2semidirect
31. C2×#4670C2semidirect
45. C22×C4⋊Dic3C22semidirect
47. #5560C4semidirect
50. C2×D3×C4⋊C4C22semidirect
58. C2×#67⋊C4C22semidirect
66. C2×C4×Dic6C22semidirect
67. C3×#388C22semidirect
68. C3×#388C22semidirect
69. C3×#387C22semidirect
70. C3×#387C22semidirect
73. C3×#383C22semidirect
74. C3×#381C22semidirect
78. C3×C4×C22⋊C4C22semidirect
79. C3×#376C22semidirect
84. #5212C22semidirect
92. #4987C22semidirect
93. #4984C22semidirect
94. #4984C22semidirect
95. #4975C22semidirect
96. Dic3×C4⋊C4C22semidirect
99. #4958C22semidirect
102. #4957C22semidirect
105. #4956C22semidirect
108. #4950C22semidirect
109. #4950C22semidirect
112. #4946C22semidirect
113. #4945C22semidirect
114. #4944C22semidirect
117. Dic3×C22⋊C4C22semidirect
124. #4935C22semidirect
125. C4×C4⋊Dic3C22semidirect
126. C4×C4⋊Dic3C22semidirect
127. #4933C22semidirect
128. #4933C22semidirect
129. C4×Dic3⋊C4C22semidirect
130. C4×Dic3⋊C4C22semidirect
131. #4929C22semidirect
132. #4928C22semidirect
145. #4670C22semidirect
146. #4670C22semidirect
147. #4670C22semidirect
150. #4669C22semidirect
159. #4668C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
164. #4666C22semidirect
165. #4666C22semidirect
170. #4664C22semidirect
171. #4655C22semidirect
172. #4655C22semidirect
173. #4655C22semidirect
174. #4655C22semidirect
175. #4655C22semidirect
176. #4654C22semidirect
177. #4654C22semidirect
178. #4652C22semidirect
179. #4651C22semidirect
180. #4649C22semidirect
181. #4648C22semidirect
182. #4647C22semidirect
183. #4647C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
203. #2353D3semidirect
245. C3×C4×D4C2×C4semidirect
268. #939C2×C4semidirect
269. #937C2×C4semidirect
272. #930C2×C4semidirect
273. #929C2×C4semidirect
274. C4×#67C2×C4semidirect
277. C2×(C2×D3)⋊C4C2×C4semidirect
349. #898C2×C4semidirect
350. #894C2×C4semidirect
352. #885C2×C4semidirect
353. #884C2×C4semidirect
354. #882C2×C4semidirect
362. #878C2×C4semidirect
363. #876C2×C4semidirect
364. #875C2×C4semidirect
480. #388C2×D3semidirect
481. #388C2×D3semidirect
492. #387C2×D3semidirect
493. #387C2×D3semidirect
533. #383C2×D3semidirect
535. #381C2×D3semidirect
559. C4×C22⋊C4C2×D3semidirect
561. #376C2×D3semidirect
812. C4×D4C4×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×#55602
C3×#23532
D4×C4⋊Dic32
#754902
#754772
#754722
#754622
#752972
#749802
#749742
#749562
#748792
#746662
#746602
#742992
#742622
#741242
#740562
#740102
#740052
#735772
#734672
#734512
#734472
C4×#8782
#733962
#733872
#733362
C2×#46702
#344263