Finite Group Databasebeta

← #11635308

Subgroups — #11635308

Order 768.

2576 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5706C211yesmaximal, characteristic, complemented
2C2×#5654C211yesmaximal, characteristic
3C3×#2553C211yesmaximal, characteristic, complemented
4#83081C211yesmaximal, characteristic, complemented
5#82854C211yesmaximal, characteristic, complemented
6#78101C211yesmaximal, characteristic, complemented
7#78023C211yesmaximal, characteristic, complemented
8#77982C211yesmaximal, characteristic, complemented
9#77744C211yesmaximal, characteristic, complemented
10#77696C211yesmaximal, characteristic, complemented
11#77467C211yesmaximal, characteristic, complemented
12#76905C211yesmaximal, characteristic, complemented
13#76899C211yesmaximal, characteristic, complemented
14#76228C211yesmaximal, characteristic, complemented
15#75995C211yesmaximal, characteristic, complemented
16#75923C211yesmaximal, characteristic, complemented
17#75481C211yesmaximal, characteristic, complemented
18#75357C211yesmaximal, characteristic, complemented
19#74940C211yesmaximal, characteristic, complemented
20#74927C211yesmaximal, characteristic, complemented
21#74878C211yesmaximal, characteristic, complemented
22#74595C211yesmaximal, characteristic, complemented
23#74411C211yesmaximal, characteristic, complemented
24#74231C211yesmaximal, characteristic, complemented
25#74164C211yesmaximal, characteristic, complemented
26#74021C211yesmaximal, characteristic, complemented
27#73937C211yesmaximal, characteristic, complemented
28#73596C211yesmaximal, characteristic, complemented
29#73575C211yesmaximal, characteristic, complemented
30#73563C211yesmaximal, characteristic, complemented
31#73470C211yesmaximal, characteristic, complemented
32#59103—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41#5706—28no—
42#5654—28no—
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic, complemented
46C2×#895C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic, complemented
50C2×#893C2211yescharacteristic
51C2×#893C2211yescharacteristic, complemented
52C2×#892C2211yescharacteristic, complemented
53C2×#889C2211yescharacteristic, complemented
54C2×#888C2211yescharacteristic, complemented
55C2×#887C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#883C2211yescharacteristic, complemented
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic, complemented
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#877C2211yescharacteristic, complemented
69C2×#876C2211yescharacteristic, complemented
70C2×#872C2211yescharacteristic, complemented
71C2×C42×D3C2211yescharacteristic, complemented
72C3×#399C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#389C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#387C2211yescharacteristic, complemented
79C3×#386C2211yescharacteristic
80C3×#385C2211yescharacteristic, complemented
81C3×#382C2211yescharacteristic, complemented
82C3×#380C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic, complemented
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85#5222C2211yescharacteristic
86#5220C2211yescharacteristic
87#5213C2211yescharacteristic, complemented
88#5212C2211yescharacteristic, complemented
89#5210C2211yescharacteristic, complemented
90C4×#217C2211yescharacteristic, complemented
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic, complemented
93#4993C2211yescharacteristic, complemented
94#4992C2211yescharacteristic
95#4992C2211yescharacteristic, complemented
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic, complemented
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4987C2211yescharacteristic, complemented
107#4985C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4959C2211yescharacteristic, complemented
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic, complemented
121#4956C2211yescharacteristic, complemented
122#4956C2211yescharacteristic, complemented
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4952C2211yescharacteristic, complemented
130#4952C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4951C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135#4946C2211yescharacteristic, complemented
136#4946C2211yescharacteristic, complemented
137#4944C2211yescharacteristic, complemented
138#4943C2211yescharacteristic, complemented
139#4942C2211yescharacteristic, complemented
140Dic3×C22⋊C4C2211yescharacteristic, complemented
141#4940C2211yescharacteristic
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic
144#4940C2211yescharacteristic, complemented
145#4939C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4675C2211yescharacteristic, complemented
156#4675C2211yescharacteristic, complemented
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic
159#4672C2211yescharacteristic, complemented
160#4670C2211yescharacteristic
161#4670C2211yescharacteristic
162#4670C2211yescharacteristic
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic
169#4666C2211yescharacteristic
170#4666C2211yescharacteristic
171#4666C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#529—31no—
192#2708—31no—
193#2708—31no—
194#2697—31no—
195#2697—31no—
196#2553—31no—
197#2553D311yescharacteristic, complemented
198#2547—31no—
199#2489—31no—
200#2480—31no—
201#2480—31no—
202#2470—31no—
203#2470—31no—
204#2454—31no—
205#2447—31no—
206#2435—31no—
207#2432—31no—
208#2429—31no—
209#2420—31no—
210#2420—31no—
211#2418—31no—
212#2418—31no—
213#2415—31no—
214#2367—31no—
215#2363—31no—
216#2342—31no—
217#2342—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220#2297—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×D3×D4—24no—
233C2×D3×D4—24no—
234C2×D3×D4—42no—
235C2×#235—24no—
236C2×#235—24no—
237C2×#235—42no—
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#126—24no—
253C3×#123—24no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#939—24no—
285C4×#67—42no—
286C2×(C2×D3)⋊C4—24no—
287C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#896—24no—
355#896—24no—
356#896—42no—
357#895—24no—
358#894—24no—
359#894—24no—
360#894—24no—
361#893—24no—
362#893—24no—
363#892—24no—
364#889—24no—
365#888—42no—
366#887—24no—
367#885—24no—
368#885—24no—
369#885—24no—
370#884D418yes—
371#883—24no—
372#882—24no—
373#882—24no—
374#67⋊C4—24no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—24no—
379#877—24no—
380#876—24no—
381#872—42no—
382C42×D3—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C23×D4—31no—
419#546—68no—
420C2×C4⋊Q8—31no—
421#529—68no—
422C2×#126—31no—
423C2×#126C2×D311yescharacteristic, complemented
424C2×#125—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123C2×D311yescharacteristic
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×#117—31no—
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399C2×D311yescharacteristic, complemented
460#398—31no—
461#398C2×D311yescharacteristic, complemented
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397C2×D311yescharacteristic, complemented
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394C2×D311yescharacteristic
488#391—31no—
489#391—31no—
490#391—31no—
491#391—31no—
492#390—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389C2×D311yescharacteristic, complemented
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388C2×D311yescharacteristic, complemented
518#387—31no—
519#387C2×D311yescharacteristic, complemented
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386C2×D311yescharacteristic
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385C2×D311yescharacteristic, complemented
542#382—31no—
543#382C2×D311yescharacteristic, complemented
544#381—31no—
545#381—31no—
546#381—31no—
547#380—31no—
548#380—31no—
549#380—31no—
550#380—31no—
551#380—31no—
552#380—31no—
553#380C2×D311yescharacteristic, complemented
554#379—31no—
555#379—31no—
556#379—31no—
557#379—31no—
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4C2×D311yescharacteristic, complemented
573C4×C22⋊C4C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
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×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67C2×D414yes—
626C2×#67C2×D414yes—
627C2×#67#4114yes—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646D3×D4—416no—
647#235—416no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12C2×D414yes—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
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—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
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×D3C2×D414yes—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—22no—
689C2×Dic6—22no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4C2×D414yes—
709C3×C42—22no—
710C3×C42—41no—
711C3×C42—41no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
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—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
755(C2×D3)⋊C4#4114yescomplemented
756C4⋊Dic3—22no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4C2×D414yes—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C25—31no—
788C2×#41—64no—
789C2×#41—64no—
790C2×#41—122no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—64no—
802C22×D4—64no—
803C22×D4—122no—
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817C4⋊Q8—122no—
818#126—24no—
819#126—64no—
820#125—64no—
821#124—64no—
822#124—64no—
823#124—64no—
824#123—24no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—122no—
832#121—38no—
833#121—64no—
834#121—64no—
835#120—64no—
836#120—64no—
837C4×Q8—64no—
838C4×D4—64no—
839C4×D4—64no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—122no—
844#117—64no—
845#117—64no—
846#117—122no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
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—64no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—64no—
923C2×C22⋊C4—64no—
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944C2×C42—64no—
945C2×C42C22×D311yescharacteristic
946C2×C42C22×D311yescharacteristic
947C2×C42C22×D311yescharacteristic
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#95—31no—
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
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3C22×D412yes—
995C23×C3C2×#4112yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
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—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3—82no—
1035C22×D3C22×D412yes—
1036C22×D3C22×D412yes—
1037C22×D3C2×#4112yes—
1038C22×D3C2×#4112yes—
1039C3×D4—44no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
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—44no—
1077C2×C3×C4—82no—
1078C2×C3×C4C22×D412yes—
1079C2×C3×C4C22×D412yes—
1080C2×C3×C4C2×#4112yes—
1081#67—28no—
1082#67—28no—
1083#67—44no—
1084#67—44no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
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—44no—
1117C2×Dic3—82no—
1118C2×Dic3C22×D412yes—
1119C2×Dic3C22×D412yes—
1120C2×Dic3C2×#4112yes—
1121C2×Dic3C2×#4112yes—
1122C2×Dic3H(5,𝔽2)12yes—
1123D12—44no—
1124D12—44no—
1125D12—44no—
1126D12—44no—
1127C4×D3—28no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—44no—
1133C4×D3—82no—
1134C4×D3—82no—
1135Dic6—44no—
1136Dic6—44no—
1137C24—31no—
1138C24—31no—
1139C24—31no—
1140C24—31no—
1141C24—62no—
1142C24—62no—
1143C24—62no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—121no—
1148C24—121no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157#41—1216no—
1158C2×Q8—62no—
1159C2×Q8—62no—
1160C2×Q8—62no—
1161C2×Q8—62no—
1162C2×Q8—62no—
1163C2×Q8—62no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—34no—
1167C2×D4—34no—
1168C2×D4—34no—
1169C2×D4—34no—
1170C2×D4—41no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—1216no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—34no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—34no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—34no—
1289C22⋊C4—34no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4D3×D414yes—
1336C42—22no—
1337C42—41no—
1338C42—41no—
1339C42—62no—
1340C42—62no—
1341C42—62no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—121no—
1348C42—121no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3C23×D411yescharacteristic
1364C22×C3C22×#4111yescharacteristic
1365C22×C3C22×#4111yescharacteristic
1366C22×C3C2×H(5,𝔽2)11yescharacteristic
1367C22×C3#58511yescharacteristic
1368C22×C3#58511yescharacteristic
1369C22×C3#58511yescharacteristic
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—88no—
1399C2×D3—88no—
1400C3×C4—22no—
1401C3×C4—22no—
1402C3×C4—22no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413Dic3—22no—
1414Dic3—22no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3#54614yes—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—32no—
1438C23—32no—
1439C23—32no—
1440C23—32no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23—124no—
1471C23—242no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23—242no—
1479C23C2×D3×D412yes—
1480C23D3×#4112yes—
1481C23C24×D311yescharacteristic
1482Q8—124no—
1483Q8—124no—
1484D4—44no—
1485D4—68no—
1486D4—68no—
1487D4—124no—
1488D4—124no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
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—32no—
1530C2×C4—32no—
1531C2×C4—32no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—44no—
1535C2×C4—68no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
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—82no—
1568C2×C4—124no—
1569C2×C4—124no—
1570C2×C4—124no—
1571C2×C4—124no—
1572C2×C4—124no—
1573C2×C4—124no—
1574C2×C4—242no—
1575C2×C4—242no—
1576C2×C4—242no—
1577C2×C4C2×D3×D412yes—
1578C2×C4C2×D3×D412yes—
1579C2×C4D3×#4112yes—
1580C2×C3—42no—
1581C2×C3—42no—
1582C2×C3C2×#54611yescharacteristic
1583C2×C3D4×#4111yescharacteristic
1584C2×C3#347511yescharacteristic
1585C2×C3#348511yescharacteristic
1586C2×C3#351411yescharacteristic
1587C2×C3#352111yescharacteristic
1588C2×C3#356211yescharacteristic
1589D3—42no—
1590D3—42no—
1591D3—42no—
1592D3—42no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—248no—
1636C22—248no—
1637C22C22×D3×D411yescharacteristic
1638C22C2×D3×#4111yescharacteristic
1639C22C2×D3×#4111yescharacteristic
1640C22#596411yescharacteristic
1641C22#596411yescharacteristic
1642C22D3×H(5,𝔽2)11yescharacteristic
1643C22#596811yescharacteristic
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—34no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—62no—
1659C4—62no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C3#5910311yescharacteristic, complemented, Sylow
1670C2—42no—
1671C2—42no—
1672C2—122no—
1673C2—122no—
1674C2—122no—
1675C2—122no—
1676C2#8616811yescharacteristic
1677C2#8623811yescharacteristic
1678C2#8644411yescharacteristic
1679C2D3×#54611yescharacteristic
1680C2#8670011yescharacteristic
1681C2#8679711yescharacteristic
1682C2#8682711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2553C2
prime radicalC2×#5654C2
hypercenter#2553D3
hypocenterC3#59103
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2553

Complements

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

NH ≅ G/Ntype
1. C2×#5706C2semidirect
3. C3×#2553C2semidirect
4. #83081C2semidirect
5. #82854C2semidirect
6. #78101C2semidirect
7. #78023C2semidirect
8. #77982C2semidirect
9. #77744C2semidirect
10. #77696C2semidirect
11. #77467C2semidirect
12. #76905C2semidirect
13. #76899C2semidirect
14. #76228C2semidirect
15. #75995C2semidirect
16. #75923C2semidirect
17. #75481C2semidirect
18. #75357C2semidirect
19. #74940C2semidirect
20. #74927C2semidirect
21. #74878C2semidirect
22. #74595C2semidirect
23. #74411C2semidirect
24. #74231C2semidirect
25. #74164C2semidirect
26. #74021C2semidirect
27. #73937C2semidirect
28. #73596C2semidirect
29. #73575C2semidirect
30. #73563C2semidirect
31. #73470C2semidirect
35. C2×C3×#126C22semidirect
45. C2×#896C22semidirect
49. C2×#894C22semidirect
51. C2×#893C22semidirect
52. C2×#892C22semidirect
53. C2×#889C22semidirect
54. C2×#888C22semidirect
55. C2×#887C22semidirect
60. C2×#883C22semidirect
65. C2×#67⋊C4C22semidirect
68. C2×#877C22semidirect
69. C2×#876C22semidirect
70. C2×#872C22semidirect
71. C2×C42×D3C22semidirect
72. C3×#399C22semidirect
73. C3×#398C22semidirect
74. C3×#397C22semidirect
76. C3×#389C22semidirect
77. C3×#388C22semidirect
78. C3×#387C22semidirect
80. C3×#385C22semidirect
81. C3×#382C22semidirect
82. C3×#380C22semidirect
83. C3×C4×C22⋊C4C22semidirect
84. C3×C4×C22⋊C4C22semidirect
87. #5213C22semidirect
88. #5212C22semidirect
89. #5210C22semidirect
90. C4×#217C22semidirect
92. #4994C22semidirect
93. #4993C22semidirect
95. #4992C22semidirect
98. #4991C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4987C22semidirect
107. #4985C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
110. #4976C22semidirect
111. #4976C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4972C22semidirect
114. #4961C22semidirect
115. #4959C22semidirect
120. #4957C22semidirect
121. #4956C22semidirect
122. #4956C22semidirect
129. #4952C22semidirect
130. #4952C22semidirect
131. #4952C22semidirect
132. #4951C22semidirect
133. #4950C22semidirect
134. #4948C22semidirect
135. #4946C22semidirect
136. #4946C22semidirect
137. #4944C22semidirect
138. #4943C22semidirect
139. #4942C22semidirect
140. Dic3×C22⋊C4C22semidirect
144. #4940C22semidirect
145. #4939C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×Dic3⋊C4C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4675C22semidirect
156. #4675C22semidirect
159. #4672C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
171. #4666C22semidirect
172. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. #4660C22semidirect
182. #4657C22semidirect
183. #4650C22semidirect
184. #4649C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
197. #2553D3semidirect
423. C2×#126C2×D3semidirect
459. #399C2×D3semidirect
461. #398C2×D3semidirect
473. #397C2×D3semidirect
503. #389C2×D3semidirect
517. #388C2×D3semidirect
519. #387C2×D3semidirect
541. #385C2×D3semidirect
543. #382C2×D3semidirect
553. #380C2×D3semidirect
572. C4×C22⋊C4C2×D3semidirect
573. C4×C22⋊C4C2×D3semidirect
755. (C2×D3)⋊C4#41semidirect
1669. C3#59103semidirect

Maximal subgroups

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

subgroupindex
C2×#57062
C2×#56542
C3×#25532
#830812
#828542
#781012
#780232
#779822
#777442
#776962
#774672
#769052
#768992
#762282
#759952
#759232
#754812
#753572
#749402
#749272
#748782
#745952
#744112
#742312
#741642
#740212
#739372
#735962
#735752
#735632
#734702
#591033