Finite Group Databasebeta

← #11635444

Subgroups — #11635444

Order 768.

2386 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5637C211yesmaximal, characteristic, complemented
2C2×#5624C211yesmaximal, characteristic, complemented
3C3×#2440C211yesmaximal, characteristic, complemented
4#83257C211yesmaximal, characteristic, complemented
5#83254C211yesmaximal, characteristic, complemented
6#82816C211yesmaximal, characteristic, complemented
7#82765C211yesmaximal, characteristic, complemented
8#82195C211yesmaximal, characteristic, complemented
9C2×#4990C211yesmaximal, characteristic, complemented
10#77948C211yesmaximal, characteristic, complemented
11#77849C211yesmaximal, characteristic, complemented
12#77763C211yesmaximal, characteristic, complemented
13#77759C211yesmaximal, characteristic, complemented
14#77222C211yesmaximal, characteristic, complemented
15#77182C211yesmaximal, characteristic, complemented
16#77181C211yesmaximal, characteristic, complemented
17#77176C211yesmaximal, characteristic, complemented
18#76226C211yesmaximal, characteristic, complemented
19#76204C211yesmaximal, characteristic, complemented
20#76132C211yesmaximal, characteristic, complemented
21#76051C211yesmaximal, characteristic, complemented
22#74605C211yesmaximal, characteristic
23#74602C211yesmaximal, characteristic, complemented
24#74394C211yesmaximal, characteristic, complemented
25#74378C211yesmaximal, characteristic, complemented
26#74372C211yesmaximal, characteristic, complemented
27#74324C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73926C211yesmaximal, characteristic, complemented
30#73577C211yesmaximal, characteristic, complemented
31#73464C211yesmaximal, characteristic, complemented
32#59108—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic, complemented
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C22×C3×C4⋊C4C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×Q8×Dic3C2211yescharacteristic, complemented
42C2×#930C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×C4×Dic3C2211yescharacteristic
48#5637—28no—
49#5624—28no—
50C2×#898C2211yescharacteristic
51C2×#898C2211yescharacteristic
52C2×#898C2211yescharacteristic, complemented
53C2×#898C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic, complemented
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic, complemented
61C2×#892C2211yescharacteristic
62C2×#892C2211yescharacteristic, complemented
63C2×#892C2211yescharacteristic, complemented
64C2×#890C2211yescharacteristic, complemented
65C2×#886C2211yescharacteristic
66C2×#886C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#877C2211yescharacteristic
74C2×#877C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#395C2211yescharacteristic, complemented
79C3×#395C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#389C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#384C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic
86C3×C4×C22⋊C4C2211yescharacteristic
87#5231C2211yescharacteristic
88#5231C2211yescharacteristic, complemented
89#5229C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5210C2211yescharacteristic
94C2×C3⋊#95C2211yescharacteristic
95C2×C3⋊#95C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic
103#4993C2211yescharacteristic
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4992C2211yescharacteristic, complemented
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic
112#4990C2211yescharacteristic
113#4990C2211yescharacteristic
114#4990C2211yescharacteristic
115#4990C2211yescharacteristic
116#4990C2211yescharacteristic
117#4990C2211yescharacteristic
118#4990C2211yescharacteristic
119#4990C2211yescharacteristic, complemented
120#4990C2211yescharacteristic, complemented
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic
123#4989C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4989C2211yescharacteristic, complemented
126#4988C2211yescharacteristic
127#4988C2211yescharacteristic
128#4988C2211yescharacteristic
129#4987C2211yescharacteristic
130#4987C2211yescharacteristic, complemented
131#4987C2211yescharacteristic, complemented
132#4985C2211yescharacteristic, complemented
133#4982C2211yescharacteristic, complemented
134#4982C2211yescharacteristic, complemented
135#4982C2211yescharacteristic, complemented
136#4980C2211yescharacteristic, complemented
137#4980C2211yescharacteristic, complemented
138#4978C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4976C2211yescharacteristic, complemented
142Dic3×C4⋊C4C2211yescharacteristic, complemented
143Dic3×C4⋊C4C2211yescharacteristic, complemented
144Dic3×C4⋊C4C2211yescharacteristic, complemented
145#4958C2211yescharacteristic
146#4955C2211yescharacteristic
147#4950C2211yescharacteristic
148#4950C2211yescharacteristic
149#4946C2211yescharacteristic
150#4942C2211yescharacteristic
151#4940C2211yescharacteristic
152#4940C2211yescharacteristic, complemented
153#4939C2211yescharacteristic
154C4×(C2×D3)⋊C4C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic3C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4675C2211yescharacteristic, complemented
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4671C2211yescharacteristic
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic, complemented
170#4669C2211yescharacteristic
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179D3×#95C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2727—31no—
193#2723—31no—
194#2718—31no—
195#2695—31no—
196#2519—31no—
197#2498—31no—
198#2491—31no—
199#2479—31no—
200#2475—31no—
201#2474—31no—
202#2469—31no—
203#2461—31no—
204#2455—31no—
205#2450—31no—
206#2443—31no—
207#2440D311yescharacteristic, complemented
208#2437—31no—
209#2429—31no—
210#2425—31no—
211#2424—31no—
212#2418—31no—
213#2411—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217#2354—31no—
218#2349—31no—
219#2296—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C3×C4⋊Q8—42no—
244C3×C22⋊Q8—24no—
245C3×C22⋊Q8—24no—
246C2×C3×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271#947—24no—
272#947—24no—
273#946—24no—
274#946—42no—
275Q8×Dic3—24no—
276#930—24no—
277C4×#67—24no—
278C2×(C2×D3)⋊C4—24no—
279C2×(C2×D3)⋊C4—24no—
280C2×(C2×D3)⋊C4—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×C4×Dic3—24no—
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
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357#898—24no—
358#898—24no—
359#898—24no—
360#898—24no—
361#895—42no—
362#894—24no—
363#894—24no—
364#894—24no—
365#894—42no—
366#893—24no—
367#893—24no—
368#892—24no—
369#892—24no—
370#892—24no—
371#890—24no—
372#886—24no—
373#886D418yescomplemented
374#882—24no—
375#882—24no—
376#67⋊C4—24no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379D3×C22⋊C4—24no—
380#877—24no—
381#877—24no—
382C4×D12—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
417#551—68no—
418C2×C4⋊Q8C2×D311yescharacteristic, complemented
419#529—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#125—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×C22⋊Q8C2×D311yescharacteristic
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×C4×D4—31no—
449C2×#117—31no—
450C2×#117—31no—
451C2×#117—31no—
452C2×#117—31no—
453C2×#117—31no—
454C22×C4⋊C4C2×D311yescharacteristic
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C42—31no—
460#400—31no—
461#400—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398C2×D311yescharacteristic, complemented
470#398C2×D311yescharacteristic, complemented
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395C2×D311yescharacteristic, complemented
481#395C2×D311yescharacteristic, complemented
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#393—31no—
490#393—31no—
491#392—31no—
492#391—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389C2×D311yescharacteristic, complemented
505#389C2×D311yescharacteristic, complemented
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#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic
553#385C2×D311yescharacteristic
554#384C2×D311yescharacteristic, complemented
555#382—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C4⋊C4—31no—
567C4×C4⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67C2×D414yes—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3C2×D414yes—
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
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—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4C2×D414yes—
694C3×C22⋊C4#4114yes—
695C3×C42—22no—
696C3×C42—41no—
697#217—22no—
698#217—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
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—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
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—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4C2×D414yes—
737(C2×D3)⋊C4C2×D414yes—
738(C2×D3)⋊C4#4114yes—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—41no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746C4⋊Dic3C2×D414yes—
747C4⋊Dic3C2×D414yes—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762C4×Dic3—22no—
763C4×Dic3—22no—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C25—31no—
775C22×Q8C22×D311yescharacteristic
776C22×Q8C22×D311yescharacteristic
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4C22×D311yescharacteristic
794C23×C4C22×D311yescharacteristic
795C23×C4C22×D311yescharacteristic
796C4⋊Q8—42no—
797#126—64no—
798#126—64no—
799#126—64no—
800#126—64no—
801#125—64no—
802#124—64no—
803#124—64no—
804#123—38no—
805#123—64no—
806#123—64no—
807#123—64no—
808#123—64no—
809#123—122no—
810C22⋊Q8—24no—
811C22⋊Q8—24no—
812C22⋊Q8—64no—
813C22⋊Q8—122no—
814#121—64no—
815#121—122no—
816#120—64no—
817#120—64no—
818C4×Q8—64no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823C4×D4—64no—
824C4×D4—64no—
825C4×D4—64no—
826#117—64no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
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—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
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—42no—
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C4⋊C4C22×D311yescharacteristic
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—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—64no—
914C2×C22⋊C4—64no—
915C2×C22⋊C4—64no—
916C2×C22⋊C4—122no—
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—64no—
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3C22×D412yes—
975C23×C3C2×#4112yes—
976C23×C32−1+412yes—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—82no—
1009C22×D3—82no—
1010C22×D3—82no—
1011C22×D3C22×D412yes—
1012C22×D3C2×#4112yes—
1013C3×Q8—44no—
1014C3×Q8—82no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
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—44no—
1052C2×C3×C4—44no—
1053C2×C3×C4—82no—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C2×#4112yes—
1057C2×C3×C4C2×#4112yes—
1058C2×C3×C4C2×#4112yes—
1059C2×C3×C4H(5,𝔽2)12yes—
1060#67—28no—
1061#67—44no—
1062C2×Dic3—28no—
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—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
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—44no—
1096C2×Dic3—82no—
1097C2×Dic3C22×D412yes—
1098C2×Dic3C22×D412yes—
1099C2×Dic3C22×D412yes—
1100C2×Dic3C2×#4112yes—
1101D12—44no—
1102D12—44no—
1103D12—44no—
1104D12—82no—
1105D12—82no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—82no—
1110C4×D3—82no—
1111C4×D3—82no—
1112C24—31no—
1113C24—31no—
1114C24—31no—
1115C24—31no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—121no—
1121C24—121no—
1122C24—121no—
1123C24C23×D311yescharacteristic
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—22no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×D4—34no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—34no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—34no—
1224C4⋊C4—34no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—34no—
1255C22⋊C4—34no—
1256C22⋊C4—34no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4D3×D414yes—
1297C22⋊C4#23914yes—
1298C42—22no—
1299C42—41no—
1300C42—62no—
1301C42—62no—
1302C42—62no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—62no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3#54714yes—
1319C22×C3C23×D411yescharacteristic
1320C22×C3C22×#4111yescharacteristic
1321C22×C3C22×#4111yescharacteristic
1322C22×C3C2×H(5,𝔽2)11yescharacteristic
1323C22×C3C2×2−1+411yescharacteristic
1324C22×C3#58511yescharacteristic
1325C22×C3#58511yescharacteristic
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—88no—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—22no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369Dic3—22no—
1370Dic3—22no—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—32no—
1386C23—32no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—124no—
1414C23—124no—
1415C23—124no—
1416C23—124no—
1417C23—242no—
1418C23—242no—
1419C23—242no—
1420C23C2×D3×D412yes—
1421C23C2×#23912yes—
1422C23#100712yes—
1423C23C24×D311yescharacteristic
1424Q8—44no—
1425Q8—82no—
1426D4—68no—
1427D4—124no—
1428D4—124no—
1429D4—124no—
1430D4—124no—
1431D4—242no—
1432D4—242no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—32no—
1472C2×C4—32no—
1473C2×C4—44no—
1474C2×C4—44no—
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—68no—
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—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—82no—
1509C2×C4—124no—
1510C2×C4—124no—
1511C2×C4—124no—
1512C2×C4—124no—
1513C2×C4—242no—
1514C2×C4—242no—
1515C2×C4—242no—
1516C2×C4—242no—
1517C2×C4C2×D3×D412yes—
1518C2×C4C2×D3×D412yes—
1519C2×C4#100412yes—
1520C2×C4C2×#23912yes—
1521C2×C4C2×#23912yes—
1522C2×C4D3×#4112yes—
1523C2×C3—24no—
1524C2×C3C2×#54711yescharacteristic
1525C2×C3D4×#4111yescharacteristic
1526C2×C3#347511yescharacteristic
1527C2×C3#348811yescharacteristic
1528C2×C3#351411yescharacteristic
1529C2×C3#352011yescharacteristic
1530C2×C3#356411yescharacteristic
1531D3—42no—
1532D3—42no—
1533D3—81no—
1534D3—81no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—62no—
1542C22—62no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—121no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—248no—
1570C22#572614yes—
1571C22C22×D3×D411yescharacteristic
1572C22C2×#100411yescharacteristic
1573C22C22×#23911yescharacteristic
1574C22C2×#100711yescharacteristic
1575C22C2×D3×#4111yescharacteristic
1576C22#596611yescharacteristic
1577C22#596811yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—62no—
1593C4—62no—
1594C4—62no—
1595C4—62no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C3#5910811yescharacteristic, complemented, Sylow
1605C2—24no—
1606C2—122no—
1607C2—122no—
1608C2—241no—
1609C2—241no—
1610C2#8598711yescharacteristic
1611C2C2×#572611yescharacteristic
1612C2#8659211yescharacteristic
1613C2#8660711yescharacteristic
1614C2#8667411yescharacteristic
1615C2#8674811yescharacteristic
1616C2#8692211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2440C2
prime radical#74605C2
hypercenter#2440D3
hypocenterC3#59108
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C2×#5637C2semidirect
2. C2×#5624C2semidirect
3. C3×#2440C2semidirect
4. #83257C2semidirect
5. #83254C2semidirect
6. #82816C2semidirect
7. #82765C2semidirect
8. #82195C2semidirect
9. C2×#4990C2semidirect
10. #77948C2semidirect
11. #77849C2semidirect
12. #77763C2semidirect
13. #77759C2semidirect
14. #77222C2semidirect
15. #77182C2semidirect
16. #77181C2semidirect
17. #77176C2semidirect
18. #76226C2semidirect
19. #76204C2semidirect
20. #76132C2semidirect
21. #76051C2semidirect
23. #74602C2semidirect
24. #74394C2semidirect
25. #74378C2semidirect
26. #74372C2semidirect
27. #74324C2semidirect
28. #74021C2semidirect
29. #73926C2semidirect
30. #73577C2semidirect
31. #73464C2semidirect
33. C2×C3×C4⋊Q8C22semidirect
38. C2×#947C22semidirect
41. C2×Q8×Dic3C22semidirect
52. C2×#898C22semidirect
53. C2×#898C22semidirect
58. C2×#894C22semidirect
60. C2×#893C22semidirect
62. C2×#892C22semidirect
63. C2×#892C22semidirect
64. C2×#890C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
78. C3×#395C22semidirect
79. C3×#395C22semidirect
80. C3×#389C22semidirect
81. C3×#389C22semidirect
84. C3×#384C22semidirect
88. #5231C22semidirect
89. #5229C22semidirect
101. #4994C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4992C22semidirect
109. #4991C22semidirect
119. #4990C22semidirect
120. #4990C22semidirect
123. #4989C22semidirect
124. #4989C22semidirect
125. #4989C22semidirect
130. #4987C22semidirect
131. #4987C22semidirect
132. #4985C22semidirect
133. #4982C22semidirect
134. #4982C22semidirect
135. #4982C22semidirect
136. #4980C22semidirect
137. #4980C22semidirect
138. #4978C22semidirect
139. #4976C22semidirect
140. #4976C22semidirect
141. #4976C22semidirect
142. Dic3×C4⋊C4C22semidirect
143. Dic3×C4⋊C4C22semidirect
144. Dic3×C4⋊C4C22semidirect
152. #4940C22semidirect
155. C4×(C2×D3)⋊C4C22semidirect
156. C4×C4⋊Dic3C22semidirect
157. #4928C22semidirect
159. #4675C22semidirect
169. #4670C22semidirect
171. #4669C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
179. D3×#95C22semidirect
180. #4660C22semidirect
181. #4655C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
207. #2440D3semidirect
373. #886D4semidirect
418. C2×C4⋊Q8C2×D3semidirect
469. #398C2×D3semidirect
470. #398C2×D3semidirect
480. #395C2×D3semidirect
481. #395C2×D3semidirect
504. #389C2×D3semidirect
505. #389C2×D3semidirect
554. #384C2×D3semidirect
1604. C3#59108semidirect

Maximal subgroups

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

subgroupindex
C2×#56372
C2×#56242
C3×#24402
#832572
#832542
#828162
#827652
#821952
C2×#49902
#779482
#778492
#777632
#777592
#772222
#771822
#771812
#771762
#762262
#762042
#761322
#760512
#746052
#746022
#743942
#743782
#743722
#743242
#740212
#739262
#735772
#734642
#591083