Finite Group Databasebeta

← #10982020

Subgroups — #10982020

Order 768.

2204 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2578C211yesmaximal, characteristic, complemented
2#78217C211yesmaximal, characteristic, complemented
3#78141C211yesmaximal, characteristic, complemented
4#77685C211yesmaximal, characteristic, complemented
5#77518C211yesmaximal, characteristic, complemented
6#77474C211yesmaximal, characteristic, complemented
7#77459C211yesmaximal, characteristic, complemented
8D3×#394C211yesmaximal, characteristic, complemented
9#76928C211yesmaximal, characteristic, complemented
10#75836C211yesmaximal, characteristic, complemented
11#75640C211yesmaximal, characteristic, complemented
12#75541C211yesmaximal, characteristic, complemented
13#75507C211yesmaximal, characteristic, complemented
14#75386C211yesmaximal, characteristic, complemented
15#75310C211yesmaximal, characteristic, complemented
16#75305C211yesmaximal, characteristic, complemented
17#75002C211yesmaximal, characteristic, complemented
18#74888C211yesmaximal, characteristic
19#74878C211yesmaximal, characteristic, complemented
20#74766C211yesmaximal, characteristic, complemented
21#74697C211yesmaximal, characteristic, complemented
22#74596C211yesmaximal, characteristic, complemented
23#74430C211yesmaximal, characteristic, complemented
24#74301C211yesmaximal, characteristic, complemented
25#74269C211yesmaximal, characteristic, complemented
26#73914C211yesmaximal, characteristic, complemented
27#73896C211yesmaximal, characteristic, complemented
28#73595C211yesmaximal, characteristic, complemented
29#73581C211yesmaximal, characteristic, complemented
30#73575C211yesmaximal, characteristic, complemented
31#73560C211yesmaximal, characteristic, complemented
32#35716—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×#939C2211yescharacteristic
35C2×#930C2211yescharacteristic
36C2×C4×#67C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic, complemented
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C2×#898C2211yescharacteristic, complemented
41C2×#896C2211yescharacteristic
42C2×#893C2211yescharacteristic
43C2×D3×C4⋊C4C2211yescharacteristic
44C2×#890C2211yescharacteristic, complemented
45C2×#885C2211yescharacteristic, complemented
46C2×#882C2211yescharacteristic
47C2×#882C2211yescharacteristic
48C2×#67⋊C4C2211yescharacteristic
49C2×D3×C22⋊C4C2211yescharacteristic
50C2×D3×C22⋊C4C2211yescharacteristic
51C2×D3×C22⋊C4C2211yescharacteristic
52C2×D3×C22⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×#878C2211yescharacteristic, complemented
55C2×#877C2211yescharacteristic, complemented
56C2×C4×D12C2211yescharacteristic, complemented
57C2×#872C2211yescharacteristic, complemented
58C3×#400C2211yescharacteristic, complemented
59C3×#397C2211yescharacteristic, complemented
60C3×#397C2211yescharacteristic, complemented
61C3×#394C2211yescharacteristic
62C3×#388C2211yescharacteristic, complemented
63C3×#388C2211yescharacteristic, complemented
64C3×#387C2211yescharacteristic, complemented
65C3×#387C2211yescharacteristic, complemented
66C3×#386C2211yescharacteristic
67C3×#386C2211yescharacteristic
68C3×#385C2211yescharacteristic, complemented
69C3×#383C2211yescharacteristic, complemented
70C3×#380C2211yescharacteristic, complemented
71C3×C4×C22⋊C4C2211yescharacteristic, complemented
72C3×C4×C22⋊C4C2211yescharacteristic, complemented
73#5222C2211yescharacteristic
74#5220C2211yescharacteristic
75#5212C2211yescharacteristic, complemented
76#5210C2211yescharacteristic, complemented
77C4×#217C2211yescharacteristic, complemented
78#4994C2211yescharacteristic, complemented
79#4993C2211yescharacteristic, complemented
80#4991C2211yescharacteristic
81#4991C2211yescharacteristic, complemented
82#4990C2211yescharacteristic, complemented
83#4990C2211yescharacteristic, complemented
84#4989C2211yescharacteristic
85#4989C2211yescharacteristic
86#4989C2211yescharacteristic, complemented
87#4988C2211yescharacteristic, complemented
88#4988C2211yescharacteristic, complemented
89#4983C2211yescharacteristic, complemented
90#4980C2211yescharacteristic, complemented
91Dic3×C4⋊C4C2211yescharacteristic, complemented
92#4973C2211yescharacteristic, complemented
93#4961C2211yescharacteristic
94#4961C2211yescharacteristic
95#4961C2211yescharacteristic
96#4961C2211yescharacteristic, complemented
97#4960C2211yescharacteristic
98#4959C2211yescharacteristic
99#4959C2211yescharacteristic
100#4959C2211yescharacteristic, complemented
101#4959C2211yescharacteristic, complemented
102#4958C2211yescharacteristic
103#4958C2211yescharacteristic, complemented
104#4957C2211yescharacteristic
105#4957C2211yescharacteristic
106#4957C2211yescharacteristic, complemented
107#4956C2211yescharacteristic, complemented
108#4955C2211yescharacteristic
109#4955C2211yescharacteristic
110#4955C2211yescharacteristic
111#4952C2211yescharacteristic, complemented
112#4952C2211yescharacteristic, complemented
113#4951C2211yescharacteristic, complemented
114#4948C2211yescharacteristic, complemented
115#4946C2211yescharacteristic, complemented
116#4945C2211yescharacteristic, complemented
117#4944C2211yescharacteristic, complemented
118#4943C2211yescharacteristic, complemented
119Dic3×C22⋊C4C2211yescharacteristic, complemented
120Dic3×C22⋊C4C2211yescharacteristic, complemented
121Dic3×C22⋊C4C2211yescharacteristic, complemented
122#4940C2211yescharacteristic, complemented
123#4940C2211yescharacteristic, complemented
124#4940C2211yescharacteristic, complemented
125#4940C2211yescharacteristic, complemented
126C4×(C2×D3)⋊C4C2211yescharacteristic
127C4×(C2×D3)⋊C4C2211yescharacteristic
128C4×(C2×D3)⋊C4C2211yescharacteristic
129C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
131C4×Dic3⋊C4C2211yescharacteristic, complemented
132#4676C2211yescharacteristic, complemented
133#4675C2211yescharacteristic, complemented
134#4675C2211yescharacteristic, complemented
135#4675C2211yescharacteristic, complemented
136#4675C2211yescharacteristic, complemented
137#4674C2211yescharacteristic, complemented
138#4674C2211yescharacteristic, complemented
139#4673C2211yescharacteristic, complemented
140#4673C2211yescharacteristic, complemented
141#4672C2211yescharacteristic
142#4672C2211yescharacteristic
143#4672C2211yescharacteristic, complemented
144#4672C2211yescharacteristic, complemented
145#4671C2211yescharacteristic
146#4670C2211yescharacteristic, complemented
147#4670C2211yescharacteristic, complemented
148#4670C2211yescharacteristic, complemented
149#4669C2211yescharacteristic, complemented
150#4669C2211yescharacteristic, complemented
151#4669C2211yescharacteristic, complemented
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4667C2211yescharacteristic
157#4667C2211yescharacteristic
158#4667C2211yescharacteristic, complemented
159#4666C2211yescharacteristic
160#4666C2211yescharacteristic
161#4666C2211yescharacteristic
162#4666C2211yescharacteristic, complemented
163#4666C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173D3×#95C2211yescharacteristic
174C3⋊#401C2211yescharacteristic, complemented
175#4658C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2653—31no—
189#2648—31no—
190#2622—31no—
191#2597—31no—
192#2578D311yescharacteristic, complemented
193#2576—31no—
194#2560—31no—
195#2518—31no—
196#2510—31no—
197#2490—31no—
198#2480—31no—
199#2476—31no—
200#2476—31no—
201#2473—31no—
202#2472—31no—
203#2467—31no—
204#2460—31no—
205#2459—31no—
206#2437—31no—
207#2427—31no—
208#2410—31no—
209#2395—31no—
210#2392—31no—
211C2×#394—31no—
212#2368—31no—
213#2358—31no—
214#2358—31no—
215#2352—31no—
216#2342—31no—
217D4×C22⋊C4—31no—
218#2273—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C2×D3×D4—24no—
231C2×D3×D4—42no—
232C2×D3×D4—42no—
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
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C42C2311yescharacteristic
262C2×C3×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272#939—42no—
273#930—42no—
274C4×#67—42no—
275C4×#67—42no—
276C2×(C2×D3)⋊C4—24no—
277C2×(C2×D3)⋊C4—24no—
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×(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×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343#898—42no—
344#896—24no—
345#893—24no—
346D3×C4⋊C4—42no—
347#890—42no—
348#885—42no—
349#882—24no—
350#882—24no—
351#67⋊C4—42no—
352D3×C22⋊C4—24no—
353D3×C22⋊C4—24no—
354D3×C22⋊C4—42no—
355D3×C22⋊C4—42no—
356D3×C22⋊C4—42no—
357#878—42no—
358#877—42no—
359C4×D12—42no—
360#872—42no—
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
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
401C23×D4—31no—
402C2×#126—31no—
403C2×#125—31no—
404C2×#124—31no—
405C2×C22⋊Q8—31no—
406C2×C22⋊Q8—31no—
407C2×#121—31no—
408C2×#121—31no—
409C2×#120—31no—
410C2×#120—31no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×C4×D4—31no—
414C2×C4×D4—31no—
415C2×C4×D4—31no—
416C2×#117—31no—
417C2×#117—31no—
418C22×C4⋊C4—31no—
419C22×C22⋊C4—31no—
420C22×C22⋊C4—31no—
421C22×C22⋊C4—31no—
422C22×C22⋊C4—31no—
423C22×C22⋊C4—31no—
424C22×C22⋊C4—31no—
425C22×C22⋊C4—31no—
426#401—31no—
427#400—31no—
428#400C2×D311yescharacteristic, complemented
429#399—31no—
430#398—31no—
431#398—31no—
432#398—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397C2×D311yescharacteristic, complemented
442#397C2×D311yescharacteristic, complemented
443#396—31no—
444#396—31no—
445#396—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394C2×D311yescharacteristic
462#393—31no—
463#393—31no—
464#392—31no—
465#392—31no—
466#391—31no—
467#391—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#389—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388C2×D311yescharacteristic, complemented
490#388C2×D311yescharacteristic, complemented
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387C2×D311yescharacteristic, complemented
499#387C2×D311yescharacteristic, complemented
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386C2×D311yescharacteristic
513#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic, complemented
524#383C2×D311yescharacteristic, complemented
525#382—31no—
526#381—31no—
527#380—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380C2×D311yescharacteristic, complemented
532#379—31no—
533#379—31no—
534#379—31no—
535C4×C4⋊C4—31no—
536C4×C4⋊C4—31no—
537C4×C4⋊C4—31no—
538C4×C22⋊C4—31no—
539C4×C22⋊C4—31no—
540C4×C22⋊C4—31no—
541C4×C22⋊C4—31no—
542C4×C22⋊C4—31no—
543C4×C22⋊C4—31no—
544C4×C22⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4C2×D311yescharacteristic, complemented
554C4×C22⋊C4C2×D311yescharacteristic, complemented
555C2×#95—31no—
556C24×C3C2411yescharacteristic
557C24×C3C2411yescharacteristic
558C23×D3—22no—
559C23×D3—22no—
560C23×D3—22no—
561C23×D3—22no—
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—41no—
565C23×D3—41no—
566C23×D3—41no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3#4114yes—
572C23×D3C2411yescharacteristic
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—41no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—41no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C22×Dic3—22no—
611C22×Dic3—22no—
612C22×Dic3—22no—
613C22×Dic3—41no—
614C22×Dic3—41no—
615C22×Dic3—41no—
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628D3×D4—416no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
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×Dic6—22no—
666C2×Dic6—41no—
667C2×Dic6—41no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—22no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—41no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C42—41no—
684C3×C42—41no—
685C3×C42—41no—
686#217—22no—
687#217—22no—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—22no—
692#217—41no—
693#217—41no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—22no—
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—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—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4#4114yes—
729(C2×D3)⋊C4#4114yes—
730C4⋊Dic3—22no—
731C4⋊Dic3—22no—
732C4⋊Dic3—22no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749C4×Dic3—22no—
750C4×Dic3—22no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C4×Dic3—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C25—31no—
760C25—31no—
761C22×Q8—31no—
762C22×D4—31no—
763C22×D4—31no—
764C22×D4—31no—
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—64no—
771C22×D4—122no—
772C22×D4—122no—
773C22×D4C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786#126—122no—
787#125—122no—
788#124—122no—
789C22⋊Q8—64no—
790C22⋊Q8—122no—
791#121—122no—
792#121—122no—
793#120—64no—
794#120—64no—
795C4×D4—64no—
796C4×D4—122no—
797C4×D4—122no—
798C4×D4—122no—
799C4×D4—122no—
800#117—122no—
801#117—122no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
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—122no—
822C2×C4⋊C4C22×D311yescharacteristic
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C4⋊C4C22×D311yescharacteristic
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C4⋊C4C22×D311yescharacteristic
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—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—64no—
872C2×C22⋊C4—64no—
873C2×C22⋊C4—64no—
874C2×C22⋊C4—64no—
875C2×C22⋊C4—122no—
876C2×C22⋊C4—122no—
877C2×C22⋊C4—122no—
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42C22×D311yescharacteristic
899C2×C42C22×D311yescharacteristic
900C2×C42C22×D311yescharacteristic
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
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#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931#95C22×D311yescharacteristic
932#95C22×D311yescharacteristic
933#95C22×D311yescharacteristic
934#95C22×D311yescharacteristic
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3C2×#4112yes—
954C23×C3H(5,𝔽2)12yes—
955C23×C3C2511yescharacteristic
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—28no—
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—44no—
982C22×D3—44no—
983C22×D3—44no—
984C22×D3—44no—
985C22×D3—44no—
986C22×D3—44no—
987C22×D3—82no—
988C22×D3—82no—
989C22×D3—82no—
990C22×D3—82no—
991C22×D3—82no—
992C22×D3—82no—
993C22×D3—82no—
994C22×D3C2×#4112yes—
995C22×D3C2×#4112yes—
996C22×D3C2×#4112yes—
997C22×D3C2×#4112yes—
998C3×D4—44no—
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—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—82no—
1037C2×C3×C4—82no—
1038C2×C3×C4C2×#4112yes—
1039C2×C3×C4C2×#4112yes—
1040#67—28no—
1041#67—44no—
1042#67—44no—
1043#67—82no—
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—82no—
1078C2×Dic3C2×#4112yes—
1079C2×Dic3C2×#4112yes—
1080C2×Dic3H(5,𝔽2)12yes—
1081C2×Dic3H(5,𝔽2)12yes—
1082D12—44no—
1083D12—44no—
1084D12—44no—
1085D12—82no—
1086C4×D3—44no—
1087C4×D3—44no—
1088C4×D3—44no—
1089C4×D3—82no—
1090C4×D3—82no—
1091C4×D3—82no—
1092C4×D3—82no—
1093C4×D3—82no—
1094Dic6—82no—
1095C24—31no—
1096C24—31no—
1097C24—34no—
1098C24—31no—
1099C24—31no—
1100C24—62no—
1101C24—62no—
1102C24—62no—
1103C24—62no—
1104C24—62no—
1105C24—62no—
1106C24—121no—
1107C24—121no—
1108C24—121no—
1109C24—121no—
1110C24—121no—
1111C24—121no—
1112C24—121no—
1113C24C23×D311yescharacteristic
1114C24C23×D311yescharacteristic
1115C2×Q8—62no—
1116C2×Q8—121no—
1117C2×Q8—121no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—41no—
1121C2×D4—62no—
1122C2×D4—62no—
1123C2×D4—62no—
1124C2×D4—62no—
1125C2×D4—62no—
1126C2×D4—62no—
1127C2×D4—62no—
1128C2×D4—62no—
1129C2×D4—62no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—121no—
1136C2×D4—121no—
1137C2×D4—121no—
1138C2×D4—121no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—1216no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
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—22no—
1208C4⋊C4—22no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—62no—
1213C4⋊C4—62no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—62no—
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—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—34no—
1238C22⋊C4—34no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—62no—
1244C22⋊C4—62no—
1245C22⋊C4—62no—
1246C22⋊C4—62no—
1247C22⋊C4—62no—
1248C22⋊C4—62no—
1249C22⋊C4—62no—
1250C22⋊C4—62no—
1251C22⋊C4—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
1255C22⋊C4—62no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
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⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—62no—
1289C42—62no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C42—121no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—41no—
1305C22×C3—41no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3C22×#4111yescharacteristic
1313C22×C3C22×#4111yescharacteristic
1314C22×C3C22×#4111yescharacteristic
1315C22×C3C2×H(5,𝔽2)11yescharacteristic
1316C22×C3C2×H(5,𝔽2)11yescharacteristic
1317C22×C3C2×H(5,𝔽2)11yescharacteristic
1318C22×C3#58511yescharacteristic
1319C2×D3—22no—
1320C2×D3—22no—
1321C2×D3—22no—
1322C2×D3—22no—
1323C2×D3—22no—
1324C2×D3—22no—
1325C2×D3—22no—
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—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—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—88no—
1347C2×D3—88no—
1348C2×D3#52914yes—
1349C3×C4—22no—
1350C3×C4—22no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362Dic3—22no—
1363Dic3—22no—
1364Dic3—22no—
1365Dic3—22no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—32no—
1387C23—32no—
1388C23—32no—
1389C23—32no—
1390C23—68no—
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—61no—
1414C23—61no—
1415C23—124no—
1416C23—124no—
1417C23—124no—
1418C23—124no—
1419C23—124no—
1420C23—124no—
1421C23—242no—
1422C23—242no—
1423C23—242no—
1424C23—242no—
1425C23—242no—
1426C23—242no—
1427C23—242no—
1428C23D3×#4112yes—
1429C23#100912yes—
1430C23C24×D311yescharacteristic
1431Q8—242no—
1432D4—44no—
1433D4—68no—
1434D4—124no—
1435D4—124no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
1439D4—242no—
1440D4—242no—
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—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—32no—
1479C2×C4—32no—
1480C2×C4—32no—
1481C2×C4—32no—
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—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—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—242no—
1521C2×C4—242no—
1522C2×C4—242no—
1523C2×C4—242no—
1524C2×C4—242no—
1525C2×C4—242no—
1526C2×C4D3×#4112yes—
1527C2×C4D3×#4112yes—
1528C2×C3—42no—
1529C2×C3—42no—
1530C2×C3C2×#52911yescharacteristic
1531C2×C3#349011yescharacteristic
1532C2×C3#350511yescharacteristic
1533C2×C3#351311yescharacteristic
1534C2×C3#351411yescharacteristic
1535C2×C3#351911yescharacteristic
1536C2×C3#351911yescharacteristic
1537D3—24no—
1538D3—42no—
1539D3—81no—
1540D3—81no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—34no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—62no—
1557C22—62no—
1558C22—62no—
1559C22—62no—
1560C22—62no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—248no—
1584C22—248no—
1585C22C2×D3×#4111yescharacteristic
1586C22C2×D3×#4111yescharacteristic
1587C22C2×D3×#4111yescharacteristic
1588C22C2×#100911yescharacteristic
1589C22#596411yescharacteristic
1590C22D3×H(5,𝔽2)11yescharacteristic
1591C22D3×H(5,𝔽2)11yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—62no—
1606C4—62no—
1607C4—62no—
1608C4—62no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C3#3571611yescharacteristic, complemented, Sylow
1618C2—42no—
1619C2—42no—
1620C2—64no—
1621C2—122no—
1622C2—241no—
1623C2—241no—
1624C2D3×#52911yescharacteristic
1625C2#8616011yescharacteristic
1626C2#8641711yescharacteristic
1627C2#8679711yescharacteristic
1628C2#8681511yescharacteristic
1629C2#8688811yescharacteristic
1630C2#8691211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2578C2
prime radical#74888C2
hypercenter#2578D3
hypocenterC3#35716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2578

Complements

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

NH ≅ G/Ntype
1. C3×#2578C2semidirect
2. #78217C2semidirect
3. #78141C2semidirect
4. #77685C2semidirect
5. #77518C2semidirect
6. #77474C2semidirect
7. #77459C2semidirect
8. D3×#394C2semidirect
9. #76928C2semidirect
10. #75836C2semidirect
11. #75640C2semidirect
12. #75541C2semidirect
13. #75507C2semidirect
14. #75386C2semidirect
15. #75310C2semidirect
16. #75305C2semidirect
17. #75002C2semidirect
19. #74878C2semidirect
20. #74766C2semidirect
21. #74697C2semidirect
22. #74596C2semidirect
23. #74430C2semidirect
24. #74301C2semidirect
25. #74269C2semidirect
26. #73914C2semidirect
27. #73896C2semidirect
28. #73595C2semidirect
29. #73581C2semidirect
30. #73575C2semidirect
31. #73560C2semidirect
37. C2×C4×#67C22semidirect
40. C2×#898C22semidirect
44. C2×#890C22semidirect
45. C2×#885C22semidirect
54. C2×#878C22semidirect
55. C2×#877C22semidirect
56. C2×C4×D12C22semidirect
57. C2×#872C22semidirect
58. C3×#400C22semidirect
59. C3×#397C22semidirect
60. C3×#397C22semidirect
62. C3×#388C22semidirect
63. C3×#388C22semidirect
64. C3×#387C22semidirect
65. C3×#387C22semidirect
68. C3×#385C22semidirect
69. C3×#383C22semidirect
70. C3×#380C22semidirect
71. C3×C4×C22⋊C4C22semidirect
72. C3×C4×C22⋊C4C22semidirect
75. #5212C22semidirect
76. #5210C22semidirect
77. C4×#217C22semidirect
78. #4994C22semidirect
79. #4993C22semidirect
81. #4991C22semidirect
82. #4990C22semidirect
83. #4990C22semidirect
86. #4989C22semidirect
87. #4988C22semidirect
88. #4988C22semidirect
89. #4983C22semidirect
90. #4980C22semidirect
91. Dic3×C4⋊C4C22semidirect
92. #4973C22semidirect
96. #4961C22semidirect
100. #4959C22semidirect
101. #4959C22semidirect
103. #4958C22semidirect
106. #4957C22semidirect
107. #4956C22semidirect
111. #4952C22semidirect
112. #4952C22semidirect
113. #4951C22semidirect
114. #4948C22semidirect
115. #4946C22semidirect
116. #4945C22semidirect
117. #4944C22semidirect
118. #4943C22semidirect
119. Dic3×C22⋊C4C22semidirect
120. Dic3×C22⋊C4C22semidirect
121. Dic3×C22⋊C4C22semidirect
122. #4940C22semidirect
123. #4940C22semidirect
124. #4940C22semidirect
125. #4940C22semidirect
129. C4×(C2×D3)⋊C4C22semidirect
130. C4×(C2×D3)⋊C4C22semidirect
131. C4×Dic3⋊C4C22semidirect
132. #4676C22semidirect
133. #4675C22semidirect
134. #4675C22semidirect
135. #4675C22semidirect
136. #4675C22semidirect
137. #4674C22semidirect
138. #4674C22semidirect
139. #4673C22semidirect
140. #4673C22semidirect
143. #4672C22semidirect
144. #4672C22semidirect
146. #4670C22semidirect
147. #4670C22semidirect
148. #4670C22semidirect
149. #4669C22semidirect
150. #4669C22semidirect
151. #4669C22semidirect
158. #4667C22semidirect
162. #4666C22semidirect
163. #4666C22semidirect
164. #4666C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
174. C3⋊#401C22semidirect
175. #4658C22semidirect
176. #4657C22semidirect
177. #4657C22semidirect
178. #4655C22semidirect
179. #4655C22semidirect
180. #4654C22semidirect
181. #4653C22semidirect
182. #4652C22semidirect
183. #4652C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
192. #2578D3semidirect
428. #400C2×D3semidirect
441. #397C2×D3semidirect
442. #397C2×D3semidirect
489. #388C2×D3semidirect
490. #388C2×D3semidirect
498. #387C2×D3semidirect
499. #387C2×D3semidirect
523. #385C2×D3semidirect
524. #383C2×D3semidirect
531. #380C2×D3semidirect
553. C4×C22⋊C4C2×D3semidirect
554. C4×C22⋊C4C2×D3semidirect
1617. C3#35716semidirect

Maximal subgroups

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

subgroupindex
C3×#25782
#782172
#781412
#776852
#775182
#774742
#774592
D3×#3942
#769282
#758362
#756402
#755412
#755072
#753862
#753102
#753052
#750022
#748882
#748782
#747662
#746972
#745962
#744302
#743012
#742692
#739142
#738962
#735952
#735812
#735752
#735602
#357163