Finite Group Databasebeta

← #10982010

Subgroups — #10982010

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×#2395C211yesmaximal, characteristic, complemented
2D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
3#82365C211yesmaximal, characteristic, complemented
4#82280C211yesmaximal, characteristic, complemented
5#82271C211yesmaximal, characteristic, complemented
6#78355C211yesmaximal, characteristic, complemented
7#78202C211yesmaximal, characteristic, complemented
8#78102C211yesmaximal, characteristic, complemented
9#78025C211yesmaximal, characteristic, complemented
10#77760C211yesmaximal, characteristic, complemented
11#77758C211yesmaximal, characteristic, complemented
12#77685C211yesmaximal, characteristic, complemented
13#77560C211yesmaximal, characteristic, complemented
14#77525C211yesmaximal, characteristic, complemented
15#77481C211yesmaximal, characteristic, complemented
16#77474C211yesmaximal, characteristic, complemented
17#77466C211yesmaximal, characteristic, complemented
18#77108C211yesmaximal, characteristic
19D3×#394C211yesmaximal, characteristic, complemented
20#76914C211yesmaximal, characteristic, complemented
21#76891C211yesmaximal, characteristic, complemented
22#73805C211yesmaximal, characteristic, complemented
23#73787C211yesmaximal, characteristic, complemented
24#73775C211yesmaximal, characteristic, complemented
25#73771C211yesmaximal, characteristic, complemented
26#73609C211yesmaximal, characteristic, complemented
27#73577C211yesmaximal, characteristic, complemented
28#73577C211yesmaximal, characteristic, complemented
29#73560C211yesmaximal, characteristic, complemented
30#73544C211yesmaximal, characteristic, complemented
31#73525C211yesmaximal, characteristic, complemented
32#35716—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic, complemented
36C2×D4×Dic3C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C2×#898C2211yescharacteristic, complemented
40C2×#896C2211yescharacteristic
41C2×#896C2211yescharacteristic, complemented
42C2×#895C2211yescharacteristic
43C2×#892C2211yescharacteristic, complemented
44C2×D3×C4⋊C4C2211yescharacteristic
45C2×#890C2211yescharacteristic, complemented
46C2×#885C2211yescharacteristic, complemented
47C2×#884C2211yescharacteristic
48C2×#882C2211yescharacteristic
49C2×#882C2211yescharacteristic
50C2×#67⋊C4C2211yescharacteristic, complemented
51C2×#67⋊C4C2211yescharacteristic, complemented
52C2×D3×C22⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×C4×D12C2211yescharacteristic
58C3×#400C2211yescharacteristic, complemented
59C3×#399C2211yescharacteristic, complemented
60C3×#398C2211yescharacteristic, complemented
61C3×#397C2211yescharacteristic, complemented
62C3×#397C2211yescharacteristic, complemented
63C3×#397C2211yescharacteristic, complemented
64C3×#394C2211yescharacteristic
65C3×#394C2211yescharacteristic
66C3×C4×C4⋊C4C2211yescharacteristic, complemented
67C3×C4×C4⋊C4C2211yescharacteristic, complemented
68C3×C4×C22⋊C4C2211yescharacteristic, complemented
69C3×C4×C22⋊C4C2211yescharacteristic, complemented
70C3×C4×C22⋊C4C2211yescharacteristic, complemented
71#5223C2211yescharacteristic
72#5222C2211yescharacteristic
73#5213C2211yescharacteristic
74#5213C2211yescharacteristic
75#5213C2211yescharacteristic, complemented
76#5213C2211yescharacteristic, complemented
77#5211C2211yescharacteristic, complemented
78C4×#217C2211yescharacteristic, complemented
79#4991C2211yescharacteristic
80#4991C2211yescharacteristic, complemented
81#4990C2211yescharacteristic, complemented
82#4990C2211yescharacteristic, complemented
83#4990C2211yescharacteristic, complemented
84#4990C2211yescharacteristic, complemented
85#4989C2211yescharacteristic
86#4989C2211yescharacteristic
87#4989C2211yescharacteristic
88#4989C2211yescharacteristic, complemented
89#4988C2211yescharacteristic
90#4988C2211yescharacteristic, complemented
91#4987C2211yescharacteristic
92#4987C2211yescharacteristic
93#4987C2211yescharacteristic, complemented
94#4987C2211yescharacteristic, complemented
95#4982C2211yescharacteristic, complemented
96#4981C2211yescharacteristic, complemented
97#4980C2211yescharacteristic, complemented
98#4978C2211yescharacteristic, complemented
99#4978C2211yescharacteristic, complemented
100#4961C2211yescharacteristic
101#4961C2211yescharacteristic
102#4961C2211yescharacteristic, complemented
103#4960C2211yescharacteristic
104#4959C2211yescharacteristic
105#4959C2211yescharacteristic
106#4959C2211yescharacteristic
107#4959C2211yescharacteristic, complemented
108#4959C2211yescharacteristic, complemented
109#4958C2211yescharacteristic
110#4958C2211yescharacteristic
111#4956C2211yescharacteristic
112#4955C2211yescharacteristic
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4952C2211yescharacteristic, complemented
116#4951C2211yescharacteristic, complemented
117#4951C2211yescharacteristic, complemented
118#4950C2211yescharacteristic, complemented
119#4950C2211yescharacteristic, complemented
120#4948C2211yescharacteristic, complemented
121#4948C2211yescharacteristic, complemented
122#4948C2211yescharacteristic, complemented
123#4947C2211yescharacteristic, complemented
124#4945C2211yescharacteristic, complemented
125#4942C2211yescharacteristic, complemented
126Dic3×C22⋊C4C2211yescharacteristic, complemented
127Dic3×C22⋊C4C2211yescharacteristic, complemented
128Dic3×C22⋊C4C2211yescharacteristic, complemented
129#4940C2211yescharacteristic, complemented
130#4940C2211yescharacteristic, complemented
131#4940C2211yescharacteristic, complemented
132#4940C2211yescharacteristic, complemented
133#4940C2211yescharacteristic, complemented
134#4940C2211yescharacteristic, complemented
135#4939C2211yescharacteristic
136#4939C2211yescharacteristic, complemented
137#4939C2211yescharacteristic, complemented
138C4×(C2×D3)⋊C4C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic
141C4×(C2×D3)⋊C4C2211yescharacteristic
142C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
144#4936C2211yescharacteristic, complemented
145#4933C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147#4929C2211yescharacteristic, complemented
148#4675C2211yescharacteristic, complemented
149#4675C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4670C2211yescharacteristic, complemented
159#4670C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic, complemented
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic
178C3⋊#401C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4651C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2653—31no—
189#2648—31no—
190#2622—31no—
191#2597—31no—
192#2578—31no—
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#2395D311yescharacteristic, complemented
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
246C3×C4×D4—42no—
247C3×#117—42no—
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×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278D4×Dic3—42no—
279C2×(C2×D3)⋊C4—24no—
280C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342#898—42no—
343#896—24no—
344#896—42no—
345#895—42no—
346#892—42no—
347D3×C4⋊C4—42no—
348#890—42no—
349#885—42no—
350#884—42no—
351#882—24no—
352#882—24no—
353#67⋊C4—42no—
354#67⋊C4—42no—
355D3×C22⋊C4—24no—
356D3×C22⋊C4—24no—
357D3×C22⋊C4—42no—
358D3×C22⋊C4—42no—
359D3×C22⋊C4—42no—
360C4×D12—24no—
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×D4C2×D311yescharacteristic
416C2×#117—31no—
417C2×#117C2×D311yescharacteristic, complemented
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#399C2×D311yescharacteristic, complemented
430#398—31no—
431#398—31no—
432#398C2×D311yescharacteristic, complemented
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
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#388—31no—
490#388—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
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#386—31no—
513#386—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#383—31no—
525#382—31no—
526#381—31no—
527#380—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380—31no—
532#379—31no—
533#379—31no—
534#379—31no—
535C4×C4⋊C4—31no—
536C4×C4⋊C4C2×D311yescharacteristic, complemented
537C4×C4⋊C4C2×D311yescharacteristic, complemented
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⋊C4C2×D311yescharacteristic, complemented
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—22no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×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—41no—
605C2×#67—41no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C22×Dic3—22no—
611C22×Dic3—22no—
612C22×Dic3—41no—
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—22no—
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—22no—
671C3×C4⋊C4—22no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—41no—
685C3×C42—22no—
686C3×C42—41no—
687C3×C42—41no—
688C3×C42—41no—
689C3×C42—41no—
690#217—22no—
691#217—22no—
692#217—22no—
693#217—41no—
694#217—41no—
695#217—41no—
696#217—41no—
697#217—41no—
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—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
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—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4#4114yes—
733(C2×D3)⋊C4#4114yes—
734C4⋊Dic3—22no—
735C4⋊Dic3—22no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738C4⋊Dic3—41no—
739C4⋊Dic3—41no—
740C4⋊Dic3—41no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751C4×Dic3—22no—
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—42no—
796C4×D4—64no—
797C4×D4—122no—
798C4×D4—122no—
799C4×D4—122no—
800#117—42no—
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—122no—
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C4⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
897C2×C42C22×D311yescharacteristic
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#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
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—28no—
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—44no—
1035C2×C3×C4—82no—
1036C2×C3×C4C2×#4112yes—
1037C2×C3×C4C2×#4112yes—
1038C2×C3×C4H(5,𝔽2)12yes—
1039C2×C3×C4H(5,𝔽2)12yes—
1040#67—44no—
1041#67—44no—
1042#67—44no—
1043#67—44no—
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—21no—
1077C2×Dic3—21no—
1078C2×Dic3—82no—
1079C2×Dic3—82no—
1080C2×Dic3C2×#4112yes—
1081C2×Dic3C2×#4112yes—
1082D12—44no—
1083D12—44no—
1084D12—82no—
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—22no—
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—121no—
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—22no—
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—31no—
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—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×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—22no—
1210C4⋊C4—22no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
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—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—34no—
1241C22⋊C4—34no—
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—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C42—22no—
1286C42—41no—
1287C42—41no—
1288C42—41no—
1289C42—41no—
1290C42—62no—
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—22no—
1352C3×C4—22no—
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—41no—
1365Dic3—41no—
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—
1428C23#100412yes—
1429C23D3×#4112yes—
1430C23C24×D311yescharacteristic
1431Q8—242no—
1432D4—28no—
1433D4—124no—
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—32no—
1477C2×C4—32no—
1478C2×C4—44no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—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—82no—
1514C2×C4—124no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—242no—
1518C2×C4—242no—
1519C2×C4—242no—
1520C2×C4—242no—
1521C2×C4—242no—
1522C2×C4—242no—
1523C2×C4—242no—
1524C2×C4D3×#4112yes—
1525C2×C4D3×#4112yes—
1526C2×C4#100912yes—
1527C2×C4#100912yes—
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×#100411yescharacteristic
1586C22C2×D3×#4111yescharacteristic
1587C22C2×D3×#4111yescharacteristic
1588C22C2×D3×#4111yescharacteristic
1589C22C2×#100911yescharacteristic
1590C22C2×#100911yescharacteristic
1591C22#596411yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—62no—
1606C4—62no—
1607C4—121no—
1608C4—121no—
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—
1624C2#8601311yescharacteristic
1625C2#8604311yescharacteristic
1626C2D3×#52911yescharacteristic
1627C2#8615811yescharacteristic
1628C2#8616211yescharacteristic
1629C2#8616611yescharacteristic
1630C2#8624711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2395C2
prime radical#77108C2
hypercenter#2395D3
hypocenterC3#35716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C3×#2395C2semidirect
2. D4×(C2×D3)⋊C4C2semidirect
3. #82365C2semidirect
4. #82280C2semidirect
5. #82271C2semidirect
6. #78355C2semidirect
7. #78202C2semidirect
8. #78102C2semidirect
9. #78025C2semidirect
10. #77760C2semidirect
11. #77758C2semidirect
12. #77685C2semidirect
13. #77560C2semidirect
14. #77525C2semidirect
15. #77481C2semidirect
16. #77474C2semidirect
17. #77466C2semidirect
19. D3×#394C2semidirect
20. #76914C2semidirect
21. #76891C2semidirect
22. #73805C2semidirect
23. #73787C2semidirect
24. #73775C2semidirect
25. #73771C2semidirect
26. #73609C2semidirect
27. #73577C2semidirect
28. #73577C2semidirect
29. #73560C2semidirect
30. #73544C2semidirect
31. #73525C2semidirect
35. C2×C3×#117C22semidirect
39. C2×#898C22semidirect
41. C2×#896C22semidirect
43. C2×#892C22semidirect
45. C2×#890C22semidirect
46. C2×#885C22semidirect
50. C2×#67⋊C4C22semidirect
51. C2×#67⋊C4C22semidirect
58. C3×#400C22semidirect
59. C3×#399C22semidirect
60. C3×#398C22semidirect
61. C3×#397C22semidirect
62. C3×#397C22semidirect
63. C3×#397C22semidirect
66. C3×C4×C4⋊C4C22semidirect
67. C3×C4×C4⋊C4C22semidirect
68. C3×C4×C22⋊C4C22semidirect
69. C3×C4×C22⋊C4C22semidirect
70. C3×C4×C22⋊C4C22semidirect
75. #5213C22semidirect
76. #5213C22semidirect
77. #5211C22semidirect
78. C4×#217C22semidirect
80. #4991C22semidirect
81. #4990C22semidirect
82. #4990C22semidirect
83. #4990C22semidirect
84. #4990C22semidirect
88. #4989C22semidirect
90. #4988C22semidirect
93. #4987C22semidirect
94. #4987C22semidirect
95. #4982C22semidirect
96. #4981C22semidirect
97. #4980C22semidirect
98. #4978C22semidirect
99. #4978C22semidirect
102. #4961C22semidirect
107. #4959C22semidirect
108. #4959C22semidirect
115. #4952C22semidirect
116. #4951C22semidirect
117. #4951C22semidirect
118. #4950C22semidirect
119. #4950C22semidirect
120. #4948C22semidirect
121. #4948C22semidirect
122. #4948C22semidirect
123. #4947C22semidirect
124. #4945C22semidirect
125. #4942C22semidirect
126. Dic3×C22⋊C4C22semidirect
127. Dic3×C22⋊C4C22semidirect
128. Dic3×C22⋊C4C22semidirect
129. #4940C22semidirect
130. #4940C22semidirect
131. #4940C22semidirect
132. #4940C22semidirect
133. #4940C22semidirect
134. #4940C22semidirect
136. #4939C22semidirect
137. #4939C22semidirect
142. C4×(C2×D3)⋊C4C22semidirect
143. C4×(C2×D3)⋊C4C22semidirect
144. #4936C22semidirect
145. #4933C22semidirect
146. #4933C22semidirect
147. #4929C22semidirect
148. #4675C22semidirect
149. #4675C22semidirect
150. #4675C22semidirect
151. #4674C22semidirect
152. #4674C22semidirect
153. #4674C22semidirect
154. #4673C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4670C22semidirect
159. #4670C22semidirect
160. #4670C22semidirect
161. #4669C22semidirect
165. #4668C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
178. C3⋊#401C22semidirect
179. #4660C22semidirect
180. #4655C22semidirect
181. #4653C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4651C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
209. #2395D3semidirect
417. C2×#117C2×D3semidirect
428. #400C2×D3semidirect
429. #399C2×D3semidirect
432. #398C2×D3semidirect
440. #397C2×D3semidirect
441. #397C2×D3semidirect
442. #397C2×D3semidirect
536. C4×C4⋊C4C2×D3semidirect
537. C4×C4⋊C4C2×D3semidirect
552. C4×C22⋊C4C2×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×#23952
D4×(C2×D3)⋊C42
#823652
#822802
#822712
#783552
#782022
#781022
#780252
#777602
#777582
#776852
#775602
#775252
#774812
#774742
#774662
#771082
D3×#3942
#769142
#768912
#738052
#737872
#737752
#737712
#736092
#735772
#735602
#735442
#735252
#357163