Finite Group Databasebeta

← #10982012

Subgroups — #10982012

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×#2392C211yesmaximal, characteristic, complemented
2#82408C211yesmaximal, characteristic, complemented
3#82398C211yesmaximal, characteristic, complemented
4#82398C211yesmaximal, characteristic, complemented
5D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6#82370C211yesmaximal, characteristic, complemented
7#82366C211yesmaximal, characteristic, complemented
8#82280C211yesmaximal, characteristic, complemented
9#82272C211yesmaximal, characteristic, complemented
10#77791C211yesmaximal, characteristic, complemented
11#77757C211yesmaximal, characteristic, complemented
12#77680C211yesmaximal, characteristic, complemented
13#77487C211yesmaximal, characteristic, complemented
14#77418C211yesmaximal, characteristic, complemented
15#77323C211yesmaximal, characteristic, complemented
16#77308C211yesmaximal, characteristic, complemented
17#77303C211yesmaximal, characteristic, complemented
18#77125C211yesmaximal, characteristic, complemented
19D3×#394C211yesmaximal, characteristic, complemented
20#76987C211yesmaximal, characteristic, complemented
21#76930C211yesmaximal, characteristic, complemented
22#76926C211yesmaximal, characteristic, complemented
23#76892C211yesmaximal, characteristic, complemented
24#76755C211yesmaximal, characteristic
25#76679C211yesmaximal, characteristic, complemented
26#73775C211yesmaximal, characteristic, complemented
27#73742C211yesmaximal, characteristic, complemented
28#73607C211yesmaximal, characteristic, complemented
29#73575C211yesmaximal, characteristic, complemented
30#73560C211yesmaximal, characteristic, complemented
31#73556C211yesmaximal, characteristic, complemented
32#35716—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×C3×#117C2211yescharacteristic, complemented
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#936C2211yescharacteristic, complemented
42C2×D4×Dic3C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#898C2211yescharacteristic, complemented
47C2×#897C2211yescharacteristic, complemented
48C2×#896C2211yescharacteristic
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×#889C2211yescharacteristic, complemented
51C2×#884C2211yescharacteristic
52C2×D3×C22⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×#877C2211yescharacteristic, complemented
58C3×#398C2211yescharacteristic, complemented
59C3×#397C2211yescharacteristic, complemented
60C3×#396C2211yescharacteristic, complemented
61C3×#396C2211yescharacteristic, complemented
62C3×#394C2211yescharacteristic
63C3×#394C2211yescharacteristic, complemented
64C3×#394C2211yescharacteristic, complemented
65C3×#392C2211yescharacteristic
66C3×C4×C4⋊C4C2211yescharacteristic, complemented
67C3×C4×C22⋊C4C2211yescharacteristic, complemented
68C3×C4×C22⋊C4C2211yescharacteristic, complemented
69#5223C2211yescharacteristic
70#5222C2211yescharacteristic
71#5222C2211yescharacteristic
72#5222C2211yescharacteristic, complemented
73#5220C2211yescharacteristic, complemented
74#5220C2211yescharacteristic, complemented
75#5213C2211yescharacteristic
76#5213C2211yescharacteristic
77#5213C2211yescharacteristic, complemented
78#5213C2211yescharacteristic, complemented
79#5212C2211yescharacteristic, complemented
80#5212C2211yescharacteristic, complemented
81#5210C2211yescharacteristic, complemented
82#5210C2211yescharacteristic, complemented
83C4×#217C2211yescharacteristic, complemented
84#4992C2211yescharacteristic, complemented
85#4992C2211yescharacteristic, complemented
86#4991C2211yescharacteristic
87#4990C2211yescharacteristic, complemented
88#4990C2211yescharacteristic, complemented
89#4990C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic, complemented
95#4989C2211yescharacteristic, complemented
96#4988C2211yescharacteristic
97#4987C2211yescharacteristic
98#4987C2211yescharacteristic
99#4984C2211yescharacteristic, complemented
100#4982C2211yescharacteristic, complemented
101#4980C2211yescharacteristic, complemented
102#4980C2211yescharacteristic, complemented
103#4980C2211yescharacteristic, complemented
104#4978C2211yescharacteristic, complemented
105#4977C2211yescharacteristic, complemented
106Dic3×C4⋊C4C2211yescharacteristic, complemented
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic, complemented
111#4959C2211yescharacteristic
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic, complemented
114#4959C2211yescharacteristic, complemented
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4957C2211yescharacteristic, complemented
118#4957C2211yescharacteristic, complemented
119#4957C2211yescharacteristic, complemented
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4953C2211yescharacteristic, complemented
129#4953C2211yescharacteristic, complemented
130#4953C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4948C2211yescharacteristic, complemented
136#4947C2211yescharacteristic, complemented
137#4945C2211yescharacteristic, complemented
138#4945C2211yescharacteristic, complemented
139#4945C2211yescharacteristic, complemented
140#4944C2211yescharacteristic, complemented
141#4944C2211yescharacteristic, complemented
142#4944C2211yescharacteristic, complemented
143#4943C2211yescharacteristic, complemented
144Dic3×C22⋊C4C2211yescharacteristic, complemented
145Dic3×C22⋊C4C2211yescharacteristic, complemented
146Dic3×C22⋊C4C2211yescharacteristic, complemented
147Dic3×C22⋊C4C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4940C2211yescharacteristic, complemented
152#4939C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic
154C4×(C2×D3)⋊C4C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
159#4933C2211yescharacteristic, complemented
160#4933C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162#4933C2211yescharacteristic, complemented
163#4929C2211yescharacteristic, complemented
164#4675C2211yescharacteristic, complemented
165#4675C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4672C2211yescharacteristic
168#4670C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4667C2211yescharacteristic, complemented
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179D3×#95C2211yescharacteristic
180C3⋊#401C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4651C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, 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#2395—31no—
210#2392D311yescharacteristic, complemented
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
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×D3×D4—24no—
235C2×D3×D4—42no—
236C2×D3×D4—42no—
237C22×D12C2311yescharacteristic
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×C4×D4—42no—
248C3×C4×D4—42no—
249C3×#117—42no—
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×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×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#938—42no—
289#937—24no—
290#937—24no—
291#936—42no—
292D4×Dic3—42no—
293C4×#67—24no—
294C2×(C2×D3)⋊C4—24no—
295C2×(C2×D3)⋊C4—24no—
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349#898—42no—
350#897—42no—
351#896—24no—
352D3×C4⋊C4—42no—
353#889—42no—
354#884—42no—
355D3×C22⋊C4—24no—
356D3×C22⋊C4—24no—
357D3×C22⋊C4—42no—
358D3×C22⋊C4—42no—
359D3×C22⋊C4—42no—
360#877—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×D4C2×D311yescharacteristic
414C2×C4×D4C2×D311yescharacteristic, complemented
415C2×C4×D4C2×D311yescharacteristic, complemented
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#400—31no—
429#399—31no—
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#397—31no—
441#397—31no—
442#397C2×D311yescharacteristic, complemented
443#396—31no—
444#396C2×D311yescharacteristic, complemented
445#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
460#394C2×D311yescharacteristic, complemented
461#394C2×D311yescharacteristic, complemented
462#393—31no—
463#393—31no—
464#392—31no—
465#392C2×D311yescharacteristic
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⋊C4—31no—
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⋊C4—31no—
553C4×C22⋊C4C2×D311yescharacteristic, complemented
554C4×C22⋊C4C2×D311yescharacteristic, complemented
555C2×#95—31no—
556C24×C3C2411yescharacteristic
557C24×C3C2411yescharacteristic
558C24×C3C2411yescharacteristic
559C23×D3—22no—
560C23×D3—22no—
561C23×D3—22no—
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—22no—
565C23×D3—41no—
566C23×D3—41no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3#4114yes—
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—22no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—41no—
583C2×C3×D4—41no—
584C2×C3×D4—41no—
585C22×C3×C4—22no—
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640D3×D4—416no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—41no—
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—22no—
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—22no—
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—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C42—22no—
688C3×C42—41no—
689C3×C42—41no—
690C3×C42—41no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—41no—
700#217—41no—
701#217—41no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217—41no—
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—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#4114yes—
732(C2×D3)⋊C4#4114yes—
733C4⋊Dic3—22no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738C4⋊Dic3—41no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
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—64no—
769C22×D4—122no—
770C22×D4—122no—
771C22×D4C22×D311yescharacteristic
772C22×D4C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
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—42no—
797C4×D4—42no—
798C4×D4—64no—
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—64no—
870C2×C22⋊C4—64no—
871C2×C22⋊C4—64no—
872C2×C22⋊C4—64no—
873C2×C22⋊C4—122no—
874C2×C22⋊C4—122no—
875C2×C22⋊C4—122no—
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
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×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#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
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×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3C2×#4112yes—
961C23×C3H(5,𝔽2)12yes—
962C23×C3C2511yescharacteristic
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—21no—
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—28no—
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—
999C3×D4—44no—
1000C3×D4—44no—
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—44no—
1034C2×C3×C4—82no—
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—82no—
1044#67—82no—
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—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—44no—
1083C2×Dic3—82no—
1084C2×Dic3C2×#4112yes—
1085C2×Dic3C2×#4112yes—
1086D12—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—62no—
1100C24—62no—
1101C24—62no—
1102C24—62no—
1103C24—62no—
1104C24—62no—
1105C24—121no—
1106C24—121no—
1107C24—121no—
1108C24—121no—
1109C24—121no—
1110C24—121no—
1111C24—121no—
1112C24C23×D311yescharacteristic
1113C24C23×D311yescharacteristic
1114C24C23×D311yescharacteristic
1115C2×Q8—62no—
1116C2×Q8—121no—
1117C2×Q8—121no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
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—62no—
1136C2×D4—62no—
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—22no—
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—31no—
1162C22×C4—31no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
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—62no—
1179C22×C4—62no—
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×C4—121no—
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—22no—
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—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
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—41no—
1244C22⋊C4—41no—
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—62no—
1267C22⋊C4—62no—
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—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×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3C22×#4111yescharacteristic
1320C22×C3C22×#4111yescharacteristic
1321C22×C3C22×#4111yescharacteristic
1322C22×C3C2×H(5,𝔽2)11yescharacteristic
1323C22×C3C2×H(5,𝔽2)11yescharacteristic
1324C22×C3C2×H(5,𝔽2)11yescharacteristic
1325C22×C3#58511yescharacteristic
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
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—
1361Dic3—22no—
1362Dic3—22no—
1363Dic3—41no—
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—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—32no—
1394C23—32no—
1395C23—32no—
1396C23—32no—
1397C23—68no—
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—28no—
1433D4—44no—
1434D4—44no—
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—32no—
1474C2×C4—32no—
1475C2×C4—44no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—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—82no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—242no—
1519C2×C4—242no—
1520C2×C4—242no—
1521C2×C4—242no—
1522C2×C4—242no—
1523C2×C4—242no—
1524C2×C4#100412yes—
1525C2×C4#100412yes—
1526C2×C4D3×#4112yes—
1527C2×C4D3×#4112yes—
1528C2×C3—42no—
1529C2×C3—42no—
1530C2×C3—81no—
1531C2×C3C2×#52911yescharacteristic
1532C2×C3#349011yescharacteristic
1533C2×C3#350511yescharacteristic
1534C2×C3#351311yescharacteristic
1535C2×C3#351411yescharacteristic
1536C2×C3#351911yescharacteristic
1537C2×C3#351911yescharacteristic
1538D3—24no—
1539D3—42no—
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—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
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×#100411yescharacteristic
1587C22C2×D3×#4111yescharacteristic
1588C22C2×D3×#4111yescharacteristic
1589C22C2×D3×#4111yescharacteristic
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—62no—
1605C4—62no—
1606C4—121no—
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—81no—
1622C2—122no—
1623C2—241no—
1624C2#8595111yescharacteristic
1625C2#8604311yescharacteristic
1626C2#8604411yescharacteristic
1627C2#8604611yescharacteristic
1628C2D3×#52911yescharacteristic
1629C2#8616111yescharacteristic
1630C2#8624611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2392C2
prime radical#76755C2
hypercenter#2392D3
hypocenterC3#35716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C3×#2392C2semidirect
2. #82408C2semidirect
3. #82398C2semidirect
4. #82398C2semidirect
5. D4×(C2×D3)⋊C4C2semidirect
6. #82370C2semidirect
7. #82366C2semidirect
8. #82280C2semidirect
9. #82272C2semidirect
10. #77791C2semidirect
11. #77757C2semidirect
12. #77680C2semidirect
13. #77487C2semidirect
14. #77418C2semidirect
15. #77323C2semidirect
16. #77308C2semidirect
17. #77303C2semidirect
18. #77125C2semidirect
19. D3×#394C2semidirect
20. #76987C2semidirect
21. #76930C2semidirect
22. #76926C2semidirect
23. #76892C2semidirect
25. #76679C2semidirect
26. #73775C2semidirect
27. #73742C2semidirect
28. #73607C2semidirect
29. #73575C2semidirect
30. #73560C2semidirect
31. #73556C2semidirect
35. C2×C3×C4×D4C22semidirect
36. C2×C3×C4×D4C22semidirect
37. C2×C3×#117C22semidirect
41. C2×#936C22semidirect
46. C2×#898C22semidirect
47. C2×#897C22semidirect
50. C2×#889C22semidirect
57. C2×#877C22semidirect
58. C3×#398C22semidirect
59. C3×#397C22semidirect
60. C3×#396C22semidirect
61. C3×#396C22semidirect
63. C3×#394C22semidirect
64. C3×#394C22semidirect
66. C3×C4×C4⋊C4C22semidirect
67. C3×C4×C22⋊C4C22semidirect
68. C3×C4×C22⋊C4C22semidirect
72. #5222C22semidirect
73. #5220C22semidirect
74. #5220C22semidirect
77. #5213C22semidirect
78. #5213C22semidirect
79. #5212C22semidirect
80. #5212C22semidirect
81. #5210C22semidirect
82. #5210C22semidirect
83. C4×#217C22semidirect
84. #4992C22semidirect
85. #4992C22semidirect
87. #4990C22semidirect
88. #4990C22semidirect
89. #4990C22semidirect
90. #4990C22semidirect
94. #4989C22semidirect
95. #4989C22semidirect
99. #4984C22semidirect
100. #4982C22semidirect
101. #4980C22semidirect
102. #4980C22semidirect
103. #4980C22semidirect
104. #4978C22semidirect
105. #4977C22semidirect
106. Dic3×C4⋊C4C22semidirect
110. #4961C22semidirect
113. #4959C22semidirect
114. #4959C22semidirect
117. #4957C22semidirect
118. #4957C22semidirect
119. #4957C22semidirect
128. #4953C22semidirect
129. #4953C22semidirect
130. #4953C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
133. #4951C22semidirect
134. #4949C22semidirect
135. #4948C22semidirect
136. #4947C22semidirect
137. #4945C22semidirect
138. #4945C22semidirect
139. #4945C22semidirect
140. #4944C22semidirect
141. #4944C22semidirect
142. #4944C22semidirect
143. #4943C22semidirect
144. Dic3×C22⋊C4C22semidirect
145. Dic3×C22⋊C4C22semidirect
146. Dic3×C22⋊C4C22semidirect
147. Dic3×C22⋊C4C22semidirect
148. #4940C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
151. #4940C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
158. C4×(C2×D3)⋊C4C22semidirect
159. #4933C22semidirect
160. #4933C22semidirect
161. #4933C22semidirect
162. #4933C22semidirect
163. #4929C22semidirect
164. #4675C22semidirect
165. #4675C22semidirect
166. #4673C22semidirect
168. #4670C22semidirect
169. #4670C22semidirect
173. #4667C22semidirect
176. #4666C22semidirect
177. #4666C22semidirect
180. C3⋊#401C22semidirect
181. #4660C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4655C22semidirect
185. #4651C22semidirect
186. #4649C22semidirect
187. #4646C22semidirect
210. #2392D3semidirect
414. C2×C4×D4C2×D3semidirect
415. C2×C4×D4C2×D3semidirect
417. C2×#117C2×D3semidirect
432. #398C2×D3semidirect
442. #397C2×D3semidirect
444. #396C2×D3semidirect
445. #396C2×D3semidirect
460. #394C2×D3semidirect
461. #394C2×D3semidirect
537. C4×C4⋊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×#23922
#824082
#823982
D4×(C2×D3)⋊C42
#823702
#823662
#822802
#822722
#777912
#777572
#776802
#774872
#774182
#773232
#773082
#773032
#771252
D3×#3942
#769872
#769302
#769262
#768922
#767552
#766792
#737752
#737422
#736072
#735752
#735602
#735562
#357163