Finite Group Databasebeta

← #10982014

Subgroups — #10982014

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×#2459C211yesmaximal, characteristic, complemented
2#82996C211yesmaximal, characteristic, complemented
3#82965C211yesmaximal, characteristic, complemented
4D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
5#82346C211yesmaximal, characteristic, complemented
6#77125C211yesmaximal, characteristic, complemented
7D3×#394C211yesmaximal, characteristic, complemented
8#76920C211yesmaximal, characteristic, complemented
9#76913C211yesmaximal, characteristic, complemented
10#76865C211yesmaximal, characteristic, complemented
11#76818C211yesmaximal, characteristic, complemented
12#76755C211yesmaximal, characteristic
13#76666C211yesmaximal, characteristic, complemented
14#76616C211yesmaximal, characteristic, complemented
15#76540C211yesmaximal, characteristic, complemented
16#75893C211yesmaximal, characteristic, complemented
17#75870C211yesmaximal, characteristic, complemented
18#75863C211yesmaximal, characteristic, complemented
19#75834C211yesmaximal, characteristic, complemented
20#75545C211yesmaximal, characteristic, complemented
21#75541C211yesmaximal, characteristic, complemented
22#75124C211yesmaximal, characteristic, complemented
23#75009C211yesmaximal, characteristic, complemented
24#74909C211yesmaximal, characteristic, complemented
25#74879C211yesmaximal, characteristic, complemented
26#74879C211yesmaximal, characteristic, complemented
27#74731C211yesmaximal, characteristic, complemented
28#74122C211yesmaximal, characteristic, complemented
29#74087C211yesmaximal, characteristic, complemented
30#73560C211yesmaximal, characteristic, complemented
31#73526C211yesmaximal, characteristic, complemented
32#35716—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#124C2211yescharacteristic, complemented
35C2×C3×C4×D4C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic, complemented
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×D4×Dic3C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic, complemented
43C2×D4×Dic3C2211yescharacteristic, complemented
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#926C2211yescharacteristic, complemented
47C2×#898C2211yescharacteristic, complemented
48C2×D3×C4⋊C4C2211yescharacteristic
49C2×#889C2211yescharacteristic, complemented
50C2×#884C2211yescharacteristic
51C2×#67⋊C4C2211yescharacteristic
52C2×D3×C22⋊C4C2211yescharacteristic
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×#877C2211yescharacteristic, complemented
58C3×#394C2211yescharacteristic
59C3×#394C2211yescharacteristic, complemented
60C3×#393C2211yescharacteristic, complemented
61C3×#392C2211yescharacteristic
62C3×#391C2211yescharacteristic, complemented
63C3×#388C2211yescharacteristic, complemented
64C3×#388C2211yescharacteristic, complemented
65C3×#388C2211yescharacteristic, complemented
66C3×#387C2211yescharacteristic, complemented
67C3×#386C2211yescharacteristic, complemented
68C3×#386C2211yescharacteristic, complemented
69C3×#381C2211yescharacteristic, complemented
70C3×C4×C22⋊C4C2211yescharacteristic, complemented
71#5231C2211yescharacteristic, complemented
72#5229C2211yescharacteristic, complemented
73#5223C2211yescharacteristic
74#5222C2211yescharacteristic
75#5222C2211yescharacteristic
76#5222C2211yescharacteristic, complemented
77#5222C2211yescharacteristic, complemented
78#5213C2211yescharacteristic
79#5213C2211yescharacteristic
80C4×#217C2211yescharacteristic, complemented
81C4×#217C2211yescharacteristic, complemented
82C4×#217C2211yescharacteristic, complemented
83#4992C2211yescharacteristic, complemented
84#4991C2211yescharacteristic
85#4989C2211yescharacteristic
86#4988C2211yescharacteristic
87#4987C2211yescharacteristic
88#4986C2211yescharacteristic, complemented
89#4981C2211yescharacteristic, complemented
90#4978C2211yescharacteristic, complemented
91#4978C2211yescharacteristic, complemented
92#4961C2211yescharacteristic
93#4961C2211yescharacteristic
94#4961C2211yescharacteristic
95#4961C2211yescharacteristic, complemented
96#4961C2211yescharacteristic, complemented
97#4959C2211yescharacteristic
98#4959C2211yescharacteristic
99#4959C2211yescharacteristic, complemented
100#4958C2211yescharacteristic
101#4958C2211yescharacteristic
102#4958C2211yescharacteristic, complemented
103#4958C2211yescharacteristic, complemented
104#4957C2211yescharacteristic, complemented
105#4957C2211yescharacteristic, complemented
106#4957C2211yescharacteristic, complemented
107#4956C2211yescharacteristic
108#4956C2211yescharacteristic
109#4956C2211yescharacteristic
110#4956C2211yescharacteristic
111#4956C2211yescharacteristic
112#4955C2211yescharacteristic
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4953C2211yescharacteristic, complemented
116#4953C2211yescharacteristic, complemented
117#4952C2211yescharacteristic, complemented
118#4952C2211yescharacteristic, complemented
119#4952C2211yescharacteristic, complemented
120#4952C2211yescharacteristic, complemented
121#4951C2211yescharacteristic, complemented
122#4951C2211yescharacteristic, complemented
123#4951C2211yescharacteristic, complemented
124#4949C2211yescharacteristic, complemented
125#4948C2211yescharacteristic, complemented
126#4948C2211yescharacteristic, complemented
127#4948C2211yescharacteristic, complemented
128#4946C2211yescharacteristic, complemented
129#4946C2211yescharacteristic, complemented
130#4944C2211yescharacteristic, complemented
131#4942C2211yescharacteristic, complemented
132#4942C2211yescharacteristic, complemented
133Dic3×C22⋊C4C2211yescharacteristic, complemented
134Dic3×C22⋊C4C2211yescharacteristic, complemented
135Dic3×C22⋊C4C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4939C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic
140C4×(C2×D3)⋊C4C2211yescharacteristic
141C4×(C2×D3)⋊C4C2211yescharacteristic
142C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
144#4937C2211yescharacteristic, complemented
145C4×Dic3⋊C4C2211yescharacteristic, complemented
146C4×Dic3⋊C4C2211yescharacteristic, complemented
147#4928C2211yescharacteristic, complemented
148#4675C2211yescharacteristic, complemented
149#4675C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4672C2211yescharacteristic
152#4670C2211yescharacteristic, complemented
153#4670C2211yescharacteristic, complemented
154#4670C2211yescharacteristic, complemented
155#4670C2211yescharacteristic, complemented
156#4669C2211yescharacteristic, complemented
157#4669C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic
170#4666C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175D3×#95C2211yescharacteristic
176C3⋊#401C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4661C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, 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#2459D311yescharacteristic, complemented
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×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C2×D3×D4—24no—
236C2×D3×D4—42no—
237C2×D3×D4—42no—
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C3×#124—42no—
247C3×C4×D4—42no—
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×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#946—24no—
282#946—42no—
283#938—42no—
284#937—24no—
285#937—24no—
286D4×Dic3—42no—
287D4×Dic3—42no—
288D4×Dic3—42no—
289C2×(C2×D3)⋊C4—24no—
290C2×(C2×D3)⋊C4—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318#926—42no—
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×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
349C2×C4×Dic3C2311yescharacteristic
350#898—42no—
351D3×C4⋊C4—42no—
352#889—42no—
353#884—42no—
354#67⋊C4—24no—
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×#124C2×D311yescharacteristic, complemented
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×#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#400—31no—
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#397—31no—
442#397—31no—
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, complemented
462#393—31no—
463#393C2×D311yescharacteristic, complemented
464#392—31no—
465#392C2×D311yescharacteristic
466#391—31no—
467#391C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
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#387—31no—
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, complemented
513#386C2×D311yescharacteristic, complemented
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#381C2×D311yescharacteristic, complemented
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⋊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⋊C4—31no—
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×Q8—22no—
577C2×C3×Q8—41no—
578C2×C3×Q8—41no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
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—22no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643D3×D4—416no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—41no—
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—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
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×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C22⋊C4—22no—
672C3×C22⋊C4—22no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—41no—
678C3×C22⋊C4—41no—
679C3×C22⋊C4—41no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C42—41no—
685C3×C42—41no—
686C3×C42—41no—
687#217—22no—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—41no—
696#217—41no—
697#217—41no—
698#217—41no—
699#217—41no—
700#217—41no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—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#4114yes—
727(C2×D3)⋊C4#4114yes—
728C4⋊Dic3—22no—
729C4⋊Dic3—22no—
730C4⋊Dic3—22no—
731C4⋊Dic3—22no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
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×Q8C22×D311yescharacteristic
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×C4—31no—
784C23×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786#126—122no—
787#125—122no—
788#124—42no—
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—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—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—122no—
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—64no—
869C2×C22⋊C4—64no—
870C2×C22⋊C4—64no—
871C2×C22⋊C4—64no—
872C2×C22⋊C4—122no—
873C2×C22⋊C4—122no—
874C2×C22⋊C4—122no—
875C2×C22⋊C4C22×D311yescharacteristic
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×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#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×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×Q8—82no—
999C3×D4—28no—
1000C3×D4—44no—
1001C3×D4—44no—
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—44no—
1036C2×C3×C4—82no—
1037C2×C3×C4C2×#4112yes—
1038C2×C3×C4C2×#4112yes—
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—44no—
1082C2×Dic3—82no—
1083C2×Dic3—82no—
1084C2×Dic3C2×#4112yes—
1085C2×Dic3C2×#4112yes—
1086C2×Dic3H(5,𝔽2)12yes—
1087D12—44no—
1088C4×D3—44no—
1089C4×D3—44no—
1090C4×D3—82no—
1091C4×D3—82no—
1092C4×D3—82no—
1093C4×D3—82no—
1094C4×D3—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—22no—
1116C2×Q8—41no—
1117C2×Q8—41no—
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—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—31no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
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×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—41no—
1209C4⋊C4—41no—
1210C4⋊C4—62no—
1211C4⋊C4—62no—
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—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—41no—
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—62no—
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×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—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—
1361Dic3—22no—
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—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—
1428C23#100412yes—
1429C23D3×#4112yes—
1430C23C24×D311yescharacteristic
1431Q8—82no—
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—21no—
1474C2×C4—32no—
1475C2×C4—32no—
1476C2×C4—32no—
1477C2×C4—44no—
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—61no—
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—242no—
1525C2×C4D3×#4112yes—
1526C2×C4D3×#4112yes—
1527C2×C4#100912yes—
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×D3×#4111yescharacteristic
1587C22C2×D3×#4111yescharacteristic
1588C22C2×D3×#4111yescharacteristic
1589C22C2×#100911yescharacteristic
1590C22D3×H(5,𝔽2)11yescharacteristic
1591C22#596611yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—62no—
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—81no—
1622C2—122no—
1623C2—241no—
1624C2#8604311yescharacteristic
1625C2D3×#52911yescharacteristic
1626C2#8641511yescharacteristic
1627C2#8663511yescharacteristic
1628C2#8663911yescharacteristic
1629C2#8696411yescharacteristic
1630C2#8705411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2459C2
prime radical#76755C2
hypercenter#2459D3
hypocenterC3#35716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. C3×#2459C2semidirect
2. #82996C2semidirect
3. #82965C2semidirect
4. D4×(C2×D3)⋊C4C2semidirect
5. #82346C2semidirect
6. #77125C2semidirect
7. D3×#394C2semidirect
8. #76920C2semidirect
9. #76913C2semidirect
10. #76865C2semidirect
11. #76818C2semidirect
13. #76666C2semidirect
14. #76616C2semidirect
15. #76540C2semidirect
16. #75893C2semidirect
17. #75870C2semidirect
18. #75863C2semidirect
19. #75834C2semidirect
20. #75545C2semidirect
21. #75541C2semidirect
22. #75124C2semidirect
23. #75009C2semidirect
24. #74909C2semidirect
25. #74879C2semidirect
26. #74879C2semidirect
27. #74731C2semidirect
28. #74122C2semidirect
29. #74087C2semidirect
30. #73560C2semidirect
31. #73526C2semidirect
34. C2×C3×#124C22semidirect
37. C2×#946C22semidirect
42. C2×D4×Dic3C22semidirect
43. C2×D4×Dic3C22semidirect
46. C2×#926C22semidirect
47. C2×#898C22semidirect
49. C2×#889C22semidirect
57. C2×#877C22semidirect
59. C3×#394C22semidirect
60. C3×#393C22semidirect
62. C3×#391C22semidirect
63. C3×#388C22semidirect
64. C3×#388C22semidirect
65. C3×#388C22semidirect
66. C3×#387C22semidirect
67. C3×#386C22semidirect
68. C3×#386C22semidirect
69. C3×#381C22semidirect
70. C3×C4×C22⋊C4C22semidirect
71. #5231C22semidirect
72. #5229C22semidirect
76. #5222C22semidirect
77. #5222C22semidirect
80. C4×#217C22semidirect
81. C4×#217C22semidirect
82. C4×#217C22semidirect
83. #4992C22semidirect
88. #4986C22semidirect
89. #4981C22semidirect
90. #4978C22semidirect
91. #4978C22semidirect
95. #4961C22semidirect
96. #4961C22semidirect
99. #4959C22semidirect
102. #4958C22semidirect
103. #4958C22semidirect
104. #4957C22semidirect
105. #4957C22semidirect
106. #4957C22semidirect
115. #4953C22semidirect
116. #4953C22semidirect
117. #4952C22semidirect
118. #4952C22semidirect
119. #4952C22semidirect
120. #4952C22semidirect
121. #4951C22semidirect
122. #4951C22semidirect
123. #4951C22semidirect
124. #4949C22semidirect
125. #4948C22semidirect
126. #4948C22semidirect
127. #4948C22semidirect
128. #4946C22semidirect
129. #4946C22semidirect
130. #4944C22semidirect
131. #4942C22semidirect
132. #4942C22semidirect
133. Dic3×C22⋊C4C22semidirect
134. Dic3×C22⋊C4C22semidirect
135. Dic3×C22⋊C4C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
142. C4×(C2×D3)⋊C4C22semidirect
143. C4×(C2×D3)⋊C4C22semidirect
144. #4937C22semidirect
145. C4×Dic3⋊C4C22semidirect
146. C4×Dic3⋊C4C22semidirect
147. #4928C22semidirect
148. #4675C22semidirect
149. #4675C22semidirect
150. #4675C22semidirect
152. #4670C22semidirect
153. #4670C22semidirect
154. #4670C22semidirect
155. #4670C22semidirect
156. #4669C22semidirect
157. #4669C22semidirect
158. #4669C22semidirect
159. #4669C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
168. #4667C22semidirect
172. #4666C22semidirect
173. #4666C22semidirect
176. C3⋊#401C22semidirect
177. #4661C22semidirect
178. #4661C22semidirect
179. #4659C22semidirect
180. #4655C22semidirect
181. #4655C22semidirect
182. #4654C22semidirect
183. #4654C22semidirect
184. #4653C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4649C22semidirect
205. #2459D3semidirect
404. C2×#124C2×D3semidirect
461. #394C2×D3semidirect
463. #393C2×D3semidirect
467. #391C2×D3semidirect
488. #388C2×D3semidirect
489. #388C2×D3semidirect
490. #388C2×D3semidirect
499. #387C2×D3semidirect
512. #386C2×D3semidirect
513. #386C2×D3semidirect
526. #381C2×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×#24592
#829962
#829652
D4×(C2×D3)⋊C42
#823462
#771252
D3×#3942
#769202
#769132
#768652
#768182
#767552
#766662
#766162
#765402
#758932
#758702
#758632
#758342
#755452
#755412
#751242
#750092
#749092
#748792
#747312
#741222
#740872
#735602
#735262
#357163