Finite Group Databasebeta

← #11043586

Subgroups — #11043586

Order 768.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2342C211yesmaximal, characteristic, complemented
2#82267C211yesmaximal, characteristic, complemented
3#82242C211yesmaximal, characteristic, complemented
4#82126C211yesmaximal, characteristic, complemented
5C2×#4956C211yesmaximal, characteristic, complemented
6#82108C211yesmaximal, characteristic, complemented
7#82106C211yesmaximal, characteristic, complemented
8#75952C211yesmaximal, characteristic, complemented
9#75950C211yesmaximal, characteristic, complemented
10#75947C211yesmaximal, characteristic, complemented
11#75921C211yesmaximal, characteristic, complemented
12#75903C211yesmaximal, characteristic, complemented
13#75887C211yesmaximal, characteristic, complemented
14#75659C211yesmaximal, characteristic, complemented
15#75631C211yesmaximal, characteristic, complemented
16#74649C211yesmaximal, characteristic, complemented
17#74637C211yesmaximal, characteristic, complemented
18#74569C211yesmaximal, characteristic, complemented
19#74519C211yesmaximal, characteristic, complemented
20#74146C211yesmaximal, characteristic, complemented
21#74067C211yesmaximal, characteristic, complemented
22#73909C211yesmaximal, characteristic, complemented
23#73890C211yesmaximal, characteristic, complemented
24#73835C211yesmaximal, characteristic, complemented
25#73824C211yesmaximal, characteristic
26#73601C211yesmaximal, characteristic, complemented
27#73594C211yesmaximal, characteristic, complemented
28#73570C211yesmaximal, characteristic, complemented
29#73546C211yesmaximal, characteristic, complemented
30#73509C211yesmaximal, characteristic, complemented
31#73451C211yesmaximal, characteristic, complemented
32#38396—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C2×#929C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C2×#926C2211yescharacteristic
45C2×#898C2211yescharacteristic, complemented
46C2×#886C2211yescharacteristic
47C2×#884C2211yescharacteristic
48C2×#884C2211yescharacteristic
49C2×#882C2211yescharacteristic
50C2×#67⋊C4C2211yescharacteristic
51C2×#878C2211yescharacteristic
52C2×#875C2211yescharacteristic, complemented
53C3×#388C2211yescharacteristic, complemented
54C3×#388C2211yescharacteristic, complemented
55C3×#388C2211yescharacteristic, complemented
56C3×#388C2211yescharacteristic, complemented
57C3×#385C2211yescharacteristic, complemented
58C3×#385C2211yescharacteristic, complemented
59C3×#381C2211yescharacteristic
60C3×#380C2211yescharacteristic
61C3×#379C2211yescharacteristic
62C3×C4×C22⋊C4C2211yescharacteristic
63C3×C4×C22⋊C4C2211yescharacteristic, complemented
64C3×C4×C22⋊C4C2211yescharacteristic, complemented
65#5247C2211yescharacteristic
66#5213C2211yescharacteristic
67#5213C2211yescharacteristic
68#5213C2211yescharacteristic
69#5213C2211yescharacteristic, complemented
70#5213C2211yescharacteristic, complemented
71#5212C2211yescharacteristic, complemented
72#5212C2211yescharacteristic, complemented
73#5210C2211yescharacteristic
74C2×C3⋊#95C2211yescharacteristic
75C2×C3⋊#95C2211yescharacteristic
76#4994C2211yescharacteristic, complemented
77#4992C2211yescharacteristic, complemented
78#4992C2211yescharacteristic, complemented
79#4990C2211yescharacteristic, complemented
80#4990C2211yescharacteristic, complemented
81#4989C2211yescharacteristic, complemented
82#4989C2211yescharacteristic, complemented
83#4987C2211yescharacteristic, complemented
84#4987C2211yescharacteristic, complemented
85#4987C2211yescharacteristic, complemented
86#4987C2211yescharacteristic, complemented
87#4982C2211yescharacteristic, complemented
88#4980C2211yescharacteristic, complemented
89#4978C2211yescharacteristic, complemented
90#4976C2211yescharacteristic, complemented
91#4961C2211yescharacteristic, complemented
92#4961C2211yescharacteristic, complemented
93#4961C2211yescharacteristic, complemented
94#4961C2211yescharacteristic, complemented
95#4960C2211yescharacteristic
96#4960C2211yescharacteristic
97#4959C2211yescharacteristic
98#4959C2211yescharacteristic
99#4959C2211yescharacteristic
100#4959C2211yescharacteristic
101#4959C2211yescharacteristic
102#4959C2211yescharacteristic
103#4958C2211yescharacteristic
104#4957C2211yescharacteristic
105#4957C2211yescharacteristic
106#4957C2211yescharacteristic, complemented
107#4957C2211yescharacteristic, complemented
108#4956C2211yescharacteristic
109#4956C2211yescharacteristic
110#4956C2211yescharacteristic
111#4956C2211yescharacteristic
112#4956C2211yescharacteristic
113#4956C2211yescharacteristic
114#4956C2211yescharacteristic
115#4956C2211yescharacteristic
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4953C2211yescharacteristic, complemented
120#4953C2211yescharacteristic, complemented
121#4952C2211yescharacteristic, complemented
122#4952C2211yescharacteristic, complemented
123#4951C2211yescharacteristic, complemented
124#4951C2211yescharacteristic, complemented
125#4950C2211yescharacteristic
126#4948C2211yescharacteristic, complemented
127#4948C2211yescharacteristic, complemented
128#4947C2211yescharacteristic, complemented
129#4947C2211yescharacteristic, complemented
130#4946C2211yescharacteristic
131#4946C2211yescharacteristic
132#4945C2211yescharacteristic, complemented
133#4945C2211yescharacteristic, complemented
134#4944C2211yescharacteristic, complemented
135#4944C2211yescharacteristic, complemented
136#4943C2211yescharacteristic
137#4943C2211yescharacteristic
138#4943C2211yescharacteristic
139#4942C2211yescharacteristic
140Dic3×C22⋊C4C2211yescharacteristic
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4937C2211yescharacteristic, complemented
151#4933C2211yescharacteristic, complemented
152#4933C2211yescharacteristic, complemented
153#4933C2211yescharacteristic, complemented
154#4933C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156#4675C2211yescharacteristic, complemented
157#4675C2211yescharacteristic, complemented
158#4674C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4664C2211yescharacteristic, complemented
174C3⋊#401C2211yescharacteristic, complemented
175#4661C2211yescharacteristic, complemented
176#4660C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2849—31no—
189#2786—31no—
190#2784—31no—
191#2779—31no—
192#2778—31no—
193#2756—31no—
194#2708—31no—
195#2695—31no—
196#2686—31no—
197#2653—31no—
198#2648—31no—
199#2595—31no—
200#2578—31no—
201#2561—31no—
202#2559—31no—
203#2557—31no—
204#2493—31no—
205#2480—31no—
206#2472—31no—
207#2438—31no—
208#2419—31no—
209#2412—31no—
210#2411—31no—
211#2408—31no—
212#2405—31no—
213#2359—31no—
214#2342D311yescharacteristic, complemented
215#2335—31no—
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67—24no—
226C22×#67—42no—
227C22×#67—42no—
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—42no—
242C22×C4×D3—42no—
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#117—42no—
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4—24no—
255C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274#953—42no—
275C2×#217—42no—
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#929—24no—
290#929—24no—
291#929—42no—
292C2×(C2×D3)⋊C4—42no—
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320#926—42no—
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346#898—42no—
347#886—42no—
348#884—24no—
349#884—42no—
350#882—42no—
351#67⋊C4—42no—
352#878—42no—
353#875—42no—
354C3×#95C2311yescharacteristic
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
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
398C23×D4—31no—
399C24×C4—31no—
400C2×#126—31no—
401C2×#124—31no—
402C2×#123—31no—
403C2×#123—31no—
404C2×#123—31no—
405C2×#123—31no—
406C2×C22⋊Q8—31no—
407C2×#121—31no—
408C2×#121—31no—
409C2×#120—31no—
410C2×#120—31no—
411C2×C4×D4—31no—
412C2×#117—31no—
413C2×#117C2×D311yescharacteristic
414C22×C22⋊C4—31no—
415C22×C22⋊C4—31no—
416C22×C22⋊C4C2×D311yescharacteristic
417C22×C22⋊C4C2×D311yescharacteristic
418#401—31no—
419#400—31no—
420#400—31no—
421#400—31no—
422#400—31no—
423#400—31no—
424#398—31no—
425#398—31no—
426#398—31no—
427#397—31no—
428#397—31no—
429#397—31no—
430#397—31no—
431#397—31no—
432#397—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#396—31no—
438#396—31no—
439#396—31no—
440#395—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#393—31no—
454#393—31no—
455#393—31no—
456#392—31no—
457#392—31no—
458#391—31no—
459#390—31no—
460#390—31no—
461#390—31no—
462#390—31no—
463#390—31no—
464#389—31no—
465#389—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388C2×D311yescharacteristic, complemented
480#388C2×D311yescharacteristic, complemented
481#388C2×D311yescharacteristic, complemented
482#388C2×D311yescharacteristic, complemented
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#386—31no—
493#386—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—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#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385C2×D311yescharacteristic, complemented
521#385C2×D311yescharacteristic, complemented
522#383—31no—
523#381—31no—
524#381—31no—
525#381—31no—
526#381—31no—
527#381C2×D311yescharacteristic
528#380—31no—
529#380—31no—
530#380—31no—
531#380—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#380C2×D311yescharacteristic
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379C2×D311yescharacteristic
541C4×C4⋊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⋊C4C2×D311yescharacteristic
549C4×C22⋊C4C2×D311yescharacteristic, complemented
550C4×C22⋊C4C2×D311yescharacteristic, complemented
551C2×#95—31no—
552C2×#95—31no—
553C24×C3—22no—
554C24×C3—22no—
555C24×C3—22no—
556C24×C3—22no—
557C24×C3—41no—
558C24×C3—41no—
559C24×C3—41no—
560C24×C3C2411yescharacteristic
561C24×C3C2411yescharacteristic
562C24×C3C2411yescharacteristic
563C23×D3—22no—
564C23×D3—22no—
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—41no—
569C23×D3—41no—
570C23×D3C2411yescharacteristic
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C22×C3×C4—22no—
574C22×C3×C4—22no—
575C22×C3×C4—22no—
576C22×C3×C4—22no—
577C22×C3×C4—41no—
578C22×C3×C4—41no—
579C22×C3×C4—41no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4#4114yes—
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
597C2×#67—22no—
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C2×#67—41no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—416no—
618C2×#67#4114yes—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—41no—
644C2×D12—41no—
645C2×D12—41no—
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—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—416no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×Dic6—41no—
664C2×Dic6—41no—
665C2×Dic6—41no—
666C3×C4⋊C4—41no—
667C3×C4⋊C4—41no—
668C3×C4⋊C4—41no—
669C3×C4⋊C4—41no—
670C3×C22⋊C4—22no—
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—22no—
678C3×C22⋊C4—22no—
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—
687C3×C42—41no—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—22no—
692#217—41no—
693#217—41no—
694#217—41no—
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—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728C4⋊Dic3—41no—
729C4⋊Dic3—41no—
730C4⋊Dic3—41no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C25—31no—
754C25C22×D311yescharacteristic
755C22×Q8—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4—31no—
760C22×D4—31no—
761C22×D4—31no—
762C22×D4—31no—
763C22×D4—31no—
764C22×D4—31no—
765C22×D4—64no—
766C22×D4—122no—
767C22×D4—122no—
768C23×C4—31no—
769C23×C4—31no—
770C23×C4—31no—
771C23×C4—31no—
772C23×C4—31no—
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—64no—
777C23×C4—122no—
778C23×C4—122no—
779C23×C4C22×D311yescharacteristic
780C23×C4C22×D311yescharacteristic
781C23×C4C22×D311yescharacteristic
782C23×C4C22×D311yescharacteristic
783#126—122no—
784#124—122no—
785#123—64no—
786#123—64no—
787#123—122no—
788#123—122no—
789C22⋊Q8—122no—
790#121—64no—
791#121—122no—
792#120—122no—
793#120—122no—
794C4×D4—122no—
795#117—42no—
796#117—122no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C22⋊C4—24no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
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—42no—
863C2×C22⋊C4—122no—
864C2×C22⋊C4—122no—
865C2×C22⋊C4C22×D311yescharacteristic
866C2×C22⋊C4C22×D311yescharacteristic
867C2×C22⋊C4C22×D311yescharacteristic
868C2×C22⋊C4C22×D311yescharacteristic
869C2×C22⋊C4C22×D311yescharacteristic
870C2×C22⋊C4C22×D311yescharacteristic
871C2×C22⋊C4C22×D311yescharacteristic
872C2×C22⋊C4C22×D311yescharacteristic
873C2×C22⋊C4C22×D311yescharacteristic
874C2×C22⋊C4C22×D311yescharacteristic
875C2×C22⋊C4C22×D311yescharacteristic
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C42—31no—
880C2×C42—31no—
881C2×C42—31no—
882C2×C42—31no—
883C2×C42—31no—
884C2×C42C22×D311yescharacteristic
885C2×C42C22×D311yescharacteristic
886C2×C42C22×D311yescharacteristic
887C2×C42C22×D311yescharacteristic
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
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#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931#95C22×D311yescharacteristic
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—21no—
935C23×C3—21no—
936C23×C3—21no—
937C23×C3—21no—
938C23×C3—21no—
939C23×C3—21no—
940C23×C3—21no—
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—44no—
950C23×C3—44no—
951C23×C3—44no—
952C23×C3—44no—
953C23×C3—82no—
954C23×C3—82no—
955C23×C3—82no—
956C23×C3C2×#4112yes—
957C23×C3C2×#4112yes—
958C23×C3H(5,𝔽2)12yes—
959C23×C3H(5,𝔽2)12yes—
960C23×C3C2511yescharacteristic
961C22×D3—28no—
962C22×D3—21no—
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—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×D3C2×#4112yes—
988C22×D3H(5,𝔽2)12yes—
989C2×C3×C4—28no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
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—82no—
1025C2×C3×C4—82no—
1026C2×C3×C4—82no—
1027C2×C3×C4C2×#4112yes—
1028C2×C3×C4C2×#4112yes—
1029#67—44no—
1030#67—44no—
1031#67—44no—
1032#67—44no—
1033#67—44no—
1034#67—82no—
1035#67—82no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
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—44no—
1075C2×Dic3—44no—
1076C2×Dic3—82no—
1077C2×Dic3C2×#4112yes—
1078D12—82no—
1079D12—82no—
1080C4×D3—44no—
1081C4×D3—44no—
1082C4×D3—44no—
1083C4×D3—44no—
1084C4×D3—82no—
1085Dic6—82no—
1086C24—22no—
1087C24—22no—
1088C24—22no—
1089C24—22no—
1090C24—31no—
1091C24—31no—
1092C24—31no—
1093C24—41no—
1094C24—41no—
1095C24—41no—
1096C24—62no—
1097C24—62no—
1098C24—62no—
1099C24—62no—
1100C24—62no—
1101C24—121no—
1102C24—121no—
1103C24C23×D311yescharacteristic
1104C24C23×D311yescharacteristic
1105C24C23×D311yescharacteristic
1106C2×Q8—121no—
1107C2×Q8—121no—
1108C2×Q8—121no—
1109C2×D4—34no—
1110C2×D4—62no—
1111C2×D4—62no—
1112C2×D4—62no—
1113C2×D4—62no—
1114C2×D4—62no—
1115C2×D4—62no—
1116C2×D4—62no—
1117C2×D4—62no—
1118C2×D4—62no—
1119C2×D4—62no—
1120C2×D4—62no—
1121C2×D4—121no—
1122C2×D4—121no—
1123C2×D4—121no—
1124C2×D4—121no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4—121no—
1131C2×D4—121no—
1132C2×D4—121no—
1133C2×D4—121no—
1134C2×D4—121no—
1135C2×D4—121no—
1136C2×D4—1216no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—31no—
1142C22×C4—31no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
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—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4—121no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—1216no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4#23514yes—
1187C22×C4C23×D311yescharacteristic
1188C22×C4C23×D311yescharacteristic
1189C22×C4C23×D311yescharacteristic
1190C22×C4C23×D311yescharacteristic
1191C22×C4C23×D311yescharacteristic
1192C22×C4C23×D311yescharacteristic
1193C22×C4C23×D311yescharacteristic
1194C22×C4C23×D311yescharacteristic
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—62no—
1204C4⋊C4—62no—
1205C4⋊C4—62no—
1206C4⋊C4—62no—
1207C4⋊C4—62no—
1208C4⋊C4—121no—
1209C4⋊C4—121no—
1210C4⋊C4—121no—
1211C4⋊C4—121no—
1212C4⋊C4—121no—
1213C4⋊C4—121no—
1214C4⋊C4—121no—
1215C4⋊C4—121no—
1216C4⋊C4—121no—
1217C4⋊C4—121no—
1218C4⋊C4—121no—
1219C4⋊C4—121no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—62no—
1238C22⋊C4—62no—
1239C22⋊C4—62no—
1240C22⋊C4—62no—
1241C22⋊C4—62no—
1242C22⋊C4—62no—
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—121no—
1252C22⋊C4—121no—
1253C22⋊C4—121no—
1254C22⋊C4—121no—
1255C22⋊C4—121no—
1256C22⋊C4—121no—
1257C22⋊C4—121no—
1258C22⋊C4—121no—
1259C22⋊C4—121no—
1260C22⋊C4—121no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
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—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—121no—
1282C42—121no—
1283C42—121no—
1284C42—121no—
1285C42—121no—
1286C22×C3—22no—
1287C22×C3—22no—
1288C22×C3—22no—
1289C22×C3—22no—
1290C22×C3—22no—
1291C22×C3—22no—
1292C22×C3—22no—
1293C22×C3—22no—
1294C22×C3—22no—
1295C22×C3—41no—
1296C22×C3—41no—
1297C22×C3—41no—
1298C22×C3—41no—
1299C22×C3—41no—
1300C22×C3—41no—
1301C22×C3—41no—
1302C22×C3—41no—
1303C22×C3—41no—
1304C22×C3—41no—
1305C22×C3—41no—
1306C22×C3—88no—
1307C22×C3#53814yes—
1308C22×C3C22×#4111yescharacteristic
1309C22×C3C22×#4111yescharacteristic
1310C22×C3C2×H(5,𝔽2)11yescharacteristic
1311C22×C3C2×H(5,𝔽2)11yescharacteristic
1312C22×C3C2×H(5,𝔽2)11yescharacteristic
1313C22×C3#58511yescharacteristic
1314C22×C3#58511yescharacteristic
1315C2×D3—22no—
1316C2×D3—22no—
1317C2×D3—22no—
1318C2×D3—22no—
1319C2×D3—22no—
1320C2×D3—22no—
1321C2×D3—416no—
1322C2×D3—41no—
1323C2×D3—41no—
1324C2×D3—41no—
1325C2×D3—41no—
1326C2×D3—41no—
1327C2×D3—41no—
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—
1337C3×C4—22no—
1338C3×C4—22no—
1339C3×C4—41no—
1340C3×C4—41no—
1341C3×C4—41no—
1342C3×C4—41no—
1343C3×C4—41no—
1344C3×C4—41no—
1345C3×C4—41no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349Dic3—22no—
1350Dic3—41no—
1351Dic3—41no—
1352Dic3—41no—
1353Dic3—41no—
1354Dic3—41no—
1355Dic3—41no—
1356Dic3—41no—
1357Dic3—41no—
1358Dic3—41no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—32no—
1380C23—32no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—68no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—124no—
1409C23—124no—
1410C23—124no—
1411C23—124no—
1412C23—124no—
1413C23—124no—
1414C23C2×#23512yes—
1415C23#100412yes—
1416C23D3×#4112yes—
1417C23#100912yes—
1418C23C24×D311yescharacteristic
1419Q8—242no—
1420D4—124no—
1421D4—124no—
1422D4—124no—
1423D4—124no—
1424D4—124no—
1425D4—242no—
1426D4—242no—
1427D4—242no—
1428D4—242no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—28no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—32no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—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—82no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—124no—
1507C2×C4—124no—
1508C2×C4—124no—
1509C2×C4—124no—
1510C2×C4—124no—
1511C2×C4—124no—
1512C2×C4—242no—
1513C2×C4—242no—
1514C2×C4C2×#23512yes—
1515C2×C4C2×#23512yes—
1516C2×C3—24no—
1517C2×C3—42no—
1518C2×C3—81no—
1519C2×C3C2×#53811yescharacteristic
1520C2×C3#347511yescharacteristic
1521C2×C3#349011yescharacteristic
1522C2×C3#349411yescharacteristic
1523C2×C3#351311yescharacteristic
1524C2×C3#353311yescharacteristic
1525C2×C3#353411yescharacteristic
1526D3—42no—
1527D3—42no—
1528D3—81no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—62no—
1553C22—62no—
1554C22—62no—
1555C22—88no—
1556C22—1216no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22#556014yes—
1573C22C22×#23511yescharacteristic
1574C22C2×#100411yescharacteristic
1575C22C2×D3×#4111yescharacteristic
1576C22C2×#100911yescharacteristic
1577C22#596411yescharacteristic
1578C22D3×H(5,𝔽2)11yescharacteristic
1579C22#596611yescharacteristic
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—62no—
1593C4—121no—
1594C4—121no—
1595C4—121no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C3#3839611yescharacteristic, complemented, Sylow
1606C2—24no—
1607C2—42no—
1608C2—81no—
1609C2—122no—
1610C2—122no—
1611C2—241no—
1612C2#8574411yescharacteristic
1613C2C2×#556011yescharacteristic
1614C2#8586911yescharacteristic
1615C2#8666411yescharacteristic
1616C2#8666811yescharacteristic
1617C2#8679511yescharacteristic
1618C2#8680111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2342C2
prime radical#73824C2
hypercenter#2342D3
hypocenterC3#38396
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
1. C3×#2342C2semidirect
2. #82267C2semidirect
3. #82242C2semidirect
4. #82126C2semidirect
5. C2×#4956C2semidirect
6. #82108C2semidirect
7. #82106C2semidirect
8. #75952C2semidirect
9. #75950C2semidirect
10. #75947C2semidirect
11. #75921C2semidirect
12. #75903C2semidirect
13. #75887C2semidirect
14. #75659C2semidirect
15. #75631C2semidirect
16. #74649C2semidirect
17. #74637C2semidirect
18. #74569C2semidirect
19. #74519C2semidirect
20. #74146C2semidirect
21. #74067C2semidirect
22. #73909C2semidirect
23. #73890C2semidirect
24. #73835C2semidirect
26. #73601C2semidirect
27. #73594C2semidirect
28. #73570C2semidirect
29. #73546C2semidirect
30. #73509C2semidirect
31. #73451C2semidirect
45. C2×#898C22semidirect
52. C2×#875C22semidirect
53. C3×#388C22semidirect
54. C3×#388C22semidirect
55. C3×#388C22semidirect
56. C3×#388C22semidirect
57. C3×#385C22semidirect
58. C3×#385C22semidirect
63. C3×C4×C22⋊C4C22semidirect
64. C3×C4×C22⋊C4C22semidirect
69. #5213C22semidirect
70. #5213C22semidirect
71. #5212C22semidirect
72. #5212C22semidirect
76. #4994C22semidirect
77. #4992C22semidirect
78. #4992C22semidirect
79. #4990C22semidirect
80. #4990C22semidirect
81. #4989C22semidirect
82. #4989C22semidirect
83. #4987C22semidirect
84. #4987C22semidirect
85. #4987C22semidirect
86. #4987C22semidirect
87. #4982C22semidirect
88. #4980C22semidirect
89. #4978C22semidirect
90. #4976C22semidirect
91. #4961C22semidirect
92. #4961C22semidirect
93. #4961C22semidirect
94. #4961C22semidirect
106. #4957C22semidirect
107. #4957C22semidirect
119. #4953C22semidirect
120. #4953C22semidirect
121. #4952C22semidirect
122. #4952C22semidirect
123. #4951C22semidirect
124. #4951C22semidirect
126. #4948C22semidirect
127. #4948C22semidirect
128. #4947C22semidirect
129. #4947C22semidirect
132. #4945C22semidirect
133. #4945C22semidirect
134. #4944C22semidirect
135. #4944C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. #4939C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4937C22semidirect
151. #4933C22semidirect
152. #4933C22semidirect
153. #4933C22semidirect
154. #4933C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. #4675C22semidirect
157. #4675C22semidirect
158. #4674C22semidirect
159. #4674C22semidirect
160. #4673C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4664C22semidirect
174. C3⋊#401C22semidirect
175. #4661C22semidirect
176. #4660C22semidirect
177. #4660C22semidirect
178. #4658C22semidirect
179. #4658C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4656C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
214. #2342D3semidirect
479. #388C2×D3semidirect
480. #388C2×D3semidirect
481. #388C2×D3semidirect
482. #388C2×D3semidirect
520. #385C2×D3semidirect
521. #385C2×D3semidirect
549. C4×C22⋊C4C2×D3semidirect
550. C4×C22⋊C4C2×D3semidirect
1605. C3#38396semidirect

Maximal subgroups

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

subgroupindex
C3×#23422
#822672
#822422
#821262
C2×#49562
#821082
#821062
#759522
#759502
#759472
#759212
#759032
#758872
#756592
#756312
#746492
#746372
#745692
#745192
#741462
#740672
#739092
#738902
#738352
#738242
#736012
#735942
#735702
#735462
#735092
#734512
#383963