Finite Group Databasebeta

← #11043597

Subgroups — #11043597

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×#2784C211yesmaximal, characteristic, complemented
2#78348C211yesmaximal, characteristic, complemented
3#78179C211yesmaximal, characteristic, complemented
4#77414C211yesmaximal, characteristic, complemented
5#77350C211yesmaximal, characteristic, complemented
6#77338C211yesmaximal, characteristic, complemented
7#77303C211yesmaximal, characteristic, complemented
8#77264C211yesmaximal, characteristic, complemented
9#77251C211yesmaximal, characteristic, complemented
10#76868C211yesmaximal, characteristic, complemented
11#76818C211yesmaximal, characteristic, complemented
12#76797C211yesmaximal, characteristic, complemented
13#76790C211yesmaximal, characteristic, complemented
14#76436C211yesmaximal, characteristic
15#76300C211yesmaximal, characteristic, complemented
16#75434C211yesmaximal, characteristic, complemented
17#75316C211yesmaximal, characteristic, complemented
18#75308C211yesmaximal, characteristic, complemented
19#75118C211yesmaximal, characteristic, complemented
20D3×#386C211yesmaximal, characteristic, complemented
21#74819C211yesmaximal, characteristic, complemented
22#74686C211yesmaximal, characteristic, complemented
23#74669C211yesmaximal, characteristic, complemented
24#74656C211yesmaximal, characteristic, complemented
25#74649C211yesmaximal, characteristic, complemented
26#74595C211yesmaximal, characteristic, complemented
27#74563C211yesmaximal, characteristic, complemented
28#74018C211yesmaximal, characteristic, complemented
29#73987C211yesmaximal, characteristic, complemented
30#73948C211yesmaximal, characteristic, complemented
31#73862C211yesmaximal, characteristic, complemented
32#38396—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×#947C2211yescharacteristic, complemented
36C2×#946C2211yescharacteristic
37C2×#938C2211yescharacteristic
38C2×#935C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C2×#898C2211yescharacteristic, complemented
41C2×#895C2211yescharacteristic
42C2×#894C2211yescharacteristic
43C2×#894C2211yescharacteristic
44C2×#892C2211yescharacteristic
45C2×#892C2211yescharacteristic
46C2×#886C2211yescharacteristic
47C2×#882C2211yescharacteristic
48C2×#882C2211yescharacteristic
49C2×D3×C22⋊C4C2211yescharacteristic
50C2×D3×C22⋊C4C2211yescharacteristic
51C2×D3×C22⋊C4C2211yescharacteristic
52C2×C4×D12C2211yescharacteristic
53C3×#400C2211yescharacteristic, complemented
54C3×#396C2211yescharacteristic, complemented
55C3×#396C2211yescharacteristic, complemented
56C3×#395C2211yescharacteristic, complemented
57C3×#393C2211yescharacteristic, complemented
58C3×#393C2211yescharacteristic, complemented
59C3×#390C2211yescharacteristic
60C3×#387C2211yescharacteristic, complemented
61C3×#387C2211yescharacteristic, complemented
62C3×#386C2211yescharacteristic
63C3×#386C2211yescharacteristic
64C3×#385C2211yescharacteristic, complemented
65C3×#385C2211yescharacteristic, complemented
66C3×#380C2211yescharacteristic, complemented
67C3×#380C2211yescharacteristic, complemented
68#5231C2211yescharacteristic, complemented
69#5229C2211yescharacteristic, complemented
70#5220C2211yescharacteristic
71#5213C2211yescharacteristic
72#5213C2211yescharacteristic
73#5213C2211yescharacteristic, complemented
74#5213C2211yescharacteristic, complemented
75#5212C2211yescharacteristic, complemented
76C4×#217C2211yescharacteristic, complemented
77#4994C2211yescharacteristic, complemented
78#4992C2211yescharacteristic, complemented
79#4992C2211yescharacteristic, complemented
80#4992C2211yescharacteristic, complemented
81#4991C2211yescharacteristic, complemented
82#4991C2211yescharacteristic, complemented
83#4990C2211yescharacteristic, complemented
84#4990C2211yescharacteristic, complemented
85#4990C2211yescharacteristic, complemented
86#4990C2211yescharacteristic, complemented
87#4989C2211yescharacteristic
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic, complemented
90#4989C2211yescharacteristic, complemented
91#4988C2211yescharacteristic, complemented
92#4987C2211yescharacteristic
93#4987C2211yescharacteristic
94#4987C2211yescharacteristic, complemented
95#4987C2211yescharacteristic, complemented
96#4986C2211yescharacteristic, complemented
97#4986C2211yescharacteristic, complemented
98#4984C2211yescharacteristic, complemented
99#4982C2211yescharacteristic, complemented
100#4980C2211yescharacteristic, complemented
101#4978C2211yescharacteristic, complemented
102#4976C2211yescharacteristic, complemented
103#4961C2211yescharacteristic
104#4961C2211yescharacteristic
105#4961C2211yescharacteristic
106#4961C2211yescharacteristic
107#4961C2211yescharacteristic, complemented
108#4961C2211yescharacteristic, complemented
109#4960C2211yescharacteristic
110#4960C2211yescharacteristic
111#4958C2211yescharacteristic
112#4958C2211yescharacteristic, complemented
113#4958C2211yescharacteristic, complemented
114#4957C2211yescharacteristic, complemented
115#4957C2211yescharacteristic, complemented
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4953C2211yescharacteristic, complemented
124#4953C2211yescharacteristic, complemented
125#4950C2211yescharacteristic, complemented
126#4946C2211yescharacteristic, complemented
127#4945C2211yescharacteristic, complemented
128#4945C2211yescharacteristic, complemented
129#4944C2211yescharacteristic, complemented
130#4944C2211yescharacteristic, complemented
131#4944C2211yescharacteristic, complemented
132#4944C2211yescharacteristic, complemented
133#4942C2211yescharacteristic, complemented
134Dic3×C22⋊C4C2211yescharacteristic, complemented
135Dic3×C22⋊C4C2211yescharacteristic, complemented
136Dic3×C22⋊C4C2211yescharacteristic, complemented
137#4939C2211yescharacteristic
138#4933C2211yescharacteristic, complemented
139C4×Dic3⋊C4C2211yescharacteristic, complemented
140#4675C2211yescharacteristic, complemented
141#4675C2211yescharacteristic, complemented
142#4675C2211yescharacteristic, complemented
143#4674C2211yescharacteristic, complemented
144#4674C2211yescharacteristic, complemented
145#4672C2211yescharacteristic
146#4672C2211yescharacteristic
147#4672C2211yescharacteristic, complemented
148#4672C2211yescharacteristic, complemented
149#4670C2211yescharacteristic, complemented
150#4670C2211yescharacteristic, complemented
151#4670C2211yescharacteristic, complemented
152#4670C2211yescharacteristic, complemented
153#4669C2211yescharacteristic, complemented
154#4669C2211yescharacteristic, complemented
155#4669C2211yescharacteristic, complemented
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4666C2211yescharacteristic
161#4666C2211yescharacteristic
162#4666C2211yescharacteristic, complemented
163#4666C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic
173#4664C2211yescharacteristic
174#4664C2211yescharacteristic
175#4664C2211yescharacteristic, complemented
176D3×#95C2211yescharacteristic
177D3×#95C2211yescharacteristic
178C3⋊#401C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#2849—31no—
189#2786—31no—
190#2784D311yescharacteristic, complemented
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#2342—31no—
215#2335—31no—
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C2×D3×D4—24no—
232C2×D3×D4—42no—
233C2×D3×D4—42no—
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×C4×D3—24no—
239C22×C4×D3—42no—
240C22×C4×D3—42no—
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×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×C42C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276#947—42no—
277#946—42no—
278#938—24no—
279#935—24no—
280C2×(C2×D3)⋊C4—42no—
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341#898—42no—
342#895—42no—
343#894—24no—
344#894—42no—
345#892—42no—
346#892—42no—
347#886—42no—
348#882—42no—
349#882—42no—
350D3×C22⋊C4—24no—
351D3×C22⋊C4—42no—
352D3×C22⋊C4—42no—
353C4×D12—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×#117—31no—
414C22×C22⋊C4—31no—
415C22×C22⋊C4—31no—
416C22×C22⋊C4—31no—
417C22×C22⋊C4—31no—
418#401—31no—
419#400—31no—
420#400—31no—
421#400—31no—
422#400—31no—
423#400C2×D311yescharacteristic, complemented
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#396C2×D311yescharacteristic, complemented
439#396C2×D311yescharacteristic, complemented
440#395C2×D311yescharacteristic, complemented
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#393C2×D311yescharacteristic, complemented
455#393C2×D311yescharacteristic, complemented
456#392—31no—
457#392—31no—
458#391—31no—
459#390—31no—
460#390—31no—
461#390—31no—
462#390—31no—
463#390C2×D311yescharacteristic
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#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387C2×D311yescharacteristic, complemented
491#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
509#386C2×D311yescharacteristic
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#381—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380—31no—
532#380—31no—
533#380—31no—
534#380C2×D311yescharacteristic, complemented
535#380C2×D311yescharacteristic, complemented
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
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⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C2×#95—31no—
552C2×#95—31no—
553C24×C3C2411yescharacteristic
554C24×C3C2411yescharacteristic
555C23×D3—22no—
556C23×D3—22no—
557C23×D3—22no—
558C23×D3—22no—
559C23×D3—22no—
560C23×D3—22no—
561C23×D3—22no—
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—41no—
565C23×D3—41no—
566C23×D3—41no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3C2411yescharacteristic
570C23×D3C2411yescharacteristic
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C2×C3×Q8—41no—
574C2×C3×Q8—41no—
575C2×C3×Q8—41no—
576C2×C3×D4—41no—
577C2×C3×D4—41no—
578C2×C3×D4#4114yes—
579C22×C3×C4—22no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4—41no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—22no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67—41no—
607C2×#67—41no—
608C2×#67—41no—
609C2×#67—41no—
610C22×Dic3—22no—
611C22×Dic3—22no—
612C22×Dic3—41no—
613C22×Dic3—41no—
614C22×Dic3—41no—
615C22×Dic3—41no—
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628D3×D4—416no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—416no—
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×C4×D3#4114yes—
666C3×C4⋊C4—22no—
667C3×C4⋊C4—41no—
668C3×C4⋊C4—41no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—41no—
676C3×C22⋊C4—41no—
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—
685#217—22no—
686#217—22no—
687#217—22no—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—41no—
692#217—41no—
693(C2×D3)⋊C4—22no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—22no—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—41no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729C4⋊Dic3—22no—
730C4⋊Dic3—41no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745C4×Dic3—41no—
746C4×Dic3—41no—
747C4×Dic3—41no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C25—31no—
754C25—31no—
755C22×Q8C22×D311yescharacteristic
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—64no—
765C22×D4—122no—
766C22×D4—122no—
767C22×D4C22×D311yescharacteristic
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—31no—
777C23×C4—31no—
778C23×C4—64no—
779C23×C4—122no—
780C23×C4—122no—
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—122no—
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⋊C4C22×D311yescharacteristic
814C2×C4⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C22⋊C4—31no—
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—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—64no—
866C2×C22⋊C4—122no—
867C2×C22⋊C4—122no—
868C2×C22⋊C4—122no—
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×C42—31no—
885C2×C42—31no—
886C2×C42—31no—
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#95C22×D311yescharacteristic
921#95C22×D311yescharacteristic
922#95C22×D311yescharacteristic
923#95C22×D311yescharacteristic
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×C3C2×#4112yes—
945C23×C3C2×#4112yes—
946C23×C3C2511yescharacteristic
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—28no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—21no—
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—44no—
973C22×D3—44no—
974C22×D3—44no—
975C22×D3—44no—
976C22×D3—44no—
977C22×D3—44no—
978C22×D3—44no—
979C22×D3—44no—
980C22×D3—44no—
981C22×D3—44no—
982C22×D3—82no—
983C22×D3—82no—
984C22×D3—82no—
985C22×D3C2×#4112yes—
986C22×D3H(5,𝔽2)12yes—
987C22×D3H(5,𝔽2)12yes—
988C22×D3H(5,𝔽2)12yes—
989C3×Q8—82no—
990C3×D4—44no—
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—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—44no—
1029C2×C3×C4—82no—
1030C2×C3×C4C2×#4112yes—
1031C2×C3×C4C2×#4112yes—
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—44no—
1072C2×Dic3—82no—
1073C2×Dic3C2×#4112yes—
1074D12—44no—
1075D12—44no—
1076D12—82no—
1077D12—82no—
1078C4×D3—28no—
1079C4×D3—44no—
1080C4×D3—44no—
1081C4×D3—44no—
1082C4×D3—44no—
1083C4×D3—82no—
1084C4×D3—82no—
1085C4×D3—82no—
1086C24—31no—
1087C24—31no—
1088C24—31no—
1089C24—31no—
1090C24—62no—
1091C24—62no—
1092C24—62no—
1093C24—62no—
1094C24—62no—
1095C24—62no—
1096C24—62no—
1097C24—62no—
1098C24—62no—
1099C24—121no—
1100C24—121no—
1101C24—121no—
1102C24—121no—
1103C24—121no—
1104C24C23×D311yescharacteristic
1105C24C23×D311yescharacteristic
1106C2×Q8—41no—
1107C2×Q8—41no—
1108C2×Q8—41no—
1109C2×D4—41no—
1110C2×D4—41no—
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—62no—
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—1216no—
1136C2×D4#23914yes—
1137C22×C4—22no—
1138C22×C4—31no—
1139C22×C4—34no—
1140C22×C4—31no—
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—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—62no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
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—121no—
1171C22×C4—121no—
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—1216no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4C23×D311yescharacteristic
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—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—62no—
1208C4⋊C4—62no—
1209C4⋊C4—62no—
1210C4⋊C4—62no—
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—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—62no—
1234C22⋊C4—62no—
1235C22⋊C4—62no—
1236C22⋊C4—62no—
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—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
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—121no—
1279C42—121no—
1280C42—121no—
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—41no—
1293C22×C3—41no—
1294C22×C3—41no—
1295C22×C3—41no—
1296C22×C3—41no—
1297C22×C3—41no—
1298C22×C3—41no—
1299C22×C3—41no—
1300C22×C3C22×#4111yescharacteristic
1301C22×C3C22×#4111yescharacteristic
1302C22×C3C2×H(5,𝔽2)11yescharacteristic
1303C22×C3C2×H(5,𝔽2)11yescharacteristic
1304C22×C3C2×H(5,𝔽2)11yescharacteristic
1305C22×C3#58511yescharacteristic
1306C22×C3#58511yescharacteristic
1307C2×D3—22no—
1308C2×D3—22no—
1309C2×D3—22no—
1310C2×D3—22no—
1311C2×D3—22no—
1312C2×D3—22no—
1313C2×D3—22no—
1314C2×D3—22no—
1315C2×D3—22no—
1316C2×D3—416no—
1317C2×D3—41no—
1318C2×D3—41no—
1319C2×D3—41no—
1320C2×D3—41no—
1321C2×D3—41no—
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—88no—
1336C2×D3#53814yes—
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—
1349C3×C4—41no—
1350Dic3—22no—
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—32no—
1375C23—32no—
1376C23—32no—
1377C23—32no—
1378C23—68no—
1379C23—61no—
1380C23—61no—
1381C23—61no—
1382C23—61no—
1383C23—61no—
1384C23—61no—
1385C23—61no—
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—124no—
1404C23—124no—
1405C23—124no—
1406C23—124no—
1407C23—124no—
1408C23—124no—
1409C23—124no—
1410C23—124no—
1411C23—124no—
1412C23—124no—
1413C23—242no—
1414C23—242no—
1415C23—242no—
1416C23C2×#23912yes—
1417C23C2×#23912yes—
1418C23C24×D311yescharacteristic
1419Q8—82no—
1420D4—44no—
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—21no—
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—21no—
1465C2×C4—21no—
1466C2×C4—32no—
1467C2×C4—44no—
1468C2×C4—68no—
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—61no—
1504C2×C4—82no—
1505C2×C4—124no—
1506C2×C4—124no—
1507C2×C4—124no—
1508C2×C4—124no—
1509C2×C4—124no—
1510C2×C4—242no—
1511C2×C4—242no—
1512C2×C4—242no—
1513C2×C4—242no—
1514C2×C4C2×#23912yes—
1515C2×C4D3×#4112yes—
1516C2×C3—42no—
1517C2×C3—42no—
1518C2×C3C2×#53811yescharacteristic
1519C2×C3#347511yescharacteristic
1520C2×C3#349011yescharacteristic
1521C2×C3#349411yescharacteristic
1522C2×C3#351311yescharacteristic
1523C2×C3#353311yescharacteristic
1524C2×C3#353411yescharacteristic
1525D3—24no—
1526D3—42no—
1527D3—81no—
1528D3—81no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—34no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—62no—
1553C22—1216no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
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—248no—
1573C22C22×#23911yescharacteristic
1574C22C2×D3×#4111yescharacteristic
1575C22#596411yescharacteristic
1576C22D3×H(5,𝔽2)11yescharacteristic
1577C22D3×H(5,𝔽2)11yescharacteristic
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—41no—
1593C4—62no—
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—42no—
1607C2—42no—
1608C2—64no—
1609C2—122no—
1610C2—241no—
1611C2—241no—
1612C2D3×#53811yescharacteristic
1613C2#8641911yescharacteristic
1614C2#8657911yescharacteristic
1615C2#8692211yescharacteristic
1616C2#8692911yescharacteristic
1617C2#8696011yescharacteristic
1618C2#8708211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2784C2
prime radical#76436C2
hypercenter#2784D3
hypocenterC3#38396
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2784

Complements

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

NH ≅ G/Ntype
1. C3×#2784C2semidirect
2. #78348C2semidirect
3. #78179C2semidirect
4. #77414C2semidirect
5. #77350C2semidirect
6. #77338C2semidirect
7. #77303C2semidirect
8. #77264C2semidirect
9. #77251C2semidirect
10. #76868C2semidirect
11. #76818C2semidirect
12. #76797C2semidirect
13. #76790C2semidirect
15. #76300C2semidirect
16. #75434C2semidirect
17. #75316C2semidirect
18. #75308C2semidirect
19. #75118C2semidirect
20. D3×#386C2semidirect
21. #74819C2semidirect
22. #74686C2semidirect
23. #74669C2semidirect
24. #74656C2semidirect
25. #74649C2semidirect
26. #74595C2semidirect
27. #74563C2semidirect
28. #74018C2semidirect
29. #73987C2semidirect
30. #73948C2semidirect
31. #73862C2semidirect
35. C2×#947C22semidirect
40. C2×#898C22semidirect
53. C3×#400C22semidirect
54. C3×#396C22semidirect
55. C3×#396C22semidirect
56. C3×#395C22semidirect
57. C3×#393C22semidirect
58. C3×#393C22semidirect
60. C3×#387C22semidirect
61. C3×#387C22semidirect
64. C3×#385C22semidirect
65. C3×#385C22semidirect
66. C3×#380C22semidirect
67. C3×#380C22semidirect
68. #5231C22semidirect
69. #5229C22semidirect
73. #5213C22semidirect
74. #5213C22semidirect
75. #5212C22semidirect
76. C4×#217C22semidirect
77. #4994C22semidirect
78. #4992C22semidirect
79. #4992C22semidirect
80. #4992C22semidirect
81. #4991C22semidirect
82. #4991C22semidirect
83. #4990C22semidirect
84. #4990C22semidirect
85. #4990C22semidirect
86. #4990C22semidirect
89. #4989C22semidirect
90. #4989C22semidirect
91. #4988C22semidirect
94. #4987C22semidirect
95. #4987C22semidirect
96. #4986C22semidirect
97. #4986C22semidirect
98. #4984C22semidirect
99. #4982C22semidirect
100. #4980C22semidirect
101. #4978C22semidirect
102. #4976C22semidirect
107. #4961C22semidirect
108. #4961C22semidirect
112. #4958C22semidirect
113. #4958C22semidirect
114. #4957C22semidirect
115. #4957C22semidirect
123. #4953C22semidirect
124. #4953C22semidirect
125. #4950C22semidirect
126. #4946C22semidirect
127. #4945C22semidirect
128. #4945C22semidirect
129. #4944C22semidirect
130. #4944C22semidirect
131. #4944C22semidirect
132. #4944C22semidirect
133. #4942C22semidirect
134. Dic3×C22⋊C4C22semidirect
135. Dic3×C22⋊C4C22semidirect
136. Dic3×C22⋊C4C22semidirect
138. #4933C22semidirect
139. C4×Dic3⋊C4C22semidirect
140. #4675C22semidirect
141. #4675C22semidirect
142. #4675C22semidirect
143. #4674C22semidirect
144. #4674C22semidirect
147. #4672C22semidirect
148. #4672C22semidirect
149. #4670C22semidirect
150. #4670C22semidirect
151. #4670C22semidirect
152. #4670C22semidirect
153. #4669C22semidirect
154. #4669C22semidirect
155. #4669C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
162. #4666C22semidirect
163. #4666C22semidirect
164. #4666C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
175. #4664C22semidirect
178. C3⋊#401C22semidirect
179. #4661C22semidirect
180. #4661C22semidirect
181. #4660C22semidirect
182. #4659C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4651C22semidirect
190. #2784D3semidirect
423. #400C2×D3semidirect
438. #396C2×D3semidirect
439. #396C2×D3semidirect
440. #395C2×D3semidirect
454. #393C2×D3semidirect
455. #393C2×D3semidirect
490. #387C2×D3semidirect
491. #387C2×D3semidirect
520. #385C2×D3semidirect
521. #385C2×D3semidirect
534. #380C2×D3semidirect
535. #380C2×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×#27842
#783482
#781792
#774142
#773502
#773382
#773032
#772642
#772512
#768682
#768182
#767972
#767902
#764362
#763002
#754342
#753162
#753082
#751182
D3×#3862
#748192
#746862
#746692
#746562
#746492
#745952
#745632
#740182
#739872
#739482
#738622
#383963