Finite Group Databasebeta

← #11043595

Subgroups — #11043595

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×#2335C211yesmaximal, characteristic, complemented
2#82910C211yesmaximal, characteristic, complemented
3#82893C211yesmaximal, characteristic, complemented
4#76436C211yesmaximal, characteristic
5#76414C211yesmaximal, characteristic, complemented
6#76222C211yesmaximal, characteristic, complemented
7#76070C211yesmaximal, characteristic, complemented
8#75890C211yesmaximal, characteristic, complemented
9#75842C211yesmaximal, characteristic, complemented
10#75772C211yesmaximal, characteristic, complemented
11#75770C211yesmaximal, characteristic, complemented
12#75741C211yesmaximal, characteristic, complemented
13#75614C211yesmaximal, characteristic, complemented
14#75541C211yesmaximal, characteristic, complemented
15#75526C211yesmaximal, characteristic, complemented
16#75391C211yesmaximal, characteristic, complemented
17#75338C211yesmaximal, characteristic, complemented
18#75315C211yesmaximal, characteristic, complemented
19#75242C211yesmaximal, characteristic, complemented
20D3×#386C211yesmaximal, characteristic, complemented
21#74669C211yesmaximal, characteristic, complemented
22#74656C211yesmaximal, characteristic, complemented
23#74507C211yesmaximal, characteristic, complemented
24#74041C211yesmaximal, characteristic, complemented
25#74018C211yesmaximal, characteristic, complemented
26#73772C211yesmaximal, characteristic, complemented
27#73739C211yesmaximal, characteristic, complemented
28#73609C211yesmaximal, characteristic, complemented
29#73601C211yesmaximal, characteristic, complemented
30#73574C211yesmaximal, characteristic, complemented
31#73561C211yesmaximal, characteristic, complemented
32#38396—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×#938C2211yescharacteristic
37C2×#929C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C2×#898C2211yescharacteristic, complemented
40C2×#896C2211yescharacteristic
41C2×#895C2211yescharacteristic
42C2×#894C2211yescharacteristic
43C2×#894C2211yescharacteristic
44C2×#882C2211yescharacteristic
45C2×#882C2211yescharacteristic
46C2×D3×C22⋊C4C2211yescharacteristic
47C2×D3×C22⋊C4C2211yescharacteristic
48C2×D3×C22⋊C4C2211yescharacteristic
49C2×#875C2211yescharacteristic, complemented
50C2×C4×D12C2211yescharacteristic
51C2×#872C2211yescharacteristic
52C2×#872C2211yescharacteristic
53C3×#390C2211yescharacteristic
54C3×#389C2211yescharacteristic, complemented
55C3×#388C2211yescharacteristic, complemented
56C3×#388C2211yescharacteristic, complemented
57C3×#388C2211yescharacteristic, complemented
58C3×#388C2211yescharacteristic, complemented
59C3×#387C2211yescharacteristic, complemented
60C3×#387C2211yescharacteristic, complemented
61C3×#386C2211yescharacteristic
62C3×#385C2211yescharacteristic, complemented
63C3×#380C2211yescharacteristic, complemented
64C3×C4×C4⋊C4C2211yescharacteristic, complemented
65C3×C4×C22⋊C4C2211yescharacteristic, complemented
66C3×C4×C22⋊C4C2211yescharacteristic, complemented
67#5220C2211yescharacteristic
68#5220C2211yescharacteristic
69#5213C2211yescharacteristic
70#5213C2211yescharacteristic, complemented
71#5213C2211yescharacteristic, complemented
72#5210C2211yescharacteristic, complemented
73C4×#217C2211yescharacteristic, complemented
74#4992C2211yescharacteristic, complemented
75#4991C2211yescharacteristic
76#4991C2211yescharacteristic
77#4991C2211yescharacteristic, complemented
78#4991C2211yescharacteristic, complemented
79#4990C2211yescharacteristic, complemented
80#4990C2211yescharacteristic, complemented
81#4989C2211yescharacteristic
82#4989C2211yescharacteristic
83#4989C2211yescharacteristic
84#4989C2211yescharacteristic, complemented
85#4989C2211yescharacteristic, complemented
86#4989C2211yescharacteristic, complemented
87#4989C2211yescharacteristic, complemented
88#4987C2211yescharacteristic
89#4986C2211yescharacteristic, complemented
90#4986C2211yescharacteristic, complemented
91#4985C2211yescharacteristic, complemented
92#4983C2211yescharacteristic, complemented
93#4981C2211yescharacteristic, complemented
94#4981C2211yescharacteristic, complemented
95#4980C2211yescharacteristic, complemented
96#4979C2211yescharacteristic, complemented
97#4961C2211yescharacteristic
98#4961C2211yescharacteristic
99#4960C2211yescharacteristic
100#4960C2211yescharacteristic
101#4959C2211yescharacteristic
102#4959C2211yescharacteristic
103#4959C2211yescharacteristic, complemented
104#4959C2211yescharacteristic, complemented
105#4958C2211yescharacteristic
106#4958C2211yescharacteristic
107#4958C2211yescharacteristic, complemented
108#4958C2211yescharacteristic, complemented
109#4957C2211yescharacteristic, complemented
110#4957C2211yescharacteristic, complemented
111#4956C2211yescharacteristic
112#4956C2211yescharacteristic
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4955C2211yescharacteristic
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4952C2211yescharacteristic, complemented
119#4952C2211yescharacteristic, complemented
120#4948C2211yescharacteristic, complemented
121#4948C2211yescharacteristic, complemented
122#4947C2211yescharacteristic, complemented
123#4947C2211yescharacteristic, complemented
124#4946C2211yescharacteristic, complemented
125#4946C2211yescharacteristic, complemented
126#4945C2211yescharacteristic, complemented
127#4944C2211yescharacteristic, complemented
128#4942C2211yescharacteristic, complemented
129#4942C2211yescharacteristic, complemented
130#4942C2211yescharacteristic, complemented
131Dic3×C22⋊C4C2211yescharacteristic, complemented
132#4940C2211yescharacteristic, complemented
133#4940C2211yescharacteristic, complemented
134#4940C2211yescharacteristic, complemented
135#4940C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4939C2211yescharacteristic
139#4939C2211yescharacteristic, complemented
140C4×(C2×D3)⋊C4C2211yescharacteristic
141C4×(C2×D3)⋊C4C2211yescharacteristic
142C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
144#4933C2211yescharacteristic, complemented
145#4933C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4676C2211yescharacteristic, complemented
149#4675C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4675C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4668C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4666C2211yescharacteristic, complemented
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4664C2211yescharacteristic
174#4664C2211yescharacteristic
175#4664C2211yescharacteristic
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180C3⋊#401C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4651C2211yescharacteristic, 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#2342—31no—
215#2335D311yescharacteristic, complemented
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C2×D3×D4—24no—
231C2×D3×D4—42no—
232C2×D3×D4—42no—
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3—24no—
238C22×C4×D3—42no—
239C22×C4×D3—42no—
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#123—24no—
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×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280#938—24no—
281#929—42no—
282C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340#898—42no—
341#896—42no—
342#895—42no—
343#894—24no—
344#894—42no—
345#882—42no—
346#882—42no—
347D3×C22⋊C4—24no—
348D3×C22⋊C4—42no—
349D3×C22⋊C4—42no—
350#875—42no—
351C4×D12—42no—
352#872—42no—
353#872—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×#123C2×D311yescharacteristic
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#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#390C2×D311yescharacteristic
464#389—31no—
465#389C2×D311yescharacteristic, complemented
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#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#386—31no—
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#385—31no—
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#380—31no—
535#380C2×D311yescharacteristic, complemented
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541C4×C4⋊C4C2×D311yescharacteristic, complemented
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⋊C4C2×D311yescharacteristic, complemented
550C4×C22⋊C4C2×D311yescharacteristic, complemented
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×D4—41no—
574C2×C3×D4—41no—
575C2×C3×D4#4114yes—
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—41no—
579C22×C3×C4—41no—
580C22×C3×C4—41no—
581C22×C3×C4—41no—
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
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
595C2×#67—22no—
596C2×#67—22no—
597C2×#67—22no—
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—41no—
601C2×#67—41no—
602C2×#67—41no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67—41no—
607C22×Dic3—22no—
608C22×Dic3—41no—
609C22×Dic3—41no—
610C22×Dic3—41no—
611C22×Dic3—41no—
612C22×Dic3—41no—
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625D3×D4—416no—
626C2×D12—22no—
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—41no—
633C2×D12—41no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×C4×D3—22no—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
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—416no—
651C2×C4×D3—41no—
652C2×C4×D3—41no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3#4114yes—
663C2×Dic6—41no—
664C2×Dic6—41no—
665C2×Dic6—41no—
666C3×C4⋊C4—22no—
667C3×C4⋊C4—22no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
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×C42—41no—
684C3×C42—41no—
685C3×C42—41no—
686C3×C42—41no—
687C3×C42—41no—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—41no—
692#217—41no—
693#217—41no—
694#217—41no—
695#217—41no—
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—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
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—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732C4⋊Dic3—22no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735Dic3⋊C4—22no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C25—31no—
754C25—31no—
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—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—24no—
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⋊C4—31no—
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×C42C22×D311yescharacteristic
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#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×D4—44no—
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—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—44no—
1028C2×C3×C4—82no—
1029C2×C3×C4C2×#4112yes—
1030C2×C3×C4C2×#4112yes—
1031#67—44no—
1032#67—44no—
1033#67—82no—
1034#67—82no—
1035C2×Dic3—21no—
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—44no—
1071C2×Dic3—82no—
1072C2×Dic3C2×#4112yes—
1073D12—44no—
1074D12—44no—
1075D12—82no—
1076D12—82no—
1077C4×D3—28no—
1078C4×D3—44no—
1079C4×D3—44no—
1080C4×D3—44no—
1081C4×D3—44no—
1082C4×D3—82no—
1083C4×D3—82no—
1084C4×D3—82no—
1085Dic6—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—121no—
1107C2×Q8—121no—
1108C2×Q8—121no—
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#23514yes—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—31no—
1140C22×C4—34no—
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—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—121no—
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—1216no—
1181C22×C4—121no—
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—22no—
1201C4⋊C4—22no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
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—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—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—41no—
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×#23512yes—
1417C23C2×#23512yes—
1418C23C24×D311yescharacteristic
1419Q8—242no—
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×#23512yes—
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×#23511yescharacteristic
1574C22C2×D3×#4111yescharacteristic
1575C22#596411yescharacteristic
1576C22D3×H(5,𝔽2)11yescharacteristic
1577C22D3×H(5,𝔽2)11yescharacteristic
1578C22D3×H(5,𝔽2)11yescharacteristic
1579C22#596811yescharacteristic
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—
1612C2#8584111yescharacteristic
1613C2#8586811yescharacteristic
1614C2#8590511yescharacteristic
1615C2D3×#53811yescharacteristic
1616C2#8645711yescharacteristic
1617C2#8649011yescharacteristic
1618C2#8655011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2335C2
prime radical#76436C2
hypercenter#2335D3
hypocenterC3#38396
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
1. C3×#2335C2semidirect
2. #82910C2semidirect
3. #82893C2semidirect
5. #76414C2semidirect
6. #76222C2semidirect
7. #76070C2semidirect
8. #75890C2semidirect
9. #75842C2semidirect
10. #75772C2semidirect
11. #75770C2semidirect
12. #75741C2semidirect
13. #75614C2semidirect
14. #75541C2semidirect
15. #75526C2semidirect
16. #75391C2semidirect
17. #75338C2semidirect
18. #75315C2semidirect
19. #75242C2semidirect
20. D3×#386C2semidirect
21. #74669C2semidirect
22. #74656C2semidirect
23. #74507C2semidirect
24. #74041C2semidirect
25. #74018C2semidirect
26. #73772C2semidirect
27. #73739C2semidirect
28. #73609C2semidirect
29. #73601C2semidirect
30. #73574C2semidirect
31. #73561C2semidirect
39. C2×#898C22semidirect
49. C2×#875C22semidirect
54. C3×#389C22semidirect
55. C3×#388C22semidirect
56. C3×#388C22semidirect
57. C3×#388C22semidirect
58. C3×#388C22semidirect
59. C3×#387C22semidirect
60. C3×#387C22semidirect
62. C3×#385C22semidirect
63. C3×#380C22semidirect
64. C3×C4×C4⋊C4C22semidirect
65. C3×C4×C22⋊C4C22semidirect
66. C3×C4×C22⋊C4C22semidirect
70. #5213C22semidirect
71. #5213C22semidirect
72. #5210C22semidirect
73. C4×#217C22semidirect
74. #4992C22semidirect
77. #4991C22semidirect
78. #4991C22semidirect
79. #4990C22semidirect
80. #4990C22semidirect
84. #4989C22semidirect
85. #4989C22semidirect
86. #4989C22semidirect
87. #4989C22semidirect
89. #4986C22semidirect
90. #4986C22semidirect
91. #4985C22semidirect
92. #4983C22semidirect
93. #4981C22semidirect
94. #4981C22semidirect
95. #4980C22semidirect
96. #4979C22semidirect
103. #4959C22semidirect
104. #4959C22semidirect
107. #4958C22semidirect
108. #4958C22semidirect
109. #4957C22semidirect
110. #4957C22semidirect
118. #4952C22semidirect
119. #4952C22semidirect
120. #4948C22semidirect
121. #4948C22semidirect
122. #4947C22semidirect
123. #4947C22semidirect
124. #4946C22semidirect
125. #4946C22semidirect
126. #4945C22semidirect
127. #4944C22semidirect
128. #4942C22semidirect
129. #4942C22semidirect
130. #4942C22semidirect
131. Dic3×C22⋊C4C22semidirect
132. #4940C22semidirect
133. #4940C22semidirect
134. #4940C22semidirect
135. #4940C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
139. #4939C22semidirect
142. C4×(C2×D3)⋊C4C22semidirect
143. C4×(C2×D3)⋊C4C22semidirect
144. #4933C22semidirect
145. #4933C22semidirect
146. #4933C22semidirect
147. #4933C22semidirect
148. #4676C22semidirect
149. #4675C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4675C22semidirect
156. #4673C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
161. #4669C22semidirect
164. #4667C22semidirect
165. #4667C22semidirect
166. #4666C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
177. #4664C22semidirect
180. C3⋊#401C22semidirect
181. #4660C22semidirect
182. #4659C22semidirect
183. #4654C22semidirect
184. #4653C22semidirect
185. #4651C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
215. #2335D3semidirect
465. #389C2×D3semidirect
479. #388C2×D3semidirect
480. #388C2×D3semidirect
481. #388C2×D3semidirect
482. #388C2×D3semidirect
490. #387C2×D3semidirect
491. #387C2×D3semidirect
521. #385C2×D3semidirect
535. #380C2×D3semidirect
541. C4×C4⋊C4C2×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×#23352
#829102
#828932
#764362
#764142
#762222
#760702
#758902
#758422
#757722
#757702
#757412
#756142
#755412
#755262
#753912
#753382
#753152
#752422
D3×#3862
#746692
#746562
#745072
#740412
#740182
#737722
#737392
#736092
#736012
#735742
#735612
#383963