Finite Group Databasebeta

← #11028868

Subgroups — #11028868

Order 768.

3284 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2480C211yesmaximal, characteristic, complemented
2#83114C211yesmaximal, characteristic, complemented
3#83081C211yesmaximal, characteristic, complemented
4C2×#4955C211yesmaximal, characteristic, complemented
5#82111C211yesmaximal, characteristic, complemented
6#77706C211yesmaximal, characteristic, complemented
7#77705C211yesmaximal, characteristic, complemented
8#77691C211yesmaximal, characteristic, complemented
9#77685C211yesmaximal, characteristic, complemented
10#77481C211yesmaximal, characteristic, complemented
11#77474C211yesmaximal, characteristic, complemented
12#77437C211yesmaximal, characteristic, complemented
13#77424C211yesmaximal, characteristic, complemented
14#75934C211yesmaximal, characteristic, complemented
15#75933C211yesmaximal, characteristic, complemented
16#75919C211yesmaximal, characteristic, complemented
17#75845C211yesmaximal, characteristic, complemented
18#75827C211yesmaximal, characteristic, complemented
19#75825C211yesmaximal, characteristic, complemented
20#74607C211yesmaximal, characteristic, complemented
21#74602C211yesmaximal, characteristic, complemented
22#74452C211yesmaximal, characteristic, complemented
23#74406C211yesmaximal, characteristic, complemented
24#74021C211yesmaximal, characteristic, complemented
25#74009C211yesmaximal, characteristic, complemented
26#73861C211yesmaximal, characteristic
27D3×#379C211yesmaximal, characteristic, complemented
28#73834C211yesmaximal, characteristic, complemented
29#73832C211yesmaximal, characteristic, complemented
30#73605C211yesmaximal, characteristic, complemented
31#73577C211yesmaximal, characteristic, complemented
32#37848—31nomaximal, Sylow
33C25×D3C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic, complemented
35C22×C3×C22⋊C4C2211yescharacteristic
36C2×#953C2211yescharacteristic
37C22×#217C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C2×#924C2211yescharacteristic, complemented
43C2×#898C2211yescharacteristic, complemented
44C2×#896C2211yescharacteristic, complemented
45C2×#894C2211yescharacteristic, complemented
46C2×#886C2211yescharacteristic, complemented
47C2×#885C2211yescharacteristic, complemented
48C2×#882C2211yescharacteristic
49C2×#882C2211yescharacteristic
50C2×#882C2211yescharacteristic
51C2×#882C2211yescharacteristic
52C2×#882C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#67⋊C4C2211yescharacteristic, complemented
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×D3×C22⋊C4C2211yescharacteristic
57C2×D3×C22⋊C4C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×#877C2211yescharacteristic, complemented
62C2×C4×D12C2211yescharacteristic, complemented
63C3×#397C2211yescharacteristic, complemented
64C3×#397C2211yescharacteristic, complemented
65C3×#397C2211yescharacteristic, complemented
66C3×#396C2211yescharacteristic, complemented
67C3×#388C2211yescharacteristic, complemented
68C3×#388C2211yescharacteristic, complemented
69C3×#388C2211yescharacteristic, complemented
70C3×#385C2211yescharacteristic, complemented
71C3×#385C2211yescharacteristic, complemented
72C3×#380C2211yescharacteristic, complemented
73C3×#379C2211yescharacteristic
74C3×#379C2211yescharacteristic
75C3×C4×C22⋊C4C2211yescharacteristic, complemented
76#5247C2211yescharacteristic
77#5213C2211yescharacteristic, complemented
78#5213C2211yescharacteristic, complemented
79C4×#217C2211yescharacteristic, complemented
80#4994C2211yescharacteristic, complemented
81#4994C2211yescharacteristic, complemented
82#4994C2211yescharacteristic, complemented
83#4994C2211yescharacteristic, complemented
84#4993C2211yescharacteristic, complemented
85#4993C2211yescharacteristic, complemented
86#4992C2211yescharacteristic, complemented
87#4991C2211yescharacteristic, complemented
88#4991C2211yescharacteristic, complemented
89#4991C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4990C2211yescharacteristic, complemented
92#4990C2211yescharacteristic, complemented
93#4990C2211yescharacteristic, complemented
94#4989C2211yescharacteristic, complemented
95#4989C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4988C2211yescharacteristic, complemented
98#4988C2211yescharacteristic, complemented
99#4987C2211yescharacteristic, complemented
100#4987C2211yescharacteristic, complemented
101#4961C2211yescharacteristic, complemented
102#4959C2211yescharacteristic, complemented
103#4959C2211yescharacteristic, complemented
104#4959C2211yescharacteristic, complemented
105#4957C2211yescharacteristic, complemented
106#4956C2211yescharacteristic, complemented
107#4956C2211yescharacteristic, complemented
108#4955C2211yescharacteristic
109#4955C2211yescharacteristic
110#4955C2211yescharacteristic
111#4955C2211yescharacteristic
112#4955C2211yescharacteristic
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4955C2211yescharacteristic
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4952C2211yescharacteristic, complemented
129#4952C2211yescharacteristic, complemented
130#4952C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4951C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4949C2211yescharacteristic, complemented
138#4949C2211yescharacteristic, complemented
139#4948C2211yescharacteristic, complemented
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4945C2211yescharacteristic, complemented
144#4945C2211yescharacteristic, complemented
145#4944C2211yescharacteristic, complemented
146#4943C2211yescharacteristic, complemented
147#4943C2211yescharacteristic, complemented
148#4942C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4940C2211yescharacteristic, complemented
152#4940C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4939C2211yescharacteristic, complemented
155C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
156#4676C2211yescharacteristic, complemented
157#4675C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4674C2211yescharacteristic, complemented
163#4674C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4673C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4670C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188#2846—31no—
189#2736—31no—
190#2735—31no—
191#2735—31no—
192#2735—31no—
193#2697—31no—
194#2685—31no—
195#2685—31no—
196#2684—31no—
197#2626—31no—
198#2622—31no—
199#2561—31no—
200#2534—31no—
201#2482—31no—
202#2480—31no—
203#2480—31no—
204#2480—31no—
205#2480D311yescharacteristic, complemented
206#2472—31no—
207#2472—31no—
208#2437—31no—
209#2418—31no—
210#2418—31no—
211#2412—31no—
212#2411—31no—
213#2358—31no—
214#2342—31no—
215#2321—31no—
216#2312—31no—
217C2×#379—31no—
218C2×#379—31no—
219C25×C3C2311yescharacteristic
220C24×D3—24no—
221C24×D3—24no—
222C24×D3—42no—
223C24×D3—42no—
224C24×D3—42no—
225C24×D3—42no—
226C24×D3—42no—
227C24×D3C2311yescharacteristic
228C24×D3C2311yescharacteristic
229C24×D3C2311yescharacteristic
230C24×D3C2311yescharacteristic
231C24×D3C2311yescharacteristic
232C24×D3C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic, complemented
249C22×Dic6C2311yescharacteristic, complemented
250C3×#126—42no—
251C2×C3×C4⋊C4C2311yescharacteristic, complemented
252C2×C3×C4⋊C4C2311yescharacteristic, complemented
253C2×C3×C4⋊C4C2311yescharacteristic, complemented
254C2×C3×C4⋊C4C2311yescharacteristic, complemented
255C2×C3×C4⋊C4C2311yescharacteristic, complemented
256C2×C3×C4⋊C4C2311yescharacteristic, complemented
257C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic, complemented
275C2×C3×C42C2311yescharacteristic, complemented
276#953—42no—
277C2×#217—42no—
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×(C2×D3)⋊C4—24no—
292C2×(C2×D3)⋊C4—42no—
293C2×(C2×D3)⋊C4—42no—
294C2×(C2×D3)⋊C4—42no—
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
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
336C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
337C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
338C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
339C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
340C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
341C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
342C2×C4⋊Dic3C2311yescharacteristic, complemented
343C2×C4⋊Dic3C2311yescharacteristic, complemented
344C2×C4⋊Dic3C2311yescharacteristic, complemented
345C2×C4⋊Dic3C2311yescharacteristic, complemented
346C2×C4⋊Dic3C2311yescharacteristic, complemented
347#924—42no—
348C2×Dic3⋊C4C2311yescharacteristic, complemented
349C2×Dic3⋊C4C2311yescharacteristic, complemented
350C2×Dic3⋊C4C2311yescharacteristic, complemented
351C2×Dic3⋊C4C2311yescharacteristic, complemented
352C2×Dic3⋊C4C2311yescharacteristic, complemented
353C2×Dic3⋊C4C2311yescharacteristic, complemented
354C2×Dic3⋊C4C2311yescharacteristic, complemented
355C2×Dic3⋊C4C2311yescharacteristic, complemented
356C2×Dic3⋊C4C2311yescharacteristic, complemented
357C2×C4×Dic3C2311yescharacteristic, complemented
358C2×C4×Dic3C2311yescharacteristic, complemented
359C2×C4×Dic3C2311yescharacteristic, complemented
360C2×C4×Dic3C2311yescharacteristic, complemented
361C2×C4×Dic3C2311yescharacteristic, complemented
362#898—42no—
363#896—42no—
364#894—42no—
365#886—42no—
366#885—42no—
367#882—24no—
368#882—24no—
369#882—42no—
370#882—42no—
371#882—42no—
372#882—42no—
373#67⋊C4—42no—
374D3×C22⋊C4—24no—
375D3×C22⋊C4—42no—
376D3×C22⋊C4—42no—
377D3×C22⋊C4—42no—
378D3×C22⋊C4—42no—
379D3×C22⋊C4—42no—
380#877—42no—
381C4×D12—42no—
382C3×#95C2311yescharacteristic, complemented
383C3×#95C2311yescharacteristic, complemented
384C3×#95C2311yescharacteristic, complemented
385C3×#95C2311yescharacteristic, complemented
386C3×#95C2311yescharacteristic, complemented
387C3×#95C2311yescharacteristic, complemented
388C3×#95C2311yescharacteristic, complemented
389C3×#95C2311yescharacteristic, complemented
390C3⋊#95C2311yescharacteristic, complemented
391C3⋊#95C2311yescharacteristic, complemented
392C3⋊#95C2311yescharacteristic, complemented
393C3⋊#95C2311yescharacteristic, complemented
394C3⋊#95C2311yescharacteristic, complemented
395C3⋊#95C2311yescharacteristic, complemented
396C3⋊#95C2311yescharacteristic, complemented
397C3⋊#95C2311yescharacteristic, complemented
398C3⋊#95C2311yescharacteristic, complemented
399C3⋊#95C2311yescharacteristic, complemented
400C3⋊#95C2311yescharacteristic, complemented
401C3⋊#95C2311yescharacteristic, complemented
402C3⋊#95C2311yescharacteristic, complemented
403C3⋊#95C2311yescharacteristic, complemented
404C3⋊#95C2311yescharacteristic, complemented
405C3⋊#95C2311yescharacteristic, complemented
406C3⋊#95C2311yescharacteristic, complemented
407C3⋊#95C2311yescharacteristic, complemented
408C3⋊#95C2311yescharacteristic, complemented
409C3⋊#95C2311yescharacteristic, complemented
410C26—31no—
411C2×#126—31no—
412C2×#126C2×D311yescharacteristic, complemented
413C2×#124—31no—
414C2×#123—31no—
415C2×#123—31no—
416C2×C22⋊Q8—31no—
417C2×C22⋊Q8—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×#120—31no—
422C2×#120—31no—
423C2×#120—31no—
424C2×#120—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×#117—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432C22×C22⋊C4—31no—
433C22×C22⋊C4—31no—
434C22×C22⋊C4—31no—
435C22×C22⋊C4—31no—
436C22×C22⋊C4—31no—
437C22×C22⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4C2×D311yescharacteristic
440#399—31no—
441#399—31no—
442#399—31no—
443#399—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#397—31no—
449#397—31no—
450#397—31no—
451#397—31no—
452#397—31no—
453#397—31no—
454#397—31no—
455#397C2×D311yescharacteristic, complemented
456#397C2×D311yescharacteristic, complemented
457#397C2×D311yescharacteristic, complemented
458#396—31no—
459#396—31no—
460#396—31no—
461#396—31no—
462#396—31no—
463#396—31no—
464#396—31no—
465#396C2×D311yescharacteristic, complemented
466#394—31no—
467#394—31no—
468#394—31no—
469#394—31no—
470#394—31no—
471#394—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#393—31no—
477#393—31no—
478#393—31no—
479#393—31no—
480#390—31no—
481#390—31no—
482#390—31no—
483#390—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388C2×D311yescharacteristic, complemented
510#388C2×D311yescharacteristic, complemented
511#388C2×D311yescharacteristic, complemented
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385C2×D311yescharacteristic, complemented
529#385C2×D311yescharacteristic, complemented
530#381—31no—
531#381—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#380C2×D311yescharacteristic, complemented
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541#379—31no—
542#379—31no—
543#379—31no—
544#379—31no—
545#379—31no—
546#379—31no—
547#379—31no—
548#379—31no—
549#379—31no—
550#379—31no—
551#379—31no—
552#379—31no—
553#379—31no—
554#379—31no—
555#379—31no—
556#379—31no—
557#379—31no—
558#379C2×D311yescharacteristic
559#379C2×D311yescharacteristic
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4C2×D311yescharacteristic, complemented
565C24×C3—22no—
566C24×C3—22no—
567C24×C3—22no—
568C24×C3—22no—
569C24×C3—22no—
570C24×C3—41no—
571C24×C3—41no—
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—416no—
616C23×D3—416no—
617C23×D3—416no—
618C23×D3—416no—
619C23×D3—416no—
620C23×D3—416no—
621C23×D3—416no—
622C23×D3#4114yes—
623C23×D3#4114yes—
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×Dic6—41no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C42—41no—
726C3×C42—41no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—41no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C4×Dic3—41no—
804C4×Dic3—41no—
805C4×Dic3—41no—
806C25—31no—
807C25—31no—
808C25—31no—
809C25—31no—
810C25—31no—
811C25—31no—
812C25—64no—
813C25—64no—
814C25—122no—
815C25—122no—
816C25—122no—
817C25—122no—
818C25—122no—
819C25C22×D311yescharacteristic
820C22×Q8—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837#126—42no—
838#126—122no—
839#124—122no—
840#123—122no—
841#123—122no—
842C22⋊Q8—122no—
843C22⋊Q8—122no—
844#120—64no—
845#120—64no—
846#120—122no—
847#120—122no—
848#120—122no—
849#120—122no—
850#120—122no—
851C4×D4—122no—
852C4×D4—122no—
853#117—122no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4C22×D311yescharacteristic, complemented
869C2×C4⋊C4C22×D311yescharacteristic, complemented
870C2×C4⋊C4C22×D311yescharacteristic, complemented
871C2×C4⋊C4C22×D311yescharacteristic, complemented
872C2×C4⋊C4C22×D311yescharacteristic, complemented
873C2×C4⋊C4C22×D311yescharacteristic, complemented
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—42no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4—122no—
938C2×C22⋊C4—122no—
939C2×C22⋊C4—122no—
940C2×C22⋊C4—122no—
941C2×C22⋊C4—122no—
942C2×C22⋊C4—122no—
943C2×C22⋊C4—122no—
944C2×C22⋊C4—122no—
945C2×C22⋊C4—122no—
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42C22×D311yescharacteristic, complemented
968C2×C42C22×D311yescharacteristic, complemented
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95C22×D311yescharacteristic, complemented
990#95C22×D311yescharacteristic, complemented
991#95C22×D311yescharacteristic, complemented
992#95C22×D311yescharacteristic, complemented
993#95C22×D311yescharacteristic, complemented
994#95C22×D311yescharacteristic, complemented
995#95C22×D311yescharacteristic, complemented
996#95C22×D311yescharacteristic, complemented
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—28no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—44no—
1015C23×C3—44no—
1016C23×C3—44no—
1017C23×C3—44no—
1018C23×C3—44no—
1019C23×C3—44no—
1020C23×C3C2×#4112yes—
1021C23×C3C2×#4112yes—
1022C23×C3H(5,𝔽2)12yes—
1023C23×C3H(5,𝔽2)12yes—
1024C23×C3H(5,𝔽2)12yes—
1025C23×C3C2511yescharacteristic
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—28no—
1031C22×D3—28no—
1032C22×D3—28no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—28no—
1052C22×D3—28no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—44no—
1069C22×D3—44no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—44no—
1075C22×D3—44no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—44no—
1083C22×D3—44no—
1084C22×D3—44no—
1085C22×D3—44no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—4128no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3C2×#4112yes—
1099C22×D3C2×#4112yes—
1100C22×D3C2×#4112yes—
1101C22×D3C2×#4112yes—
1102C22×D3H(5,𝔽2)12yes—
1103C22×D3H(5,𝔽2)12yes—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—82no—
1141C2×C3×C4—82no—
1142#67—44no—
1143#67—82no—
1144#67—82no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—44no—
1179C2×Dic3—82no—
1180D12—44no—
1181D12—82no—
1182D12—82no—
1183D12—82no—
1184C4×D3—82no—
1185C4×D3—82no—
1186C4×D3—82no—
1187C4×D3—82no—
1188C4×D3—82no—
1189Dic6—82no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—31no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—34no—
1200C24—34no—
1201C24—31no—
1202C24—41no—
1203C24—41no—
1204C24—62no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—62no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—62no—
1214C24—62no—
1215C24—62no—
1216C24—62no—
1217C24—62no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—121no—
1227C24—121no—
1228C24—121no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24—121no—
1241C24—121no—
1242C24—121no—
1243C24—121no—
1244C24—1216no—
1245C24—1216no—
1246C24—1216no—
1247C24—1216no—
1248C24—1216no—
1249C24—1216no—
1250C24—1216no—
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C2×Q8—121no—
1255C2×Q8—121no—
1256C2×Q8—121no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C42—41no—
1425C42—41no—
1426C42—121no—
1427C42—121no—
1428C42—121no—
1429C42—121no—
1430C42—121no—
1431C22×C3—22no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—416no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3#53814yes—
1453C22×C3C22×#4111yescharacteristic
1454C22×C3C22×#4111yescharacteristic
1455C22×C3C2×H(5,𝔽2)11yescharacteristic
1456C22×C3C2×H(5,𝔽2)11yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3C2×H(5,𝔽2)11yescharacteristic
1459C22×C3C2×H(5,𝔽2)11yescharacteristic
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—22no—
1471C2×D3—22no—
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—416no—
1476C2×D3—416no—
1477C2×D3—416no—
1478C2×D3—416no—
1479C2×D3—416no—
1480C2×D3—416no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3#55114yes—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504C3×C4—41no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—28no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—32no—
1542C23—32no—
1543C23—32no—
1544C23—32no—
1545C23—32no—
1546C23—32no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—68no—
1554C23—68no—
1555C23—68no—
1556C23—68no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—68no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—124no—
1588C23—124no—
1589C23—124no—
1590C23—124no—
1591C23—124no—
1592C23—124no—
1593C23—124no—
1594C23—124no—
1595C23—124no—
1596C23—124no—
1597C23—124no—
1598C23—124no—
1599C23—124no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—124no—
1613C23—124no—
1614C23—124no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—12128no—
1622C23—124no—
1623C23—124no—
1624C23—124no—
1625C23#100412yes—
1626C23D3×#4112yes—
1627C23D3×#4112yes—
1628C23#100912yes—
1629C23#100912yes—
1630C23C24×D311yescharacteristic
1631Q8—242no—
1632D4—124no—
1633D4—124no—
1634D4—242no—
1635D4—242no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—124no—
1711C2×C4—242no—
1712C2×C4—242no—
1713C2×C4—242no—
1714C2×C4—242no—
1715C2×C4—242no—
1716C2×C4—242no—
1717C2×C3—24no—
1718C2×C3—42no—
1719C2×C3—42no—
1720C2×C3C2×#53811yescharacteristic
1721C2×C3C2×#55111yescharacteristic
1722C2×C3#349011yescharacteristic
1723C2×C3#349011yescharacteristic
1724C2×C3#349011yescharacteristic
1725C2×C3#353211yescharacteristic
1726C2×C3#353211yescharacteristic
1727D3—24no—
1728D3—42no—
1729D3—42no—
1730D3—42no—
1731D3—81no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—34no—
1745C22—416no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—62no—
1755C22—62no—
1756C22—62no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—1216no—
1770C22—1216no—
1771C22—1216no—
1772C22—1216no—
1773C22—1216no—
1774C22—1216no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22#570414yes—
1795C22C2×#100411yescharacteristic
1796C22C2×D3×#4111yescharacteristic
1797C22C2×D3×#4111yescharacteristic
1798C22C2×#100911yescharacteristic
1799C22C2×#100911yescharacteristic
1800C22D3×H(5,𝔽2)11yescharacteristic
1801C22D3×H(5,𝔽2)11yescharacteristic
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C3#3784811yescharacteristic, complemented, Sylow
1826C2—24no—
1827C2—42no—
1828C2—42no—
1829C2—64no—
1830C2—122no—
1831C2—122no—
1832C2—122no—
1833C2—241no—
1834C2#8604311yescharacteristic
1835C2C2×#570411yescharacteristic
1836C2#8641811yescharacteristic
1837C2#8666411yescharacteristic
1838C2#8666711yescharacteristic
1839C2D3×#55111yescharacteristic
1840C2#8681511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2480C2
prime radical#73861C2
hypercenter#2480D3
hypocenterC3#37848
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C3×#2480C2semidirect
2. #83114C2semidirect
3. #83081C2semidirect
4. C2×#4955C2semidirect
5. #82111C2semidirect
6. #77706C2semidirect
7. #77705C2semidirect
8. #77691C2semidirect
9. #77685C2semidirect
10. #77481C2semidirect
11. #77474C2semidirect
12. #77437C2semidirect
13. #77424C2semidirect
14. #75934C2semidirect
15. #75933C2semidirect
16. #75919C2semidirect
17. #75845C2semidirect
18. #75827C2semidirect
19. #75825C2semidirect
20. #74607C2semidirect
21. #74602C2semidirect
22. #74452C2semidirect
23. #74406C2semidirect
24. #74021C2semidirect
25. #74009C2semidirect
27. D3×#379C2semidirect
28. #73834C2semidirect
29. #73832C2semidirect
30. #73605C2semidirect
31. #73577C2semidirect
34. C2×C3×#126C22semidirect
42. C2×#924C22semidirect
43. C2×#898C22semidirect
44. C2×#896C22semidirect
45. C2×#894C22semidirect
46. C2×#886C22semidirect
47. C2×#885C22semidirect
54. C2×#67⋊C4C22semidirect
61. C2×#877C22semidirect
62. C2×C4×D12C22semidirect
63. C3×#397C22semidirect
64. C3×#397C22semidirect
65. C3×#397C22semidirect
66. C3×#396C22semidirect
67. C3×#388C22semidirect
68. C3×#388C22semidirect
69. C3×#388C22semidirect
70. C3×#385C22semidirect
71. C3×#385C22semidirect
72. C3×#380C22semidirect
75. C3×C4×C22⋊C4C22semidirect
77. #5213C22semidirect
78. #5213C22semidirect
79. C4×#217C22semidirect
80. #4994C22semidirect
81. #4994C22semidirect
82. #4994C22semidirect
83. #4994C22semidirect
84. #4993C22semidirect
85. #4993C22semidirect
86. #4992C22semidirect
87. #4991C22semidirect
88. #4991C22semidirect
89. #4991C22semidirect
90. #4990C22semidirect
91. #4990C22semidirect
92. #4990C22semidirect
93. #4990C22semidirect
94. #4989C22semidirect
95. #4989C22semidirect
96. #4989C22semidirect
97. #4988C22semidirect
98. #4988C22semidirect
99. #4987C22semidirect
100. #4987C22semidirect
101. #4961C22semidirect
102. #4959C22semidirect
103. #4959C22semidirect
104. #4959C22semidirect
105. #4957C22semidirect
106. #4956C22semidirect
107. #4956C22semidirect
128. #4952C22semidirect
129. #4952C22semidirect
130. #4952C22semidirect
131. #4951C22semidirect
132. #4951C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
135. #4951C22semidirect
136. #4950C22semidirect
137. #4949C22semidirect
138. #4949C22semidirect
139. #4948C22semidirect
140. #4948C22semidirect
141. #4947C22semidirect
142. #4946C22semidirect
143. #4945C22semidirect
144. #4945C22semidirect
145. #4944C22semidirect
146. #4943C22semidirect
147. #4943C22semidirect
148. #4942C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
151. #4940C22semidirect
152. #4940C22semidirect
153. #4940C22semidirect
154. #4939C22semidirect
155. C4×(C2×D3)⋊C4C22semidirect
156. #4676C22semidirect
157. #4675C22semidirect
158. #4675C22semidirect
159. #4674C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
162. #4674C22semidirect
163. #4674C22semidirect
164. #4673C22semidirect
165. #4673C22semidirect
166. #4673C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
172. #4670C22semidirect
173. #4670C22semidirect
174. #4669C22semidirect
175. #4669C22semidirect
176. #4669C22semidirect
177. #4669C22semidirect
178. #4668C22semidirect
179. #4668C22semidirect
180. #4667C22semidirect
181. #4666C22semidirect
182. #4666C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
205. #2480D3semidirect
248. C22×C4×D3C23semidirect
249. C22×Dic6C23semidirect
251. C2×C3×C4⋊C4C23semidirect
252. C2×C3×C4⋊C4C23semidirect
253. C2×C3×C4⋊C4C23semidirect
254. C2×C3×C4⋊C4C23semidirect
255. C2×C3×C4⋊C4C23semidirect
256. C2×C3×C4⋊C4C23semidirect
274. C2×C3×C42C23semidirect
275. C2×C3×C42C23semidirect
335. C2×(C2×D3)⋊C4C23semidirect
336. C2×(C2×D3)⋊C4C23semidirect
337. C2×(C2×D3)⋊C4C23semidirect
338. C2×(C2×D3)⋊C4C23semidirect
339. C2×(C2×D3)⋊C4C23semidirect
340. C2×(C2×D3)⋊C4C23semidirect
341. C2×(C2×D3)⋊C4C23semidirect
342. C2×C4⋊Dic3C23semidirect
343. C2×C4⋊Dic3C23semidirect
344. C2×C4⋊Dic3C23semidirect
345. C2×C4⋊Dic3C23semidirect
346. C2×C4⋊Dic3C23semidirect
348. C2×Dic3⋊C4C23semidirect
349. C2×Dic3⋊C4C23semidirect
350. C2×Dic3⋊C4C23semidirect
351. C2×Dic3⋊C4C23semidirect
352. C2×Dic3⋊C4C23semidirect
353. C2×Dic3⋊C4C23semidirect
354. C2×Dic3⋊C4C23semidirect
355. C2×Dic3⋊C4C23semidirect
356. C2×Dic3⋊C4C23semidirect
357. C2×C4×Dic3C23semidirect
358. C2×C4×Dic3C23semidirect
359. C2×C4×Dic3C23semidirect
360. C2×C4×Dic3C23semidirect
361. C2×C4×Dic3C23semidirect
382. C3×#95C23semidirect
383. C3×#95C23semidirect
384. C3×#95C23semidirect
385. C3×#95C23semidirect
386. C3×#95C23semidirect
387. C3×#95C23semidirect
388. C3×#95C23semidirect
389. C3×#95C23semidirect
390. C3⋊#95C23semidirect
391. C3⋊#95C23semidirect
392. C3⋊#95C23semidirect
393. C3⋊#95C23semidirect
394. C3⋊#95C23semidirect
395. C3⋊#95C23semidirect
396. C3⋊#95C23semidirect
397. C3⋊#95C23semidirect
398. C3⋊#95C23semidirect
399. C3⋊#95C23semidirect
400. C3⋊#95C23semidirect
401. C3⋊#95C23semidirect
402. C3⋊#95C23semidirect
403. C3⋊#95C23semidirect
404. C3⋊#95C23semidirect
405. C3⋊#95C23semidirect
406. C3⋊#95C23semidirect
407. C3⋊#95C23semidirect
408. C3⋊#95C23semidirect
409. C3⋊#95C23semidirect
412. C2×#126C2×D3semidirect
455. #397C2×D3semidirect
456. #397C2×D3semidirect
457. #397C2×D3semidirect
465. #396C2×D3semidirect
509. #388C2×D3semidirect
510. #388C2×D3semidirect
511. #388C2×D3semidirect
528. #385C2×D3semidirect
529. #385C2×D3semidirect
536. #380C2×D3semidirect
564. C4×C22⋊C4C2×D3semidirect
868. C2×C4⋊C4C22×D3semidirect
869. C2×C4⋊C4C22×D3semidirect
870. C2×C4⋊C4C22×D3semidirect
871. C2×C4⋊C4C22×D3semidirect
872. C2×C4⋊C4C22×D3semidirect
873. C2×C4⋊C4C22×D3semidirect
967. C2×C42C22×D3semidirect
968. C2×C42C22×D3semidirect
989. #95C22×D3semidirect
990. #95C22×D3semidirect
991. #95C22×D3semidirect
992. #95C22×D3semidirect
993. #95C22×D3semidirect
994. #95C22×D3semidirect
995. #95C22×D3semidirect
996. #95C22×D3semidirect
1825. C3#37848semidirect

Maximal subgroups

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

subgroupindex
C3×#24802
#831142
#830812
C2×#49552
#821112
#777062
#777052
#776912
#776852
#774812
#774742
#774372
#774242
#759342
#759332
#759192
#758452
#758272
#758252
#746072
#746022
#744522
#744062
#740212
#740092
#738612
D3×#3792
#738342
#738322
#736052
#735772
#378483