Finite Group Databasebeta

← #11025558

Subgroups — #11025558

Order 768.

3060 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5697C211yesmaximal, characteristic, complemented
2C22×#895C211yesmaximal, characteristic, complemented
3C3×#2473C211yesmaximal, characteristic, complemented
4#83070C211yesmaximal, characteristic, complemented
5#82195C211yesmaximal, characteristic, complemented
6#78365C211yesmaximal, characteristic, complemented
7#78212C211yesmaximal, characteristic, complemented
8#77978C211yesmaximal, characteristic, complemented
9#77967C211yesmaximal, characteristic, complemented
10#77967C211yesmaximal, characteristic, complemented
11#77838C211yesmaximal, characteristic, complemented
12#77753C211yesmaximal, characteristic, complemented
13#77753C211yesmaximal, characteristic, complemented
14#76265C211yesmaximal, characteristic, complemented
15#76220C211yesmaximal, characteristic, complemented
16#75387C211yesmaximal, characteristic, complemented
17#75387C211yesmaximal, characteristic, complemented
18#75014C211yesmaximal, characteristic, complemented
19#74952C211yesmaximal, characteristic, complemented
20#74656C211yesmaximal, characteristic, complemented
21#74605C211yesmaximal, characteristic, complemented
22#74601C211yesmaximal, characteristic, complemented
23#74601C211yesmaximal, characteristic, complemented
24#74601C211yesmaximal, characteristic, complemented
25#74599C211yesmaximal, characteristic, complemented
26#74596C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#74016C211yesmaximal, characteristic, complemented
30#73587C211yesmaximal, characteristic, complemented
31#73574C211yesmaximal, characteristic, complemented
32#37722—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#125C2211yescharacteristic, complemented
38C22×C3×C4⋊C4C2211yescharacteristic
39C2×#930C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43#5697—28no—
44C2×#895—28no—
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic, complemented
61C2×#895C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×#894C2211yescharacteristic, complemented
68C2×#893C2211yescharacteristic, complemented
69C2×#893C2211yescharacteristic, complemented
70C2×#893C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×#874C2211yescharacteristic, complemented
81C2×#874C2211yescharacteristic, complemented
82C2×#872C2211yescharacteristic, complemented
83C3×#400C2211yescharacteristic, complemented
84C3×#398C2211yescharacteristic, complemented
85C3×#398C2211yescharacteristic, complemented
86C3×#398C2211yescharacteristic, complemented
87C3×#389C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#387C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic
91C3×#385C2211yescharacteristic
92C3×#385C2211yescharacteristic
93C3×#385C2211yescharacteristic
94C3×#380C2211yescharacteristic
95C3×C4×C22⋊C4C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5210C2211yescharacteristic
100#4994C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4991C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4990C2211yescharacteristic, complemented
117#4990C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4989C2211yescharacteristic, complemented
120#4989C2211yescharacteristic, complemented
121#4989C2211yescharacteristic, complemented
122#4989C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4988C2211yescharacteristic, complemented
125#4988C2211yescharacteristic, complemented
126#4988C2211yescharacteristic, complemented
127#4988C2211yescharacteristic, complemented
128#4982C2211yescharacteristic, complemented
129#4980C2211yescharacteristic, complemented
130#4958C2211yescharacteristic
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4946C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4939C2211yescharacteristic, complemented
140#4939C2211yescharacteristic, complemented
141C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
142#4675C2211yescharacteristic, complemented
143#4672C2211yescharacteristic, complemented
144#4672C2211yescharacteristic, complemented
145#4672C2211yescharacteristic, complemented
146#4672C2211yescharacteristic, complemented
147#4672C2211yescharacteristic, complemented
148#4672C2211yescharacteristic, complemented
149#4671C2211yescharacteristic, complemented
150#4671C2211yescharacteristic, complemented
151#4671C2211yescharacteristic, complemented
152#4671C2211yescharacteristic, complemented
153#4671C2211yescharacteristic, complemented
154#4671C2211yescharacteristic, complemented
155#4671C2211yescharacteristic, complemented
156#4671C2211yescharacteristic, complemented
157#4671C2211yescharacteristic, complemented
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#121—31no—
192#2849—31no—
193#2711—31no—
194#2701—31no—
195#2699—31no—
196#2688—31no—
197#2673—31no—
198#2673—31no—
199#2671—31no—
200#2671—31no—
201#2661—31no—
202#2635—31no—
203#2476—31no—
204#2473D311yescharacteristic, complemented
205#2464—31no—
206#2464—31no—
207#2443—31no—
208#2433—31no—
209#2428—31no—
210#2424—31no—
211#2418—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2408—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2333—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C22×D12—24no—
231C22×D12—24no—
232C22×D12—24no—
233C22×D12—42no—
234C22×D12—42no—
235C22×D12—42no—
236C22×D12—42no—
237C22×D12—42no—
238C22×D12—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×C4×D3—24no—
265C22×C4×D3—42no—
266C22×C4×D3—42no—
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C3×#125—24no—
278C2×C3×C4⋊C4—24no—
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#930—42no—
302C4×#67—42no—
303C2×(C2×D3)⋊C4—24no—
304C2×(C2×D3)⋊C4—24no—
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
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#895—24no—
369#895—24no—
370#895—24no—
371#895—24no—
372#895—24no—
373#895—24no—
374#895—24no—
375#895—24no—
376#895—24no—
377#895—24no—
378#895—24no—
379#895—24no—
380#895—42no—
381#895—42no—
382#895—42no—
383#895—42no—
384#895D418yescomplemented
385#894—24no—
386#894—24no—
387#894—24no—
388#894—24no—
389#894—42no—
390#894—42no—
391#893—24no—
392#893—24no—
393#893—42no—
394#882—24no—
395#882—24no—
396#882—42no—
397#882—42no—
398#882—42no—
399#882—42no—
400#67⋊C4—42no—
401D3×C22⋊C4—24no—
402D3×C22⋊C4—42no—
403#874—24no—
404#874—42no—
405#872—24no—
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C24×C4—31no—
436#540—68no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#125C2×D311yescharacteristic, complemented
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—68no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×#117—31no—
477C22×C4⋊C4C2×D311yescharacteristic
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482#400C2×D311yescharacteristic, complemented
483#399—31no—
484#399—31no—
485#398—31no—
486#398C2×D311yescharacteristic, complemented
487#398C2×D311yescharacteristic, complemented
488#398C2×D311yescharacteristic, complemented
489#397—31no—
490#397—31no—
491#396—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389C2×D311yescharacteristic, complemented
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#387—31no—
540#387C2×D311yescharacteristic, complemented
541#387C2×D311yescharacteristic, complemented
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385C2×D311yescharacteristic
571#385C2×D311yescharacteristic
572#385C2×D311yescharacteristic
573#385C2×D311yescharacteristic
574#381—31no—
575#381—31no—
576#381—31no—
577#380—31no—
578#380C2×D311yescharacteristic
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4C2×D311yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
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×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—41no—
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—416no—
709C2×D12—416no—
710C2×D12—416no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12C2×D414yes—
735C2×D12C2×D414yes—
736C2×D12C2×D414yes—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—416no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3C2×D414yes—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—22no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—22no—
775C3×C4⋊C4—22no—
776C3×C4⋊C4—22no—
777C3×C4⋊C4—22no—
778C3×C4⋊C4—41no—
779C3×C4⋊C4—41no—
780C3×C4⋊C4—41no—
781C3×C4⋊C4C2×D414yes—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4#4114yes—
786C3×C42—22no—
787C3×C42—41no—
788#217—22no—
789#217—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4C2×D414yes—
841(C2×D3)⋊C4C2×D414yes—
842C4⋊Dic3—41no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849C4×Dic3—22no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C25—31no—
854C25—31no—
855C25—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—64no—
884C22×D4—64no—
885C22×D4—64no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4—122no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—64no—
904C23×C4—122no—
905C23×C4—122no—
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909#127—64no—
910#127—122no—
911#125—24no—
912#123—64no—
913#123—64no—
914#123—64no—
915#123—64no—
916#123—122no—
917#123—122no—
918#121—38no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—122no—
932#121—122no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—64no—
937#120—64no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947#117—64no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—64no—
1025C2×C22⋊C4—64no—
1026C2×C22⋊C4—64no—
1027C2×C22⋊C4—122no—
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42C22×D311yescharacteristic
1037C2×C42C22×D311yescharacteristic
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95C22×D311yescharacteristic
1053#95C22×D311yescharacteristic
1054#95C22×D311yescharacteristic
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3C2×#4112yes—
1069C23×C3H(5,𝔽2)12yes—
1070C23×C3H(5,𝔽2)12yes—
1071C23×C3C2511yescharacteristic
1072C22×D3—28no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3C22×D412yes—
1146C22×D3C22×D412yes—
1147C22×D3C22×D412yes—
1148C22×D3H(5,𝔽2)12yes—
1149C2×C3×C4—28no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—44no—
1187C2×C3×C4—44no—
1188C2×C3×C4C22×D412yes—
1189C2×C3×C4C22×D412yes—
1190C2×C3×C4C22×D412yes—
1191C2×C3×C4C2×#4112yes—
1192C2×C3×C4C2×#4112yes—
1193C2×C3×C4H(5,𝔽2)12yes—
1194#67—44no—
1195#67—44no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—44no—
1220C2×Dic3C22×D412yes—
1221D12—44no—
1222D12—44no—
1223D12—44no—
1224D12—44no—
1225D12—44no—
1226D12—44no—
1227D12—44no—
1228D12—44no—
1229D12—44no—
1230D12—44no—
1231D12—44no—
1232D12—44no—
1233D12—44no—
1234D12—44no—
1235D12—44no—
1236D12—82no—
1237D12—82no—
1238D12—82no—
1239D12—82no—
1240D12—82no—
1241D12—82no—
1242D12—82no—
1243D12—82no—
1244D12—82no—
1245D12—82no—
1246C4×D3—44no—
1247C4×D3—44no—
1248C4×D3—44no—
1249C4×D3—44no—
1250C4×D3—44no—
1251C4×D3—82no—
1252C4×D3—82no—
1253C4×D3—82no—
1254C4×D3—82no—
1255C4×D3—82no—
1256C24—31no—
1257C24—31no—
1258C24—31no—
1259C24—31no—
1260C24—31no—
1261C24—31no—
1262C24—31no—
1263C24—31no—
1264C24—62no—
1265C24—62no—
1266C24—62no—
1267C24—62no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24—121no—
1283C24—121no—
1284C24—121no—
1285C24C23×D311yescharacteristic
1286C2×D4—34no—
1287C2×D4—34no—
1288C2×D4—34no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—1216no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—1216no—
1369C2×D4—1216no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—31no—
1378C22×C4—34no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—62no—
1391C22×C4—62no—
1392C22×C4—62no—
1393C22×C4—62no—
1394C22×C4—62no—
1395C22×C4—62no—
1396C22×C4—62no—
1397C22×C4—62no—
1398C22×C4—62no—
1399C22×C4—62no—
1400C22×C4—62no—
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—1216no—
1420C22×C4—121no—
1421C22×C4C23×D311yescharacteristic
1422C22×C4C23×D311yescharacteristic
1423C22×C4C23×D311yescharacteristic
1424C22×C4C23×D311yescharacteristic
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—121no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4D3×D414yes—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—34no—
1460C22⋊C4—34no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4#23914yes—
1514C42—22no—
1515C42—41no—
1516C42—62no—
1517C42—121no—
1518C42—121no—
1519C42—121no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—22no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3#54014yescomplemented
1527C22×C3C23×D411yescharacteristic
1528C22×C3C22×#4111yescharacteristic
1529C22×C3C2×H(5,𝔽2)11yescharacteristic
1530C22×C3C2×H(5,𝔽2)11yescharacteristic
1531C22×C3C2×H(5,𝔽2)11yescharacteristic
1532C22×C3C2×H(5,𝔽2)11yescharacteristic
1533C22×C3#58511yescharacteristic
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—22no—
1538C2×D3—22no—
1539C2×D3—22no—
1540C2×D3—22no—
1541C2×D3—22no—
1542C2×D3—22no—
1543C2×D3—22no—
1544C2×D3—22no—
1545C2×D3—22no—
1546C2×D3—416no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—88no—
1592C2×D3—88no—
1593C3×C4—22no—
1594C3×C4—22no—
1595C3×C4—22no—
1596C3×C4—22no—
1597C3×C4—22no—
1598C3×C4—22no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607Dic3—22no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—32no—
1620C23—32no—
1621C23—32no—
1622C23—32no—
1623C23—68no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—124no—
1677C23—124no—
1678C23—124no—
1679C23—124no—
1680C23—124no—
1681C23—124no—
1682C23—124no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—242no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23—242no—
1696C23C2×#23912yes—
1697C23#100912yes—
1698C23#100912yes—
1699C23C24×D311yescharacteristic
1700D4—124no—
1701D4—124no—
1702D4—124no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—124no—
1716D4—124no—
1717D4—242no—
1718D4—242no—
1719D4—242no—
1720D4—242no—
1721D4—242no—
1722D4—242no—
1723D4—242no—
1724D4—242no—
1725D4—242no—
1726D4—242no—
1727C2×C4—28no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—32no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—124no—
1791C2×C4—124no—
1792C2×C4—124no—
1793C2×C4—124no—
1794C2×C4—124no—
1795C2×C4—124no—
1796C2×C4—242no—
1797C2×C4—242no—
1798C2×C4—242no—
1799C2×C4—242no—
1800C2×C4—242no—
1801C2×C4C2×D3×D412yes—
1802C2×C4C2×D3×D412yes—
1803C2×C4C2×D3×D412yes—
1804C2×C4C2×#23912yes—
1805C2×C4C2×#23912yes—
1806C2×C4#100912yes—
1807C2×C3—24no—
1808C2×C3C2×#54011yescharacteristic
1809C2×C3D4×#4111yescharacteristic
1810C2×C3#348411yescharacteristic
1811C2×C3#348411yescharacteristic
1812C2×C3#351911yescharacteristic
1813C2×C3#353411yescharacteristic
1814C2×C3#354211yescharacteristic
1815D3—42no—
1816D3—42no—
1817D3—42no—
1818D3—42no—
1819D3—81no—
1820D3—81no—
1821D3—81no—
1822D3—81no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—62no—
1830C22—62no—
1831C22—62no—
1832C22—62no—
1833C22—62no—
1834C22—62no—
1835C22—62no—
1836C22—62no—
1837C22—62no—
1838C22—62no—
1839C22—62no—
1840C22—62no—
1841C22—1216no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—248no—
1887C22—248no—
1888C22#569714yescomplemented
1889C22C22×D3×D411yescharacteristic
1890C22C22×#23911yescharacteristic
1891C22C2×#100911yescharacteristic
1892C22C2×#100911yescharacteristic
1893C22C2×#100911yescharacteristic
1894C22D3×H(5,𝔽2)11yescharacteristic
1895C22#596811yescharacteristic
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—62no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C4—121no—
1915C4—121no—
1916C4—121no—
1917C4—121no—
1918C3#3772211yescharacteristic, complemented, Sylow
1919C2—24no—
1920C2—122no—
1921C2—122no—
1922C2—122no—
1923C2—122no—
1924C2—241no—
1925C2—241no—
1926C2—241no—
1927C2—241no—
1928C2#8603911yescharacteristic
1929C2C2×#569711yescharacteristic
1930C2#8645811yescharacteristic
1931C2#8666211yescharacteristic
1932C2D4×#23911yescharacteristic
1933C2#8684611yescharacteristic
1934C2#8693311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2473C2
hypercenter#2473D3
hypocenterC3#37722
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#5697C2semidirect
2. C22×#895C2semidirect
3. C3×#2473C2semidirect
4. #83070C2semidirect
5. #82195C2semidirect
6. #78365C2semidirect
7. #78212C2semidirect
8. #77978C2semidirect
9. #77967C2semidirect
10. #77967C2semidirect
11. #77838C2semidirect
12. #77753C2semidirect
13. #77753C2semidirect
14. #76265C2semidirect
15. #76220C2semidirect
16. #75387C2semidirect
17. #75387C2semidirect
18. #75014C2semidirect
19. #74952C2semidirect
20. #74656C2semidirect
21. #74605C2semidirect
22. #74601C2semidirect
23. #74601C2semidirect
24. #74601C2semidirect
25. #74599C2semidirect
26. #74596C2semidirect
27. #74379C2semidirect
28. #74021C2semidirect
29. #74016C2semidirect
30. #73587C2semidirect
31. #73574C2semidirect
37. C2×C3×#125C22semidirect
53. C2×#895C22semidirect
54. C2×#895C22semidirect
55. C2×#895C22semidirect
56. C2×#895C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
59. C2×#895C22semidirect
60. C2×#895C22semidirect
61. C2×#895C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
64. C2×#894C22semidirect
65. C2×#894C22semidirect
66. C2×#894C22semidirect
67. C2×#894C22semidirect
68. C2×#893C22semidirect
69. C2×#893C22semidirect
70. C2×#893C22semidirect
80. C2×#874C22semidirect
81. C2×#874C22semidirect
82. C2×#872C22semidirect
83. C3×#400C22semidirect
84. C3×#398C22semidirect
85. C3×#398C22semidirect
86. C3×#398C22semidirect
87. C3×#389C22semidirect
88. C3×#387C22semidirect
89. C3×#387C22semidirect
100. #4994C22semidirect
101. #4993C22semidirect
102. #4993C22semidirect
103. #4992C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4991C22semidirect
115. #4990C22semidirect
116. #4990C22semidirect
117. #4990C22semidirect
118. #4989C22semidirect
119. #4989C22semidirect
120. #4989C22semidirect
121. #4989C22semidirect
122. #4989C22semidirect
123. #4989C22semidirect
124. #4988C22semidirect
125. #4988C22semidirect
126. #4988C22semidirect
127. #4988C22semidirect
128. #4982C22semidirect
129. #4980C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4939C22semidirect
140. #4939C22semidirect
141. C4×(C2×D3)⋊C4C22semidirect
142. #4675C22semidirect
143. #4672C22semidirect
144. #4672C22semidirect
145. #4672C22semidirect
146. #4672C22semidirect
147. #4672C22semidirect
148. #4672C22semidirect
149. #4671C22semidirect
150. #4671C22semidirect
151. #4671C22semidirect
152. #4671C22semidirect
153. #4671C22semidirect
154. #4671C22semidirect
155. #4671C22semidirect
156. #4671C22semidirect
157. #4671C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4670C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4667C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4664C22semidirect
188. #4664C22semidirect
189. #4664C22semidirect
204. #2473D3semidirect
384. #895D4semidirect
439. C2×#125C2×D3semidirect
482. #400C2×D3semidirect
486. #398C2×D3semidirect
487. #398C2×D3semidirect
488. #398C2×D3semidirect
528. #389C2×D3semidirect
540. #387C2×D3semidirect
541. #387C2×D3semidirect
1526. C22×C3#540semidirect
1888. C22#5697semidirect
1918. C3#37722semidirect

Maximal subgroups

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

subgroupindex
C2×#56972
C22×#8952
C3×#24732
#830702
#821952
#783652
#782122
#779782
#779672
#778382
#777532
#762652
#762202
#753872
#750142
#749522
#746562
#746052
#746012
#745992
#745962
#743792
#740212
#740162
#735872
#735742
#377223