Finite Group Databasebeta

← #11635955

Subgroups — #11635955

Order 768.

3232 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5633C211yesmaximal, characteristic, complemented
2C2×#5632C211yesmaximal, characteristic, complemented
3C2×#5490C211yesmaximal, characteristic, complemented
4C22×#885C211yesmaximal, characteristic, complemented
5C3×#2437C211yesmaximal, characteristic, complemented
6#82790C211yesmaximal, characteristic, complemented
7#82769C211yesmaximal, characteristic, complemented
8#82109C211yesmaximal, characteristic, complemented
9#82099C211yesmaximal, characteristic, complemented
10#78115C211yesmaximal, characteristic, complemented
11#78036C211yesmaximal, characteristic, complemented
12#77429C211yesmaximal, characteristic, complemented
13#77315C211yesmaximal, characteristic, complemented
14#77295C211yesmaximal, characteristic, complemented
15#77286C211yesmaximal, characteristic, complemented
16#76792C211yesmaximal, characteristic, complemented
17#76781C211yesmaximal, characteristic, complemented
18#74605C211yesmaximal, characteristic, complemented
19#74596C211yesmaximal, characteristic, complemented
20#74509C211yesmaximal, characteristic, complemented
21#74431C211yesmaximal, characteristic, complemented
22#74411C211yesmaximal, characteristic, complemented
23#74405C211yesmaximal, characteristic, complemented
24#74398C211yesmaximal, characteristic, complemented
25#74381C211yesmaximal, characteristic, complemented
26#73915C211yesmaximal, characteristic, complemented
27#73896C211yesmaximal, characteristic, complemented
28#73895C211yesmaximal, characteristic, complemented
29#73865C211yesmaximal, characteristic, complemented
30#73829C211yesmaximal, characteristic, complemented
31#73824C211yesmaximal, characteristic, complemented
32#59130—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×D3×Q8C2211yescharacteristic, complemented
35C22×#235C2211yescharacteristic
36C23×Dic6C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#947C2211yescharacteristic, complemented
45C2×#944C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#929C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C22×C4×Dic3C2211yescharacteristic
55#5633—28no—
56#5632—28no—
57C2×#897C2211yescharacteristic, complemented
58C2×#896C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#896C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic, complemented
64C2×#893C2211yescharacteristic, complemented
65C2×#893C2211yescharacteristic, complemented
66C2×#888C2211yescharacteristic, complemented
67C2×#888C2211yescharacteristic, complemented
68C2×#887C2211yescharacteristic, complemented
69C2×#887C2211yescharacteristic, complemented
70C2×#885—28no—
71C2×#885C2211yescharacteristic
72C2×#885C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#885C2211yescharacteristic
78C2×#885C2211yescharacteristic
79C2×#885C2211yescharacteristic
80C2×#885C2211yescharacteristic, complemented
81#5490—28no—
82C2×#884C2211yescharacteristic
83C2×#884C2211yescharacteristic
84C2×#884C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic, complemented
87C2×#883C2211yescharacteristic
88C2×#882C2211yescharacteristic
89C2×#882C2211yescharacteristic
90C2×#67⋊C4C2211yescharacteristic
91C2×#67⋊C4C2211yescharacteristic
92C2×#67⋊C4C2211yescharacteristic
93C2×D3×C22⋊C4C2211yescharacteristic
94C2×#878C2211yescharacteristic
95C2×#878C2211yescharacteristic
96C3×#399C2211yescharacteristic, complemented
97C3×#396C2211yescharacteristic, complemented
98C3×#396C2211yescharacteristic, complemented
99C3×#393C2211yescharacteristic, complemented
100C3×#385C2211yescharacteristic
101C3×#385C2211yescharacteristic
102C3×#385C2211yescharacteristic, complemented
103C3×#385C2211yescharacteristic, complemented
104C3×#380C2211yescharacteristic
105C3×#380C2211yescharacteristic, complemented
106C3×#379C2211yescharacteristic
107#5231C2211yescharacteristic, complemented
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic, complemented
110#5210C2211yescharacteristic
111#5210C2211yescharacteristic, complemented
112C4×#217C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4993C2211yescharacteristic, complemented
116#4992C2211yescharacteristic, complemented
117#4991C2211yescharacteristic, complemented
118#4991C2211yescharacteristic, complemented
119#4991C2211yescharacteristic, complemented
120#4990C2211yescharacteristic, complemented
121#4990C2211yescharacteristic, complemented
122#4990C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4988C2211yescharacteristic, complemented
126#4988C2211yescharacteristic, complemented
127#4988C2211yescharacteristic, complemented
128#4988C2211yescharacteristic, complemented
129#4979C2211yescharacteristic, complemented
130#4979C2211yescharacteristic, complemented
131#4978C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133Dic3×C4⋊C4C2211yescharacteristic, complemented
134Dic3×C4⋊C4C2211yescharacteristic, complemented
135#4972C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic, complemented
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4958C2211yescharacteristic
146#4958C2211yescharacteristic
147#4958C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4957C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4955C2211yescharacteristic
156#4952C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4948C2211yescharacteristic, complemented
160#4947C2211yescharacteristic, complemented
161#4946C2211yescharacteristic
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4942C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic
168#4676C2211yescharacteristic, complemented
169#4673C2211yescharacteristic, complemented
170#4673C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4671C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4669C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×D4×Q8—31no—
193C2×#548—31no—
194C2×#546—31no—
195C22×#124—31no—
196#2676—31no—
197#2676—31no—
198#2674—31no—
199#2674—31no—
200#2545—31no—
201#2540—31no—
202#2491—31no—
203#2491—31no—
204#2472—31no—
205#2472—31no—
206#2461—31no—
207#2461—31no—
208#2437—31no—
209#2437D311yescharacteristic, complemented
210#2436—31no—
211#2432—31no—
212#2427—31no—
213#2426—31no—
214#2424—31no—
215#2424—31no—
216#2409—31no—
217#2408—31no—
218#2367—31no—
219#2358—31no—
220#2358—31no—
221C4×C22⋊Q8—31no—
222C4×#121—31no—
223C25×C3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67—24no—
231C22×#67—24no—
232C22×#67—42no—
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C2×D3×Q8—24no—
247C2×D3×Q8—24no—
248C2×D3×Q8—42no—
249C2×#235—24no—
250C2×#235—24no—
251C2×#235—42no—
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6—24no—
264C22×Dic6—24no—
265C22×Dic6—42no—
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×C22⋊Q8—24no—
273C3×C22⋊Q8—24no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4—24no—
284C2×C3×C22⋊C4—24no—
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299#953—24no—
300#953—24no—
301C2×#217—24no—
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312#947—24no—
313#944—24no—
314#930—24no—
315#930—24no—
316#929—24no—
317C4×#67—24no—
318C4×#67—24no—
319C4×#67—24no—
320C2×(C2×D3)⋊C4—24no—
321C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×C4×Dic3—24no—
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384#897—24no—
385#896—24no—
386#896—24no—
387#896—24no—
388#896—24no—
389#896—42no—
390#895—24no—
391#893—24no—
392#893—24no—
393#888—24no—
394#888—24no—
395#887—24no—
396#887—24no—
397#885—24no—
398#885—24no—
399#885—24no—
400#885—24no—
401#885—24no—
402#885—24no—
403#885—24no—
404#885—24no—
405#885—24no—
406#885D418yescomplemented
407#884—24no—
408#884—24no—
409#884—24no—
410#884—24no—
411#884—42no—
412#883—24no—
413#882—24no—
414#882—24no—
415#67⋊C4—24no—
416#67⋊C4—24no—
417#67⋊C4—24no—
418D3×C22⋊C4—24no—
419#878—24no—
420#878D418yescomplemented
421C3×#95C2311yescharacteristic
422C3×#95C2311yescharacteristic
423C3×#95C2311yescharacteristic
424C3×#95C2311yescharacteristic
425C3×#95C2311yescharacteristic
426C3×#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C22×#41—31no—
446C23×Q8—31no—
447C23×Q8—31no—
448C23×D4—31no—
449D4×Q8—68no—
450#548—68no—
451#546—68no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×#124—31no—
456C2×#124—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#124—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#124—31no—
465C2×#124—31no—
466C2×#124—68no—
467C2×#123—31no—
468C2×#123—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8C2×D311yescharacteristic
478C2×C22⋊Q8C2×D311yescharacteristic, complemented
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#120—31no—
488C2×#120—31no—
489C2×#120—31no—
490C2×#120—31no—
491C2×C4×Q8—31no—
492C2×C4×Q8—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4—31no—
500C2×C4×D4—31no—
501C22×C22⋊C4—31no—
502C22×C22⋊C4—31no—
503C22×C22⋊C4—31no—
504C22×C22⋊C4—31no—
505C22×C22⋊C4C2×D311yescharacteristic
506C22×C22⋊C4C2×D311yescharacteristic
507C22×C42—31no—
508#399—31no—
509#399C2×D311yescharacteristic, complemented
510#397—31no—
511#397—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#396C2×D311yescharacteristic, complemented
517#396C2×D311yescharacteristic, complemented
518#395—31no—
519#395—31no—
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#393—31no—
531#393—31no—
532#393—31no—
533#393—31no—
534#393—31no—
535#393C2×D311yescharacteristic, complemented
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#391—31no—
541#391—31no—
542#391—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390—31no—
552#389—31no—
553#389—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388—31no—
564#388—31no—
565#388—31no—
566#387—31no—
567#387—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385C2×D311yescharacteristic
585#385C2×D311yescharacteristic
586#385C2×D311yescharacteristic, complemented
587#385C2×D311yescharacteristic, complemented
588#380—31no—
589#380—31no—
590#380C2×D311yescharacteristic
591#380C2×D311yescharacteristic, complemented
592#379—31no—
593#379C2×D311yescharacteristic
594C4×C4⋊C4—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C4×C22⋊C4—31no—
603C4×C22⋊C4—31no—
604C24×C3—22no—
605C24×C3—22no—
606C24×C3—22no—
607C24×C3—22no—
608C24×C3—41no—
609C24×C3—41no—
610C24×C3—41no—
611C24×C3C2411yescharacteristic
612C24×C3C2411yescharacteristic
613C24×C3C2411yescharacteristic
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C2×C3×Q8—22no—
626C2×C3×Q8—22no—
627C2×C3×Q8—41no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—416no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67C2×D414yes—
682C2×#67#4114yescomplemented
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3C2×D414yes—
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704D3×Q8—416no—
705#235—416no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×Dic6—22no—
740C2×Dic6—22no—
741C2×Dic6—22no—
742C2×Dic6—22no—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—22no—
751C2×Dic6—22no—
752C2×Dic6—416no—
753C2×Dic6—41no—
754C2×Dic6—41no—
755C2×Dic6—41no—
756C2×Dic6C2×D414yes—
757C2×Dic6C2×D414yes—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4—41no—
766C3×C4⋊C4—41no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4C2×D414yes—
780C3×C22⋊C4C2×D414yes—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217C2×D414yes—
790#217C2×D414yes—
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)⋊C4C2×D414yes—
822(C2×D3)⋊C4C2×D414yes—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3C2×D414yes—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4C2×D414yes—
839Dic3⋊C4C2×D414yes—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3C2×D414yes—
852C25—31no—
853C25C22×D311yescharacteristic
854C2×#41—64no—
855C2×#41—64no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8—31no—
859C22×Q8—31no—
860C22×Q8—31no—
861C22×Q8—31no—
862C22×Q8—31no—
863C22×Q8—64no—
864C22×Q8—64no—
865C22×Q8—64no—
866C22×Q8—64no—
867C22×Q8—122no—
868C22×Q8—122no—
869C22×Q8C22×D311yescharacteristic
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—31no—
884C22×D4—31no—
885C22×D4—64no—
886C22×D4—64no—
887C22×D4—122no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4C22×D311yescharacteristic
898C23×C4C22×D311yescharacteristic
899C23×C4C22×D311yescharacteristic
900C23×C4C22×D311yescharacteristic
901C4⋊Q8—64no—
902C4⋊Q8—64no—
903C4⋊Q8—64no—
904#124—38no—
905#124—64no—
906#124—64no—
907#124—64no—
908#124—64no—
909#124—64no—
910#124—64no—
911#124—64no—
912#124—64no—
913#124—64no—
914#124—64no—
915#123—64no—
916#123—64no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—38no—
920C22⋊Q8—64no—
921C22⋊Q8—64no—
922C22⋊Q8—64no—
923C22⋊Q8—64no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—122no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—122no—
935#120—64no—
936#120—64no—
937#120—64no—
938#120—64no—
939C4×Q8—64no—
940C4×Q8—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C4×D4—64no—
947C4×D4—64no—
948C4×D4—64no—
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⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C4⋊C4C22×D311yescharacteristic
971C2×C4⋊C4C22×D311yescharacteristic
972C2×C4⋊C4C22×D311yescharacteristic
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C22⋊C4—24no—
976C2×C22⋊C4—24no—
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—64no—
1020C2×C22⋊C4—64no—
1021C2×C22⋊C4—64no—
1022C2×C22⋊C4—64no—
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C42—31no—
1038C2×C42—31no—
1039C2×C42—31no—
1040C2×C42—31no—
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—31no—
1045C2×C42—31no—
1046C2×C42—31no—
1047C2×C42—31no—
1048C2×C42—31no—
1049C2×C42—64no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95C22×D311yescharacteristic
1069#95C22×D311yescharacteristic
1070#95C22×D311yescharacteristic
1071#95C22×D311yescharacteristic
1072#95C22×D311yescharacteristic
1073#95C22×D311yescharacteristic
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—44no—
1095C23×C3—82no—
1096C23×C3—82no—
1097C23×C3—82no—
1098C23×C3C22×D412yes—
1099C23×C3C22×D412yes—
1100C23×C3C2×#4112yes—
1101C23×C32−1+412yes—
1102C23×C3C2511yescharacteristic
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—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3C22×D412yes—
1137C22×D3C2×#4112yes—
1138C3×Q8—44no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
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—44no—
1172C2×C3×C4—44no—
1173C2×C3×C4—44no—
1174C2×C3×C4—82no—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C22×D412yes—
1179#67—28no—
1180#67—28no—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—44no—
1186#67—44no—
1187#67—82no—
1188#67—82no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—28no—
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—44no—
1218C2×Dic3—44no—
1219C2×Dic3C22×D412yes—
1220C2×Dic3C22×D412yes—
1221C2×Dic3C22×D412yes—
1222C2×Dic3C22×D412yes—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C22×D412yes—
1226C2×Dic3C2×#4112yes—
1227C2×Dic3H(5,𝔽2)12yes—
1228D12—44no—
1229D12—44no—
1230D12—44no—
1231D12—82no—
1232D12—82no—
1233C4×D3—44no—
1234C4×D3—44no—
1235C4×D3—44no—
1236C4×D3—44no—
1237C4×D3—44no—
1238C4×D3—82no—
1239Dic6—28no—
1240Dic6—28no—
1241Dic6—44no—
1242Dic6—44no—
1243Dic6—44no—
1244Dic6—44no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—31no—
1250C24—31no—
1251C24—31no—
1252C24—31no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—62no—
1257C24—62no—
1258C24—62no—
1259C24—62no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24C23×D311yescharacteristic
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266#41—1216no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—34no—
1270C2×Q8—34no—
1271C2×Q8—41no—
1272C2×Q8—62no—
1273C2×Q8—62no—
1274C2×Q8—62no—
1275C2×Q8—62no—
1276C2×Q8—62no—
1277C2×Q8—62no—
1278C2×Q8—62no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—62no—
1282C2×Q8—62no—
1283C2×Q8—62no—
1284C2×Q8—62no—
1285C2×Q8—121no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—1216no—
1289C2×Q8—1216no—
1290C2×D4—34no—
1291C2×D4—34no—
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—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—1216no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—31no—
1344C22×C4—34no—
1345C22×C4—31no—
1346C22×C4—31no—
1347C22×C4—31no—
1348C22×C4—31no—
1349C22×C4—31no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—31no—
1354C22×C4—31no—
1355C22×C4—31no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—62no—
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—121no—
1381C22×C4—121no—
1382C22×C4—121no—
1383C22×C4—121no—
1384C22×C4—121no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C22×C4C23×D311yescharacteristic
1390C22×C4C23×D311yescharacteristic
1391C22×C4C23×D311yescharacteristic
1392C22×C4C23×D311yescharacteristic
1393C22×C4C23×D311yescharacteristic
1394C22×C4C23×D311yescharacteristic
1395C22×C4C23×D311yescharacteristic
1396C22×C4C23×D311yescharacteristic
1397C22×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—34no—
1406C4⋊C4—34no—
1407C4⋊C4—34no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—121no—
1424C4⋊C4—121no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—34no—
1435C22⋊C4—34no—
1436C22⋊C4—34no—
1437C22⋊C4—34no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
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—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4D3×D414yes—
1480C22⋊C4D3×D414yes—
1481C42—34no—
1482C42—62no—
1483C42—62no—
1484C42—62no—
1485C42—62no—
1486C42—62no—
1487C42—62no—
1488C42—62no—
1489C42—62no—
1490C42—62no—
1491C42—121no—
1492C42—121no—
1493C22×C3—22no—
1494C22×C3—22no—
1495C22×C3—22no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—88no—
1514C22×C3#54814yescomplemented
1515C22×C3C23×D411yescharacteristic
1516C22×C3C23×D411yescharacteristic
1517C22×C3C22×#4111yescharacteristic
1518C22×C3C2×H(5,𝔽2)11yescharacteristic
1519C22×C3C2×2−1+411yescharacteristic
1520C22×C3#58511yescharacteristic
1521C22×C3#58511yescharacteristic
1522C2×D3—22no—
1523C2×D3—22no—
1524C2×D3—22no—
1525C2×D3—22no—
1526C2×D3—22no—
1527C2×D3—22no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—88no—
1551C3×C4—22no—
1552C3×C4—22no—
1553C3×C4—22no—
1554C3×C4—22no—
1555C3×C4—41no—
1556C3×C4—41no—
1557C3×C4—41no—
1558C3×C4—41no—
1559C3×C4—41no—
1560C3×C4—41no—
1561C3×C4—41no—
1562C3×C4—41no—
1563Dic3—22no—
1564Dic3—22no—
1565Dic3—22no—
1566Dic3—22no—
1567Dic3—22no—
1568Dic3—22no—
1569Dic3—41no—
1570Dic3—41no—
1571Dic3—41no—
1572Dic3—41no—
1573Dic3—41no—
1574Dic3D4214yes—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—32no—
1593C23—32no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—82no—
1625C23—82no—
1626C23—82no—
1627C23—124no—
1628C23—124no—
1629C23—124no—
1630C23—124no—
1631C23—242no—
1632C23—242no—
1633C23—242no—
1634C23C2×D3×D412yes—
1635C23C2×D3×D412yes—
1636C23#100712yes—
1637C23D3×#4112yes—
1638C23C24×D311yescharacteristic
1639Q8—44no—
1640Q8—68no—
1641Q8—68no—
1642Q8—124no—
1643Q8—124no—
1644Q8—124no—
1645Q8—124no—
1646D4—68no—
1647D4—68no—
1648D4—124no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—242no—
1658D4—242no—
1659D4—242no—
1660D4—242no—
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—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—32no—
1694C2×C4—32no—
1695C2×C4—32no—
1696C2×C4—32no—
1697C2×C4—32no—
1698C2×C4—32no—
1699C2×C4—32no—
1700C2×C4—32no—
1701C2×C4—32no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—68no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—82no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—124no—
1740C2×C4—124no—
1741C2×C4—242no—
1742C2×C4C2×D3×D412yes—
1743C2×C4C2×D3×D412yes—
1744C2×C4C2×D3×D412yes—
1745C2×C4C2×D3×D412yes—
1746C2×C3—24no—
1747C2×C3—42no—
1748C2×C3—81no—
1749C2×C3C2×D4211yescharacteristic
1750C2×C3C2×#54811yescharacteristic
1751C2×C3D4×#4111yescharacteristic
1752C2×C3#348911yescharacteristic
1753C2×C3#350011yescharacteristic
1754C2×C3#351411yescharacteristic
1755C2×C3#356111yescharacteristic
1756D3—42no—
1757D3—42no—
1758D3—81no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—62no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—88no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—248no—
1810C22#563314yescomplemented
1811C22C22×D3×D411yescharacteristic
1812C22C22×D3×D411yescharacteristic
1813C22C2×#100711yescharacteristic
1814C22C2×D3×#4111yescharacteristic
1815C22#596411yescharacteristic
1816C22D3×H(5,𝔽2)11yescharacteristic
1817C22#596611yescharacteristic
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—34no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—62no—
1832C4—62no—
1833C4—62no—
1834C4—62no—
1835C4—62no—
1836C4—62no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C3#5913011yescharacteristic, complemented, Sylow
1843C2—24no—
1844C2—42no—
1845C2—81no—
1846C2—122no—
1847C2—122no—
1848C2—241no—
1849C2—241no—
1850C2C2×#563311yescharacteristic
1851C2#8598511yescharacteristic
1852C2#8657611yescharacteristic
1853C2D3×D4211yescharacteristic
1854C2#8662611yescharacteristic
1855C2#8663211yescharacteristic
1856C2#8679711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2437C2
hypercenter#2437D3
hypocenterC3#59130
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#5633C2semidirect
2. C2×#5632C2semidirect
3. C2×#5490C2semidirect
4. C22×#885C2semidirect
5. C3×#2437C2semidirect
6. #82790C2semidirect
7. #82769C2semidirect
8. #82109C2semidirect
9. #82099C2semidirect
10. #78115C2semidirect
11. #78036C2semidirect
12. #77429C2semidirect
13. #77315C2semidirect
14. #77295C2semidirect
15. #77286C2semidirect
16. #76792C2semidirect
17. #76781C2semidirect
18. #74605C2semidirect
19. #74596C2semidirect
20. #74509C2semidirect
21. #74431C2semidirect
22. #74411C2semidirect
23. #74405C2semidirect
24. #74398C2semidirect
25. #74381C2semidirect
26. #73915C2semidirect
27. #73896C2semidirect
28. #73895C2semidirect
29. #73865C2semidirect
30. #73829C2semidirect
31. #73824C2semidirect
34. C22×D3×Q8C22semidirect
38. C2×C3×C22⋊Q8C22semidirect
44. C2×#947C22semidirect
45. C2×#944C22semidirect
51. C2×C4×#67C22semidirect
57. C2×#897C22semidirect
58. C2×#896C22semidirect
59. C2×#896C22semidirect
60. C2×#896C22semidirect
61. C2×#896C22semidirect
62. C2×#896C22semidirect
63. C2×#895C22semidirect
64. C2×#893C22semidirect
65. C2×#893C22semidirect
66. C2×#888C22semidirect
67. C2×#888C22semidirect
68. C2×#887C22semidirect
69. C2×#887C22semidirect
80. C2×#885C22semidirect
86. C2×#884C22semidirect
96. C3×#399C22semidirect
97. C3×#396C22semidirect
98. C3×#396C22semidirect
99. C3×#393C22semidirect
102. C3×#385C22semidirect
103. C3×#385C22semidirect
105. C3×#380C22semidirect
107. #5231C22semidirect
109. #5213C22semidirect
111. #5210C22semidirect
112. C4×#217C22semidirect
113. #4994C22semidirect
114. #4994C22semidirect
115. #4993C22semidirect
116. #4992C22semidirect
117. #4991C22semidirect
118. #4991C22semidirect
119. #4991C22semidirect
120. #4990C22semidirect
121. #4990C22semidirect
122. #4990C22semidirect
123. #4989C22semidirect
124. #4989C22semidirect
125. #4988C22semidirect
126. #4988C22semidirect
127. #4988C22semidirect
128. #4988C22semidirect
129. #4979C22semidirect
130. #4979C22semidirect
131. #4978C22semidirect
132. #4976C22semidirect
133. Dic3×C4⋊C4C22semidirect
134. Dic3×C4⋊C4C22semidirect
135. #4972C22semidirect
136. #4961C22semidirect
139. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4957C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
156. #4952C22semidirect
157. #4951C22semidirect
158. #4951C22semidirect
159. #4948C22semidirect
160. #4947C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
168. #4676C22semidirect
169. #4673C22semidirect
170. #4673C22semidirect
171. #4673C22semidirect
172. #4672C22semidirect
173. #4671C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
176. #4669C22semidirect
177. #4669C22semidirect
178. #4668C22semidirect
179. #4667C22semidirect
180. #4666C22semidirect
181. #4666C22semidirect
182. #4666C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4653C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
209. #2437D3semidirect
406. #885D4semidirect
420. #878D4semidirect
478. C2×C22⋊Q8C2×D3semidirect
509. #399C2×D3semidirect
516. #396C2×D3semidirect
517. #396C2×D3semidirect
535. #393C2×D3semidirect
586. #385C2×D3semidirect
587. #385C2×D3semidirect
591. #380C2×D3semidirect
682. C2×#67#41semidirect
1514. C22×C3#548semidirect
1810. C22#5633semidirect
1842. C3#59130semidirect

Maximal subgroups

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

subgroupindex
C2×#56332
C2×#56322
C2×#54902
C22×#8852
C3×#24372
#827902
#827692
#821092
#820992
#781152
#780362
#774292
#773152
#772952
#772862
#767922
#767812
#746052
#745962
#745092
#744312
#744112
#744052
#743982
#743812
#739152
#738962
#738952
#738652
#738292
#738242
#591303