Finite Group Databasebeta

← #11023988

Subgroups — #11023988

Order 768.

3666 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5612C211yesmaximal, characteristic, complemented
2C2×#5605C211yesmaximal, characteristic, complemented
3C2×D3×#121C211yesmaximal, characteristic, complemented
4C2×#5547C211yesmaximal, characteristic, complemented
5C3×#2428C211yesmaximal, characteristic, complemented
6#83190C211yesmaximal, characteristic, complemented
7#83175C211yesmaximal, characteristic, complemented
8#82719C211yesmaximal, characteristic, complemented
9#82718C211yesmaximal, characteristic, complemented
10#82702C211yesmaximal, characteristic, complemented
11#82659C211yesmaximal, characteristic, complemented
12#82650C211yesmaximal, characteristic, complemented
13#82411C211yesmaximal, characteristic, complemented
14#77139C211yesmaximal, characteristic, complemented
15#77128C211yesmaximal, characteristic, complemented
16#77124C211yesmaximal, characteristic, complemented
17#76895C211yesmaximal, characteristic, complemented
18#76770C211yesmaximal, characteristic, complemented
19#76760C211yesmaximal, characteristic, complemented
20#76753C211yesmaximal, characteristic, complemented
21#76714C211yesmaximal, characteristic, complemented
22#76442C211yesmaximal, characteristic, complemented
23#76437C211yesmaximal, characteristic, complemented
24#76259C211yesmaximal, characteristic, complemented
25#76196C211yesmaximal, characteristic, complemented
26#74936C211yesmaximal, characteristic, complemented
27#74899C211yesmaximal, characteristic, complemented
28#74894C211yesmaximal, characteristic, complemented
29#74886C211yesmaximal, characteristic, complemented
30#73591C211yesmaximal, characteristic, complemented
31#73574C211yesmaximal, characteristic, complemented
32#37652—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic, complemented
37C22×#235C2211yescharacteristic
38C23×C4×D3C2211yescharacteristic, complemented
39C2×C3×#127C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic, complemented
41C2×C3×#121C2211yescharacteristic, complemented
42C2×C3×#121C2211yescharacteristic, complemented
43C2×C3×#121C2211yescharacteristic, complemented
44C2×C3×C4×D4C2211yescharacteristic, complemented
45C2×#940C2211yescharacteristic, complemented
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic, complemented
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic, complemented
52C2×#938C2211yescharacteristic
53C2×#938C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic, complemented
55C2×#937C2211yescharacteristic
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic, complemented
59C2×#937C2211yescharacteristic, complemented
60C2×#937C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic, complemented
62C2×#937C2211yescharacteristic, complemented
63C2×#936C2211yescharacteristic, complemented
64C2×#930C2211yescharacteristic
65C2×#930C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic, complemented
67C2×C4×#67C2211yescharacteristic, complemented
68C2×C4×#67C2211yescharacteristic, complemented
69C22×(C2×D3)⋊C4C2211yescharacteristic
70#5612—28no—
71#5605—28no—
72D3×#121—28no—
73#5547—28no—
74C2×#897C2211yescharacteristic, complemented
75C2×#896C2211yescharacteristic, complemented
76C2×#895C2211yescharacteristic
77C2×#894C2211yescharacteristic
78C2×#894C2211yescharacteristic, complemented
79C2×#893C2211yescharacteristic
80C2×D3×C4⋊C4C2211yescharacteristic, complemented
81C2×#884C2211yescharacteristic
82C2×#884C2211yescharacteristic, complemented
83C2×#884C2211yescharacteristic, complemented
84C2×#884C2211yescharacteristic, complemented
85C2×#884C2211yescharacteristic, complemented
86C2×#883C2211yescharacteristic
87C2×#883C2211yescharacteristic
88C2×#883C2211yescharacteristic, complemented
89C2×#883C2211yescharacteristic, complemented
90C2×#883C2211yescharacteristic, complemented
91C2×#882C2211yescharacteristic
92C2×#882C2211yescharacteristic
93C2×#882C2211yescharacteristic, complemented
94C2×#882C2211yescharacteristic, complemented
95C2×D3×C22⋊C4C2211yescharacteristic
96C2×D3×C22⋊C4C2211yescharacteristic, complemented
97C2×D3×C22⋊C4C2211yescharacteristic, complemented
98C2×#878C2211yescharacteristic, complemented
99C2×C4×D12C2211yescharacteristic, complemented
100C2×#872C2211yescharacteristic, complemented
101C3×#394C2211yescharacteristic, complemented
102C3×#394C2211yescharacteristic, complemented
103C3×#392C2211yescharacteristic, complemented
104C3×#392C2211yescharacteristic, complemented
105C3×#390C2211yescharacteristic, complemented
106C3×#389C2211yescharacteristic, complemented
107C3×#386C2211yescharacteristic, complemented
108C3×#386C2211yescharacteristic, complemented
109C3×C4×C22⋊C4C2211yescharacteristic, complemented
110#5223C2211yescharacteristic, complemented
111#5223C2211yescharacteristic, complemented
112#5223C2211yescharacteristic, complemented
113#5223C2211yescharacteristic, complemented
114#5223C2211yescharacteristic, complemented
115#5223C2211yescharacteristic, complemented
116#5223C2211yescharacteristic, complemented
117#5223C2211yescharacteristic, complemented
118#5223C2211yescharacteristic, complemented
119#5223C2211yescharacteristic, complemented
120#5223C2211yescharacteristic, complemented
121#5222C2211yescharacteristic, complemented
122#5222C2211yescharacteristic, complemented
123#5222C2211yescharacteristic, complemented
124#5221C2211yescharacteristic, complemented
125#5220C2211yescharacteristic, complemented
126#5220C2211yescharacteristic, complemented
127#5213C2211yescharacteristic, complemented
128#5213C2211yescharacteristic, complemented
129#5210C2211yescharacteristic, complemented
130#5210C2211yescharacteristic, complemented
131#4994C2211yescharacteristic, complemented
132#4991C2211yescharacteristic, complemented
133#4991C2211yescharacteristic, complemented
134#4990C2211yescharacteristic, complemented
135#4989C2211yescharacteristic, complemented
136#4989C2211yescharacteristic, complemented
137#4981C2211yescharacteristic, complemented
138#4980C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4961C2211yescharacteristic, complemented
141#4961C2211yescharacteristic, complemented
142#4960C2211yescharacteristic, complemented
143#4960C2211yescharacteristic, complemented
144#4960C2211yescharacteristic, complemented
145#4960C2211yescharacteristic, complemented
146#4959C2211yescharacteristic, complemented
147#4959C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4956C2211yescharacteristic, complemented
156#4956C2211yescharacteristic, complemented
157#4955C2211yescharacteristic
158#4955C2211yescharacteristic, complemented
159#4955C2211yescharacteristic, complemented
160#4950C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4948C2211yescharacteristic, complemented
165#4948C2211yescharacteristic, complemented
166#4947C2211yescharacteristic, complemented
167#4946C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4940C2211yescharacteristic, complemented
172#4940C2211yescharacteristic, complemented
173#4940C2211yescharacteristic, complemented
174#4939C2211yescharacteristic, complemented
175C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4671C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4667C2211yescharacteristic, complemented
185#4665C2211yescharacteristic
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190#4661C2211yescharacteristic, complemented
191#4652C2211yescharacteristic, complemented
192C2×#546—31no—
193C2×#534—31no—
194C2×#525—31no—
195C22×#121—31no—
196#2849—31no—
197#2681—31no—
198#2681—31no—
199#2676—31no—
200#2676—31no—
201#2675—31no—
202#2675—31no—
203#2669—31no—
204#2669—31no—
205#2618—31no—
206#2613—31no—
207#2464—31no—
208#2464—31no—
209#2456—31no—
210#2456—31no—
211#2433—31no—
212#2428—31no—
213#2428D311yescharacteristic, complemented
214#2424—31no—
215#2424—31no—
216#2411—31no—
217#2410—31no—
218#2408—31no—
219#2404—31no—
220#2403—31no—
221#2342—31no—
222#2322—31no—
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C24×D3C2311yescharacteristic
226C24×D3C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C2×D3×D4—24no—
260C2×D3×D4—24no—
261C2×D3×D4—24no—
262C2×D3×D4—24no—
263C2×D3×D4—24no—
264C2×D3×D4—24no—
265C2×D3×D4—42no—
266C2×D3×D4—42no—
267C2×D3×D4—42no—
268C2×D3×D4—42no—
269C2×D3×D4—42no—
270C2×D3×D4—42no—
271C2×#235—24no—
272C2×#235—24no—
273C2×#235—42no—
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×D12C2311yescharacteristic
280C22×C4×D3—24no—
281C22×C4×D3—24no—
282C22×C4×D3—42no—
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×C4×D3C2311yescharacteristic
287C22×C4×D3C2311yescharacteristic
288C22×C4×D3C2311yescharacteristic
289C22×C4×D3C2311yescharacteristic
290C22×C4×D3C2311yescharacteristic
291C22×C4×D3C2311yescharacteristic
292C22×Dic6C2311yescharacteristic
293C3×#127—42no—
294C3×#121—24no—
295C3×#121—24no—
296C3×#121—24no—
297C3×#121—42no—
298C3×C4×D4—24no—
299C2×C3×C4⋊C4C2311yescharacteristic
300C2×C3×C4⋊C4C2311yescharacteristic
301C2×C3×C4⋊C4C2311yescharacteristic
302C2×C3×C4⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C22⋊C4C2311yescharacteristic
314C2×C3×C22⋊C4C2311yescharacteristic
315C2×C3×C42C2311yescharacteristic
316C2×C3×C42C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334#940—42no—
335#939—24no—
336#939—24no—
337#939—24no—
338#939—24no—
339#939—24no—
340#939—42no—
341#938—24no—
342#938—24no—
343#938—24no—
344#937—24no—
345#937—24no—
346#937—24no—
347#937—24no—
348#937—24no—
349#937—42no—
350#937—42no—
351#937—42no—
352#936—24no—
353#930—24no—
354#930—24no—
355C4×#67—24no—
356C4×#67—24no—
357C4×#67—24no—
358C2×(C2×D3)⋊C4—24no—
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×(C2×D3)⋊C4C2311yescharacteristic
377C2×(C2×D3)⋊C4C2311yescharacteristic
378C2×(C2×D3)⋊C4C2311yescharacteristic
379C2×(C2×D3)⋊C4C2311yescharacteristic
380C2×(C2×D3)⋊C4C2311yescharacteristic
381C2×(C2×D3)⋊C4C2311yescharacteristic
382C2×(C2×D3)⋊C4C2311yescharacteristic
383C2×(C2×D3)⋊C4C2311yescharacteristic
384C2×(C2×D3)⋊C4C2311yescharacteristic
385C2×(C2×D3)⋊C4C2311yescharacteristic
386C2×(C2×D3)⋊C4C2311yescharacteristic
387C2×(C2×D3)⋊C4C2311yescharacteristic
388C2×C4⋊Dic3C2311yescharacteristic
389C2×C4⋊Dic3C2311yescharacteristic
390C2×C4⋊Dic3C2311yescharacteristic
391C2×C4⋊Dic3C2311yescharacteristic
392C2×C4⋊Dic3C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×Dic3⋊C4C2311yescharacteristic
397C2×Dic3⋊C4C2311yescharacteristic
398C2×Dic3⋊C4C2311yescharacteristic
399C2×Dic3⋊C4C2311yescharacteristic
400C2×Dic3⋊C4C2311yescharacteristic
401C2×Dic3⋊C4C2311yescharacteristic
402C2×Dic3⋊C4C2311yescharacteristic
403C2×Dic3⋊C4C2311yescharacteristic
404C2×C4×Dic3C2311yescharacteristic
405C2×C4×Dic3C2311yescharacteristic
406C2×C4×Dic3C2311yescharacteristic
407#897—24no—
408#896—24no—
409#895—24no—
410#894—24no—
411#894D418yescomplemented
412#893—24no—
413D3×C4⋊C4—24no—
414#884—24no—
415#884—24no—
416#884—24no—
417#884—42no—
418#884—42no—
419#883—24no—
420#883—24no—
421#883—24no—
422#883—24no—
423#883—24no—
424#882—24no—
425#882—24no—
426#882—24no—
427#882—42no—
428D3×C22⋊C4—24no—
429D3×C22⋊C4—24no—
430D3×C22⋊C4D418yescomplemented
431#878—24no—
432C4×D12—24no—
433#872—24no—
434C3×#95C2311yescharacteristic
435C3×#95C2311yescharacteristic
436C3×#95C2311yescharacteristic
437C3×#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C3⋊#95C2311yescharacteristic
446C3⋊#95C2311yescharacteristic
447C3⋊#95C2311yescharacteristic
448C3⋊#95C2311yescharacteristic
449C3⋊#95C2311yescharacteristic
450C3⋊#95C2311yescharacteristic
451C3⋊#95C2311yescharacteristic
452C3⋊#95C2311yescharacteristic
453C3⋊#95C2311yescharacteristic
454C22×#41—31no—
455C23×D4—31no—
456C23×D4—31no—
457C23×D4—31no—
458C23×D4—31no—
459C24×C4—31no—
460#546—68no—
461#534—68no—
462C2×#127—31no—
463C2×#127C2×D311yescharacteristic, complemented
464C2×#124—31no—
465#525—68no—
466C2×#123—31no—
467C2×#123—31no—
468C2×#123—31no—
469C2×#123—31no—
470C2×#123—31no—
471C2×#123—31no—
472C2×#123—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
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×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×#121—68no—
494C2×#121C2×D311yescharacteristic, complemented
495C2×#121C2×D311yescharacteristic, complemented
496C2×#121C2×D311yescharacteristic, complemented
497C2×#121C2×D311yescharacteristic, complemented
498C2×#120—31no—
499C2×#120—31no—
500C2×#120—31no—
501C2×#120—31no—
502C2×#120—31no—
503C2×#120—31no—
504C2×#120—31no—
505C2×#120—31no—
506C2×#120—31no—
507C2×#120—31no—
508C2×#120—31no—
509C2×#120—31no—
510C2×C4×D4—31no—
511C2×C4×D4—31no—
512C2×C4×D4—31no—
513C2×C4×D4—31no—
514C2×C4×D4—31no—
515C2×C4×D4C2×D311yescharacteristic, complemented
516C2×#117—31no—
517C22×C4⋊C4—31no—
518C22×C22⋊C4—31no—
519C22×C22⋊C4—31no—
520C22×C22⋊C4—31no—
521C22×C22⋊C4—31no—
522#398—31no—
523#398—31no—
524#396—31no—
525#396—31no—
526#396—31no—
527#396—31no—
528#396—31no—
529#396—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394—31no—
535#394—31no—
536#394—31no—
537#394—31no—
538#394—31no—
539#394—31no—
540#394C2×D311yescharacteristic, complemented
541#394C2×D311yescharacteristic, complemented
542#393—31no—
543#393—31no—
544#392—31no—
545#392—31no—
546#392—31no—
547#392—31no—
548#392—31no—
549#392—31no—
550#392—31no—
551#392—31no—
552#392—31no—
553#392—31no—
554#392—31no—
555#392—31no—
556#392—31no—
557#392—31no—
558#392—31no—
559#392—31no—
560#392C2×D311yescharacteristic, complemented
561#392C2×D311yescharacteristic, complemented
562#390—31no—
563#390—31no—
564#390—31no—
565#390—31no—
566#390—31no—
567#390C2×D311yescharacteristic, complemented
568#389—31no—
569#389C2×D311yescharacteristic, complemented
570#388—31no—
571#388—31no—
572#388—31no—
573#388—31no—
574#388—31no—
575#388—31no—
576#388—31no—
577#388—31no—
578#387—31no—
579#387—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386—31no—
584#386—31no—
585#386—31no—
586#386—31no—
587#386—31no—
588#386—31no—
589#386—31no—
590#386—31no—
591#386—31no—
592#386—31no—
593#386C2×D311yescharacteristic, complemented
594#386C2×D311yescharacteristic, complemented
595#385—31no—
596#385—31no—
597#385—31no—
598#385—31no—
599#385—31no—
600#385—31no—
601#385—31no—
602#385—31no—
603#385—31no—
604#381—31no—
605#381—31no—
606#380—31no—
607#379—31no—
608#379—31no—
609#379—31no—
610C4×C22⋊C4—31no—
611C4×C22⋊C4—31no—
612C4×C22⋊C4C2×D311yescharacteristic, complemented
613C24×C3C2411yescharacteristic
614C24×C3C2411yescharacteristic
615C24×C3C2411yescharacteristic
616C24×C3C2411yescharacteristic
617C24×C3C2411yescharacteristic
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—22no—
623C23×D3—22no—
624C23×D3—22no—
625C23×D3—22no—
626C23×D3—22no—
627C23×D3—22no—
628C23×D3—22no—
629C23×D3—22no—
630C23×D3—41no—
631C23×D3—41no—
632C23×D3—41no—
633C23×D3—41no—
634C23×D3—41no—
635C23×D3—41no—
636C23×D3—41no—
637C23×D3—41no—
638C23×D3—41no—
639C23×D3—41no—
640C23×D3—41no—
641C23×D3—41no—
642C23×D3—41no—
643C23×D3—41no—
644C23×D3—41no—
645C23×D3C2×D414yes—
646C23×D3C2411yescharacteristic
647C23×D3C2411yescharacteristic
648C23×D3C2411yescharacteristic
649C23×D3C2411yescharacteristic
650C23×D3C2411yescharacteristic
651C2×C3×D4—22no—
652C2×C3×D4—22no—
653C2×C3×D4—22no—
654C2×C3×D4—22no—
655C2×C3×D4—22no—
656C2×C3×D4—22no—
657C2×C3×D4—22no—
658C2×C3×D4—22no—
659C2×C3×D4—22no—
660C2×C3×D4—22no—
661C2×C3×D4—22no—
662C2×C3×D4—22no—
663C2×C3×D4—22no—
664C2×C3×D4—22no—
665C2×C3×D4—41no—
666C2×C3×D4—41no—
667C2×C3×D4—41no—
668C2×C3×D4—41no—
669C2×C3×D4—41no—
670C2×C3×D4—41no—
671C2×C3×D4—41no—
672C2×C3×D4—41no—
673C2×C3×D4—41no—
674C2×C3×D4—41no—
675C2×C3×D4—41no—
676C2×C3×D4—41no—
677C2×C3×D4—41no—
678C2×C3×D4—41no—
679C2×C3×D4—41no—
680C2×C3×D4—41no—
681C22×C3×C4—22no—
682C22×C3×C4—22no—
683C22×C3×C4—22no—
684C22×C3×C4—22no—
685C22×C3×C4—22no—
686C22×C3×C4—41no—
687C22×C3×C4—41no—
688C22×C3×C4—41no—
689C22×C3×C4—41no—
690C22×C3×C4C2411yescharacteristic
691C22×C3×C4C2411yescharacteristic
692C22×C3×C4C2411yescharacteristic
693C22×C3×C4C2411yescharacteristic
694C22×C3×C4C2411yescharacteristic
695C22×C3×C4C2411yescharacteristic
696C22×C3×C4C2411yescharacteristic
697C22×C3×C4C2411yescharacteristic
698C22×C3×C4C2411yescharacteristic
699C22×C3×C4C2411yescharacteristic
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
708C2×#67—22no—
709C2×#67—22no—
710C2×#67—22no—
711C2×#67—22no—
712C2×#67—22no—
713C2×#67—22no—
714C2×#67—22no—
715C2×#67—22no—
716C2×#67—22no—
717C2×#67—22no—
718C2×#67—22no—
719C2×#67—22no—
720C2×#67—22no—
721C2×#67—22no—
722C2×#67—22no—
723C2×#67—22no—
724C2×#67—22no—
725C2×#67—22no—
726C2×#67—22no—
727C2×#67—22no—
728C2×#67—22no—
729C2×#67—22no—
730C2×#67—41no—
731C2×#67—41no—
732C2×#67—41no—
733C2×#67—41no—
734C2×#67—41no—
735C2×#67—41no—
736C2×#67—41no—
737C2×#67—41no—
738C2×#67—41no—
739C2×#67—41no—
740C2×#67—41no—
741C2×#67—41no—
742C2×#67—41no—
743C2×#67—41no—
744C2×#67—41no—
745C2×#67—41no—
746C2×#67—41no—
747C2×#67—41no—
748C2×#67—41no—
749C2×#67—41no—
750C2×#67—41no—
751C22×Dic3—22no—
752C22×Dic3—22no—
753C22×Dic3—22no—
754C22×Dic3—41no—
755C22×Dic3—41no—
756C22×Dic3—41no—
757C22×Dic3C2411yescharacteristic
758C22×Dic3C2411yescharacteristic
759C22×Dic3C2411yescharacteristic
760C22×Dic3C2411yescharacteristic
761C22×Dic3C2411yescharacteristic
762C22×Dic3C2411yescharacteristic
763C22×Dic3C2411yescharacteristic
764C22×Dic3C2411yescharacteristic
765C22×Dic3C2411yescharacteristic
766C22×Dic3C2411yescharacteristic
767C22×Dic3C2411yescharacteristic
768D3×D4—416no—
769D3×D4—416no—
770D3×D4—416no—
771D3×D4—416no—
772#235—416no—
773C2×D12—22no—
774C2×D12—22no—
775C2×D12—22no—
776C2×D12—22no—
777C2×D12—22no—
778C2×D12—22no—
779C2×D12—22no—
780C2×D12—22no—
781C2×D12—22no—
782C2×D12—22no—
783C2×D12—22no—
784C2×D12—41no—
785C2×D12—41no—
786C2×D12—41no—
787C2×D12—41no—
788C2×D12—41no—
789C2×D12—41no—
790C2×D12C2×D414yes—
791C2×C4×D3—22no—
792C2×C4×D3—22no—
793C2×C4×D3—22no—
794C2×C4×D3—22no—
795C2×C4×D3—22no—
796C2×C4×D3—22no—
797C2×C4×D3—22no—
798C2×C4×D3—22no—
799C2×C4×D3—22no—
800C2×C4×D3—22no—
801C2×C4×D3—22no—
802C2×C4×D3—22no—
803C2×C4×D3—22no—
804C2×C4×D3—22no—
805C2×C4×D3—416no—
806C2×C4×D3—41no—
807C2×C4×D3—41no—
808C2×C4×D3—41no—
809C2×C4×D3—41no—
810C2×C4×D3—41no—
811C2×C4×D3—41no—
812C2×C4×D3—41no—
813C2×C4×D3—41no—
814C2×C4×D3—41no—
815C2×C4×D3—41no—
816C2×C4×D3C2×D414yes—
817C2×C4×D3C2×D414yes—
818C2×C4×D3C2×D414yes—
819C2×Dic6—22no—
820C2×Dic6—22no—
821C2×Dic6—41no—
822C3×C4⋊C4—22no—
823C3×C4⋊C4—22no—
824C3×C4⋊C4—41no—
825C3×C4⋊C4C2×D414yescomplemented
826C3×C22⋊C4—22no—
827C3×C22⋊C4—22no—
828C3×C22⋊C4—22no—
829C3×C22⋊C4—22no—
830C3×C22⋊C4—22no—
831C3×C22⋊C4—22no—
832C3×C22⋊C4—22no—
833C3×C22⋊C4—41no—
834C3×C22⋊C4—41no—
835C3×C22⋊C4—41no—
836C3×C22⋊C4—41no—
837C3×C22⋊C4C2×D414yes—
838C3×C42—22no—
839C3×C42—41no—
840#217—22no—
841#217—22no—
842#217—22no—
843#217—22no—
844#217—22no—
845#217—22no—
846#217—22no—
847#217—22no—
848#217—22no—
849#217—41no—
850#217—41no—
851#217—41no—
852#217—41no—
853#217—41no—
854#217—41no—
855#217—41no—
856#217C2×D414yes—
857(C2×D3)⋊C4—22no—
858(C2×D3)⋊C4—22no—
859(C2×D3)⋊C4—22no—
860(C2×D3)⋊C4—22no—
861(C2×D3)⋊C4—22no—
862(C2×D3)⋊C4—22no—
863(C2×D3)⋊C4—22no—
864(C2×D3)⋊C4—22no—
865(C2×D3)⋊C4—22no—
866(C2×D3)⋊C4—22no—
867(C2×D3)⋊C4—22no—
868(C2×D3)⋊C4—22no—
869(C2×D3)⋊C4—22no—
870(C2×D3)⋊C4—22no—
871(C2×D3)⋊C4—22no—
872(C2×D3)⋊C4—41no—
873(C2×D3)⋊C4—41no—
874(C2×D3)⋊C4—41no—
875(C2×D3)⋊C4—41no—
876(C2×D3)⋊C4—41no—
877(C2×D3)⋊C4—41no—
878(C2×D3)⋊C4—41no—
879(C2×D3)⋊C4—41no—
880(C2×D3)⋊C4—41no—
881(C2×D3)⋊C4C2×D414yes—
882(C2×D3)⋊C4C2×D414yes—
883(C2×D3)⋊C4C2×D414yes—
884(C2×D3)⋊C4C2×D414yescomplemented
885(C2×D3)⋊C4C2×D414yescomplemented
886C4⋊Dic3—22no—
887C4⋊Dic3—22no—
888C4⋊Dic3—22no—
889C4⋊Dic3—22no—
890C4⋊Dic3—22no—
891Dic3⋊C4—22no—
892Dic3⋊C4—22no—
893Dic3⋊C4—22no—
894Dic3⋊C4—22no—
895Dic3⋊C4—22no—
896Dic3⋊C4—22no—
897Dic3⋊C4—22no—
898Dic3⋊C4—41no—
899Dic3⋊C4—41no—
900Dic3⋊C4—41no—
901Dic3⋊C4C2×D414yescomplemented
902C4×Dic3—22no—
903C4×Dic3—22no—
904C4×Dic3—41no—
905C25—31no—
906C25—31no—
907C25—31no—
908C25—31no—
909C2×#41—64no—
910C2×#41—64no—
911C2×#41—122no—
912C22×Q8—31no—
913C22×D4—31no—
914C22×D4—31no—
915C22×D4—31no—
916C22×D4—31no—
917C22×D4—31no—
918C22×D4—31no—
919C22×D4—31no—
920C22×D4—31no—
921C22×D4—31no—
922C22×D4—31no—
923C22×D4—31no—
924C22×D4—31no—
925C22×D4—31no—
926C22×D4—31no—
927C22×D4—31no—
928C22×D4—31no—
929C22×D4—31no—
930C22×D4—31no—
931C22×D4—31no—
932C22×D4—31no—
933C22×D4—31no—
934C22×D4—31no—
935C22×D4—31no—
936C22×D4—64no—
937C22×D4—64no—
938C22×D4—64no—
939C22×D4—64no—
940C22×D4—64no—
941C22×D4—64no—
942C22×D4—122no—
943C22×D4—122no—
944C22×D4—122no—
945C22×D4—122no—
946C22×D4—122no—
947C22×D4—122no—
948C22×D4C22×D311yescharacteristic
949C22×D4C22×D311yescharacteristic
950C22×D4C22×D311yescharacteristic
951C22×D4C22×D311yescharacteristic
952C22×D4C22×D311yescharacteristic
953C22×D4C22×D311yescharacteristic
954C22×D4C22×D311yescharacteristic
955C22×D4C22×D311yescharacteristic
956C22×D4C22×D311yescharacteristic
957C22×D4C22×D311yescharacteristic
958C23×C4—31no—
959C23×C4—31no—
960C23×C4—31no—
961C23×C4—31no—
962C23×C4—31no—
963C23×C4—31no—
964C23×C4—31no—
965C23×C4—31no—
966C23×C4—31no—
967C23×C4—31no—
968C23×C4—31no—
969C23×C4—64no—
970C23×C4—64no—
971C23×C4—122no—
972C23×C4C22×D311yescharacteristic
973C23×C4C22×D311yescharacteristic
974C23×C4C22×D311yescharacteristic
975#127—42no—
976#127—122no—
977#124—64no—
978#123—38no—
979#123—64no—
980#123—64no—
981#123—64no—
982#123—64no—
983#123—64no—
984#123—64no—
985C22⋊Q8—64no—
986C22⋊Q8—64no—
987C22⋊Q8—64no—
988#121—24no—
989#121—24no—
990#121—24no—
991#121—42no—
992#121—64no—
993#121—64no—
994#121—64no—
995#121—64no—
996#121—64no—
997#121—64no—
998#121—64no—
999#121—64no—
1000#121—64no—
1001#121—64no—
1002#121—64no—
1003#121—64no—
1004#121—64no—
1005#121—64no—
1006#121—122no—
1007#121—122no—
1008#121—122no—
1009#120—64no—
1010#120—64no—
1011#120—64no—
1012#120—64no—
1013#120—64no—
1014#120—64no—
1015#120—64no—
1016#120—64no—
1017#120—122no—
1018#120—122no—
1019#120—122no—
1020#120—122no—
1021C4×D4—24no—
1022C4×D4—64no—
1023C4×D4—64no—
1024C4×D4—64no—
1025C4×D4—64no—
1026C4×D4—64no—
1027#117—64no—
1028C2×C4⋊C4—31no—
1029C2×C4⋊C4—31no—
1030C2×C4⋊C4—31no—
1031C2×C4⋊C4—31no—
1032C2×C4⋊C4—31no—
1033C2×C4⋊C4—31no—
1034C2×C4⋊C4—31no—
1035C2×C4⋊C4—31no—
1036C2×C4⋊C4—31no—
1037C2×C4⋊C4—31no—
1038C2×C4⋊C4—31no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—31no—
1041C2×C4⋊C4—31no—
1042C2×C4⋊C4—31no—
1043C2×C4⋊C4—31no—
1044C2×C4⋊C4—64no—
1045C2×C4⋊C4C22×D311yescharacteristic
1046C2×C4⋊C4C22×D311yescharacteristic
1047C2×C4⋊C4C22×D311yescharacteristic
1048C2×C4⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4—31no—
1050C2×C22⋊C4—31no—
1051C2×C22⋊C4—31no—
1052C2×C22⋊C4—31no—
1053C2×C22⋊C4—31no—
1054C2×C22⋊C4—31no—
1055C2×C22⋊C4—38no—
1056C2×C22⋊C4—31no—
1057C2×C22⋊C4—31no—
1058C2×C22⋊C4—31no—
1059C2×C22⋊C4—31no—
1060C2×C22⋊C4—31no—
1061C2×C22⋊C4—31no—
1062C2×C22⋊C4—31no—
1063C2×C22⋊C4—31no—
1064C2×C22⋊C4—31no—
1065C2×C22⋊C4—31no—
1066C2×C22⋊C4—31no—
1067C2×C22⋊C4—31no—
1068C2×C22⋊C4—31no—
1069C2×C22⋊C4—31no—
1070C2×C22⋊C4—31no—
1071C2×C22⋊C4—31no—
1072C2×C22⋊C4—31no—
1073C2×C22⋊C4—31no—
1074C2×C22⋊C4—31no—
1075C2×C22⋊C4—31no—
1076C2×C22⋊C4—31no—
1077C2×C22⋊C4—31no—
1078C2×C22⋊C4—31no—
1079C2×C22⋊C4—31no—
1080C2×C22⋊C4—31no—
1081C2×C22⋊C4—31no—
1082C2×C22⋊C4—31no—
1083C2×C22⋊C4—31no—
1084C2×C22⋊C4—31no—
1085C2×C22⋊C4—31no—
1086C2×C22⋊C4—31no—
1087C2×C22⋊C4—31no—
1088C2×C22⋊C4—31no—
1089C2×C22⋊C4—31no—
1090C2×C22⋊C4—31no—
1091C2×C22⋊C4—31no—
1092C2×C22⋊C4—31no—
1093C2×C22⋊C4—31no—
1094C2×C22⋊C4—31no—
1095C2×C22⋊C4—31no—
1096C2×C22⋊C4—64no—
1097C2×C22⋊C4—64no—
1098C2×C22⋊C4—64no—
1099C2×C22⋊C4C22×D311yescharacteristic
1100C2×C22⋊C4C22×D311yescharacteristic
1101C2×C22⋊C4C22×D311yescharacteristic
1102C2×C22⋊C4C22×D311yescharacteristic
1103C2×C22⋊C4C22×D311yescharacteristic
1104C2×C22⋊C4C22×D311yescharacteristic
1105C2×C22⋊C4C22×D311yescharacteristic
1106C2×C22⋊C4C22×D311yescharacteristic
1107C2×C22⋊C4C22×D311yescharacteristic
1108C2×C22⋊C4C22×D311yescharacteristic
1109C2×C22⋊C4C22×D311yescharacteristic
1110C2×C22⋊C4C22×D311yescharacteristic
1111C2×C42—31no—
1112C2×C42—31no—
1113C2×C42—31no—
1114C2×C42C22×D311yescharacteristic
1115C2×C42C22×D311yescharacteristic
1116#95—31no—
1117#95—31no—
1118#95—31no—
1119#95—31no—
1120#95—31no—
1121#95—31no—
1122#95—31no—
1123#95—31no—
1124#95—31no—
1125#95—31no—
1126#95—31no—
1127#95—31no—
1128#95—31no—
1129#95—31no—
1130#95—31no—
1131#95—31no—
1132#95C22×D311yescharacteristic
1133#95C22×D311yescharacteristic
1134#95C22×D311yescharacteristic
1135#95C22×D311yescharacteristic
1136C23×C3—21no—
1137C23×C3—21no—
1138C23×C3—21no—
1139C23×C3—21no—
1140C23×C3—21no—
1141C23×C3—21no—
1142C23×C3—21no—
1143C23×C3—21no—
1144C23×C3—21no—
1145C23×C3—21no—
1146C23×C3—21no—
1147C23×C3—21no—
1148C23×C3—21no—
1149C23×C3—21no—
1150C23×C3—21no—
1151C23×C3—21no—
1152C23×C3—21no—
1153C23×C3—21no—
1154C23×C3—21no—
1155C23×C3—21no—
1156C23×C3—21no—
1157C23×C3—21no—
1158C23×C3—21no—
1159C23×C3—21no—
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3—21no—
1163C23×C3—21no—
1164C23×C3—21no—
1165C23×C3—21no—
1166C23×C3—21no—
1167C23×C3—21no—
1168C23×C3—21no—
1169C23×C3C22×D412yes—
1170C23×C3H(5,𝔽2)12yes—
1171C23×C3C2511yescharacteristic
1172C22×D3—21no—
1173C22×D3—21no—
1174C22×D3—21no—
1175C22×D3—21no—
1176C22×D3—28no—
1177C22×D3—21no—
1178C22×D3—21no—
1179C22×D3—21no—
1180C22×D3—21no—
1181C22×D3—21no—
1182C22×D3—21no—
1183C22×D3—21no—
1184C22×D3—21no—
1185C22×D3—21no—
1186C22×D3—21no—
1187C22×D3—21no—
1188C22×D3—21no—
1189C22×D3—21no—
1190C22×D3—21no—
1191C22×D3—21no—
1192C22×D3—21no—
1193C22×D3—21no—
1194C22×D3—21no—
1195C22×D3—28no—
1196C22×D3—21no—
1197C22×D3—21no—
1198C22×D3—21no—
1199C22×D3—21no—
1200C22×D3—21no—
1201C22×D3—21no—
1202C22×D3—21no—
1203C22×D3—44no—
1204C22×D3—44no—
1205C22×D3—44no—
1206C22×D3—44no—
1207C22×D3—44no—
1208C22×D3—44no—
1209C22×D3—44no—
1210C22×D3—44no—
1211C22×D3—44no—
1212C22×D3—44no—
1213C22×D3—44no—
1214C22×D3—44no—
1215C22×D3—44no—
1216C22×D3—82no—
1217C22×D3—82no—
1218C22×D3—82no—
1219C22×D3—82no—
1220C22×D3—82no—
1221C22×D3—82no—
1222C22×D3—82no—
1223C22×D3—82no—
1224C22×D3—82no—
1225C22×D3—82no—
1226C22×D3—82no—
1227C22×D3—82no—
1228C22×D3—82no—
1229C22×D3C22×D412yes—
1230C22×D3C22×D412yes—
1231C22×D3C22×D412yes—
1232C22×D3C22×D412yes—
1233C22×D3H(5,𝔽2)12yes—
1234C22×D3H(5,𝔽2)12yes—
1235C3×D4—44no—
1236C3×D4—44no—
1237C3×D4—44no—
1238C3×D4—44no—
1239C3×D4—44no—
1240C3×D4—82no—
1241C3×D4—82no—
1242C3×D4—82no—
1243C3×D4—82no—
1244C3×D4—82no—
1245C2×C3×C4—21no—
1246C2×C3×C4—21no—
1247C2×C3×C4—21no—
1248C2×C3×C4—21no—
1249C2×C3×C4—21no—
1250C2×C3×C4—21no—
1251C2×C3×C4—21no—
1252C2×C3×C4—21no—
1253C2×C3×C4—21no—
1254C2×C3×C4—21no—
1255C2×C3×C4—21no—
1256C2×C3×C4—21no—
1257C2×C3×C4—21no—
1258C2×C3×C4—21no—
1259C2×C3×C4—21no—
1260C2×C3×C4—21no—
1261C2×C3×C4—21no—
1262C2×C3×C4—21no—
1263C2×C3×C4—21no—
1264C2×C3×C4—21no—
1265C2×C3×C4—21no—
1266C2×C3×C4—21no—
1267C2×C3×C4—21no—
1268C2×C3×C4—21no—
1269C2×C3×C4—21no—
1270C2×C3×C4—44no—
1271C2×C3×C4—44no—
1272C2×C3×C4—82no—
1273C2×C3×C4C22×D412yes—
1274C2×C3×C4C22×D412yes—
1275C2×C3×C4C22×D412yes—
1276C2×C3×C4C22×D412yes—
1277C2×C3×C4C22×D412yes—
1278#67—44no—
1279#67—44no—
1280#67—44no—
1281#67—44no—
1282#67—44no—
1283#67—44no—
1284#67—44no—
1285#67—44no—
1286#67—44no—
1287#67—44no—
1288#67—44no—
1289#67—44no—
1290#67—44no—
1291#67—82no—
1292#67—82no—
1293#67—82no—
1294#67—82no—
1295C2×Dic3—21no—
1296C2×Dic3—21no—
1297C2×Dic3—21no—
1298C2×Dic3—21no—
1299C2×Dic3—21no—
1300C2×Dic3—21no—
1301C2×Dic3—21no—
1302C2×Dic3—21no—
1303C2×Dic3—21no—
1304C2×Dic3—21no—
1305C2×Dic3—21no—
1306C2×Dic3—21no—
1307C2×Dic3—21no—
1308C2×Dic3—21no—
1309C2×Dic3—21no—
1310C2×Dic3—21no—
1311C2×Dic3—21no—
1312C2×Dic3—21no—
1313C2×Dic3—21no—
1314C2×Dic3—21no—
1315C2×Dic3—21no—
1316C2×Dic3—21no—
1317C2×Dic3—21no—
1318C2×Dic3—21no—
1319C2×Dic3—21no—
1320C2×Dic3—21no—
1321C2×Dic3—21no—
1322C2×Dic3—21no—
1323C2×Dic3—21no—
1324C2×Dic3—44no—
1325C2×Dic3—82no—
1326C2×Dic3C22×D412yes—
1327C2×Dic3C22×D412yes—
1328C2×Dic3C22×D412yes—
1329C2×Dic3C22×D412yes—
1330D12—28no—
1331D12—44no—
1332D12—44no—
1333D12—44no—
1334D12—44no—
1335D12—82no—
1336C4×D3—28no—
1337C4×D3—28no—
1338C4×D3—44no—
1339C4×D3—44no—
1340C4×D3—44no—
1341C4×D3—44no—
1342C4×D3—44no—
1343C4×D3—44no—
1344C4×D3—82no—
1345Dic6—44no—
1346C24—31no—
1347C24—31no—
1348C24—31no—
1349C24—31no—
1350C24—34no—
1351C24—31no—
1352C24—62no—
1353C24—62no—
1354C24—62no—
1355C24—62no—
1356C24—62no—
1357C24—62no—
1358C24—62no—
1359C24—62no—
1360C24—62no—
1361C24—62no—
1362C24—62no—
1363C24—62no—
1364C24—121no—
1365C24—121no—
1366C24—121no—
1367C24—121no—
1368C24—121no—
1369C24—121no—
1370C24—121no—
1371C24—121no—
1372C24—121no—
1373C24—121no—
1374C24—121no—
1375C24—121no—
1376C24—121no—
1377C24—121no—
1378C24—121no—
1379C24C23×D311yescharacteristic
1380C24C23×D311yescharacteristic
1381C24C23×D311yescharacteristic
1382C24C23×D311yescharacteristic
1383C24C23×D311yescharacteristic
1384#41—1216no—
1385C2×Q8—62no—
1386C2×Q8—62no—
1387C2×Q8—121no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—34no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—62no—
1420C2×D4—62no—
1421C2×D4—62no—
1422C2×D4—62no—
1423C2×D4—62no—
1424C2×D4—62no—
1425C2×D4—62no—
1426C2×D4—62no—
1427C2×D4—62no—
1428C2×D4—62no—
1429C2×D4—62no—
1430C2×D4—62no—
1431C2×D4—62no—
1432C2×D4—62no—
1433C2×D4—62no—
1434C2×D4—62no—
1435C2×D4—62no—
1436C2×D4—62no—
1437C2×D4—62no—
1438C2×D4—62no—
1439C2×D4—62no—
1440C2×D4—62no—
1441C2×D4—62no—
1442C2×D4—62no—
1443C2×D4—62no—
1444C2×D4—62no—
1445C2×D4—62no—
1446C2×D4—62no—
1447C2×D4—62no—
1448C2×D4—62no—
1449C2×D4—62no—
1450C2×D4—62no—
1451C2×D4—62no—
1452C2×D4—62no—
1453C2×D4—62no—
1454C2×D4—62no—
1455C2×D4—62no—
1456C2×D4—62no—
1457C2×D4—62no—
1458C2×D4—62no—
1459C2×D4—62no—
1460C2×D4—121no—
1461C2×D4—121no—
1462C2×D4—121no—
1463C2×D4—121no—
1464C2×D4—121no—
1465C2×D4—121no—
1466C2×D4—1216no—
1467C2×D4—121no—
1468C2×D4—121no—
1469C2×D4—121no—
1470C2×D4—121no—
1471C2×D4—121no—
1472C2×D4—121no—
1473C2×D4—121no—
1474C2×D4—121no—
1475C2×D4—121no—
1476C2×D4—121no—
1477C2×D4—121no—
1478C2×D4—121no—
1479C2×D4—121no—
1480C2×D4—121no—
1481C2×D4—121no—
1482C2×D4—121no—
1483C2×D4—121no—
1484C2×D4—121no—
1485C2×D4—121no—
1486C2×D4—121no—
1487C2×D4—121no—
1488C2×D4—1216no—
1489C2×D4—1216no—
1490C2×D4—1216no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—31no—
1497C22×C4—31no—
1498C22×C4—31no—
1499C22×C4—31no—
1500C22×C4—34no—
1501C22×C4—34no—
1502C22×C4—34no—
1503C22×C4—31no—
1504C22×C4—31no—
1505C22×C4—31no—
1506C22×C4—31no—
1507C22×C4—31no—
1508C22×C4—31no—
1509C22×C4—31no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—41no—
1513C22×C4—41no—
1514C22×C4—62no—
1515C22×C4—62no—
1516C22×C4—62no—
1517C22×C4—62no—
1518C22×C4—62no—
1519C22×C4—62no—
1520C22×C4—62no—
1521C22×C4—62no—
1522C22×C4—62no—
1523C22×C4—62no—
1524C22×C4—62no—
1525C22×C4—62no—
1526C22×C4—62no—
1527C22×C4—62no—
1528C22×C4—62no—
1529C22×C4—62no—
1530C22×C4—62no—
1531C22×C4—121no—
1532C22×C4—121no—
1533C22×C4—121no—
1534C22×C4—121no—
1535C22×C4—121no—
1536C22×C4—121no—
1537C22×C4—121no—
1538C22×C4—121no—
1539C22×C4—121no—
1540C22×C4—121no—
1541C22×C4—1216no—
1542C22×C4—121no—
1543C22×C4—121no—
1544C22×C4—121no—
1545C22×C4C23×D311yescharacteristic
1546C22×C4C23×D311yescharacteristic
1547C22×C4C23×D311yescharacteristic
1548C22×C4C23×D311yescharacteristic
1549C22×C4C23×D311yescharacteristic
1550C22×C4C23×D311yescharacteristic
1551C22×C4C23×D311yescharacteristic
1552C22×C4C23×D311yescharacteristic
1553C22×C4C23×D311yescharacteristic
1554C22×C4C23×D311yescharacteristic
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—34no—
1558C4⋊C4—41no—
1559C4⋊C4—62no—
1560C4⋊C4—62no—
1561C4⋊C4—62no—
1562C4⋊C4—62no—
1563C4⋊C4—62no—
1564C4⋊C4—62no—
1565C4⋊C4—62no—
1566C4⋊C4—62no—
1567C4⋊C4—62no—
1568C4⋊C4—62no—
1569C4⋊C4—62no—
1570C4⋊C4—62no—
1571C4⋊C4—121no—
1572C4⋊C4—121no—
1573C4⋊C4—121no—
1574C4⋊C4D3×D414yescomplemented
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—22no—
1582C22⋊C4—34no—
1583C22⋊C4—34no—
1584C22⋊C4—34no—
1585C22⋊C4—34no—
1586C22⋊C4—34no—
1587C22⋊C4—34no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—62no—
1593C22⋊C4—62no—
1594C22⋊C4—62no—
1595C22⋊C4—62no—
1596C22⋊C4—62no—
1597C22⋊C4—62no—
1598C22⋊C4—62no—
1599C22⋊C4—62no—
1600C22⋊C4—62no—
1601C22⋊C4—62no—
1602C22⋊C4—62no—
1603C22⋊C4—62no—
1604C22⋊C4—62no—
1605C22⋊C4—62no—
1606C22⋊C4—62no—
1607C22⋊C4—62no—
1608C22⋊C4—62no—
1609C22⋊C4—62no—
1610C22⋊C4—62no—
1611C22⋊C4—62no—
1612C22⋊C4—62no—
1613C22⋊C4—62no—
1614C22⋊C4—62no—
1615C22⋊C4—62no—
1616C22⋊C4—121no—
1617C22⋊C4—121no—
1618C22⋊C4—121no—
1619C22⋊C4—121no—
1620C22⋊C4—121no—
1621C22⋊C4—121no—
1622C22⋊C4—121no—
1623C22⋊C4—121no—
1624C22⋊C4—121no—
1625C22⋊C4—121no—
1626C22⋊C4—121no—
1627C22⋊C4—121no—
1628C22⋊C4—121no—
1629C22⋊C4—121no—
1630C22⋊C4—121no—
1631C22⋊C4—121no—
1632C22⋊C4D3×D414yes—
1633C42—22no—
1634C42—41no—
1635C42—62no—
1636C42—62no—
1637C42—121no—
1638C22×C3—22no—
1639C22×C3—22no—
1640C22×C3—22no—
1641C22×C3—22no—
1642C22×C3—22no—
1643C22×C3—22no—
1644C22×C3—41no—
1645C22×C3—41no—
1646C22×C3—41no—
1647C22×C3—41no—
1648C22×C3—41no—
1649C22×C3—41no—
1650C22×C3—41no—
1651C22×C3—41no—
1652C22×C3—41no—
1653C22×C3—41no—
1654C22×C3—41no—
1655C22×C3—41no—
1656C22×C3—41no—
1657C22×C3—41no—
1658C22×C3—41no—
1659C22×C3—41no—
1660C22×C3—41no—
1661C22×C3—41no—
1662C22×C3—41no—
1663C22×C3—41no—
1664C22×C3—41no—
1665C22×C3—41no—
1666C22×C3—41no—
1667C22×C3—41no—
1668C22×C3—41no—
1669C22×C3—41no—
1670C22×C3—41no—
1671C22×C3—41no—
1672C22×C3—41no—
1673C22×C3C23×D411yescharacteristic
1674C22×C3C23×D411yescharacteristic
1675C22×C3C2×H(5,𝔽2)11yescharacteristic
1676C22×C3C2×H(5,𝔽2)11yescharacteristic
1677C22×C3C2×H(5,𝔽2)11yescharacteristic
1678C22×C3#58511yescharacteristic
1679C22×C3#58511yescharacteristic
1680C2×D3—22no—
1681C2×D3—22no—
1682C2×D3—22no—
1683C2×D3—22no—
1684C2×D3—22no—
1685C2×D3—22no—
1686C2×D3—22no—
1687C2×D3—22no—
1688C2×D3—22no—
1689C2×D3—22no—
1690C2×D3—22no—
1691C2×D3—22no—
1692C2×D3—22no—
1693C2×D3—22no—
1694C2×D3—22no—
1695C2×D3—416no—
1696C2×D3—41no—
1697C2×D3—41no—
1698C2×D3—41no—
1699C2×D3—41no—
1700C2×D3—41no—
1701C2×D3—41no—
1702C2×D3—41no—
1703C2×D3—41no—
1704C2×D3—41no—
1705C2×D3—41no—
1706C2×D3—41no—
1707C2×D3—41no—
1708C2×D3—41no—
1709C2×D3—41no—
1710C2×D3—41no—
1711C2×D3—41no—
1712C2×D3—41no—
1713C2×D3—41no—
1714C2×D3—41no—
1715C2×D3—88no—
1716C2×D3—88no—
1717C2×D3—88no—
1718C2×D3D4214yes—
1719C3×C4—22no—
1720C3×C4—22no—
1721C3×C4—22no—
1722C3×C4—22no—
1723C3×C4—22no—
1724C3×C4—41no—
1725C3×C4—41no—
1726C3×C4—41no—
1727C3×C4—41no—
1728C3×C4—41no—
1729Dic3—22no—
1730Dic3—22no—
1731Dic3—22no—
1732Dic3—22no—
1733Dic3—41no—
1734Dic3—41no—
1735Dic3—41no—
1736Dic3—41no—
1737Dic3—41no—
1738Dic3—41no—
1739Dic3—41no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—32no—
1774C23—32no—
1775C23—32no—
1776C23—32no—
1777C23—32no—
1778C23—32no—
1779C23—68no—
1780C23—68no—
1781C23—61no—
1782C23—61no—
1783C23—61no—
1784C23—61no—
1785C23—61no—
1786C23—61no—
1787C23—61no—
1788C23—61no—
1789C23—61no—
1790C23—61no—
1791C23—61no—
1792C23—61no—
1793C23—61no—
1794C23—61no—
1795C23—61no—
1796C23—61no—
1797C23—61no—
1798C23—61no—
1799C23—61no—
1800C23—61no—
1801C23—61no—
1802C23—61no—
1803C23—61no—
1804C23—61no—
1805C23—61no—
1806C23—61no—
1807C23—61no—
1808C23—61no—
1809C23—61no—
1810C23—124no—
1811C23—124no—
1812C23—124no—
1813C23—124no—
1814C23—124no—
1815C23—124no—
1816C23—124no—
1817C23—124no—
1818C23—124no—
1819C23—124no—
1820C23—124no—
1821C23—124no—
1822C23—124no—
1823C23—242no—
1824C23—242no—
1825C23—242no—
1826C23—242no—
1827C23—242no—
1828C23—242no—
1829C23—242no—
1830C23—242no—
1831C23—242no—
1832C23—242no—
1833C23—242no—
1834C23—242no—
1835C23—242no—
1836C23C2×D3×D412yes—
1837C23#100412yes—
1838C23C24×D311yescharacteristic
1839Q8—124no—
1840D4—44no—
1841D4—44no—
1842D4—44no—
1843D4—44no—
1844D4—44no—
1845D4—68no—
1846D4—82no—
1847D4—82no—
1848D4—82no—
1849D4—82no—
1850D4—82no—
1851D4—124no—
1852D4—124no—
1853D4—124no—
1854D4—124no—
1855D4—124no—
1856D4—124no—
1857D4—124no—
1858D4—124no—
1859D4—124no—
1860D4—124no—
1861D4—124no—
1862D4—124no—
1863D4—124no—
1864D4—124no—
1865D4—124no—
1866D4—124no—
1867D4—124no—
1868D4—242no—
1869D4—242no—
1870D4—242no—
1871D4—242no—
1872D4—242no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—32no—
1899C2×C4—32no—
1900C2×C4—32no—
1901C2×C4—32no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—68no—
1905C2×C4—68no—
1906C2×C4—61no—
1907C2×C4—61no—
1908C2×C4—61no—
1909C2×C4—61no—
1910C2×C4—61no—
1911C2×C4—61no—
1912C2×C4—61no—
1913C2×C4—61no—
1914C2×C4—61no—
1915C2×C4—61no—
1916C2×C4—61no—
1917C2×C4—61no—
1918C2×C4—61no—
1919C2×C4—61no—
1920C2×C4—61no—
1921C2×C4—61no—
1922C2×C4—61no—
1923C2×C4—61no—
1924C2×C4—61no—
1925C2×C4—61no—
1926C2×C4—61no—
1927C2×C4—61no—
1928C2×C4—61no—
1929C2×C4—61no—
1930C2×C4—61no—
1931C2×C4—61no—
1932C2×C4—61no—
1933C2×C4—61no—
1934C2×C4—61no—
1935C2×C4—82no—
1936C2×C4—124no—
1937C2×C4—124no—
1938C2×C4—124no—
1939C2×C4—124no—
1940C2×C4—124no—
1941C2×C4—124no—
1942C2×C4—124no—
1943C2×C4—242no—
1944C2×C4—242no—
1945C2×C4C2×D3×D412yes—
1946C2×C4C2×D3×D412yes—
1947C2×C4C2×D3×D412yes—
1948C2×C4C2×D3×D412yes—
1949C2×C4C2×D3×D412yes—
1950C2×C3—42no—
1951C2×C3—42no—
1952C2×C3—81no—
1953C2×C3—81no—
1954C2×C3—81no—
1955C2×C3#344911yescharacteristic
1956C2×C3C2×D4211yescharacteristic
1957C2×C3#348411yescharacteristic
1958C2×C3#348811yescharacteristic
1959C2×C3#348811yescharacteristic
1960C2×C3#353411yescharacteristic
1961C2×C3#353411yescharacteristic
1962D3—24no—
1963D3—42no—
1964D3—42no—
1965D3—42no—
1966D3—81no—
1967C22—22no—
1968C22—22no—
1969C22—22no—
1970C22—22no—
1971C22—22no—
1972C22—22no—
1973C22—34no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—41no—
1978C22—41no—
1979C22—41no—
1980C22—41no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—41no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—41no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—62no—
2004C22—62no—
2005C22—62no—
2006C22—62no—
2007C22—62no—
2008C22—62no—
2009C22—62no—
2010C22—62no—
2011C22—62no—
2012C22—62no—
2013C22—62no—
2014C22—62no—
2015C22—62no—
2016C22—62no—
2017C22—62no—
2018C22—1216no—
2019C22—121no—
2020C22—121no—
2021C22—121no—
2022C22—121no—
2023C22—121no—
2024C22—121no—
2025C22—121no—
2026C22—121no—
2027C22—121no—
2028C22—121no—
2029C22—121no—
2030C22—121no—
2031C22—121no—
2032C22—121no—
2033C22—121no—
2034C22—121no—
2035C22—121no—
2036C22—121no—
2037C22—121no—
2038C22—248no—
2039C22—248no—
2040C22—248no—
2041C22C22×D3×D411yescharacteristic
2042C22C22×D3×D411yescharacteristic
2043C22C2×#100411yescharacteristic
2044C22#596411yescharacteristic
2045C22#596411yescharacteristic
2046C22D3×H(5,𝔽2)11yescharacteristic
2047C22D3×H(5,𝔽2)11yescharacteristic
2048C4—22no—
2049C4—22no—
2050C4—22no—
2051C4—22no—
2052C4—22no—
2053C4—41no—
2054C4—41no—
2055C4—41no—
2056C4—41no—
2057C4—41no—
2058C4—62no—
2059C4—62no—
2060C4—62no—
2061C4—62no—
2062C4—121no—
2063C4—121no—
2064C4—121no—
2065C4—121no—
2066C4—121no—
2067C4—121no—
2068C4—121no—
2069C3#3765211yescharacteristic, complemented, Sylow
2070C2—42no—
2071C2—42no—
2072C2—64no—
2073C2—81no—
2074C2—81no—
2075C2—81no—
2076C2—122no—
2077C2—122no—
2078C2—122no—
2079C2—241no—
2080C2#8594911yescharacteristic
2081C2#8623511yescharacteristic
2082C2#8649011yescharacteristic
2083C2D3×D4211yescharacteristic
2084C2#8662011yescharacteristic
2085C2#8666911yescharacteristic
2086C2#8676911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2428C2
hypercenter#2428D3
hypocenterC3#37652
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2428

Complements

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

NH ≅ G/Ntype
1. C2×#5612C2semidirect
2. C2×#5605C2semidirect
3. C2×D3×#121C2semidirect
4. C2×#5547C2semidirect
5. C3×#2428C2semidirect
6. #83190C2semidirect
7. #83175C2semidirect
8. #82719C2semidirect
9. #82718C2semidirect
10. #82702C2semidirect
11. #82659C2semidirect
12. #82650C2semidirect
13. #82411C2semidirect
14. #77139C2semidirect
15. #77128C2semidirect
16. #77124C2semidirect
17. #76895C2semidirect
18. #76770C2semidirect
19. #76760C2semidirect
20. #76753C2semidirect
21. #76714C2semidirect
22. #76442C2semidirect
23. #76437C2semidirect
24. #76259C2semidirect
25. #76196C2semidirect
26. #74936C2semidirect
27. #74899C2semidirect
28. #74894C2semidirect
29. #74886C2semidirect
30. #73591C2semidirect
31. #73574C2semidirect
36. C22×D3×D4C22semidirect
38. C23×C4×D3C22semidirect
39. C2×C3×#127C22semidirect
40. C2×C3×#121C22semidirect
41. C2×C3×#121C22semidirect
42. C2×C3×#121C22semidirect
43. C2×C3×#121C22semidirect
44. C2×C3×C4×D4C22semidirect
45. C2×#940C22semidirect
47. C2×#939C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
50. C2×#939C22semidirect
51. C2×#939C22semidirect
53. C2×#938C22semidirect
54. C2×#938C22semidirect
58. C2×#937C22semidirect
59. C2×#937C22semidirect
60. C2×#937C22semidirect
61. C2×#937C22semidirect
62. C2×#937C22semidirect
63. C2×#936C22semidirect
65. C2×#930C22semidirect
66. C2×C4×#67C22semidirect
67. C2×C4×#67C22semidirect
68. C2×C4×#67C22semidirect
74. C2×#897C22semidirect
75. C2×#896C22semidirect
78. C2×#894C22semidirect
80. C2×D3×C4⋊C4C22semidirect
82. C2×#884C22semidirect
83. C2×#884C22semidirect
84. C2×#884C22semidirect
85. C2×#884C22semidirect
88. C2×#883C22semidirect
89. C2×#883C22semidirect
90. C2×#883C22semidirect
93. C2×#882C22semidirect
94. C2×#882C22semidirect
96. C2×D3×C22⋊C4C22semidirect
97. C2×D3×C22⋊C4C22semidirect
98. C2×#878C22semidirect
99. C2×C4×D12C22semidirect
100. C2×#872C22semidirect
101. C3×#394C22semidirect
102. C3×#394C22semidirect
103. C3×#392C22semidirect
104. C3×#392C22semidirect
105. C3×#390C22semidirect
106. C3×#389C22semidirect
107. C3×#386C22semidirect
108. C3×#386C22semidirect
109. C3×C4×C22⋊C4C22semidirect
110. #5223C22semidirect
111. #5223C22semidirect
112. #5223C22semidirect
113. #5223C22semidirect
114. #5223C22semidirect
115. #5223C22semidirect
116. #5223C22semidirect
117. #5223C22semidirect
118. #5223C22semidirect
119. #5223C22semidirect
120. #5223C22semidirect
121. #5222C22semidirect
122. #5222C22semidirect
123. #5222C22semidirect
124. #5221C22semidirect
125. #5220C22semidirect
126. #5220C22semidirect
127. #5213C22semidirect
128. #5213C22semidirect
129. #5210C22semidirect
130. #5210C22semidirect
131. #4994C22semidirect
132. #4991C22semidirect
133. #4991C22semidirect
134. #4990C22semidirect
135. #4989C22semidirect
136. #4989C22semidirect
137. #4981C22semidirect
138. #4980C22semidirect
139. #4976C22semidirect
140. #4961C22semidirect
141. #4961C22semidirect
142. #4960C22semidirect
143. #4960C22semidirect
144. #4960C22semidirect
145. #4960C22semidirect
146. #4959C22semidirect
147. #4959C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
155. #4956C22semidirect
156. #4956C22semidirect
158. #4955C22semidirect
159. #4955C22semidirect
160. #4950C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4948C22semidirect
164. #4948C22semidirect
165. #4948C22semidirect
166. #4947C22semidirect
167. #4946C22semidirect
168. #4945C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. #4940C22semidirect
171. #4940C22semidirect
172. #4940C22semidirect
173. #4940C22semidirect
174. #4939C22semidirect
175. C4×(C2×D3)⋊C4C22semidirect
176. #4673C22semidirect
177. #4672C22semidirect
178. #4671C22semidirect
179. #4669C22semidirect
180. #4669C22semidirect
181. #4668C22semidirect
182. #4668C22semidirect
183. #4668C22semidirect
184. #4667C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
188. #4664C22semidirect
189. #4664C22semidirect
190. #4661C22semidirect
191. #4652C22semidirect
213. #2428D3semidirect
411. #894D4semidirect
430. D3×C22⋊C4D4semidirect
463. C2×#127C2×D3semidirect
494. C2×#121C2×D3semidirect
495. C2×#121C2×D3semidirect
496. C2×#121C2×D3semidirect
497. C2×#121C2×D3semidirect
515. C2×C4×D4C2×D3semidirect
540. #394C2×D3semidirect
541. #394C2×D3semidirect
560. #392C2×D3semidirect
561. #392C2×D3semidirect
567. #390C2×D3semidirect
569. #389C2×D3semidirect
593. #386C2×D3semidirect
594. #386C2×D3semidirect
612. C4×C22⋊C4C2×D3semidirect
825. C3×C4⋊C4C2×D4semidirect
884. (C2×D3)⋊C4C2×D4semidirect
885. (C2×D3)⋊C4C2×D4semidirect
901. Dic3⋊C4C2×D4semidirect
1574. C4⋊C4D3×D4semidirect
2069. C3#37652semidirect

Maximal subgroups

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

subgroupindex
C2×#56122
C2×#56052
C2×D3×#1212
C2×#55472
C3×#24282
#831902
#831752
#827192
#827182
#827022
#826592
#826502
#824112
#771392
#771282
#771242
#768952
#767702
#767602
#767532
#767142
#764422
#764372
#762592
#761962
#749362
#748992
#748942
#748862
#735912
#735742
#376523