Finite Group Databasebeta

← #11098048

Subgroups — #11098048

Order 768.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5653C211yesmaximal, characteristic, complemented
3C3×#2718C211yesmaximal, characteristic, complemented
4#83114C211yesmaximal, characteristic, complemented
5#82882C211yesmaximal, characteristic, complemented
6#78401C211yesmaximal, characteristic, complemented
7#78346C211yesmaximal, characteristic, complemented
8#78107C211yesmaximal, characteristic, complemented
9#78048C211yesmaximal, characteristic, complemented
10#78007C211yesmaximal, characteristic, complemented
11#77948C211yesmaximal, characteristic, complemented
12#77416C211yesmaximal, characteristic, complemented
13#77331C211yesmaximal, characteristic, complemented
14#77141C211yesmaximal, characteristic, complemented
15#77129C211yesmaximal, characteristic, complemented
16#77122C211yesmaximal, characteristic, complemented
17D3×#394C211yesmaximal, characteristic, complemented
18#76209C211yesmaximal, characteristic, complemented
19#76208C211yesmaximal, characteristic, complemented
20#75916C211yesmaximal, characteristic, complemented
21#75910C211yesmaximal, characteristic, complemented
22#75902C211yesmaximal, characteristic, complemented
23#75842C211yesmaximal, characteristic, complemented
24#75833C211yesmaximal, characteristic, complemented
25#75527C211yesmaximal, characteristic, complemented
26#74601C211yesmaximal, characteristic, complemented
27#74599C211yesmaximal, characteristic, complemented
28#74532C211yesmaximal, characteristic, complemented
29#74526C211yesmaximal, characteristic, complemented
30#74367C211yesmaximal, characteristic, complemented
31#74328C211yesmaximal, characteristic, complemented
32#40509—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#929C2211yescharacteristic
39#5705—28no—
40#5653—28no—
41C2×#897C2211yescharacteristic, complemented
42C2×#896C2211yescharacteristic, complemented
43C2×#895C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic, complemented
56C2×#892C2211yescharacteristic, complemented
57C2×#892C2211yescharacteristic, complemented
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×#885C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic, complemented
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×#879C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic, complemented
77C2×#872C2211yescharacteristic, complemented
78C3×#400C2211yescharacteristic, complemented
79C3×#399C2211yescharacteristic, complemented
80C3×#398C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#389C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#384C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5222C2211yescharacteristic
93#5213C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4993C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4993C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4988C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4988C2211yescharacteristic, complemented
119#4987C2211yescharacteristic, complemented
120#4983C2211yescharacteristic, complemented
121#4977C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4975C2211yescharacteristic, complemented
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic, complemented
144#4955C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4955C2211yescharacteristic, complemented
147#4953C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4940C2211yescharacteristic, complemented
153#4939C2211yescharacteristic, complemented
154#4939C2211yescharacteristic, complemented
155#4939C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4671C2211yescharacteristic, complemented
171#4671C2211yescharacteristic, complemented
172#4671C2211yescharacteristic, complemented
173#4671C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186D3×#95C2211yescharacteristic, complemented
187#4660C2211yescharacteristic, complemented
188#4657C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#534—31no—
192#2816—31no—
193#2813—31no—
194#2718—31no—
195#2718D311yescharacteristic, complemented
196#2710—31no—
197#2706—31no—
198#2685—31no—
199#2685—31no—
200#2678—31no—
201#2670—31no—
202#2661—31no—
203#2635—31no—
204#2624—31no—
205#2620—31no—
206#2613—31no—
207#2539—31no—
208#2501—31no—
209#2500—31no—
210#2488—31no—
211#2472—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2413—31no—
216#2411—31no—
217#2410—31no—
218#2405—31no—
219C2×#394—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C2×D3×D4—24no—
233C2×D3×D4—42no—
234C2×D3×D4—42no—
235C22×D12—24no—
236C22×D12—42no—
237C22×D12—42no—
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#126—24no—
260C3×#123—24no—
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#937—24no—
294#929—24no—
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#897—24no—
363#896—24no—
364#895—24no—
365#895—24no—
366#895—42no—
367#895—42no—
368#895—42no—
369#894—24no—
370#894—24no—
371#894—24no—
372#894—24no—
373#894—42no—
374#894—42no—
375#894—42no—
376#893—24no—
377#892—24no—
378#892—42no—
379D3×C4⋊C4—42no—
380#885—24no—
381#885—42no—
382#884—24no—
383#884—24no—
384#883—24no—
385#882—24no—
386#882—24no—
387#882—24no—
388#882—24no—
389#882—42no—
390#882—42no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394D3×C22⋊C4—42no—
395D3×C22⋊C4D418yescomplemented
396#879—24no—
397C4×D12—24no—
398#872—24no—
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C23×D4—31no—
424C23×D4—31no—
425#551—68no—
426#534—68no—
427C2×#126—31no—
428C2×#126C2×D311yescharacteristic, complemented
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123C2×D311yescharacteristic
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×#117—31no—
460C2×#117—31no—
461C2×#117—31no—
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400C2×D311yescharacteristic, complemented
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399C2×D311yescharacteristic, complemented
476#398—31no—
477#398—31no—
478#398C2×D311yescharacteristic, complemented
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic, complemented
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic
512#394C2×D311yescharacteristic
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#391—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#389—31no—
536#389—31no—
537#389C2×D311yescharacteristic, complemented
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388C2×D311yescharacteristic, complemented
550#388C2×D311yescharacteristic, complemented
551#388C2×D311yescharacteristic, complemented
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385C2×D311yescharacteristic, complemented
563#385C2×D311yescharacteristic, complemented
564#384—31no—
565#384C2×D311yescharacteristic, complemented
566#382—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3C2×D414yes—
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C22×C3×C4—22no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656D3×D4—416no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—416no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3C2×D414yes—
717C2×C4×D3C2×D414yes—
718C2×Dic6—22no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—41no—
728C3×C4⋊C4—41no—
729C3×C4⋊C4—41no—
730C3×C4⋊C4—41no—
731C3×C4⋊C4—41no—
732C3×C4⋊C4—41no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4C2×D414yes—
744C3×C42—22no—
745C3×C42—41no—
746#217—22no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217C2×D414yes—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4C2×D414yes—
798(C2×D3)⋊C4C2×D414yes—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—41no—
802C4⋊Dic3—41no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815C4×Dic3—22no—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C25—31no—
823C22×Q8—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—64no—
843C22×D4—64no—
844C22×D4—122no—
845C22×D4—122no—
846C22×D4—122no—
847C22×D4—122no—
848C22×D4C22×D311yescharacteristic
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4C22×D311yescharacteristic
858#126—24no—
859#126—64no—
860#124—64no—
861#124—122no—
862#123—24no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—64no—
868#123—64no—
869#123—122no—
870#123—122no—
871#123—122no—
872C22⋊Q8—64no—
873C22⋊Q8—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—122no—
879#121—122no—
880#121—122no—
881#120—64no—
882#120—64no—
883#120—64no—
884#120—64no—
885#120—64no—
886#120—122no—
887#120—122no—
888C4×D4—64no—
889C4×D4—64no—
890#117—64no—
891#117—64no—
892#117—122no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—122no—
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—38no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—64no—
977C2×C22⋊C4—122no—
978C2×C22⋊C4—122no—
979C2×C22⋊C4—122no—
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42C22×D311yescharacteristic
997C2×C42C22×D311yescharacteristic
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3C22×D412yes—
1036C23×C3C2511yescharacteristic
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—28no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3C22×D412yes—
1097C22×D3C22×D412yes—
1098C22×D3H(5,𝔽2)12yes—
1099C22×D3H(5,𝔽2)12yes—
1100C3×D4—44no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—44no—
1138C2×C3×C4C22×D412yes—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4H(5,𝔽2)12yes—
1141#67—44no—
1142#67—44no—
1143#67—82no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3C22×D412yes—
1176C2×Dic3C22×D412yes—
1177D12—44no—
1178D12—44no—
1179D12—44no—
1180D12—44no—
1181D12—44no—
1182D12—44no—
1183D12—44no—
1184D12—82no—
1185D12—82no—
1186D12—82no—
1187D12—82no—
1188D12—82no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—44no—
1194C4×D3—82no—
1195C4×D3—82no—
1196C4×D3—82no—
1197Dic6—82no—
1198C24—31no—
1199C24—31no—
1200C24—34no—
1201C24—31no—
1202C24—31no—
1203C24—31no—
1204C24—31no—
1205C24—62no—
1206C24—62no—
1207C24—62no—
1208C24—62no—
1209C24—62no—
1210C24—62no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24—121no—
1224C24—121no—
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C2×Q8—62no—
1228C2×Q8—121no—
1229C2×Q8—121no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—1216no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—1216no—
1289C22×C4—22no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—34no—
1293C22×C4—34no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—34no—
1374C22⋊C4—34no—
1375C22⋊C4—34no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4D3×D414yes—
1431C42—22no—
1432C42—41no—
1433C42—62no—
1434C42—62no—
1435C42—62no—
1436C42—121no—
1437C42—121no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3C23×D411yescharacteristic
1453C22×C3C2×H(5,𝔽2)11yescharacteristic
1454C22×C3C2×H(5,𝔽2)11yescharacteristic
1455C22×C3C2×H(5,𝔽2)11yescharacteristic
1456C22×C3#58511yescharacteristic
1457C22×C3#58511yescharacteristic
1458C22×C3#58511yescharacteristic
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—88no—
1501C2×D3—88no—
1502C2×D3—88no—
1503C2×D3#53514yes—
1504C3×C4—22no—
1505C3×C4—22no—
1506C3×C4—22no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4—41no—
1517Dic3—22no—
1518Dic3—22no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—32no—
1541C23—32no—
1542C23—32no—
1543C23—32no—
1544C23—68no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—124no—
1584C23—124no—
1585C23—124no—
1586C23—124no—
1587C23—124no—
1588C23—124no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23—242no—
1594C23—242no—
1595C23—242no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23—242no—
1602C23—242no—
1603C23C2×D3×D412yes—
1604C23C24×D311yescharacteristic
1605Q8—242no—
1606D4—44no—
1607D4—124no—
1608D4—124no—
1609D4—124no—
1610D4—124no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—242no—
1617D4—242no—
1618D4—242no—
1619D4—242no—
1620D4—242no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—32no—
1662C2×C4—32no—
1663C2×C4—44no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—124no—
1693C2×C4—124no—
1694C2×C4—124no—
1695C2×C4—124no—
1696C2×C4—124no—
1697C2×C4—242no—
1698C2×C4—242no—
1699C2×C4—242no—
1700C2×C4C2×D3×D412yes—
1701C2×C4C2×D3×D412yes—
1702C2×C4#100912yes—
1703C2×C3—42no—
1704C2×C3—81no—
1705C2×C3C2×#53511yescharacteristic
1706C2×C3#348511yescharacteristic
1707C2×C3#349611yescharacteristic
1708C2×C3#353311yescharacteristic
1709C2×C3#353411yescharacteristic
1710C2×C3#354211yescharacteristic
1711C2×C3#354511yescharacteristic
1712D3—24no—
1713D3—42no—
1714D3—81no—
1715D3—81no—
1716D3—81no—
1717D3—81no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—34no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—62no—
1734C22—62no—
1735C22—62no—
1736C22—62no—
1737C22—62no—
1738C22—62no—
1739C22—62no—
1740C22—62no—
1741C22—62no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—248no—
1775C22—248no—
1776C22—248no—
1777C22C22×D3×D411yescharacteristic
1778C22C2×#100911yescharacteristic
1779C22#596411yescharacteristic
1780C22D3×H(5,𝔽2)11yescharacteristic
1781C22D3×H(5,𝔽2)11yescharacteristic
1782C22#596811yescharacteristic
1783C22#596811yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—62no—
1798C4—62no—
1799C4—121no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C3#4050911yescharacteristic, complemented, Sylow
1808C2—42no—
1809C2—64no—
1810C2—81no—
1811C2—122no—
1812C2—241no—
1813C2—241no—
1814C2—241no—
1815C2—241no—
1816C2D3×#53511yescharacteristic
1817C2#8645711yescharacteristic
1818C2#8656311yescharacteristic
1819C2#8670011yescharacteristic
1820C2#8670211yescharacteristic
1821C2#8691511yescharacteristic
1822C2#8713111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2718C2
hypercenter#2718D3
hypocenterC3#40509
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2718

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5653C2semidirect
3. C3×#2718C2semidirect
4. #83114C2semidirect
5. #82882C2semidirect
6. #78401C2semidirect
7. #78346C2semidirect
8. #78107C2semidirect
9. #78048C2semidirect
10. #78007C2semidirect
11. #77948C2semidirect
12. #77416C2semidirect
13. #77331C2semidirect
14. #77141C2semidirect
15. #77129C2semidirect
16. #77122C2semidirect
17. D3×#394C2semidirect
18. #76209C2semidirect
19. #76208C2semidirect
20. #75916C2semidirect
21. #75910C2semidirect
22. #75902C2semidirect
23. #75842C2semidirect
24. #75833C2semidirect
25. #75527C2semidirect
26. #74601C2semidirect
27. #74599C2semidirect
28. #74532C2semidirect
29. #74526C2semidirect
30. #74367C2semidirect
31. #74328C2semidirect
35. C2×C3×#126C22semidirect
41. C2×#897C22semidirect
42. C2×#896C22semidirect
47. C2×#895C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
55. C2×#893C22semidirect
56. C2×#892C22semidirect
57. C2×#892C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×#885C22semidirect
60. C2×#885C22semidirect
63. C2×#883C22semidirect
68. C2×#882C22semidirect
69. C2×#882C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×#879C22semidirect
76. C2×C4×D12C22semidirect
77. C2×#872C22semidirect
78. C3×#400C22semidirect
79. C3×#399C22semidirect
80. C3×#398C22semidirect
81. C3×#396C22semidirect
84. C3×#389C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. C3×#384C22semidirect
93. #5213C22semidirect
94. #5210C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4993C22semidirect
98. #4993C22semidirect
99. #4993C22semidirect
100. #4993C22semidirect
101. #4993C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4990C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
115. #4989C22semidirect
116. #4988C22semidirect
117. #4988C22semidirect
118. #4988C22semidirect
119. #4987C22semidirect
120. #4983C22semidirect
121. #4977C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
124. #4975C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4956C22semidirect
143. #4955C22semidirect
144. #4955C22semidirect
145. #4955C22semidirect
146. #4955C22semidirect
147. #4953C22semidirect
148. #4951C22semidirect
149. #4948C22semidirect
150. #4945C22semidirect
151. #4944C22semidirect
152. #4940C22semidirect
153. #4939C22semidirect
154. #4939C22semidirect
155. #4939C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
158. #4676C22semidirect
159. #4676C22semidirect
160. #4675C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
164. #4672C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4671C22semidirect
171. #4671C22semidirect
172. #4671C22semidirect
173. #4671C22semidirect
174. #4670C22semidirect
175. #4670C22semidirect
176. #4668C22semidirect
177. #4667C22semidirect
178. #4666C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. D3×#95C22semidirect
187. #4660C22semidirect
188. #4657C22semidirect
189. #4646C22semidirect
195. #2718D3semidirect
395. D3×C22⋊C4D4semidirect
428. C2×#126C2×D3semidirect
469. #400C2×D3semidirect
475. #399C2×D3semidirect
478. #398C2×D3semidirect
487. #396C2×D3semidirect
537. #389C2×D3semidirect
549. #388C2×D3semidirect
550. #388C2×D3semidirect
551. #388C2×D3semidirect
562. #385C2×D3semidirect
563. #385C2×D3semidirect
565. #384C2×D3semidirect
1807. C3#40509semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#56532
C3×#27182
#831142
#828822
#784012
#783462
#781072
#780482
#780072
#779482
#774162
#773312
#771412
#771292
#771222
D3×#3942
#762092
#762082
#759162
#759102
#759022
#758422
#758332
#755272
#746012
#745992
#745322
#745262
#743672
#743282
#405093