Finite Group Databasebeta

← #11235345

Subgroups — #11235345

Order 768.

3174 conjugacy classes of subgroups.

The subgroup lattice has 2018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5711C211yesmaximal, characteristic, complemented
2C22×#895C211yesmaximal, characteristic, complemented
3C3×#2481C211yesmaximal, characteristic, complemented
4#83117C211yesmaximal, characteristic, complemented
5#82195C211yesmaximal, characteristic, complemented
6#78401C211yesmaximal, characteristic, complemented
7#78365C211yesmaximal, characteristic, complemented
8#78365C211yesmaximal, characteristic, complemented
9#78241C211yesmaximal, characteristic, complemented
10#77729C211yesmaximal, characteristic, complemented
11#77689C211yesmaximal, characteristic, complemented
12#77430C211yesmaximal, characteristic, complemented
13#77428C211yesmaximal, characteristic, complemented
14#75924C211yesmaximal, characteristic, complemented
15#75912C211yesmaximal, characteristic, complemented
16#75387C211yesmaximal, characteristic, complemented
17#75387C211yesmaximal, characteristic, complemented
18#75313C211yesmaximal, characteristic, complemented
19#75150C211yesmaximal, characteristic, complemented
20#74935C211yesmaximal, characteristic, complemented
21#74893C211yesmaximal, characteristic, complemented
22#74888C211yesmaximal, characteristic, complemented
23#74887C211yesmaximal, characteristic, complemented
24#74884C211yesmaximal, characteristic, complemented
25#74884C211yesmaximal, characteristic, complemented
26#74656C211yesmaximal, characteristic, complemented
27#74601C211yesmaximal, characteristic, complemented
28#74018C211yesmaximal, characteristic, complemented
29#74016C211yesmaximal, characteristic, complemented
30#73596C211yesmaximal, characteristic, complemented
31#73587C211yesmaximal, characteristic, complemented
32#45444—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×D12C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic, complemented
38C2×C3×#126C2211yescharacteristic, complemented
39C22×C3×C4⋊C4C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic, complemented
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
47#5711—28no—
48C2×#895—28no—
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic, complemented
79C2×#882C2211yescharacteristic, complemented
80C2×D3×C22⋊C4C2211yescharacteristic, complemented
81C2×#876C2211yescharacteristic, complemented
82C2×#874C2211yescharacteristic, complemented
83C2×#874C2211yescharacteristic, complemented
84C3×#400C2211yescharacteristic, complemented
85C3×#400C2211yescharacteristic, complemented
86C3×#397C2211yescharacteristic, complemented
87C3×#396C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#387C2211yescharacteristic, complemented
90C3×#387C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic
92C3×#386C2211yescharacteristic
93C3×#386C2211yescharacteristic
94C3×#385C2211yescharacteristic, complemented
95C3×#380C2211yescharacteristic, complemented
96C3×C4×C22⋊C4C2211yescharacteristic, complemented
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4988C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4955C2211yescharacteristic, complemented
134#4955C2211yescharacteristic, complemented
135#4946C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4939C2211yescharacteristic, complemented
141#4939C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4676C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4675C2211yescharacteristic, complemented
148#4672C2211yescharacteristic, complemented
149#4672C2211yescharacteristic, complemented
150#4672C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4672C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4671C2211yescharacteristic, complemented
156#4671C2211yescharacteristic, complemented
157#4671C2211yescharacteristic, complemented
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4671C2211yescharacteristic, complemented
167#4671C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190C2×#560—31no—
191C22×#121—31no—
192#2849—31no—
193#2847—31no—
194#2815—31no—
195#2813—31no—
196#2714—31no—
197#2703—31no—
198#2699—31no—
199#2691—31no—
200#2688—31no—
201#2688—31no—
202#2678—31no—
203#2675—31no—
204#2673—31no—
205#2673—31no—
206#2669—31no—
207#2668—31no—
208#2481D311yescharacteristic, complemented
209#2480—31no—
210#2443—31no—
211#2433—31no—
212#2424—31no—
213#2412—31no—
214#2410—31no—
215#2410—31no—
216#2410—31no—
217#2408—31no—
218#2403—31no—
219#2403—31no—
220#2377—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×D3×D4—42no—
239C2×D3×D4—42no—
240C2×D3×D4—42no—
241C22×D12—24no—
242C22×D12—24no—
243C22×D12—24no—
244C22×D12—42no—
245C22×D12—42no—
246C22×D12—42no—
247C22×D12—42no—
248C22×D12—42no—
249C22×D12—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×C4×D3—24no—
275C22×C4×D3—42no—
276C22×C4×D3—42no—
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C3×#126—24no—
286C2×C3×C4⋊C4—24no—
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C42C2311yescharacteristic
305C2×C3×C42C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#939—42no—
310#937—42no—
311#937—42no—
312#930—42no—
313C4×#67—42no—
314C2×(C2×D3)⋊C4—24no—
315C2×(C2×D3)⋊C4—24no—
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374#895—24no—
375#895—24no—
376#895—24no—
377#895—24no—
378#895—24no—
379#895—24no—
380#895—24no—
381#895—24no—
382#895—24no—
383#895—42no—
384#895—42no—
385#895D418yescomplemented
386#894—24no—
387#894—24no—
388#894—24no—
389#894—42no—
390#884—24no—
391#884—24no—
392#884—24no—
393#884—42no—
394#884—42no—
395#882—24no—
396#882—24no—
397#882—24no—
398#882—42no—
399#882—42no—
400#882—42no—
401#882—42no—
402#882—42no—
403#882—42no—
404#882—42no—
405D3×C22⋊C4—42no—
406#876—24no—
407#874—24no—
408#874—42no—
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C23×D4—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439C24×C4—31no—
440#560—68no—
441C2×#127—31no—
442C2×#127—31no—
443C2×#126—31no—
444C2×#126C2×D311yescharacteristic, complemented
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#121—68no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×#120—31no—
479C2×#120—31no—
480C2×#120—31no—
481C2×C4×D4—31no—
482C22×C4⋊C4C2×D311yescharacteristic, complemented
483C22×C22⋊C4—31no—
484C22×C22⋊C4—31no—
485C22×C22⋊C4—31no—
486#400C2×D311yescharacteristic, complemented
487#400C2×D311yescharacteristic, complemented
488#399—31no—
489#398—31no—
490#397—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397—31no—
496#397C2×D311yescharacteristic, complemented
497#396—31no—
498#396—31no—
499#396C2×D311yescharacteristic, complemented
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#394—31no—
512#394—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388C2×D311yescharacteristic, complemented
545#387—31no—
546#387C2×D311yescharacteristic, complemented
547#387C2×D311yescharacteristic, complemented
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386C2×D311yescharacteristic
570#386C2×D311yescharacteristic
571#386C2×D311yescharacteristic
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385C2×D311yescharacteristic, complemented
580#381—31no—
581#381—31no—
582#381—31no—
583#380—31no—
584#380—31no—
585#380—31no—
586#380C2×D311yescharacteristic, complemented
587#379—31no—
588#379—31no—
589#379—31no—
590#379—31no—
591C4×C22⋊C4C2×D311yescharacteristic, complemented
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—41no—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690D3×D4—416no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—416no—
736C2×D12—416no—
737C2×D12—416no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12—41no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12—41no—
753C2×D12—41no—
754C2×D12—41no—
755C2×D12—41no—
756C2×D12—41no—
757C2×D12—41no—
758C2×D12—41no—
759C2×D12—41no—
760C2×D12—41no—
761C2×D12—41no—
762C2×D12—41no—
763C2×D12C2×D414yes—
764C2×D12C2×D414yes—
765C2×D12C2×D414yescomplemented
766C2×C4×D3—22no—
767C2×C4×D3—22no—
768C2×C4×D3—22no—
769C2×C4×D3—22no—
770C2×C4×D3—22no—
771C2×C4×D3—22no—
772C2×C4×D3—22no—
773C2×C4×D3—41no—
774C2×C4×D3—41no—
775C2×C4×D3—41no—
776C2×C4×D3—41no—
777C2×C4×D3—41no—
778C2×C4×D3—41no—
779C2×C4×D3—41no—
780C2×C4×D3—41no—
781C2×C4×D3—41no—
782C2×C4×D3—416no—
783C2×C4×D3—41no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3C2×D414yescomplemented
791C3×C4⋊C4—22no—
792C3×C4⋊C4—22no—
793C3×C4⋊C4—22no—
794C3×C4⋊C4—22no—
795C3×C4⋊C4—22no—
796C3×C4⋊C4—22no—
797C3×C4⋊C4—41no—
798C3×C4⋊C4C2×D414yescomplemented
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—22no—
803C3×C22⋊C4—22no—
804C3×C22⋊C4—22no—
805C3×C22⋊C4—22no—
806C3×C22⋊C4—41no—
807C3×C22⋊C4—41no—
808C3×C42—22no—
809C3×C42—41no—
810#217—22no—
811#217—22no—
812#217—41no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4—41no—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857(C2×D3)⋊C4—41no—
858(C2×D3)⋊C4—41no—
859(C2×D3)⋊C4C2×D414yes—
860(C2×D3)⋊C4C2×D414yescomplemented
861C4⋊Dic3—41no—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—41no—
866Dic3⋊C4—41no—
867Dic3⋊C4—41no—
868Dic3⋊C4—41no—
869Dic3⋊C4—41no—
870C4×Dic3—41no—
871C25—31no—
872C25—31no—
873C25—31no—
874C25—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—64no—
908C22×D4—64no—
909C22×D4—64no—
910C22×D4—122no—
911C22×D4—122no—
912C22×D4—122no—
913C22×D4—122no—
914C22×D4—122no—
915C22×D4—122no—
916C22×D4—122no—
917C22×D4—122no—
918C22×D4—122no—
919C22×D4C22×D311yescharacteristic
920C23×C4—31no—
921C23×C4—31no—
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—64no—
930C23×C4—122no—
931C23×C4—122no—
932C23×C4C22×D311yescharacteristic
933C23×C4C22×D311yescharacteristic
934C23×C4C22×D311yescharacteristic
935#127—64no—
936#127—122no—
937#126—24no—
938#126—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—122no—
943#121—38no—
944#121—64no—
945#121—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—64no—
954#121—64no—
955#121—64no—
956#121—122no—
957#121—122no—
958#121—122no—
959#121—122no—
960#121—122no—
961#121—122no—
962#120—64no—
963#120—64no—
964#120—64no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970#120—122no—
971#120—122no—
972#120—122no—
973#120—122no—
974C4×D4—122no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4C22×D311yescharacteristic
986C2×C4⋊C4C22×D311yescharacteristic
987C2×C4⋊C4C22×D311yescharacteristic
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C4⋊C4C22×D311yescharacteristic
990C2×C4⋊C4C22×D311yescharacteristic
991C2×C4⋊C4C22×D311yescharacteristic
992C2×C4⋊C4C22×D311yescharacteristic
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—31no—
1042C2×C22⋊C4—31no—
1043C2×C22⋊C4—31no—
1044C2×C22⋊C4—64no—
1045C2×C22⋊C4—64no—
1046C2×C22⋊C4—122no—
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42C22×D311yescharacteristic
1058C2×C42C22×D311yescharacteristic
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95C22×D311yescharacteristic
1074#95C22×D311yescharacteristic
1075#95C22×D311yescharacteristic
1076#95C22×D311yescharacteristic
1077#95C22×D311yescharacteristic
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084#95C22×D311yescharacteristic
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3H(5,𝔽2)12yes—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C3C2511yescharacteristic
1100C22×D3—28no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—44no—
1154C22×D3—44no—
1155C22×D3—44no—
1156C22×D3—44no—
1157C22×D3—44no—
1158C22×D3—44no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—82no—
1169C22×D3—82no—
1170C22×D3—82no—
1171C22×D3—82no—
1172C22×D3—82no—
1173C22×D3—82no—
1174C22×D3—82no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3—82no—
1179C22×D3—82no—
1180C22×D3C22×D412yes—
1181C22×D3C22×D412yes—
1182C22×D3C22×D412yes—
1183C22×D3H(5,𝔽2)12yes—
1184C3×D4—44no—
1185C2×C3×C4—28no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—21no—
1221C2×C3×C4—44no—
1222C2×C3×C4—44no—
1223C2×C3×C4C22×D412yes—
1224C2×C3×C4C22×D412yes—
1225C2×C3×C4C22×D412yes—
1226C2×C3×C4H(5,𝔽2)12yes—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—82no—
1231#67—82no—
1232#67—82no—
1233#67—82no—
1234#67—82no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—44no—
1259C2×Dic3C22×D412yes—
1260D12—44no—
1261D12—44no—
1262D12—44no—
1263D12—44no—
1264D12—44no—
1265D12—44no—
1266D12—44no—
1267D12—44no—
1268D12—44no—
1269D12—44no—
1270D12—44no—
1271D12—44no—
1272D12—44no—
1273D12—82no—
1274D12—82no—
1275D12—82no—
1276D12—82no—
1277D12—82no—
1278D12—82no—
1279D12—82no—
1280D12—82no—
1281D12—82no—
1282D12—82no—
1283D12—82no—
1284C4×D3—44no—
1285C4×D3—44no—
1286C4×D3—44no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—82no—
1290C4×D3—82no—
1291C4×D3—82no—
1292C24—31no—
1293C24—31no—
1294C24—31no—
1295C24—31no—
1296C24—31no—
1297C24—31no—
1298C24—31no—
1299C24—31no—
1300C24—62no—
1301C24—62no—
1302C24—62no—
1303C24—62no—
1304C24—62no—
1305C24—62no—
1306C24—62no—
1307C24—62no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—62no—
1313C24—62no—
1314C24—121no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24—121no—
1322C24—121no—
1323C24—121no—
1324C24—121no—
1325C24—121no—
1326C24—121no—
1327C24—121no—
1328C24C23×D311yescharacteristic
1329C24C23×D311yescharacteristic
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—34no—
1334C2×D4—34no—
1335C2×D4—34no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—1216no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—1216no—
1417C2×D4—1216no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—121no—
1431C2×D4—121no—
1432C2×D4—1216no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—31no—
1441C22×C4—34no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—31no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—62no—
1452C22×C4—62no—
1453C22×C4—62no—
1454C22×C4—62no—
1455C22×C4—62no—
1456C22×C4—62no—
1457C22×C4—62no—
1458C22×C4—62no—
1459C22×C4—62no—
1460C22×C4—121no—
1461C22×C4—121no—
1462C22×C4—121no—
1463C22×C4—121no—
1464C22×C4—121no—
1465C22×C4—121no—
1466C22×C4—121no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—121no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—1216no—
1477C22×C4—121no—
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C22×C4C23×D311yescharacteristic
1488C22×C4C23×D311yescharacteristic
1489C22×C4C23×D311yescharacteristic
1490C22×C4C23×D311yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—41no—
1498C4⋊C4—62no—
1499C4⋊C4—62no—
1500C4⋊C4—62no—
1501C4⋊C4—121no—
1502C4⋊C4—121no—
1503C4⋊C4—121no—
1504C4⋊C4—121no—
1505C4⋊C4—121no—
1506C4⋊C4—121no—
1507C4⋊C4D3×D414yescomplemented
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—34no—
1516C22⋊C4—34no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
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—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—121no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C22⋊C4—121no—
1562C22⋊C4—121no—
1563C22⋊C4—121no—
1564C22⋊C4—121no—
1565C22⋊C4—121no—
1566C22⋊C4—121no—
1567C22⋊C4—121no—
1568C42—22no—
1569C42—41no—
1570C42—121no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3#56014yescomplemented
1585C22×C3C23×D411yescharacteristic
1586C22×C3C2×H(5,𝔽2)11yescharacteristic
1587C22×C3C2×H(5,𝔽2)11yescharacteristic
1588C22×C3C2×H(5,𝔽2)11yescharacteristic
1589C22×C3C2×H(5,𝔽2)11yescharacteristic
1590C22×C3C2×H(5,𝔽2)11yescharacteristic
1591C22×C3#58511yescharacteristic
1592C2×D3—22no—
1593C2×D3—22no—
1594C2×D3—22no—
1595C2×D3—22no—
1596C2×D3—22no—
1597C2×D3—22no—
1598C2×D3—22no—
1599C2×D3—22no—
1600C2×D3—22no—
1601C2×D3—22no—
1602C2×D3—22no—
1603C2×D3—22no—
1604C2×D3—416no—
1605C2×D3—41no—
1606C2×D3—41no—
1607C2×D3—41no—
1608C2×D3—41no—
1609C2×D3—41no—
1610C2×D3—41no—
1611C2×D3—41no—
1612C2×D3—41no—
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—88no—
1650C2×D3—88no—
1651C2×D3—88no—
1652C3×C4—22no—
1653C3×C4—22no—
1654C3×C4—22no—
1655C3×C4—22no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660C3×C4—41no—
1661C3×C4—41no—
1662C3×C4—41no—
1663C3×C4—41no—
1664C3×C4—41no—
1665Dic3—22no—
1666Dic3—41no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672Dic3—41no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—32no—
1685C23—32no—
1686C23—32no—
1687C23—32no—
1688C23—68no—
1689C23—61no—
1690C23—61no—
1691C23—61no—
1692C23—61no—
1693C23—61no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—61no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—61no—
1741C23—124no—
1742C23—124no—
1743C23—124no—
1744C23—124no—
1745C23—124no—
1746C23—124no—
1747C23—124no—
1748C23—124no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—124no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—242no—
1757C23—242no—
1758C23—242no—
1759C23—242no—
1760C23—242no—
1761C23—242no—
1762C23—242no—
1763C23—242no—
1764C23—242no—
1765C23—242no—
1766C23—242no—
1767C23—242no—
1768C23#100912yes—
1769C23#100912yes—
1770C23#100912yes—
1771C23C24×D311yescharacteristic
1772D4—44no—
1773D4—124no—
1774D4—124no—
1775D4—124no—
1776D4—124no—
1777D4—124no—
1778D4—124no—
1779D4—124no—
1780D4—124no—
1781D4—124no—
1782D4—124no—
1783D4—124no—
1784D4—124no—
1785D4—124no—
1786D4—124no—
1787D4—124no—
1788D4—124no—
1789D4—242no—
1790D4—242no—
1791D4—242no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795D4—242no—
1796D4—242no—
1797D4—242no—
1798D4—242no—
1799D4—242no—
1800D4—242no—
1801D4—242no—
1802D4—242no—
1803D4—242no—
1804D4—242no—
1805C2×C4—28no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—32no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—124no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—242no—
1874C2×C4—242no—
1875C2×C4—242no—
1876C2×C4C2×D3×D412yes—
1877C2×C4C2×D3×D412yes—
1878C2×C4C2×D3×D412yes—
1879C2×C4#100912yes—
1880C2×C3—24no—
1881C2×C3—81no—
1882C2×C3#348411yescharacteristic
1883C2×C3#348411yescharacteristic
1884C2×C3#348811yescharacteristic
1885C2×C3C2×#56011yescharacteristic
1886C2×C3#353411yescharacteristic
1887C2×C3#353711yescharacteristic
1888C2×C3#354211yescharacteristic
1889D3—42no—
1890D3—42no—
1891D3—42no—
1892D3—42no—
1893D3—81no—
1894D3—81no—
1895D3—81no—
1896D3—81no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—62no—
1911C22—62no—
1912C22—62no—
1913C22—62no—
1914C22—62no—
1915C22—62no—
1916C22—62no—
1917C22—62no—
1918C22—62no—
1919C22—62no—
1920C22—62no—
1921C22—62no—
1922C22—1216no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22—121no—
1928C22—121no—
1929C22—121no—
1930C22—121no—
1931C22—121no—
1932C22—121no—
1933C22—121no—
1934C22—121no—
1935C22—121no—
1936C22—121no—
1937C22—121no—
1938C22—121no—
1939C22—121no—
1940C22—121no—
1941C22—121no—
1942C22—121no—
1943C22—121no—
1944C22—121no—
1945C22—121no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—121no—
1967C22—248no—
1968C22—248no—
1969C22—248no—
1970C22#571114yescomplemented
1971C22C22×D3×D411yescharacteristic
1972C22C2×#100911yescharacteristic
1973C22C2×#100911yescharacteristic
1974C22C2×#100911yescharacteristic
1975C22C2×#100911yescharacteristic
1976C22D3×H(5,𝔽2)11yescharacteristic
1977C22#596811yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—41no—
1986C4—41no—
1987C4—41no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—62no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C4—121no—
1997C4—121no—
1998C4—121no—
1999C3#4544411yescharacteristic, complemented, Sylow
2000C2—24no—
2001C2—81no—
2002C2—122no—
2003C2—122no—
2004C2—122no—
2005C2—122no—
2006C2—241no—
2007C2—241no—
2008C2—241no—
2009C2—241no—
2010C2#8603911yescharacteristic
2011C2C2×#571111yescharacteristic
2012C2#8645811yescharacteristic
2013C2#8666211yescharacteristic
2014C2#8671311yescharacteristic
2015C2#8684611yescharacteristic
2016C2#8691611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2481C2
hypercenter#2481D3
hypocenterC3#45444
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#5711C2semidirect
2. C22×#895C2semidirect
3. C3×#2481C2semidirect
4. #83117C2semidirect
5. #82195C2semidirect
6. #78401C2semidirect
7. #78365C2semidirect
8. #78365C2semidirect
9. #78241C2semidirect
10. #77729C2semidirect
11. #77689C2semidirect
12. #77430C2semidirect
13. #77428C2semidirect
14. #75924C2semidirect
15. #75912C2semidirect
16. #75387C2semidirect
17. #75387C2semidirect
18. #75313C2semidirect
19. #75150C2semidirect
20. #74935C2semidirect
21. #74893C2semidirect
22. #74888C2semidirect
23. #74887C2semidirect
24. #74884C2semidirect
25. #74884C2semidirect
26. #74656C2semidirect
27. #74601C2semidirect
28. #74018C2semidirect
29. #74016C2semidirect
30. #73596C2semidirect
31. #73587C2semidirect
36. C23×D12C22semidirect
37. C23×C4×D3C22semidirect
38. C2×C3×#126C22semidirect
39. C22×C3×C4⋊C4C22semidirect
44. C2×C4×#67C22semidirect
46. C22×(C2×D3)⋊C4C22semidirect
53. C2×#895C22semidirect
54. C2×#895C22semidirect
55. C2×#895C22semidirect
56. C2×#895C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
59. C2×#895C22semidirect
60. C2×#895C22semidirect
61. C2×#894C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
64. C2×#894C22semidirect
65. C2×#884C22semidirect
66. C2×#884C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
69. C2×#884C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#882C22semidirect
77. C2×#882C22semidirect
78. C2×#882C22semidirect
79. C2×#882C22semidirect
80. C2×D3×C22⋊C4C22semidirect
81. C2×#876C22semidirect
82. C2×#874C22semidirect
83. C2×#874C22semidirect
84. C3×#400C22semidirect
85. C3×#400C22semidirect
86. C3×#397C22semidirect
87. C3×#396C22semidirect
88. C3×#388C22semidirect
89. C3×#387C22semidirect
90. C3×#387C22semidirect
94. C3×#385C22semidirect
95. C3×#380C22semidirect
96. C3×C4×C22⋊C4C22semidirect
99. #5213C22semidirect
100. #5210C22semidirect
101. #4993C22semidirect
102. #4992C22semidirect
103. #4992C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4990C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4988C22semidirect
114. #4988C22semidirect
115. #4982C22semidirect
116. #4980C22semidirect
117. #4961C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4959C22semidirect
128. #4957C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
133. #4955C22semidirect
134. #4955C22semidirect
135. #4946C22semidirect
136. #4942C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4939C22semidirect
141. #4939C22semidirect
142. #4676C22semidirect
143. #4676C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4675C22semidirect
147. #4675C22semidirect
148. #4672C22semidirect
149. #4672C22semidirect
150. #4672C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
153. #4672C22semidirect
154. #4672C22semidirect
155. #4671C22semidirect
156. #4671C22semidirect
157. #4671C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4671C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4671C22semidirect
167. #4671C22semidirect
168. #4669C22semidirect
169. #4668C22semidirect
170. #4667C22semidirect
171. #4667C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4664C22semidirect
188. #4664C22semidirect
189. #4664C22semidirect
208. #2481D3semidirect
385. #895D4semidirect
444. C2×#126C2×D3semidirect
482. C22×C4⋊C4C2×D3semidirect
486. #400C2×D3semidirect
487. #400C2×D3semidirect
496. #397C2×D3semidirect
499. #396C2×D3semidirect
544. #388C2×D3semidirect
546. #387C2×D3semidirect
547. #387C2×D3semidirect
579. #385C2×D3semidirect
586. #380C2×D3semidirect
591. C4×C22⋊C4C2×D3semidirect
765. C2×D12C2×D4semidirect
790. C2×C4×D3C2×D4semidirect
798. C3×C4⋊C4C2×D4semidirect
860. (C2×D3)⋊C4C2×D4semidirect
1507. C4⋊C4D3×D4semidirect
1584. C22×C3#560semidirect
1970. C22#5711semidirect
1999. C3#45444semidirect

Maximal subgroups

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

subgroupindex
C2×#57112
C22×#8952
C3×#24812
#831172
#821952
#784012
#783652
#782412
#777292
#776892
#774302
#774282
#759242
#759122
#753872
#753132
#751502
#749352
#748932
#748882
#748872
#748842
#746562
#746012
#740182
#740162
#735962
#735872
#454443