Finite Group Databasebeta

← #11203805

Subgroups — #11203805

Order 768.

2958 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5654C211yesmaximal, characteristic, complemented
2C2×#5657C211yesmaximal, characteristic, complemented
3C3×#2706C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82853C211yesmaximal, characteristic, complemented
6#78116C211yesmaximal, characteristic, complemented
7#78019C211yesmaximal, characteristic, complemented
8#77986C211yesmaximal, characteristic, complemented
9#77753C211yesmaximal, characteristic, complemented
10#77690C211yesmaximal, characteristic, complemented
11#77536C211yesmaximal, characteristic, complemented
12#77416C211yesmaximal, characteristic, complemented
13#77370C211yesmaximal, characteristic, complemented
14#77127C211yesmaximal, characteristic, complemented
15#77113C211yesmaximal, characteristic, complemented
16#76753C211yesmaximal, characteristic, complemented
17#76671C211yesmaximal, characteristic, complemented
18#76371C211yesmaximal, characteristic, complemented
19#76314C211yesmaximal, characteristic, complemented
20#75912C211yesmaximal, characteristic, complemented
21#75483C211yesmaximal, characteristic, complemented
22#74898C211yesmaximal, characteristic, complemented
23#74888C211yesmaximal, characteristic, complemented
24#74878C211yesmaximal, characteristic, complemented
25#74700C211yesmaximal, characteristic, complemented
26#74627C211yesmaximal, characteristic, complemented
27#74596C211yesmaximal, characteristic, complemented
28#74181C211yesmaximal, characteristic, complemented
29#74153C211yesmaximal, characteristic, complemented
30#74021C211yesmaximal, characteristic, complemented
31#74015C211yesmaximal, characteristic, complemented
32#44228—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×#235C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#123C2211yescharacteristic, complemented
38C2×#940C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic, complemented
42C2×#938C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
51#5657—28no—
52#5654—28no—
53C2×#898C2211yescharacteristic, complemented
54C2×#897C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic, complemented
61C2×#893C2211yescharacteristic, complemented
62C2×#893C2211yescharacteristic, complemented
63C2×#893C2211yescharacteristic, complemented
64C2×#893C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic, complemented
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic, complemented
82C2×D3×C22⋊C4C2211yescharacteristic, complemented
83C2×#879C2211yescharacteristic, complemented
84C2×#874C2211yescharacteristic
85C3×#399C2211yescharacteristic, complemented
86C3×#398C2211yescharacteristic, complemented
87C3×#397C2211yescharacteristic, complemented
88C3×#396C2211yescharacteristic, complemented
89C3×#394C2211yescharacteristic, complemented
90C3×#392C2211yescharacteristic
91C3×#390C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic, complemented
94C3×#386C2211yescharacteristic, complemented
95C3×#385C2211yescharacteristic, complemented
96C3×#382C2211yescharacteristic, complemented
97C3×#380C2211yescharacteristic, complemented
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic
116#4988C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4988C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4973C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157#4932C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4671C2211yescharacteristic
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4648C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2732—31no—
193#2730—31no—
194#2706D311yescharacteristic, complemented
195#2685—31no—
196#2678—31no—
197#2671—31no—
198#2669—31no—
199#2668—31no—
200#2603—31no—
201#2603—31no—
202#2553—31no—
203#2539—31no—
204#2464—31no—
205#2464—31no—
206#2456—31no—
207#2433—31no—
208#2431—31no—
209#2428—31no—
210#2424—31no—
211#2424—31no—
212#2418—31no—
213#2410—31no—
214#2407—31no—
215#2403—31no—
216#2397—31no—
217#2372—31no—
218#2358—31no—
219D4×C22⋊C4—31no—
220#2328—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×D3×D4—24no—
244C2×D3×D4—24no—
245C2×D3×D4—42no—
246C2×D3×D4—42no—
247C2×D3×D4—42no—
248C2×D3×D4—42no—
249C2×#235—24no—
250C2×#235—42no—
251C2×#235—42no—
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C3×#123—24no—
274C3×#123—24no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#940—42no—
305#939—24no—
306#939—42no—
307#939—42no—
308#938—24no—
309#937—24no—
310#937—42no—
311#930—24no—
312#929—42no—
313C4×#67—24no—
314C4×#67—42no—
315C2×(C2×D3)⋊C4—24no—
316C2×(C2×D3)⋊C4—42no—
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#898—24no—
377#897—24no—
378#896—24no—
379#895—24no—
380#895—42no—
381#895—42no—
382#894—24no—
383#894—24no—
384#893—24no—
385#893—24no—
386#893—42no—
387#893—42no—
388#885—24no—
389#885D418yescomplemented
390#884—24no—
391#884—24no—
392#884—42no—
393#882—24no—
394#882—24no—
395#882—24no—
396#882—24no—
397#882—42no—
398#882—42no—
399#882—42no—
400#882—42no—
401#67⋊C4—24no—
402#67⋊C4—42no—
403#67⋊C4—42no—
404D3×C22⋊C4—24no—
405D3×C22⋊C4—24no—
406#879—24no—
407#874—24no—
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C22×#41—31no—
433C23×D4—31no—
434C23×D4—31no—
435#546—68no—
436#538—68no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#126—31no—
440C2×#126—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123C2×D311yescharacteristic, complemented
447C2×#123C2×D311yescharacteristic, complemented
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—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×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×C4×D4—31no—
478C2×C4×D4—31no—
479C2×C4×D4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482C22×C22⋊C4—31no—
483C22×C22⋊C4—31no—
484#399—31no—
485#399—31no—
486#399—31no—
487#399—31no—
488#399C2×D311yescharacteristic, complemented
489#398—31no—
490#398—31no—
491#398C2×D311yescharacteristic, complemented
492#397—31no—
493#397—31no—
494#397C2×D311yescharacteristic, complemented
495#396—31no—
496#396—31no—
497#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic, complemented
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392C2×D311yescharacteristic
524#391—31no—
525#391—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#390C2×D311yescharacteristic, complemented
536#389—31no—
537#388—31no—
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#388C2×D311yescharacteristic, complemented
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386C2×D311yescharacteristic, complemented
568#386C2×D311yescharacteristic, complemented
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#385—31no—
575#385C2×D311yescharacteristic, complemented
576#382C2×D311yescharacteristic, complemented
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579#379—31no—
580#379—31no—
581#379—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587#376—31no—
588#376—31no—
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—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—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67C2×D414yes—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—41no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698D3×D4—416no—
699D3×D4—416no—
700#235—416no—
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—22no—
715C2×D12—22no—
716C2×D12—22no—
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—41no—
736C2×D12#4114yescomplemented
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×Dic6—41no—
762C2×Dic6—41no—
763C2×Dic6C2×D414yescomplemented
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—41no—
769C3×C4⋊C4—41no—
770C3×C4⋊C4—41no—
771C3×C4⋊C4—41no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4C2×D414yescomplemented
785C3×C42—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—41no—
791#217—41no—
792#217C2×D414yescomplemented
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4C2×D414yes—
832(C2×D3)⋊C4C2×D414yes—
833C4⋊Dic3—22no—
834C4⋊Dic3—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—41no—
842Dic3⋊C4—41no—
843Dic3⋊C4—41no—
844Dic3⋊C4—41no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—41no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3C2×D414yescomplemented
852C25—31no—
853C25—31no—
854C25—31no—
855C2×#41—64no—
856C2×#41—122no—
857C2×#41—122no—
858C22×Q8—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—64no—
884C22×D4—64no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4C22×D311yescharacteristic
903C23×C4C22×D311yescharacteristic
904#127—64no—
905#127—122no—
906#126—64no—
907#126—64no—
908#124—38no—
909#124—64no—
910#123—24no—
911#123—24no—
912#123—64no—
913#123—64no—
914#123—122no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923#121—122no—
924#121—122no—
925#121—122no—
926#121—122no—
927#121—122no—
928#120—64no—
929#120—64no—
930#120—64no—
931#120—64no—
932#120—64no—
933#120—122no—
934#120—122no—
935#120—122no—
936#120—122no—
937#120—122no—
938C4×D4—64no—
939C4×D4—64no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—122no—
943C4×D4—122no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×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—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—122no—
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42—31no—
1038C2×C42C22×D311yescharacteristic
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3C22×D412yes—
1083C23×C3H(5,𝔽2)12yes—
1084C23×C3C2511yescharacteristic
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3—82no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3C22×D412yes—
1145C22×D3C2×#4112yes—
1146C22×D3C2×#4112yes—
1147C22×D3H(5,𝔽2)12yes—
1148C3×D4—44no—
1149C3×D4—44no—
1150C3×D4—82no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—44no—
1185C2×C3×C4—82no—
1186C2×C3×C4C22×D412yes—
1187C2×C3×C4C22×D412yes—
1188C2×C3×C4C2×#4112yes—
1189#67—28no—
1190#67—28no—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—82no—
1197#67—82no—
1198#67—82no—
1199#67—82no—
1200#67—82no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—82no—
1227C2×Dic3—82no—
1228C2×Dic3C22×D412yes—
1229C2×Dic3C22×D412yes—
1230C2×Dic3C22×D412yes—
1231C2×Dic3H(5,𝔽2)12yes—
1232C2×Dic3H(5,𝔽2)12yes—
1233D12—44no—
1234D12—44no—
1235D12—44no—
1236D12—44no—
1237D12—44no—
1238D12—44no—
1239D12—44no—
1240D12—82no—
1241D12—82no—
1242D12—82no—
1243D12—82no—
1244D12—82no—
1245C4×D3—44no—
1246C4×D3—44no—
1247C4×D3—44no—
1248C4×D3—44no—
1249C4×D3—82no—
1250C4×D3—82no—
1251C4×D3—82no—
1252C4×D3—82no—
1253Dic6—44no—
1254C24—31no—
1255C24—31no—
1256C24—31no—
1257C24—31no—
1258C24—31no—
1259C24—31no—
1260C24—62no—
1261C24—62no—
1262C24—62no—
1263C24—62no—
1264C24—62no—
1265C24—62no—
1266C24—62no—
1267C24—62no—
1268C24—121no—
1269C24—121no—
1270C24—121no—
1271C24—121no—
1272C24—121no—
1273C24—121no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24C23×D311yescharacteristic
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284#41—1216no—
1285C2×Q8—34no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—34no—
1294C2×D4—34no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—1216no—
1370C2×D4—1216no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
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×C4C23×D311yescharacteristic
1418C22×C4C23×D311yescharacteristic
1419C22×C4C23×D311yescharacteristic
1420C22×C4C23×D311yescharacteristic
1421C22×C4C23×D311yescharacteristic
1422C22×C4C23×D311yescharacteristic
1423C22×C4C23×D311yescharacteristic
1424C22×C4C23×D311yescharacteristic
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—62no—
1438C4⋊C4—62no—
1439C4⋊C4—62no—
1440C4⋊C4—62no—
1441C4⋊C4—62no—
1442C4⋊C4—62no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—121no—
1446C4⋊C4—121no—
1447C4⋊C4—121no—
1448C4⋊C4—121no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—34no—
1455C22⋊C4—34no—
1456C22⋊C4—34no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4D3×D414yescomplemented
1509C42—22no—
1510C42—34no—
1511C42—62no—
1512C42—62no—
1513C42—62no—
1514C42—121no—
1515C42—121no—
1516C42—121no—
1517C22×C3—22no—
1518C22×C3—22no—
1519C22×C3—22no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3C23×D411yescharacteristic
1539C22×C3C22×#4111yescharacteristic
1540C22×C3C2×H(5,𝔽2)11yescharacteristic
1541C22×C3C2×H(5,𝔽2)11yescharacteristic
1542C22×C3C2×H(5,𝔽2)11yescharacteristic
1543C22×C3C2×H(5,𝔽2)11yescharacteristic
1544C22×C3#58511yescharacteristic
1545C2×D3—22no—
1546C2×D3—22no—
1547C2×D3—22no—
1548C2×D3—22no—
1549C2×D3—22no—
1550C2×D3—22no—
1551C2×D3—22no—
1552C2×D3—22no—
1553C2×D3—22no—
1554C2×D3—22no—
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—88no—
1588C2×D3—88no—
1589C2×D3—88no—
1590C3×C4—22no—
1591C3×C4—22no—
1592C3×C4—22no—
1593C3×C4—41no—
1594C3×C4—41no—
1595C3×C4—41no—
1596C3×C4—41no—
1597C3×C4—41no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602Dic3—22no—
1603Dic3—22no—
1604Dic3—22no—
1605Dic3—22no—
1606Dic3—22no—
1607Dic3—41no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—32no—
1632C23—32no—
1633C23—32no—
1634C23—32no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—124no—
1674C23—124no—
1675C23—124no—
1676C23—124no—
1677C23—124no—
1678C23—124no—
1679C23—124no—
1680C23—124no—
1681C23—242no—
1682C23—242no—
1683C23—242no—
1684C23—242no—
1685C23—242no—
1686C23—242no—
1687C23—242no—
1688C23—242no—
1689C23—242no—
1690C23—242no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23C2×D3×D412yes—
1695C23#100912yes—
1696C23C24×D311yescharacteristic
1697Q8—124no—
1698D4—44no—
1699D4—44no—
1700D4—68no—
1701D4—68no—
1702D4—82no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—242no—
1716D4—242no—
1717D4—242no—
1718D4—242no—
1719D4—242no—
1720D4—242no—
1721D4—242no—
1722D4—242no—
1723D4—242no—
1724D4—242no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—32no—
1759C2×C4—32no—
1760C2×C4—32no—
1761C2×C4—32no—
1762C2×C4—32no—
1763C2×C4—44no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—82no—
1790C2×C4—124no—
1791C2×C4—124no—
1792C2×C4—124no—
1793C2×C4—124no—
1794C2×C4—242no—
1795C2×C4—242no—
1796C2×C4—242no—
1797C2×C4—242no—
1798C2×C4—242no—
1799C2×C4—242no—
1800C2×C4C2×D3×D412yes—
1801C2×C4C2×D3×D412yes—
1802C2×C4D3×#4112yes—
1803C2×C3—42no—
1804C2×C3—42no—
1805C2×C3—81no—
1806C2×C3D4×#4111yescharacteristic
1807C2×C3#348411yescharacteristic
1808C2×C3#349011yescharacteristic
1809C2×C3#349811yescharacteristic
1810C2×C3#351911yescharacteristic
1811C2×C3#353411yescharacteristic
1812C2×C3#354211yescharacteristic
1813D3—42no—
1814D3—42no—
1815D3—42no—
1816D3—42no—
1817D3—81no—
1818D3—81no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—62no—
1841C22—62no—
1842C22—62no—
1843C22—62no—
1844C22—62no—
1845C22—62no—
1846C22—62no—
1847C22—62no—
1848C22—62no—
1849C22—62no—
1850C22—62no—
1851C22—62no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—248no—
1883C22—248no—
1884C22—248no—
1885C22C22×D3×D411yescharacteristic
1886C22C2×D3×#4111yescharacteristic
1887C22C2×#100911yescharacteristic
1888C22D3×H(5,𝔽2)11yescharacteristic
1889C22D3×H(5,𝔽2)11yescharacteristic
1890C22D3×H(5,𝔽2)11yescharacteristic
1891C22#596811yescharacteristic
1892C4—22no—
1893C4—22no—
1894C4—22no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—62no—
1905C4—62no—
1906C4—62no—
1907C4—62no—
1908C4—62no—
1909C4—121no—
1910C4—121no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C3#4422811yescharacteristic, complemented, Sylow
1915C2—42no—
1916C2—42no—
1917C2—81no—
1918C2—122no—
1919C2—122no—
1920C2—122no—
1921C2—122no—
1922C2—241no—
1923C2—241no—
1924C2#8631611yescharacteristic
1925C2#8645911yescharacteristic
1926C2#8648811yescharacteristic
1927C2#8666211yescharacteristic
1928C2#8667411yescharacteristic
1929C2#8681511yescharacteristic
1930C2#8709711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2706C2
hypercenter#2706D3
hypocenterC3#44228
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2706

Complements

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

NH ≅ G/Ntype
1. C2×#5654C2semidirect
2. C2×#5657C2semidirect
3. C3×#2706C2semidirect
4. #82901C2semidirect
5. #82853C2semidirect
6. #78116C2semidirect
7. #78019C2semidirect
8. #77986C2semidirect
9. #77753C2semidirect
10. #77690C2semidirect
11. #77536C2semidirect
12. #77416C2semidirect
13. #77370C2semidirect
14. #77127C2semidirect
15. #77113C2semidirect
16. #76753C2semidirect
17. #76671C2semidirect
18. #76371C2semidirect
19. #76314C2semidirect
20. #75912C2semidirect
21. #75483C2semidirect
22. #74898C2semidirect
23. #74888C2semidirect
24. #74878C2semidirect
25. #74700C2semidirect
26. #74627C2semidirect
27. #74596C2semidirect
28. #74181C2semidirect
29. #74153C2semidirect
30. #74021C2semidirect
31. #74015C2semidirect
35. C22×#235C22semidirect
36. C2×C3×#123C22semidirect
37. C2×C3×#123C22semidirect
38. C2×#940C22semidirect
39. C2×#939C22semidirect
40. C2×#939C22semidirect
41. C2×#939C22semidirect
42. C2×#938C22semidirect
46. C2×#929C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
50. C22×(C2×D3)⋊C4C22semidirect
53. C2×#898C22semidirect
54. C2×#897C22semidirect
55. C2×#896C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
60. C2×#894C22semidirect
61. C2×#893C22semidirect
62. C2×#893C22semidirect
63. C2×#893C22semidirect
64. C2×#893C22semidirect
66. C2×#885C22semidirect
68. C2×#884C22semidirect
69. C2×#884C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#882C22semidirect
77. C2×#882C22semidirect
78. C2×#67⋊C4C22semidirect
79. C2×#67⋊C4C22semidirect
80. C2×#67⋊C4C22semidirect
81. C2×D3×C22⋊C4C22semidirect
82. C2×D3×C22⋊C4C22semidirect
83. C2×#879C22semidirect
85. C3×#399C22semidirect
86. C3×#398C22semidirect
87. C3×#397C22semidirect
88. C3×#396C22semidirect
89. C3×#394C22semidirect
91. C3×#390C22semidirect
92. C3×#388C22semidirect
93. C3×#386C22semidirect
94. C3×#386C22semidirect
95. C3×#385C22semidirect
96. C3×#382C22semidirect
97. C3×#380C22semidirect
100. #5220C22semidirect
101. #5213C22semidirect
102. #4994C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4993C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4990C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
116. #4988C22semidirect
117. #4988C22semidirect
118. #4988C22semidirect
119. #4983C22semidirect
120. #4982C22semidirect
121. #4973C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
136. #4958C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
148. #4955C22semidirect
149. #4952C22semidirect
150. #4946C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
153. Dic3×C22⋊C4C22semidirect
154. Dic3×C22⋊C4C22semidirect
155. #4940C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. #4932C22semidirect
158. #4676C22semidirect
159. #4675C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4669C22semidirect
167. #4669C22semidirect
168. #4669C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4667C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4652C22semidirect
187. #4648C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
194. #2706D3semidirect
389. #885D4semidirect
446. C2×#123C2×D3semidirect
447. C2×#123C2×D3semidirect
488. #399C2×D3semidirect
491. #398C2×D3semidirect
494. #397C2×D3semidirect
497. #396C2×D3semidirect
508. #394C2×D3semidirect
535. #390C2×D3semidirect
546. #388C2×D3semidirect
567. #386C2×D3semidirect
568. #386C2×D3semidirect
575. #385C2×D3semidirect
576. #382C2×D3semidirect
578. #380C2×D3semidirect
736. C2×D12#41semidirect
763. C2×Dic6C2×D4semidirect
784. C3×C22⋊C4C2×D4semidirect
792. #217C2×D4semidirect
851. C4×Dic3C2×D4semidirect
1508. C22⋊C4D3×D4semidirect
1914. C3#44228semidirect

Maximal subgroups

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

subgroupindex
C2×#56542
C2×#56572
C3×#27062
#829012
#828532
#781162
#780192
#779862
#777532
#776902
#775362
#774162
#773702
#771272
#771132
#767532
#766712
#763712
#763142
#759122
#754832
#748982
#748882
#748782
#747002
#746272
#745962
#741812
#741532
#740212
#740152
#442283