Finite Group Databasebeta

← #11167545

Subgroups — #11167545

Order 768.

3066 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5609C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2444C211yesmaximal, characteristic, complemented
4#82642C211yesmaximal, characteristic, complemented
5D4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6#78179C211yesmaximal, characteristic, complemented
7#78138C211yesmaximal, characteristic, complemented
8#77695C211yesmaximal, characteristic, complemented
9#77692C211yesmaximal, characteristic, complemented
10#77690C211yesmaximal, characteristic, complemented
11#77689C211yesmaximal, characteristic, complemented
12#76905C211yesmaximal, characteristic, complemented
13#76903C211yesmaximal, characteristic, complemented
14#75920C211yesmaximal, characteristic, complemented
15#75597C211yesmaximal, characteristic, complemented
16#75389C211yesmaximal, characteristic, complemented
17#75330C211yesmaximal, characteristic, complemented
18#74928C211yesmaximal, characteristic, complemented
19#74893C211yesmaximal, characteristic, complemented
20#74888C211yesmaximal, characteristic, complemented
21#74888C211yesmaximal, characteristic, complemented
22#74888C211yesmaximal, characteristic, complemented
23#74879C211yesmaximal, characteristic, complemented
24#74874C211yesmaximal, characteristic, complemented
25#74727C211yesmaximal, characteristic, complemented
26#74601C211yesmaximal, characteristic, complemented
27#74421C211yesmaximal, characteristic, complemented
28#74131C211yesmaximal, characteristic, complemented
29#74097C211yesmaximal, characteristic, complemented
30C2×#4672C211yesmaximal, characteristic, complemented
31#73338C211yesmaximal, characteristic, complemented
32#43019—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#939C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
55C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
56C22×Dic3⋊C4C2211yescharacteristic, complemented
57#5609—28no—
58#5560—28no—
59C2×#898C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×#893C2211yescharacteristic
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic, complemented
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C2×#876C2211yescharacteristic, complemented
82C2×#875C2211yescharacteristic, complemented
83C3×#400C2211yescharacteristic, complemented
84C3×#397C2211yescharacteristic, complemented
85C3×#397C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93C3×#385C2211yescharacteristic, complemented
94C3×#381C2211yescharacteristic, complemented
95C2×C3×#95C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101C4×#217C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic, complemented
106#4988C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4960C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4960C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic, complemented
123#4958C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4955C2211yescharacteristic, complemented
132#4955C2211yescharacteristic, complemented
133#4955C2211yescharacteristic, complemented
134#4955C2211yescharacteristic, complemented
135#4955C2211yescharacteristic, complemented
136#4955C2211yescharacteristic, complemented
137#4948C2211yescharacteristic, complemented
138#4946C2211yescharacteristic, complemented
139#4942C2211yescharacteristic, complemented
140#4939C2211yescharacteristic, complemented
141C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4676C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4673C2211yescharacteristic, complemented
146#4672C2211yescharacteristic
147#4672C2211yescharacteristic
148#4672C2211yescharacteristic, complemented
149#4672C2211yescharacteristic, complemented
150#4672C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4672C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4672C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4671C2211yescharacteristic
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, 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#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×D42—31no—
191C2×#538—31no—
192#2709—31no—
193#2699—31no—
194#2691—31no—
195#2686—31no—
196#2685—31no—
197#2678—31no—
198#2676—31no—
199#2668—31no—
200#2559—31no—
201#2555—31no—
202#2534—31no—
203#2472—31no—
204#2466—31no—
205#2457—31no—
206#2449—31no—
207#2444D311yescharacteristic, complemented
208#2435—31no—
209#2428—31no—
210#2424—31no—
211#2416—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2410—31no—
216C2×#394—31no—
217#2364—31no—
218#2358—31no—
219D4×C22⋊C4—31no—
220#2308—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C2×D3×D4—24no—
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—24no—
249C2×D3×D4—24no—
250C2×D3×D4—42no—
251C2×D3×D4—42no—
252C2×D3×D4—42no—
253C2×D3×D4—42no—
254C22×D12—24no—
255C22×D12—42no—
256C22×D12—42no—
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×Dic6C2311yescharacteristic
275C3×#121—24no—
276C3×C4×D4—24no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊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×C42C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300#940—24no—
301#939—24no—
302#939—42no—
303#939—42no—
304#937—24no—
305#937D418yescomplemented
306D4×Dic3—42no—
307#930—24no—
308#930—24no—
309#929—24no—
310C4×#67—24no—
311C4×#67—24no—
312C2×(C2×D3)⋊C4—24no—
313C2×(C2×D3)⋊C4—42no—
314C2×(C2×D3)⋊C4—42no—
315C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382#898—24no—
383#896—42no—
384#895—24no—
385#895—42no—
386#895—42no—
387#894—24no—
388#893—24no—
389#885—24no—
390#885—42no—
391#884—24no—
392#884—24no—
393#884—24no—
394#884—42no—
395#882—24no—
396#882—24no—
397#882—24no—
398#882—42no—
399#882—42no—
400#882—42no—
401#67⋊C4—42no—
402D3×C22⋊C4—42no—
403#878—24no—
404#876—24no—
405#875—24no—
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436D42—68no—
437#538—68no—
438C2×#127—31no—
439C2×#126—31no—
440C2×#126—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—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×#121C2×D311yescharacteristic
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×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4C2×D311yescharacteristic, complemented
475C22×C4⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482#400C2×D311yescharacteristic, complemented
483#399—31no—
484#398—31no—
485#397—31no—
486#397C2×D311yescharacteristic, complemented
487#397C2×D311yescharacteristic, complemented
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394C2×D311yescharacteristic, complemented
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#389—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387—31no—
541#387C2×D311yescharacteristic, complemented
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—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#386C2×D311yescharacteristic, complemented
563#386C2×D311yescharacteristic, complemented
564#386C2×D311yescharacteristic, complemented
565#386C2×D311yescharacteristic, complemented
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#381—31no—
574#381C2×D311yescharacteristic, complemented
575#380—31no—
576#380—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C2×#95C2×D311yescharacteristic, complemented
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—22no—
601C23×D3—22no—
602C23×D3—22no—
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×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3C2×D414yes—
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—41no—
634C2×C3×D4C2×D414yes—
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×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
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×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67C2×D414yes—
687C2×#67C2×D414yes—
688C2×#67#4114yes—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708D3×D4—416no—
709D3×D4—416no—
710D3×D4—416no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—416no—
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—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
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×C4×D3—41no—
762C2×C4×D3—41no—
763C2×Dic6—22no—
764C2×Dic6—41no—
765C2×Dic6—41no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—41no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C42—22no—
782#217—22no—
783#217—22no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217C2×D414yes—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊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—
835C4⋊Dic3—41no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848C4×Dic3—22no—
849C4×Dic3—22no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C25—31no—
854C25—31no—
855C25—31no—
856C25—31no—
857C22×Q8—31no—
858C22×D4—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—64no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—64no—
884C22×D4—64no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4C22×D311yescharacteristic
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
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×C4—31no—
903C23×C4C22×D311yescharacteristic
904C23×C4C22×D311yescharacteristic
905C23×C4C22×D311yescharacteristic
906C23×C4C22×D311yescharacteristic
907#127—64no—
908#126—64no—
909#126—64no—
910#124—64no—
911#124—64no—
912#124—122no—
913#123—64no—
914#123—64no—
915C22⋊Q8—64no—
916C22⋊Q8—122no—
917#121—24no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—122no—
926#121—122no—
927#121—122no—
928#121—122no—
929#121—122no—
930#120—38no—
931#120—64no—
932#120—64no—
933#120—64no—
934#120—64no—
935#120—122no—
936#120—122no—
937#120—122no—
938C4×D4—24no—
939C4×D4—64no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—122no—
943C4×D4—122no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
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⋊C4—122no—
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—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—31no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—122no—
1017C2×C22⋊C4—122no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4—122no—
1020C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42C22×D311yescharacteristic
1038#95—31no—
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#95C22×D311yescharacteristic
1053#95C22×D311yescharacteristic
1054#95C22×D311yescharacteristic
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
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×C3C22×D412yes—
1082C23×C3C22×D412yes—
1083C23×C3C2×#4112yes—
1084C23×C3H(5,𝔽2)12yes—
1085C23×C3C2511yescharacteristic
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—28no—
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—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
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×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3C22×D412yes—
1153C22×D3C22×D412yes—
1154C22×D3C2×#4112yes—
1155C22×D3H(5,𝔽2)12yes—
1156C3×D4—28no—
1157C3×D4—44no—
1158C3×D4—44no—
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—21no—
1185C2×C3×C4—21no—
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—44no—
1194C2×C3×C4—82no—
1195C2×C3×C4—82no—
1196C2×C3×C4—82no—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4H(5,𝔽2)12yes—
1199#67—28no—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—82no—
1207#67—82no—
1208#67—82no—
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—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—44no—
1236C2×Dic3—82no—
1237C2×Dic3—82no—
1238C2×Dic3C22×D412yes—
1239C2×Dic3C22×D412yes—
1240C2×Dic3C2×#4112yes—
1241C2×Dic3H(5,𝔽2)12yes—
1242D12—28no—
1243D12—44no—
1244D12—44no—
1245D12—44no—
1246D12—44no—
1247D12—44no—
1248D12—82no—
1249D12—82no—
1250D12—82no—
1251D12—82no—
1252D12—82no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—44no—
1256C4×D3—82no—
1257C4×D3—82no—
1258C4×D3—82no—
1259Dic6—82no—
1260C24—31no—
1261C24—31no—
1262C24—31no—
1263C24—31no—
1264C24—34no—
1265C24—31no—
1266C24—31no—
1267C24—62no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24—121no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24C23×D311yescharacteristic
1295C24C23×D311yescharacteristic
1296C24C23×D311yescharacteristic
1297C2×Q8—62no—
1298C2×Q8—121no—
1299C2×Q8—121no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—34no—
1308C2×D4—34no—
1309C2×D4—34no—
1310C2×D4—41no—
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—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
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—1216no—
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—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—1216no—
1373C2×D4—1216no—
1374C2×D4—1216no—
1375C2×D4D3×D414yes—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—62no—
1399C22×C4—62no—
1400C22×C4—62no—
1401C22×C4—62no—
1402C22×C4—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—121no—
1410C22×C4—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—41no—
1441C4⋊C4—62no—
1442C4⋊C4—62no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—34no—
1462C22⋊C4—34no—
1463C22⋊C4—34no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
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—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
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⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C42—22no—
1519C42—62no—
1520C42—62no—
1521C42—121no—
1522C42—121no—
1523C42—121no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3#54614yes—
1545C22×C3C23×D411yescharacteristic
1546C22×C3C22×#4111yescharacteristic
1547C22×C3C2×H(5,𝔽2)11yescharacteristic
1548C22×C3C2×H(5,𝔽2)11yescharacteristic
1549C22×C3C2×H(5,𝔽2)11yescharacteristic
1550C22×C3C2×H(5,𝔽2)11yescharacteristic
1551C22×C3#58511yescharacteristic
1552C2×D3—22no—
1553C2×D3—22no—
1554C2×D3—22no—
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—22no—
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—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—88no—
1595C2×D3—88no—
1596C2×D3—88no—
1597C2×D3—88no—
1598C3×C4—22no—
1599C3×C4—22no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610Dic3—22no—
1611Dic3—22no—
1612Dic3—22no—
1613Dic3—22no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—32no—
1638C23—32no—
1639C23—32no—
1640C23—32no—
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—68no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—124no—
1681C23—124no—
1682C23—124no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23—242no—
1696C23—242no—
1697C23—242no—
1698C23—242no—
1699C23—242no—
1700C23—242no—
1701C23—242no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23C2×D3×D412yes—
1708C23C2×D3×D412yes—
1709C23D3×#4112yes—
1710C23#100912yes—
1711C23C24×D311yescharacteristic
1712Q8—242no—
1713D4—28no—
1714D4—44no—
1715D4—44no—
1716D4—68no—
1717D4—68no—
1718D4—124no—
1719D4—124no—
1720D4—124no—
1721D4—124no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—242no—
1730D4—242no—
1731D4—242no—
1732D4—242no—
1733D4—242no—
1734D4—242no—
1735D4—242no—
1736D4—242no—
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—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—32no—
1772C2×C4—32no—
1773C2×C4—32no—
1774C2×C4—32no—
1775C2×C4—44no—
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—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—82no—
1803C2×C4—82no—
1804C2×C4—82no—
1805C2×C4—124no—
1806C2×C4—124no—
1807C2×C4—124no—
1808C2×C4—124no—
1809C2×C4—242no—
1810C2×C4—242no—
1811C2×C4—242no—
1812C2×C4—242no—
1813C2×C4—242no—
1814C2×C4C2×D3×D412yes—
1815C2×C4#100912yes—
1816C2×C3—24no—
1817C2×C3—42no—
1818C2×C3—81no—
1819C2×C3C2×#54611yescharacteristic
1820C2×C3#348411yescharacteristic
1821C2×C3#349611yescharacteristic
1822C2×C3#351411yescharacteristic
1823C2×C3#351911yescharacteristic
1824C2×C3#353411yescharacteristic
1825C2×C3#353711yescharacteristic
1826D3—42no—
1827D3—42no—
1828D3—42no—
1829D3—42no—
1830D3—81no—
1831D3—81no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
1857C22—62no—
1858C22—62no—
1859C22—62no—
1860C22—62no—
1861C22—62no—
1862C22—62no—
1863C22—62no—
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—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—248no—
1895C22—248no—
1896C22—248no—
1897C22—248no—
1898C22#565414yes—
1899C22C22×D3×D411yescharacteristic
1900C22C2×D3×#4111yescharacteristic
1901C22C2×#100911yescharacteristic
1902C22C2×#100911yescharacteristic
1903C22#596411yescharacteristic
1904C22D3×H(5,𝔽2)11yescharacteristic
1905C22D3×H(5,𝔽2)11yescharacteristic
1906C4—22no—
1907C4—22no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—62no—
1919C4—62no—
1920C4—62no—
1921C4—62no—
1922C4—121no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C3#4301911yescharacteristic, complemented, Sylow
1929C2—24no—
1930C2—42no—
1931C2—81no—
1932C2—122no—
1933C2—122no—
1934C2—122no—
1935C2—122no—
1936C2—241no—
1937C2—241no—
1938C2C2×#565411yescharacteristic
1939C2#8616211yescharacteristic
1940C2#8641711yescharacteristic
1941C2#8666211yescharacteristic
1942C2#8666511yescharacteristic
1943C2#8691511yescharacteristic
1944C2#8691611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2444C2
hypercenter#2444D3
hypocenterC3#43019
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. C2×#5609C2semidirect
2. C2×#5560C2semidirect
3. C3×#2444C2semidirect
4. #82642C2semidirect
5. D4×(C2×D3)⋊C4C2semidirect
6. #78179C2semidirect
7. #78138C2semidirect
8. #77695C2semidirect
9. #77692C2semidirect
10. #77690C2semidirect
11. #77689C2semidirect
12. #76905C2semidirect
13. #76903C2semidirect
14. #75920C2semidirect
15. #75597C2semidirect
16. #75389C2semidirect
17. #75330C2semidirect
18. #74928C2semidirect
19. #74893C2semidirect
20. #74888C2semidirect
21. #74888C2semidirect
22. #74888C2semidirect
23. #74879C2semidirect
24. #74874C2semidirect
25. #74727C2semidirect
26. #74601C2semidirect
27. #74421C2semidirect
28. #74131C2semidirect
29. #74097C2semidirect
30. C2×#4672C2semidirect
31. #73338C2semidirect
38. C2×C3×C4×D4C22semidirect
40. C2×#939C22semidirect
41. C2×#939C22semidirect
42. C2×#939C22semidirect
45. C2×D4×Dic3C22semidirect
47. C2×#930C22semidirect
48. C2×#929C22semidirect
50. C2×C4×#67C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
54. C22×(C2×D3)⋊C4C22semidirect
55. C22×(C2×D3)⋊C4C22semidirect
56. C22×Dic3⋊C4C22semidirect
59. C2×#898C22semidirect
60. C2×#896C22semidirect
62. C2×#895C22semidirect
63. C2×#895C22semidirect
64. C2×#894C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#882C22semidirect
77. C2×#882C22semidirect
78. C2×#67⋊C4C22semidirect
79. C2×D3×C22⋊C4C22semidirect
80. C2×#878C22semidirect
81. C2×#876C22semidirect
82. C2×#875C22semidirect
83. C3×#400C22semidirect
84. C3×#397C22semidirect
85. C3×#397C22semidirect
86. C3×#394C22semidirect
87. C3×#388C22semidirect
88. C3×#387C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
92. C3×#386C22semidirect
93. C3×#385C22semidirect
94. C3×#381C22semidirect
95. C2×C3×#95C22semidirect
96. #5222C22semidirect
97. #5220C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. C4×#217C22semidirect
102. #4994C22semidirect
103. #4993C22semidirect
105. #4991C22semidirect
106. #4988C22semidirect
107. #4987C22semidirect
108. #4979C22semidirect
109. #4976C22semidirect
110. #4976C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4960C22semidirect
115. #4960C22semidirect
116. #4960C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
122. #4958C22semidirect
123. #4958C22semidirect
124. #4957C22semidirect
125. #4957C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4955C22semidirect
132. #4955C22semidirect
133. #4955C22semidirect
134. #4955C22semidirect
135. #4955C22semidirect
136. #4955C22semidirect
137. #4948C22semidirect
138. #4946C22semidirect
139. #4942C22semidirect
140. #4939C22semidirect
141. C4×(C2×D3)⋊C4C22semidirect
142. #4676C22semidirect
143. #4676C22semidirect
144. #4675C22semidirect
145. #4673C22semidirect
148. #4672C22semidirect
149. #4672C22semidirect
150. #4672C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
153. #4672C22semidirect
154. #4672C22semidirect
155. #4672C22semidirect
156. #4672C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4669C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4666C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. #4657C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4652C22semidirect
207. #2444D3semidirect
305. #937D4semidirect
474. C2×C4×D4C2×D3semidirect
482. #400C2×D3semidirect
486. #397C2×D3semidirect
487. #397C2×D3semidirect
513. #394C2×D3semidirect
537. #388C2×D3semidirect
541. #387C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
564. #386C2×D3semidirect
565. #386C2×D3semidirect
571. #385C2×D3semidirect
574. #381C2×D3semidirect
588. C2×#95C2×D3semidirect
1928. C3#43019semidirect

Maximal subgroups

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

subgroupindex
C2×#56092
C2×#55602
C3×#24442
#826422
D4×(C2×D3)⋊C42
#781792
#781382
#776952
#776922
#776902
#776892
#769052
#769032
#759202
#755972
#753892
#753302
#749282
#748932
#748882
#748792
#748742
#747272
#746012
#744212
#741312
#740972
C2×#46722
#733382
#430193