Finite Group Databasebeta

← #11167557

Subgroups — #11167557

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×#5644C211yesmaximal, characteristic, complemented
2C2×D4×D12C211yesmaximal, characteristic, complemented
3C3×#2449C211yesmaximal, characteristic, complemented
4#82827C211yesmaximal, characteristic, complemented
5#82769C211yesmaximal, characteristic, complemented
6#82761C211yesmaximal, characteristic, complemented
7#82342C211yesmaximal, characteristic, complemented
8#82193C211yesmaximal, characteristic, complemented
9C2×#4991C211yesmaximal, characteristic, complemented
10#78116C211yesmaximal, characteristic, complemented
11#78112C211yesmaximal, characteristic, complemented
12#77978C211yesmaximal, characteristic, complemented
13#77847C211yesmaximal, characteristic, complemented
14#77430C211yesmaximal, characteristic, complemented
15#77421C211yesmaximal, characteristic, complemented
16#77264C211yesmaximal, characteristic, complemented
17#77187C211yesmaximal, characteristic, complemented
18#76220C211yesmaximal, characteristic, complemented
19#76020C211yesmaximal, characteristic, complemented
20#75397C211yesmaximal, characteristic, complemented
21#75324C211yesmaximal, characteristic, complemented
22#74888C211yesmaximal, characteristic, complemented
23#74888C211yesmaximal, characteristic, complemented
24#74878C211yesmaximal, characteristic, complemented
25#74874C211yesmaximal, characteristic, complemented
26#74605C211yesmaximal, characteristic, complemented
27#74601C211yesmaximal, characteristic, complemented
28#74601C211yesmaximal, characteristic, complemented
29#74596C211yesmaximal, characteristic, complemented
30#74476C211yesmaximal, characteristic, complemented
31#74419C211yesmaximal, characteristic, complemented
32#43019—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×C3×C22⋊Q8C2211yescharacteristic, complemented
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C4⋊C4C2211yescharacteristic, complemented
41C2×#947C2211yescharacteristic, complemented
42C2×#947C2211yescharacteristic, complemented
43C2×#947C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic, complemented
48C2×#930C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54#5644—28no—
55D4×D12—28no—
56C2×#898C2211yescharacteristic, complemented
57C2×#898C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#895C2211yescharacteristic, complemented
61C2×#895C2211yescharacteristic, complemented
62C2×#895C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic, complemented
64C2×#895C2211yescharacteristic, complemented
65C2×#895C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×#894C2211yescharacteristic, complemented
68C2×#893C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×#67⋊C4C2211yescharacteristic, complemented
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic, complemented
80C2×D3×C22⋊C4C2211yescharacteristic, complemented
81C2×#874C2211yescharacteristic
82C2×C4×D12C2211yescharacteristic
83C3×#399C2211yescharacteristic, complemented
84C3×#398C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C3×#395C2211yescharacteristic, complemented
87C3×#389C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic
90C3×#386C2211yescharacteristic
91C3×#385C2211yescharacteristic, complemented
92C3×#385C2211yescharacteristic, complemented
93C3×#385C2211yescharacteristic, complemented
94#5231C2211yescharacteristic, complemented
95#5220C2211yescharacteristic
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99C4×#217C2211yescharacteristic, complemented
100C2×C3⋊#95C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4992C2211yescharacteristic, complemented
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4991C2211yescharacteristic, complemented
115#4991C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4991C2211yescharacteristic, complemented
118#4991C2211yescharacteristic, complemented
119#4991C2211yescharacteristic, complemented
120#4991C2211yescharacteristic, complemented
121#4991C2211yescharacteristic, complemented
122#4990C2211yescharacteristic, complemented
123#4990C2211yescharacteristic, complemented
124#4990C2211yescharacteristic, complemented
125#4990C2211yescharacteristic, complemented
126#4990C2211yescharacteristic, complemented
127#4989C2211yescharacteristic, complemented
128#4988C2211yescharacteristic, complemented
129#4988C2211yescharacteristic, complemented
130#4988C2211yescharacteristic, complemented
131#4988C2211yescharacteristic, complemented
132#4987C2211yescharacteristic, complemented
133#4984C2211yescharacteristic, complemented
134#4980C2211yescharacteristic, complemented
135#4978C2211yescharacteristic, complemented
136#4961C2211yescharacteristic, complemented
137#4961C2211yescharacteristic, complemented
138#4960C2211yescharacteristic, complemented
139#4960C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4958C2211yescharacteristic, complemented
142#4958C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4955C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4671C2211yescharacteristic
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4671C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4664C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4660C2211yescharacteristic, 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#2449D311yescharacteristic, complemented
207#2444—31no—
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×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×D3×D4—24no—
240C2×D3×D4—24no—
241C2×D3×D4—24no—
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C22×D12—24no—
246C22×D12—24no—
247C22×D12—42no—
248C22×D12—42no—
249C22×D12—42no—
250C22×D12—42no—
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C3×C22⋊Q8—24no—
276C3×C22⋊Q8—42no—
277C3×C4×D4—24no—
278C2×C3×C4⋊C4—42no—
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#947—24no—
305#947—24no—
306#947—42no—
307#939—24no—
308#930—24no—
309#930—24no—
310#930—24no—
311#930—42no—
312C4×#67—42no—
313C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#898—24no—
380#898—24no—
381#895—24no—
382#895—24no—
383#895—24no—
384#895—24no—
385#895—42no—
386#895—42no—
387#895—42no—
388#895—42no—
389#894—24no—
390#894—24no—
391#893—42no—
392#882—24no—
393#882—24no—
394#882—24no—
395#882—24no—
396#882—42no—
397#882—42no—
398#882—42no—
399#882D418yescomplemented
400#67⋊C4—24no—
401#67⋊C4—24no—
402D3×C22⋊C4—42no—
403D3×C22⋊C4—42no—
404#874—24no—
405C4×D12—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⋊Q8C2×D311yescharacteristic, complemented
447C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#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×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4C2×D311yescharacteristic
475C22×C4⋊C4C2×D311yescharacteristic, complemented
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#400—31no—
483#399C2×D311yescharacteristic, complemented
484#398C2×D311yescharacteristic, complemented
485#397—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396C2×D311yescharacteristic, complemented
492#395C2×D311yescharacteristic, complemented
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#394—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#389C2×D311yescharacteristic, complemented
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
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#386—31no—
563#386—31no—
564#386C2×D311yescharacteristic
565#386C2×D311yescharacteristic
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic, complemented
570#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#381—31no—
574#381—31no—
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×#95—31no—
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
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—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×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3C2×D414yes—
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×Q8—22no—
627C2×C3×Q8—41no—
628C2×C3×Q8—41no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4#4114yes—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
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—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67C2×D414yes—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690D3×D4—416no—
691D3×D4—416no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—416no—
715C2×D12—416no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12C2×D414yes—
744C2×D12C2×D414yes—
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×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—22no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—41no—
775C3×C4⋊C4—41no—
776C3×C4⋊C4—41no—
777C3×C4⋊C4—41no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4C2×D414yes—
786C3×C42—22no—
787#217—22no—
788#217—22no—
789#217—41no—
790#217—41no—
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—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
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)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4C2×D414yes—
840(C2×D3)⋊C4C2×D414yes—
841C4⋊Dic3—22no—
842C4⋊Dic3—22no—
843C4⋊Dic3—41no—
844Dic3⋊C4—22no—
845Dic3⋊C4—22no—
846Dic3⋊C4—22no—
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×Q8C22×D311yescharacteristic
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—31no—
880C22×D4—31no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—64no—
884C22×D4—64no—
885C22×D4—64no—
886C22×D4—64no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4—122no—
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—24no—
916C22⋊Q8—42no—
917#121—64no—
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—42no—
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—64no—
1019C2×C22⋊C4—122no—
1020C2×C22⋊C4—122no—
1021C2×C22⋊C4—122no—
1022C2×C22⋊C4—122no—
1023C2×C22⋊C4—122no—
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#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
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×C3C22×D412yes—
1075C23×C3C2×#4112yes—
1076C23×C3C2×#4112yes—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3C2511yescharacteristic
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
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—28no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—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×D3C22×D412yes—
1155C22×D3H(5,𝔽2)12yes—
1156C3×Q8—82no—
1157C3×D4—28no—
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—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—44no—
1193C2×C3×C4—44no—
1194C2×C3×C4—44no—
1195C2×C3×C4—82no—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4C2×#4112yes—
1199C2×C3×C4H(5,𝔽2)12yes—
1200C2×C3×C4H(5,𝔽2)12yes—
1201#67—28no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—82no—
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—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—82no—
1234C2×Dic3—82no—
1235C2×Dic3C22×D412yes—
1236D12—28no—
1237D12—44no—
1238D12—44no—
1239D12—44no—
1240D12—44no—
1241D12—44no—
1242D12—44no—
1243D12—44no—
1244D12—44no—
1245D12—44no—
1246D12—82no—
1247D12—82no—
1248D12—82no—
1249D12—82no—
1250D12—82no—
1251D12—82no—
1252D12—82no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—82no—
1256C4×D3—82no—
1257C4×D3—82no—
1258C4×D3—82no—
1259C4×D3—82no—
1260C24—31no—
1261C24—31no—
1262C24—31no—
1263C24—31no—
1264C24—34no—
1265C24—31no—
1266C24—31no—
1267C24—31no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
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—
1294C24—121no—
1295C24C23×D311yescharacteristic
1296C24C23×D311yescharacteristic
1297C2×Q8—22no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—34no—
1303C2×D4—34no—
1304C2×D4—34no—
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—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
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—1216no—
1368C2×D4—1216no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—1216no—
1374C2×D4—1216no—
1375C2×D4#23914yes—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
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—31no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—62no—
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—121no—
1407C22×C4—121no—
1408C22×C4—121no—
1409C22×C4—121no—
1410C22×C4—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4C23×D311yescharacteristic
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—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—62no—
1452C4⋊C4—62no—
1453C4⋊C4—62no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—34no—
1461C22⋊C4—34no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
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⋊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⋊C4D3×D414yes—
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#54614yes—
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—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—22no—
1601C3×C4—22no—
1602C3×C4—22no—
1603C3×C4—41no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611Dic3—22no—
1612Dic3—41no—
1613Dic3—41no—
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—32no—
1631C23—32no—
1632C23—32no—
1633C23—32no—
1634C23—61no—
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—68no—
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—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×#23912yes—
1709C23C2×#23912yes—
1710C23#100912yes—
1711C23C24×D311yescharacteristic
1712Q8—82no—
1713D4—28no—
1714D4—68no—
1715D4—68no—
1716D4—124no—
1717D4—124no—
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—44no—
1773C2×C4—44no—
1774C2×C4—44no—
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—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—82no—
1802C2×C4—124no—
1803C2×C4—124no—
1804C2×C4—242no—
1805C2×C4—242no—
1806C2×C4—242no—
1807C2×C4—242no—
1808C2×C4—242no—
1809C2×C4—242no—
1810C2×C4—242no—
1811C2×C4C2×D3×D412yes—
1812C2×C4C2×D3×D412yes—
1813C2×C4#100412yes—
1814C2×C4C2×#23912yes—
1815C2×C4#100912yes—
1816C2×C3—24no—
1817C2×C3—42no—
1818C2×C3C2×#54611yescharacteristic
1819C2×C3#348411yescharacteristic
1820C2×C3#349611yescharacteristic
1821C2×C3#351411yescharacteristic
1822C2×C3#351911yescharacteristic
1823C2×C3#353411yescharacteristic
1824C2×C3#353711yescharacteristic
1825D3—42no—
1826D3—42no—
1827D3—42no—
1828D3—42no—
1829D3—81no—
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—62no—
1846C22—62no—
1847C22—62no—
1848C22—62no—
1849C22—62no—
1850C22—62no—
1851C22—62no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
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—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#563014yes—
1899C22C22×D3×D411yescharacteristic
1900C22C2×#100411yescharacteristic
1901C22C22×#23911yescharacteristic
1902C22C2×#100911yescharacteristic
1903C22C2×#100911yescharacteristic
1904C22D3×H(5,𝔽2)11yescharacteristic
1905C22#596811yescharacteristic
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—62no—
1920C4—121no—
1921C4—121no—
1922C4—121no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C3#4301911yescharacteristic, complemented, Sylow
1929C2—24no—
1930C2—42no—
1931C2—122no—
1932C2—122no—
1933C2—122no—
1934C2—122no—
1935C2—241no—
1936C2—241no—
1937C2—241no—
1938C2C2×#563011yescharacteristic
1939C2#8605211yescharacteristic
1940C2#8645911yescharacteristic
1941C2#8662011yescharacteristic
1942C2#8670211yescharacteristic
1943C2#8674811yescharacteristic
1944C2#8693311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
hypercenter#2449D3
hypocenterC3#43019
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C2×D4×D12C2semidirect
3. C3×#2449C2semidirect
4. #82827C2semidirect
5. #82769C2semidirect
6. #82761C2semidirect
7. #82342C2semidirect
8. #82193C2semidirect
9. C2×#4991C2semidirect
10. #78116C2semidirect
11. #78112C2semidirect
12. #77978C2semidirect
13. #77847C2semidirect
14. #77430C2semidirect
15. #77421C2semidirect
16. #77264C2semidirect
17. #77187C2semidirect
18. #76220C2semidirect
19. #76020C2semidirect
20. #75397C2semidirect
21. #75324C2semidirect
22. #74888C2semidirect
23. #74888C2semidirect
24. #74878C2semidirect
25. #74874C2semidirect
26. #74605C2semidirect
27. #74601C2semidirect
28. #74601C2semidirect
29. #74596C2semidirect
30. #74476C2semidirect
31. #74419C2semidirect
37. C2×C3×C22⋊Q8C22semidirect
38. C2×C3×C22⋊Q8C22semidirect
40. C22×C3×C4⋊C4C22semidirect
41. C2×#947C22semidirect
42. C2×#947C22semidirect
43. C2×#947C22semidirect
47. C2×#930C22semidirect
48. C2×#930C22semidirect
49. C2×C4×#67C22semidirect
50. C22×(C2×D3)⋊C4C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
56. C2×#898C22semidirect
57. C2×#898C22semidirect
60. C2×#895C22semidirect
61. C2×#895C22semidirect
62. C2×#895C22semidirect
63. C2×#895C22semidirect
64. C2×#895C22semidirect
65. C2×#895C22semidirect
66. C2×#894C22semidirect
67. C2×#894C22semidirect
68. C2×#893C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#882C22semidirect
77. C2×#67⋊C4C22semidirect
78. C2×#67⋊C4C22semidirect
79. C2×D3×C22⋊C4C22semidirect
80. C2×D3×C22⋊C4C22semidirect
83. C3×#399C22semidirect
84. C3×#398C22semidirect
85. C3×#396C22semidirect
86. C3×#395C22semidirect
87. C3×#389C22semidirect
88. C3×#387C22semidirect
91. C3×#385C22semidirect
92. C3×#385C22semidirect
93. C3×#385C22semidirect
94. #5231C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. C4×#217C22semidirect
100. C2×C3⋊#95C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4992C22semidirect
105. #4992C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4991C22semidirect
115. #4991C22semidirect
116. #4991C22semidirect
117. #4991C22semidirect
118. #4991C22semidirect
119. #4991C22semidirect
120. #4991C22semidirect
121. #4991C22semidirect
122. #4990C22semidirect
123. #4990C22semidirect
124. #4990C22semidirect
125. #4990C22semidirect
126. #4990C22semidirect
127. #4989C22semidirect
128. #4988C22semidirect
129. #4988C22semidirect
130. #4988C22semidirect
131. #4988C22semidirect
132. #4987C22semidirect
133. #4984C22semidirect
134. #4980C22semidirect
135. #4978C22semidirect
136. #4961C22semidirect
137. #4961C22semidirect
138. #4960C22semidirect
139. #4960C22semidirect
140. #4958C22semidirect
141. #4958C22semidirect
142. #4958C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4955C22semidirect
151. #4955C22semidirect
152. #4955C22semidirect
153. #4955C22semidirect
154. #4945C22semidirect
155. Dic3×C22⋊C4C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. #4933C22semidirect
158. #4675C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4672C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4671C22semidirect
167. #4670C22semidirect
168. #4669C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4667C22semidirect
172. #4666C22semidirect
173. #4666C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4664C22semidirect
187. #4664C22semidirect
188. #4664C22semidirect
189. #4660C22semidirect
206. #2449D3semidirect
399. #882D4semidirect
446. C2×C22⋊Q8C2×D3semidirect
447. C2×C22⋊Q8C2×D3semidirect
475. C22×C4⋊C4C2×D3semidirect
483. #399C2×D3semidirect
484. #398C2×D3semidirect
491. #396C2×D3semidirect
492. #395C2×D3semidirect
529. #389C2×D3semidirect
541. #387C2×D3semidirect
569. #385C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×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×#56442
C2×D4×D122
C3×#24492
#828272
#827692
#827612
#823422
#821932
C2×#49912
#781162
#781122
#779782
#778472
#774302
#774212
#772642
#771872
#762202
#760202
#753972
#753242
#748882
#748782
#748742
#746052
#746012
#745962
#744762
#744192
#430193