Finite Group Databasebeta

← #11633216

Subgroups — #11633216

Order 768.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5554C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2364C211yesmaximal, characteristic, complemented
4#82702C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6#82361C211yesmaximal, characteristic, complemented
7#82355C211yesmaximal, characteristic, complemented
8#75924C211yesmaximal, characteristic, complemented
9#75922C211yesmaximal, characteristic, complemented
10#75881C211yesmaximal, characteristic, complemented
11#75868C211yesmaximal, characteristic, complemented
12#75396C211yesmaximal, characteristic, complemented
13#75320C211yesmaximal, characteristic, complemented
14#75317C211yesmaximal, characteristic, complemented
15#75315C211yesmaximal, characteristic, complemented
16#74921C211yesmaximal, characteristic, complemented
17#74890C211yesmaximal, characteristic, complemented
18#74886C211yesmaximal, characteristic, complemented
19D3×#386C211yesmaximal, characteristic, complemented
20#74752C211yesmaximal, characteristic, complemented
21#74715C211yesmaximal, characteristic, complemented
22#74690C211yesmaximal, characteristic, complemented
23#74672C211yesmaximal, characteristic, complemented
24#73590C211yesmaximal, characteristic, complemented
25#73584C211yesmaximal, characteristic, complemented
26#73577C211yesmaximal, characteristic, complemented
27#73574C211yesmaximal, characteristic, complemented
28#73573C211yesmaximal, characteristic, complemented
29#73504C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31C2×#4664C211yesmaximal, characteristic, complemented
32#59009—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#935C2211yescharacteristic, complemented
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52#5554—28no—
53#5547—28no—
54C2×#897C2211yescharacteristic
55C2×#896C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic
60C2×#884C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#878C2211yescharacteristic, complemented
69C2×#875C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic, complemented
73C2×#872C2211yescharacteristic
74C3×#388C2211yescharacteristic, complemented
75C3×#388C2211yescharacteristic, complemented
76C3×#387C2211yescharacteristic, complemented
77C3×#387C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic, complemented
82C3×C4×C22⋊C4C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic, complemented
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85C2×C3×#95C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5212C2211yescharacteristic, complemented
96#5212C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99C2×C3⋊#95C2211yescharacteristic, complemented
100C2×C3⋊#95C2211yescharacteristic, complemented
101C2×C3⋊#95C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4991C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4986C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic, complemented
113#4959C2211yescharacteristic
114#4959C2211yescharacteristic, complemented
115#4959C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic, complemented
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4955C2211yescharacteristic
129#4953C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4950C2211yescharacteristic, complemented
132#4948C2211yescharacteristic, complemented
133#4947C2211yescharacteristic, complemented
134#4947C2211yescharacteristic, complemented
135#4946C2211yescharacteristic, complemented
136#4943C2211yescharacteristic, complemented
137#4942C2211yescharacteristic, complemented
138Dic3×C22⋊C4C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4939C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic
145#4936C2211yescharacteristic, complemented
146#4933C2211yescharacteristic, complemented
147#4929C2211yescharacteristic, complemented
148#4929C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4670C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4668C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic
173#4664C2211yescharacteristic
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4659C2211yescharacteristic, complemented
185#4659C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2700—31no—
193#2699—31no—
194#2688—31no—
195#2687—31no—
196#2543—31no—
197#2534—31no—
198#2488—31no—
199#2488—31no—
200#2459—31no—
201#2457—31no—
202#2450—31no—
203#2444—31no—
204#2444—31no—
205#2438—31no—
206#2430—31no—
207#2425—31no—
208#2420—31no—
209#2419—31no—
210#2412—31no—
211#2412—31no—
212#2410—31no—
213#2404—31no—
214#2364D311yescharacteristic, complemented
215#2358—31no—
216#2342—31no—
217#2339—31no—
218#2339—31no—
219C2×#386—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#237—24no—
244C2×#237—24no—
245C2×#237—42no—
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—42no—
249C2×#235—24no—
250C2×#235—24no—
251C2×#235—42no—
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3—24no—
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#121—24no—
272C3×C4×D4—24no—
273C3×C4×D4—24no—
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#939—24no—
302#939—42no—
303#937—24no—
304#937—42no—
305#935—42no—
306#930—24no—
307#930—24no—
308C4×#67—24no—
309C4×#67—24no—
310C2×(C2×D3)⋊C4—24no—
311C2×(C2×D3)⋊C4—24no—
312C2×(C2×D3)⋊C4—42no—
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#897—24no—
362#896—24no—
363#895—24no—
364#894—24no—
365#886—24no—
366#886—24no—
367#884—24no—
368#883—24no—
369#882—24no—
370#882D418yescomplemented
371#67⋊C4—42no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—42no—
374D3×C22⋊C4—42no—
375#878—24no—
376#875—24no—
377C4×D12—24no—
378C4×D12—24no—
379C4×D12—42no—
380#872—24no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425C23×D4—31no—
426C24×C4—31no—
427#546—68no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121C2×D311yescharacteristic
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4C2×D311yescharacteristic
456C2×C4×D4C2×D311yescharacteristic, complemented
457C2×#117—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#393—31no—
490#393—31no—
491#393—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#390—31no—
501#389—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388C2×D311yescharacteristic, complemented
511#388C2×D311yescharacteristic, complemented
512#387—31no—
513#387—31no—
514#387C2×D311yescharacteristic, complemented
515#387C2×D311yescharacteristic, complemented
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386C2×D311yescharacteristic
540#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#386C2×D311yescharacteristic, complemented
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#382—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#381—31no—
558#381—31no—
559#381—31no—
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C4×C22⋊C4C2×D311yescharacteristic, complemented
572C4×C22⋊C4C2×D311yescharacteristic, complemented
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2×D414yes—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4#4114yescomplemented
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67C2×D414yes—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685#237—416no—
686D3×D4—416no—
687#235—416no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12C2×D414yes—
699C2×D12C2×D414yes—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—416no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3#4114yescomplemented
731C2×Dic6—22no—
732C2×Dic6—22no—
733C2×Dic6—22no—
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4C2×D414yes—
750C3×C42—22no—
751C3×C42—22no—
752C3×C42—41no—
753C3×C42—41no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4C2×D414yes—
793(C2×D3)⋊C4C2×D414yes—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810C4×Dic3—22no—
811C4×Dic3—41no—
812C25—31no—
813C25—31no—
814C2×#41—64no—
815C2×#41—64no—
816C2×#41—64no—
817C2×#41—64no—
818C2×#41—122no—
819C2×#41—122no—
820C22×Q8—31no—
821C22×Q8—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—64no—
835C22×D4—64no—
836C22×D4—122no—
837C22×D4C22×D311yescharacteristic
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—64no—
855C23×C4—64no—
856C23×C4—122no—
857C23×C4C22×D311yescharacteristic
858C23×C4C22×D311yescharacteristic
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#124—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—122no—
868C22⋊Q8—64no—
869C22⋊Q8—64no—
870C22⋊Q8—64no—
871#121—24no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—122no—
878#120—38no—
879#120—64no—
880#120—64no—
881#120—122no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—64no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—122no—
889C4×D4—122no—
890#117—64no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4—64no—
953C2×C22⋊C4—122no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4—122no—
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C42—31no—
967C2×C42—31no—
968C2×C42C22×D311yescharacteristic
969C2×C42C22×D311yescharacteristic
970C2×C42C22×D311yescharacteristic
971C2×C42C22×D311yescharacteristic
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3C22×D412yes—
1032C23×C3C2×#4112yes—
1033C23×C3C2×#4112yes—
1034C23×C3H(5,𝔽2)12yes—
1035C23×C3C2511yescharacteristic
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—28no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—28no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—44no—
1069C22×D3—44no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3—82no—
1073C22×D3C22×D412yes—
1074C22×D3C22×D412yes—
1075C22×D3C22×D412yes—
1076C22×D3C2×#4112yes—
1077C22×D3H(5,𝔽2)12yes—
1078C3×D4—28no—
1079C3×D4—44no—
1080C3×D4—82no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—44no—
1114C2×C3×C4—44no—
1115C2×C3×C4—82no—
1116C2×C3×C4—82no—
1117C2×C3×C4—82no—
1118C2×C3×C4C22×D412yes—
1119C2×C3×C4C22×D412yes—
1120C2×C3×C4C2×#4112yes—
1121C2×C3×C4C2×#4112yes—
1122#67—28no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—44no—
1128#67—44no—
1129#67—82no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—44no—
1165C2×Dic3—44no—
1166C2×Dic3—44no—
1167C2×Dic3—82no—
1168C2×Dic3C22×D412yes—
1169C2×Dic3C2×#4112yes—
1170D12—28no—
1171D12—44no—
1172D12—44no—
1173D12—82no—
1174C4×D3—28no—
1175C4×D3—44no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180C4×D3—44no—
1181C4×D3—82no—
1182C4×D3—82no—
1183C4×D3—82no—
1184Dic6—44no—
1185Dic6—44no—
1186C24—31no—
1187C24—31no—
1188C24—31no—
1189C24—34no—
1190C24—31no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—62no—
1199C24—121no—
1200C24—121no—
1201C24—121no—
1202C24—121no—
1203C24—121no—
1204C24C23×D311yescharacteristic
1205C24C23×D311yescharacteristic
1206C24C23×D311yescharacteristic
1207#41—1216no—
1208#41—1216no—
1209C2×Q8—62no—
1210C2×Q8—62no—
1211C2×Q8—62no—
1212C2×Q8—62no—
1213C2×Q8—121no—
1214C2×Q8—121no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—34no—
1222C2×D4—34no—
1223C2×D4—34no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—1216no—
1260C2×D4#23514yescomplemented
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—34no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—1216no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—121no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—34no—
1369C22⋊C4—34no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4D3×D414yes—
1412C42—22no—
1413C42—22no—
1414C42—41no—
1415C42—41no—
1416C42—62no—
1417C42—121no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—22no—
1425C22×C3—22no—
1426C22×C3—22no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3#54614yes—
1439C22×C3C23×D411yescharacteristic
1440C22×C3C22×#4111yescharacteristic
1441C22×C3C22×#4111yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3#58511yescharacteristic
1445C22×C3#58511yescharacteristic
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—416no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—88no—
1475C2×D3#54614yes—
1476C3×C4—22no—
1477C3×C4—22no—
1478C3×C4—22no—
1479C3×C4—22no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487C3×C4—41no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499Dic3—41no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—32no—
1518C23—32no—
1519C23—32no—
1520C23—32no—
1521C23—32no—
1522C23—68no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—68no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—124no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—124no—
1556C23—242no—
1557C23—242no—
1558C23—242no—
1559C23C2×#23512yes—
1560C23C2×#23512yes—
1561C23C2×D3×D412yes—
1562C23#100912yes—
1563C23C24×D311yescharacteristic
1564Q8—124no—
1565Q8—124no—
1566D4—28no—
1567D4—44no—
1568D4—68no—
1569D4—68no—
1570D4—82no—
1571D4—124no—
1572D4—124no—
1573D4—124no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—242no—
1580D4—242no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—32no—
1614C2×C4—32no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—68no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—82no—
1653C2×C4—82no—
1654C2×C4—82no—
1655C2×C4—124no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—124no—
1663C2×C4—124no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4C2×#23512yes—
1669C2×C4C2×D3×D412yes—
1670C2×C4C2×D3×D412yes—
1671C2×C4D3×#4112yes—
1672C2×C3—24no—
1673C2×C3—42no—
1674C2×C3—81no—
1675C2×C3C2×#54611yescharacteristic
1676C2×C3C2×#54611yescharacteristic
1677C2×C3#347511yescharacteristic
1678C2×C3#348511yescharacteristic
1679C2×C3#349411yescharacteristic
1680C2×C3#351311yescharacteristic
1681C2×C3#353411yescharacteristic
1682D3—24no—
1683D3—42no—
1684D3—42no—
1685D3—81no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—34no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—62no—
1712C22—62no—
1713C22—62no—
1714C22—62no—
1715C22—62no—
1716C22—62no—
1717C22—62no—
1718C22—62no—
1719C22—1216no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—248no—
1736C22#555014yes—
1737C22C22×#23511yescharacteristic
1738C22C22×D3×D411yescharacteristic
1739C22C2×D3×#4111yescharacteristic
1740C22C2×#100911yescharacteristic
1741C22#596411yescharacteristic
1742C22D3×H(5,𝔽2)11yescharacteristic
1743C22#596611yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—62no—
1757C4—62no—
1758C4—121no—
1759C4—121no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5900911yescharacteristic, complemented, Sylow
1769C2—24no—
1770C2—42no—
1771C2—64no—
1772C2—81no—
1773C2—122no—
1774C2—122no—
1775C2—241no—
1776C2C2×#555011yescharacteristic
1777C2#8584111yescharacteristic
1778C2#8587011yescharacteristic
1779C2D3×#54611yescharacteristic
1780C2#8666311yescharacteristic
1781C2#8687711yescharacteristic
1782C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2364C2
hypercenter#2364D3
hypocenterC3#59009
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
1. C2×#5554C2semidirect
2. C2×#5547C2semidirect
3. C3×#2364C2semidirect
4. #82702C2semidirect
5. #82651C2semidirect
6. #82361C2semidirect
7. #82355C2semidirect
8. #75924C2semidirect
9. #75922C2semidirect
10. #75881C2semidirect
11. #75868C2semidirect
12. #75396C2semidirect
13. #75320C2semidirect
14. #75317C2semidirect
15. #75315C2semidirect
16. #74921C2semidirect
17. #74890C2semidirect
18. #74886C2semidirect
19. D3×#386C2semidirect
20. #74752C2semidirect
21. #74715C2semidirect
22. #74690C2semidirect
23. #74672C2semidirect
24. #73590C2semidirect
25. #73584C2semidirect
26. #73577C2semidirect
27. #73574C2semidirect
28. #73573C2semidirect
29. #73504C2semidirect
30. #73377C2semidirect
31. C2×#4664C2semidirect
39. C2×C3×C4×D4C22semidirect
41. C2×#939C22semidirect
44. C2×#935C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
55. C2×#896C22semidirect
60. C2×#884C22semidirect
64. C2×#67⋊C4C22semidirect
68. C2×#878C22semidirect
72. C2×C4×D12C22semidirect
74. C3×#388C22semidirect
75. C3×#388C22semidirect
76. C3×#387C22semidirect
77. C3×#387C22semidirect
79. C3×#386C22semidirect
80. C3×#386C22semidirect
81. C3×#386C22semidirect
82. C3×C4×C22⋊C4C22semidirect
83. C3×C4×C22⋊C4C22semidirect
84. C3×C4×C22⋊C4C22semidirect
85. C2×C3×#95C22semidirect
87. #5223C22semidirect
90. #5220C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5212C22semidirect
96. #5212C22semidirect
97. #5210C22semidirect
98. #5210C22semidirect
99. C2×C3⋊#95C22semidirect
100. C2×C3⋊#95C22semidirect
101. C2×C3⋊#95C22semidirect
102. #4994C22semidirect
105. #4989C22semidirect
106. #4986C22semidirect
107. #4982C22semidirect
108. #4981C22semidirect
109. #4979C22semidirect
110. #4961C22semidirect
112. #4960C22semidirect
114. #4959C22semidirect
115. #4959C22semidirect
116. #4959C22semidirect
117. #4959C22semidirect
124. #4956C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
129. #4953C22semidirect
130. #4951C22semidirect
131. #4950C22semidirect
132. #4948C22semidirect
133. #4947C22semidirect
134. #4947C22semidirect
135. #4946C22semidirect
136. #4943C22semidirect
137. #4942C22semidirect
138. Dic3×C22⋊C4C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
143. #4939C22semidirect
145. #4936C22semidirect
146. #4933C22semidirect
147. #4929C22semidirect
148. #4929C22semidirect
149. #4928C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4674C22semidirect
156. #4673C22semidirect
157. #4672C22semidirect
158. #4670C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
182. D3×#95C22semidirect
183. #4660C22semidirect
184. #4659C22semidirect
185. #4659C22semidirect
186. #4657C22semidirect
187. #4655C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2364D3semidirect
370. #882D4semidirect
456. C2×C4×D4C2×D3semidirect
510. #388C2×D3semidirect
511. #388C2×D3semidirect
514. #387C2×D3semidirect
515. #387C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
542. #386C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
571. C4×C22⋊C4C2×D3semidirect
572. C4×C22⋊C4C2×D3semidirect
579. C2×#95C2×D3semidirect
609. C2×C3×D4#41semidirect
730. C2×C4×D3#41semidirect
1260. C2×D4#235semidirect
1768. C3#59009semidirect

Maximal subgroups

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

subgroupindex
C2×#55542
C2×#55472
C3×#23642
#827022
#826512
#823612
#823552
#759242
#759222
#758812
#758682
#753962
#753202
#753172
#753152
#749212
#748902
#748862
D3×#3862
#747522
#747152
#746902
#746722
#735902
#735842
#735772
#735742
#735732
#735042
#733772
C2×#46642
#590093