Finite Group Databasebeta

← #11633712

Subgroups — #11633712

Order 768.

3122 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5630C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic, complemented
3C3×#2692C211yesmaximal, characteristic, complemented
4#82798C211yesmaximal, characteristic, complemented
5#82770C211yesmaximal, characteristic, complemented
6#78101C211yesmaximal, characteristic, complemented
7#78101C211yesmaximal, characteristic, complemented
8#77947C211yesmaximal, characteristic, complemented
9#77753C211yesmaximal, characteristic, complemented
10#77421C211yesmaximal, characteristic, complemented
11#77292C211yesmaximal, characteristic, complemented
12#77254C211yesmaximal, characteristic, complemented
13#77250C211yesmaximal, characteristic, complemented
14#76868C211yesmaximal, characteristic, complemented
15#76863C211yesmaximal, characteristic, complemented
16#76863C211yesmaximal, characteristic, complemented
17#76786C211yesmaximal, characteristic, complemented
18#76613C211yesmaximal, characteristic, complemented
19#76539C211yesmaximal, characteristic, complemented
20#76436C211yesmaximal, characteristic, complemented
21#76432C211yesmaximal, characteristic, complemented
22#75332C211yesmaximal, characteristic, complemented
23#75309C211yesmaximal, characteristic, complemented
24#74910C211yesmaximal, characteristic, complemented
25#74884C211yesmaximal, characteristic, complemented
26#74881C211yesmaximal, characteristic, complemented
27D3×#386C211yesmaximal, characteristic, complemented
28#74634C211yesmaximal, characteristic, complemented
29#74379C211yesmaximal, characteristic, complemented
30#74007C211yesmaximal, characteristic, complemented
31#73904C211yesmaximal, characteristic, complemented
32#59029—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#239C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C23×C4×D3C2211yescharacteristic, complemented
38C2×C3×C22⋊Q8C2211yescharacteristic, complemented
39C2×C3×C22⋊Q8C2211yescharacteristic, complemented
40C2×#947C2211yescharacteristic, complemented
41C2×#946C2211yescharacteristic, complemented
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#930C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic, complemented
46#5630—28no—
47#5627—28no—
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic, complemented
51C2×#895C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#894C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic, complemented
61C2×#893C2211yescharacteristic, complemented
62C2×#892C2211yescharacteristic, complemented
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic, complemented
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic, complemented
78C3×#399C2211yescharacteristic, complemented
79C3×#398C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic, complemented
81C3×#395C2211yescharacteristic, complemented
82C3×#393C2211yescharacteristic, complemented
83C3×#393C2211yescharacteristic, complemented
84C3×#391C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#385C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic, complemented
91#5231C2211yescharacteristic, complemented
92#5231C2211yescharacteristic, complemented
93#5231C2211yescharacteristic, complemented
94#5229C2211yescharacteristic, complemented
95#5220C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99C4×#217C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4987C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4986C2211yescharacteristic, complemented
118#4985C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120#4978C2211yescharacteristic, complemented
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic, complemented
140#4955C2211yescharacteristic, complemented
141#4953C2211yescharacteristic, complemented
142#4945C2211yescharacteristic, complemented
143#4944C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4944C2211yescharacteristic, complemented
146Dic3×C22⋊C4C2211yescharacteristic, complemented
147#4939C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4671C2211yescharacteristic
154#4671C2211yescharacteristic
155#4671C2211yescharacteristic, complemented
156#4670C2211yescharacteristic, complemented
157#4670C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4666C2211yescharacteristic, complemented
161#4666C2211yescharacteristic, complemented
162#4666C2211yescharacteristic, complemented
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186D3×#95C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2696—31no—
193#2692D311yescharacteristic, complemented
194#2688—31no—
195#2668—31no—
196#2564—31no—
197#2561—31no—
198#2557—31no—
199#2534—31no—
200#2477—31no—
201#2471—31no—
202#2464—31no—
203#2459—31no—
204#2457—31no—
205#2456—31no—
206#2430—31no—
207#2419—31no—
208#2418—31no—
209#2418—31no—
210#2408—31no—
211#2404—31no—
212#2404—31no—
213#2403—31no—
214#2364—31no—
215#2364—31no—
216#2358—31no—
217#2339—31no—
218D4×C22⋊C4—31no—
219C4×#120—31no—
220C2×#386—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#239—24no—
237C2×#239—24no—
238C2×#239—24no—
239C2×#239—42no—
240C2×#239—42no—
241C2×#239—42no—
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C22×D12—24no—
246C22×D12—24no—
247C22×D12—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×C4×D3—24no—
261C22×C4×D3—42no—
262C22×C4×D3—42no—
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C3×C22⋊Q8—24no—
278C3×C22⋊Q8—24no—
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×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#947—24no—
306#946—24no—
307#938—24no—
308#937—24no—
309#930—24no—
310C4×#67—24no—
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#895—24no—
366#895—24no—
367#895—42no—
368#895D418yescomplemented
369#894—24no—
370#894—24no—
371#894—24no—
372#894—24no—
373#894—42no—
374#893—24no—
375#893—24no—
376#893—24no—
377#893—42no—
378#893—42no—
379#892—24no—
380#882—24no—
381#882—24no—
382#882—24no—
383#882—24no—
384#882—24no—
385#882—42no—
386#67⋊C4—24no—
387#67⋊C4—24no—
388#67⋊C4—42no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—42no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394C4×D12—42no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431C23×D4—31no—
432C23×D4—31no—
433C24×C4—31no—
434#546—68no—
435C2×#124—31no—
436#525—68no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8C2×D311yescharacteristic, complemented
444C2×C22⋊Q8C2×D311yescharacteristic, complemented
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×#117—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#400—31no—
476#399—31no—
477#399C2×D311yescharacteristic, complemented
478#398C2×D311yescharacteristic, complemented
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#396—31no—
485#396C2×D311yescharacteristic, complemented
486#395C2×D311yescharacteristic, complemented
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#393—31no—
494#393—31no—
495#393—31no—
496#393C2×D311yescharacteristic, complemented
497#393C2×D311yescharacteristic, complemented
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#391—31no—
507#391C2×D311yescharacteristic, complemented
508#390—31no—
509#390—31no—
510#390—31no—
511#390C2×D311yescharacteristic
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387C2×D311yescharacteristic, complemented
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#386—31no—
540#386—31no—
541#386—31no—
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#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385C2×D311yescharacteristic, complemented
564#381—31no—
565#381—31no—
566#381—31no—
567#381—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380C2×D311yescharacteristic, complemented
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C2×#95—31no—
584C2×#95—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
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—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C2×C3×Q8—22no—
616C2×C3×Q8—22no—
617C2×C3×Q8—22no—
618C2×C3×Q8—41no—
619C2×C3×Q8—41no—
620C2×C3×Q8—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4#4114yescomplemented
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
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—22no—
653C2×#67—22no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—41no—
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674#239—416no—
675#239—416no—
676D3×D4—416no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—416no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12C2×D414yes—
711C2×D12C2×D414yes—
712C2×D12C2×D414yescomplemented
713C2×D12#4114yescomplemented
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—416no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3C2×D414yes—
757C3×C4⋊C4—22no—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—41no—
762C3×C4⋊C4—41no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4C2×D414yescomplemented
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C42—41no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—41no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
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—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yescomplemented
822(C2×D3)⋊C4C2×D414yescomplemented
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—41no—
826C4⋊Dic3—41no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—22no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C4×Dic3—41no—
837C25—31no—
838C25—31no—
839C25—31no—
840C2×#41—64no—
841C2×#41—64no—
842C2×#41—64no—
843C2×#41—122no—
844C2×#41—122no—
845C2×#41—122no—
846C22×Q8C22×D311yescharacteristic
847C22×Q8C22×D311yescharacteristic
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—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—64no—
867C22×D4—64no—
868C22×D4—64no—
869C22×D4—122no—
870C22×D4—122no—
871C22×D4—122no—
872C22×D4C22×D311yescharacteristic
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—64no—
889C23×C4—122no—
890C23×C4—122no—
891C23×C4C22×D311yescharacteristic
892C23×C4C22×D311yescharacteristic
893#124—64no—
894#123—64no—
895#123—64no—
896#123—64no—
897#123—64no—
898#123—122no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—64no—
902#121—38no—
903#121—64no—
904#121—64no—
905#121—64no—
906#121—64no—
907#121—122no—
908#120—64no—
909#120—64no—
910#120—64no—
911#120—64no—
912#120—64no—
913#120—64no—
914#120—122no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—64no—
918C4×D4—64no—
919C4×D4—64no—
920C4×D4—64no—
921C4×D4—122no—
922C4×D4—122no—
923C4×D4—122no—
924C4×D4—122no—
925#117—64no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C4⋊C4C22×D311yescharacteristic
937C2×C4⋊C4C22×D311yescharacteristic
938C2×C4⋊C4C22×D311yescharacteristic
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C4⋊C4C22×D311yescharacteristic
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—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
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—64no—
990C2×C22⋊C4—64no—
991C2×C22⋊C4—122no—
992C2×C22⋊C4—122no—
993C2×C22⋊C4—122no—
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42C22×D311yescharacteristic
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95C22×D311yescharacteristic
1036#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044#95C22×D311yescharacteristic
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3C2×#4112yes—
1058C23×C3C2×#4112yes—
1059C23×C3C2511yescharacteristic
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—28no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
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—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—44no—
1106C22×D3—44no—
1107C22×D3—44no—
1108C22×D3—44no—
1109C22×D3—82no—
1110C22×D3—82no—
1111C22×D3—82no—
1112C22×D3—82no—
1113C22×D3—82no—
1114C22×D3—82no—
1115C22×D3—82no—
1116C22×D3C22×D412yes—
1117C22×D3C22×D412yes—
1118C22×D3C22×D412yes—
1119C22×D3C2×#4112yes—
1120C22×D3C2×#4112yes—
1121C22×D3H(5,𝔽2)12yes—
1122C22×D3H(5,𝔽2)12yes—
1123C3×Q8—44no—
1124C3×Q8—44no—
1125C3×D4—44no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—44no—
1161C2×C3×C4—44no—
1162C2×C3×C4C22×D412yes—
1163C2×C3×C4C22×D412yes—
1164C2×C3×C4C22×D412yes—
1165C2×C3×C4C2×#4112yes—
1166C2×C3×C4C2×#4112yes—
1167#67—44no—
1168#67—44no—
1169#67—44no—
1170#67—44no—
1171#67—44no—
1172#67—44no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—44no—
1202C2×Dic3C22×D412yes—
1203C2×Dic3H(5,𝔽2)12yes—
1204D12—28no—
1205D12—28no—
1206D12—28no—
1207D12—44no—
1208D12—44no—
1209D12—44no—
1210D12—44no—
1211D12—44no—
1212D12—44no—
1213D12—44no—
1214D12—44no—
1215D12—82no—
1216C4×D3—28no—
1217C4×D3—44no—
1218C4×D3—44no—
1219C4×D3—44no—
1220C4×D3—44no—
1221C4×D3—44no—
1222C4×D3—44no—
1223C4×D3—44no—
1224C4×D3—44no—
1225C4×D3—44no—
1226C4×D3—82no—
1227C4×D3—82no—
1228C4×D3—82no—
1229C4×D3—82no—
1230C24—31no—
1231C24—31no—
1232C24—31no—
1233C24—31no—
1234C24—31no—
1235C24—31no—
1236C24—62no—
1237C24—62no—
1238C24—62no—
1239C24—62no—
1240C24—62no—
1241C24—62no—
1242C24—62no—
1243C24—62no—
1244C24—62no—
1245C24—62no—
1246C24—62no—
1247C24—62no—
1248C24—121no—
1249C24—121no—
1250C24—121no—
1251C24—121no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24—121no—
1256C24—121no—
1257C24C23×D311yescharacteristic
1258C24C23×D311yescharacteristic
1259#41—1216no—
1260#41—1216no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—41no—
1265C2×Q8—41no—
1266C2×Q8—41no—
1267C2×D4—34no—
1268C2×D4—34no—
1269C2×D4—34no—
1270C2×D4—34no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—1216no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—1216no—
1325C2×D4#23914yescomplemented
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—34no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—62no—
1364C22×C4—62no—
1365C22×C4—62no—
1366C22×C4—62no—
1367C22×C4—62no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4—121no—
1378C22×C4—121no—
1379C22×C4—121no—
1380C22×C4—121no—
1381C22×C4—121no—
1382C22×C4—121no—
1383C22×C4—121no—
1384C22×C4—121no—
1385C22×C4—121no—
1386C22×C4—1216no—
1387C22×C4—121no—
1388C22×C4C23×D311yescharacteristic
1389C22×C4C23×D311yescharacteristic
1390C22×C4C23×D311yescharacteristic
1391C22×C4C23×D311yescharacteristic
1392C22×C4C23×D311yescharacteristic
1393C22×C4C23×D311yescharacteristic
1394C22×C4C23×D311yescharacteristic
1395C22×C4C23×D311yescharacteristic
1396C22×C4C23×D311yescharacteristic
1397C22×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—121no—
1416C4⋊C4—121no—
1417C4⋊C4D3×D414yescomplemented
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—34no—
1424C22⋊C4—34no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C42—41no—
1475C42—62no—
1476C42—62no—
1477C42—62no—
1478C42—121no—
1479C42—121no—
1480C42—121no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—22no—
1484C22×C3—22no—
1485C22×C3—22no—
1486C22×C3—22no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3C23×D411yescharacteristic
1496C22×C3C22×#4111yescharacteristic
1497C22×C3C22×#4111yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3C2×H(5,𝔽2)11yescharacteristic
1500C22×C3C2×H(5,𝔽2)11yescharacteristic
1501C22×C3#58511yescharacteristic
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—22no—
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—22no—
1512C2×D3—22no—
1513C2×D3—22no—
1514C2×D3—22no—
1515C2×D3—22no—
1516C2×D3—22no—
1517C2×D3—22no—
1518C2×D3—22no—
1519C2×D3—22no—
1520C2×D3—416no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—88no—
1545C2×D3—88no—
1546C2×D3#54614yes—
1547C3×C4—22no—
1548C3×C4—22no—
1549C3×C4—22no—
1550C3×C4—22no—
1551C3×C4—22no—
1552C3×C4—41no—
1553C3×C4—41no—
1554C3×C4—41no—
1555C3×C4—41no—
1556C3×C4—41no—
1557C3×C4—41no—
1558C3×C4—41no—
1559C3×C4—41no—
1560Dic3—22no—
1561Dic3—22no—
1562Dic3—41no—
1563Dic3—41no—
1564Dic3—41no—
1565Dic3—41no—
1566Dic3—41no—
1567Dic3—41no—
1568Dic3—41no—
1569Dic3—41no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—32no—
1583C23—32no—
1584C23—32no—
1585C23—32no—
1586C23—32no—
1587C23—32no—
1588C23—32no—
1589C23—68no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—124no—
1626C23—124no—
1627C23—124no—
1628C23—124no—
1629C23—124no—
1630C23—124no—
1631C23—124no—
1632C23—124no—
1633C23—124no—
1634C23—124no—
1635C23—124no—
1636C23—124no—
1637C23—124no—
1638C23—242no—
1639C23—242no—
1640C23—242no—
1641C23—242no—
1642C23—242no—
1643C23—242no—
1644C23—242no—
1645C23C2×#23912yes—
1646C23C2×#23912yes—
1647C23C24×D311yescharacteristic
1648Q8—44no—
1649Q8—44no—
1650D4—44no—
1651D4—68no—
1652D4—68no—
1653D4—68no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—124no—
1660D4—124no—
1661D4—124no—
1662D4—124no—
1663D4—124no—
1664D4—124no—
1665D4—124no—
1666D4—124no—
1667D4—124no—
1668D4—242no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—32no—
1704C2×C4—32no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—68no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—124no—
1740C2×C4—124no—
1741C2×C4—124no—
1742C2×C4—124no—
1743C2×C4—124no—
1744C2×C4—124no—
1745C2×C4—124no—
1746C2×C4—242no—
1747C2×C4—242no—
1748C2×C4—242no—
1749C2×C4—242no—
1750C2×C4C2×D3×D412yes—
1751C2×C4C2×D3×D412yes—
1752C2×C4C2×D3×D412yes—
1753C2×C4C2×#23912yes—
1754C2×C4D3×#4112yes—
1755C2×C3—42no—
1756C2×C3—42no—
1757C2×C3C2×#54611yescharacteristic
1758C2×C3D4×#4111yescharacteristic
1759C2×C3#348111yescharacteristic
1760C2×C3#348411yescharacteristic
1761C2×C3#349011yescharacteristic
1762C2×C3#351311yescharacteristic
1763C2×C3#354211yescharacteristic
1764D3—24no—
1765D3—42no—
1766D3—42no—
1767D3—42no—
1768D3—42no—
1769D3—81no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—34no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
1791C22—62no—
1792C22—62no—
1793C22—62no—
1794C22—62no—
1795C22—62no—
1796C22—62no—
1797C22—62no—
1798C22—62no—
1799C22—62no—
1800C22—62no—
1801C22—62no—
1802C22—62no—
1803C22—1216no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
1827C22—248no—
1828C22—248no—
1829C22C22×D3×D411yescharacteristic
1830C22C22×#23911yescharacteristic
1831C22C2×D3×#4111yescharacteristic
1832C22D3×H(5,𝔽2)11yescharacteristic
1833C22D3×H(5,𝔽2)11yescharacteristic
1834C22D3×H(5,𝔽2)11yescharacteristic
1835C22#596811yescharacteristic
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—62no—
1850C4—62no—
1851C4—121no—
1852C4—121no—
1853C4—121no—
1854C4—121no—
1855C4—121no—
1856C4—121no—
1857C4—121no—
1858C4—121no—
1859C3#5902911yescharacteristic, complemented, Sylow
1860C2—42no—
1861C2—42no—
1862C2—64no—
1863C2—122no—
1864C2—122no—
1865C2—122no—
1866C2—122no—
1867C2—241no—
1868C2#8633011yescharacteristic
1869C2#8655311yescharacteristic
1870C2#8657911yescharacteristic
1871C2D3×#54611yescharacteristic
1872C2D4×#23911yescharacteristic
1873C2#8692411yescharacteristic
1874C2#8709711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2692C2
hypercenter#2692D3
hypocenterC3#59029
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#5630C2semidirect
2. C2×#5627C2semidirect
3. C3×#2692C2semidirect
4. #82798C2semidirect
5. #82770C2semidirect
6. #78101C2semidirect
7. #78101C2semidirect
8. #77947C2semidirect
9. #77753C2semidirect
10. #77421C2semidirect
11. #77292C2semidirect
12. #77254C2semidirect
13. #77250C2semidirect
14. #76868C2semidirect
15. #76863C2semidirect
16. #76863C2semidirect
17. #76786C2semidirect
18. #76613C2semidirect
19. #76539C2semidirect
20. #76436C2semidirect
21. #76432C2semidirect
22. #75332C2semidirect
23. #75309C2semidirect
24. #74910C2semidirect
25. #74884C2semidirect
26. #74881C2semidirect
27. D3×#386C2semidirect
28. #74634C2semidirect
29. #74379C2semidirect
30. #74007C2semidirect
31. #73904C2semidirect
34. C22×#239C22semidirect
37. C23×C4×D3C22semidirect
38. C2×C3×C22⋊Q8C22semidirect
39. C2×C3×C22⋊Q8C22semidirect
40. C2×#947C22semidirect
41. C2×#946C22semidirect
44. C2×#930C22semidirect
45. C2×C4×#67C22semidirect
49. C2×#895C22semidirect
50. C2×#895C22semidirect
51. C2×#895C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
55. C2×#894C22semidirect
56. C2×#894C22semidirect
60. C2×#893C22semidirect
61. C2×#893C22semidirect
62. C2×#892C22semidirect
67. C2×#882C22semidirect
68. C2×#882C22semidirect
69. C2×#67⋊C4C22semidirect
70. C2×#67⋊C4C22semidirect
71. C2×#67⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×C4×D12C22semidirect
78. C3×#399C22semidirect
79. C3×#398C22semidirect
80. C3×#396C22semidirect
81. C3×#395C22semidirect
82. C3×#393C22semidirect
83. C3×#393C22semidirect
84. C3×#391C22semidirect
86. C3×#387C22semidirect
89. C3×#385C22semidirect
90. C3×#380C22semidirect
91. #5231C22semidirect
92. #5231C22semidirect
93. #5231C22semidirect
94. #5229C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. C4×#217C22semidirect
100. #4994C22semidirect
101. #4992C22semidirect
102. #4992C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4988C22semidirect
113. #4988C22semidirect
114. #4987C22semidirect
115. #4987C22semidirect
116. #4987C22semidirect
117. #4986C22semidirect
118. #4985C22semidirect
119. #4980C22semidirect
120. #4978C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4958C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
139. #4955C22semidirect
140. #4955C22semidirect
141. #4953C22semidirect
142. #4945C22semidirect
143. #4944C22semidirect
144. #4944C22semidirect
145. #4944C22semidirect
146. Dic3×C22⋊C4C22semidirect
147. #4939C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4677C22semidirect
151. #4674C22semidirect
152. #4674C22semidirect
155. #4671C22semidirect
156. #4670C22semidirect
157. #4670C22semidirect
158. #4669C22semidirect
159. #4669C22semidirect
160. #4666C22semidirect
161. #4666C22semidirect
162. #4666C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4664C22semidirect
181. #4664C22semidirect
182. #4664C22semidirect
183. #4664C22semidirect
184. D3×#95C22semidirect
185. D3×#95C22semidirect
186. D3×#95C22semidirect
187. #4654C22semidirect
188. #4654C22semidirect
189. #4653C22semidirect
193. #2692D3semidirect
368. #895D4semidirect
443. C2×C22⋊Q8C2×D3semidirect
444. C2×C22⋊Q8C2×D3semidirect
477. #399C2×D3semidirect
478. #398C2×D3semidirect
485. #396C2×D3semidirect
486. #395C2×D3semidirect
496. #393C2×D3semidirect
497. #393C2×D3semidirect
507. #391C2×D3semidirect
527. #387C2×D3semidirect
563. #385C2×D3semidirect
571. #380C2×D3semidirect
623. C2×C3×D4#41semidirect
712. C2×D12C2×D4semidirect
713. C2×D12#41semidirect
765. C3×C4⋊C4C2×D4semidirect
821. (C2×D3)⋊C4C2×D4semidirect
822. (C2×D3)⋊C4C2×D4semidirect
1325. C2×D4#239semidirect
1417. C4⋊C4D3×D4semidirect
1859. C3#59029semidirect

Maximal subgroups

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

subgroupindex
C2×#56302
C2×#56272
C3×#26922
#827982
#827702
#781012
#779472
#777532
#774212
#772922
#772542
#772502
#768682
#768632
#767862
#766132
#765392
#764362
#764322
#753322
#753092
#749102
#748842
#748812
D3×#3862
#746342
#743792
#740072
#739042
#590293