Finite Group Databasebeta

← #11633205

Subgroups — #11633205

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×#5630C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic, complemented
3C3×#2438C211yesmaximal, characteristic, complemented
4#82771C211yesmaximal, characteristic, complemented
5#82271C211yesmaximal, characteristic, complemented
6#78365C211yesmaximal, characteristic, complemented
7#78346C211yesmaximal, characteristic, complemented
8#77978C211yesmaximal, characteristic, complemented
9#77972C211yesmaximal, characteristic, complemented
10#77957C211yesmaximal, characteristic, complemented
11#77953C211yesmaximal, characteristic, complemented
12#77267C211yesmaximal, characteristic, complemented
13#77250C211yesmaximal, characteristic, complemented
14#76613C211yesmaximal, characteristic, complemented
15#76513C211yesmaximal, characteristic, complemented
16#76217C211yesmaximal, characteristic, complemented
17#76213C211yesmaximal, characteristic, complemented
18#75324C211yesmaximal, characteristic, complemented
19#75320C211yesmaximal, characteristic, complemented
20#75320C211yesmaximal, characteristic, complemented
21#75309C211yesmaximal, characteristic, complemented
22#74601C211yesmaximal, characteristic, complemented
23#74596C211yesmaximal, characteristic, complemented
24#74408C211yesmaximal, characteristic, complemented
25#74406C211yesmaximal, characteristic, complemented
26#74125C211yesmaximal, characteristic, complemented
27D3×#381C211yesmaximal, characteristic, complemented
28#74029C211yesmaximal, characteristic, complemented
29#74018C211yesmaximal, characteristic, complemented
30#73368C211yesmaximal, characteristic, complemented
31C2×#4665C211yesmaximal, characteristic, complemented
32#59009—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×#117C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45#5630—28no—
46#5524—28no—
47C2×#897C2211yescharacteristic, complemented
48C2×#897C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#895C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic, complemented
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic, complemented
71C2×C4×D12C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic, complemented
73C2×C4×D12C2211yescharacteristic, complemented
74C3×#400C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#395C2211yescharacteristic, complemented
78C3×#391C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#381C2211yescharacteristic
85C3×#380C2211yescharacteristic
86C2×C3×#95C2211yescharacteristic
87#5231C2211yescharacteristic, complemented
88#5229C2211yescharacteristic, complemented
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5211C2211yescharacteristic
92C2×C3⋊#95C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4992C2211yescharacteristic, complemented
96#4992C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4987C2211yescharacteristic, complemented
118#4986C2211yescharacteristic, complemented
119#4986C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4977C2211yescharacteristic, complemented
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4955C2211yescharacteristic
126#4943C2211yescharacteristic
127#4943C2211yescharacteristic
128#4942C2211yescharacteristic
129Dic3×C22⋊C4C2211yescharacteristic
130#4940C2211yescharacteristic, complemented
131#4940C2211yescharacteristic, complemented
132C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
133C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
134#4675C2211yescharacteristic, complemented
135#4675C2211yescharacteristic, complemented
136#4674C2211yescharacteristic, complemented
137#4674C2211yescharacteristic, complemented
138#4673C2211yescharacteristic, complemented
139#4673C2211yescharacteristic, complemented
140#4672C2211yescharacteristic, complemented
141#4671C2211yescharacteristic
142#4671C2211yescharacteristic
143#4671C2211yescharacteristic, complemented
144#4671C2211yescharacteristic, complemented
145#4670C2211yescharacteristic, complemented
146#4670C2211yescharacteristic, complemented
147#4669C2211yescharacteristic, complemented
148#4667C2211yescharacteristic, complemented
149#4666C2211yescharacteristic, complemented
150#4666C2211yescharacteristic, complemented
151#4665C2211yescharacteristic
152#4665C2211yescharacteristic
153#4665C2211yescharacteristic
154#4665C2211yescharacteristic
155#4665C2211yescharacteristic
156#4665C2211yescharacteristic
157#4665C2211yescharacteristic
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic, complemented
162#4665C2211yescharacteristic, complemented
163#4665C2211yescharacteristic, complemented
164#4665C2211yescharacteristic, complemented
165#4665C2211yescharacteristic, complemented
166#4665C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic, complemented
182D3×#95C2211yescharacteristic, complemented
183D3×#95C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, 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#2438D311yescharacteristic, complemented
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#2364—31no—
215#2358—31no—
216#2342—31no—
217#2339—31no—
218#2339—31no—
219C2×#386—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C2×#239—24no—
232C2×#239—24no—
233C2×#239—42no—
234C2×#235—24no—
235C2×#235—24no—
236C2×#235—42no—
237C22×D12—24no—
238C22×D12—24no—
239C22×D12—42no—
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3—24no—
254C22×C4×D3—24no—
255C22×C4×D3—42no—
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
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×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×C22⋊Q8—24no—
272C3×#117—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#947—24no—
293C4×#67—24no—
294C4×#67—42no—
295C2×(C2×D3)⋊C4—24no—
296C2×(C2×D3)⋊C4—42no—
297C2×(C2×D3)⋊C4—42no—
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#897—24no—
355#897—24no—
356#895—24no—
357#895—24no—
358#895—24no—
359#895—24no—
360#895—24no—
361#895—24no—
362#895—42no—
363#894—24no—
364#894—24no—
365#894—42no—
366#893—24no—
367#893—42no—
368#886—24no—
369#886—24no—
370#882—24no—
371#882—24no—
372#882—42no—
373#882D418yescomplemented
374D3×C22⋊C4—24no—
375D3×C22⋊C4—24no—
376D3×C22⋊C4—42no—
377C4×D12—24no—
378C4×D12—24no—
379C4×D12—24no—
380C4×D12—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⋊Q8C2×D311yescharacteristic
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
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×D4—31no—
456C2×C4×D4—31no—
457C2×#117C2×D311yescharacteristic
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#400C2×D311yescharacteristic, complemented
468#398—31no—
469#398C2×D311yescharacteristic, complemented
470#398C2×D311yescharacteristic, complemented
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#395C2×D311yescharacteristic, complemented
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#391C2×D311yescharacteristic, complemented
500#390—31no—
501#389C2×D311yescharacteristic, complemented
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#388—31no—
511#388—31no—
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#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385C2×D311yescharacteristic
549#385C2×D311yescharacteristic
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#381C2×D311yescharacteristic
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380C2×D311yescharacteristic
567#379—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic
580C24×C3C2411yescharacteristic
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3C2×D414yes—
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4#4114yescomplemented
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67C2×D414yes—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649#239—416no—
650#235—416no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—416no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12C2×D414yes—
689C2×D12C2×D414yes—
690C2×D12#4114yescomplemented
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
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—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—416no—
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—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×Dic6—22no—
735C2×Dic6—22no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—22no—
743C3×C4⋊C4—41no—
744C3×C4⋊C4—41no—
745C3×C4⋊C4—41no—
746C3×C4⋊C4—41no—
747C3×C4⋊C4—41no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4C2×D414yes—
752C3×C42—22no—
753C3×C42—22no—
754#217—22no—
755#217—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
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—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
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)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4C2×D414yes—
799(C2×D3)⋊C4C2×D414yes—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C4×Dic3—41no—
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×Q8C22×D311yescharacteristic
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—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—64no—
838C22×D4—64no—
839C22×D4—122no—
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—31no—
855C23×C4—31no—
856C23×C4—64no—
857C23×C4—64no—
858C23×C4—122no—
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—24no—
869C22⋊Q8—64no—
870C22⋊Q8—64no—
871#121—64no—
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—64no—
883C4×D4—64no—
884C4×D4—64no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—122no—
889C4×D4—122no—
890#117—24no—
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⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
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—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—64no—
957C2×C22⋊C4—64no—
958C2×C22⋊C4—64no—
959C2×C22⋊C4—122no—
960C2×C22⋊C4—122no—
961C2×C22⋊C4—122no—
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—31no—
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#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
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×C3C22×D412yes—
1019C23×C3C2×#4112yes—
1020C23×C3H(5,𝔽2)12yes—
1021C23×C3C2511yescharacteristic
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—28no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—28no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—44no—
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—82no—
1070C22×D3—82no—
1071C22×D3—82no—
1072C22×D3C22×D412yes—
1073C22×D3C22×D412yes—
1074C22×D3C22×D412yes—
1075C22×D3C2×#4112yes—
1076C22×D3C2×#4112yes—
1077C22×D3H(5,𝔽2)12yes—
1078C3×Q8—44no—
1079C2×C3×C4—28no—
1080C2×C3×C4—21no—
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—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—44no—
1118C2×C3×C4—82no—
1119C2×C3×C4C22×D412yes—
1120C2×C3×C4C22×D412yes—
1121C2×C3×C4C2×#4112yes—
1122C2×C3×C4C2×#4112yes—
1123C2×C3×C4C2×#4112yes—
1124#67—28no—
1125#67—44no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
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—44no—
1156C2×Dic3—82no—
1157C2×Dic3C22×D412yes—
1158D12—28no—
1159D12—28no—
1160D12—44no—
1161D12—44no—
1162D12—44no—
1163D12—44no—
1164D12—44no—
1165D12—44no—
1166D12—44no—
1167D12—44no—
1168D12—82no—
1169D12—82no—
1170D12—82no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180C4×D3—82no—
1181C4×D3—82no—
1182C4×D3—82no—
1183C4×D3—82no—
1184C4×D3—82no—
1185Dic6—44no—
1186C24—31no—
1187C24—31no—
1188C24—31no—
1189C24—31no—
1190C24—34no—
1191C24—31no—
1192C24—31no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—62no—
1199C24—62no—
1200C24—62no—
1201C24—121no—
1202C24—121no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24C23×D311yescharacteristic
1207#41—1216no—
1208#41—1216no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—121no—
1215C2×D4—34no—
1216C2×D4—34no—
1217C2×D4—34no—
1218C2×D4—34no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
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—121no—
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—121no—
1260C2×D4—1216no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
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—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
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—1216no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4#23914yescomplemented
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
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—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—34no—
1366C22⋊C4—34no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
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—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
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—62no—
1415C42—121no—
1416C42—121no—
1417C42—121no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3#54614yes—
1425C22×C3C23×D411yescharacteristic
1426C22×C3C22×#4111yescharacteristic
1427C22×C3C22×#4111yescharacteristic
1428C22×C3C2×H(5,𝔽2)11yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3#58511yescharacteristic
1431C22×C3#58511yescharacteristic
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—416no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
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—22no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487C3×C4—41no—
1488C3×C4—41no—
1489C3×C4—41no—
1490Dic3—22no—
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—32no—
1505C23—32no—
1506C23—32no—
1507C23—32no—
1508C23—32no—
1509C23—32no—
1510C23—68no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—68no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—124no—
1556C23—124no—
1557C23—242no—
1558C23—242no—
1559C23—242no—
1560C23C2×D3×D412yes—
1561C23C2×#23912yes—
1562C23#100912yes—
1563C23C24×D311yescharacteristic
1564Q8—44no—
1565Q8—124no—
1566D4—68no—
1567D4—68no—
1568D4—68no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—124no—
1573D4—124no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—242no—
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—28no—
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—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—32no—
1620C2×C4—44no—
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—82no—
1651C2×C4—124no—
1652C2×C4—124no—
1653C2×C4—124no—
1654C2×C4—124no—
1655C2×C4—124no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—242no—
1662C2×C4—242no—
1663C2×C4—242no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4C2×D3×D412yes—
1668C2×C4C2×D3×D412yes—
1669C2×C4C2×#23912yes—
1670C2×C4C2×#23912yes—
1671C2×C4D3×#4112yes—
1672C2×C3—24no—
1673C2×C3C2×#54611yescharacteristic
1674C2×C3C2×#54611yescharacteristic
1675C2×C3#347511yescharacteristic
1676C2×C3#348511yescharacteristic
1677C2×C3#349411yescharacteristic
1678C2×C3#351311yescharacteristic
1679C2×C3#353411yescharacteristic
1680D3—24no—
1681D3—42no—
1682D3—42no—
1683D3—42no—
1684D3—81no—
1685D3—81no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—34no—
1693C22—62no—
1694C22—62no—
1695C22—62no—
1696C22—62no—
1697C22—62no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—1216no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
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#563014yes—
1737C22C22×D3×D411yescharacteristic
1738C22C22×#23911yescharacteristic
1739C22C2×D3×#4111yescharacteristic
1740C22C2×#100911yescharacteristic
1741C22#596411yescharacteristic
1742C22D3×H(5,𝔽2)11yescharacteristic
1743C22#596811yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—62no—
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—64no—
1771C2—122no—
1772C2—122no—
1773C2—122no—
1774C2—241no—
1775C2—241no—
1776C2C2×#563011yescharacteristic
1777C2#8627611yescharacteristic
1778C2#8659711yescharacteristic
1779C2D3×#54611yescharacteristic
1780C2#8670011yescharacteristic
1781C2#8680111yescharacteristic
1782C2#8683411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2438C2
hypercenter#2438D3
hypocenterC3#59009
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. C2×#5630C2semidirect
2. C2×#5524C2semidirect
3. C3×#2438C2semidirect
4. #82771C2semidirect
5. #82271C2semidirect
6. #78365C2semidirect
7. #78346C2semidirect
8. #77978C2semidirect
9. #77972C2semidirect
10. #77957C2semidirect
11. #77953C2semidirect
12. #77267C2semidirect
13. #77250C2semidirect
14. #76613C2semidirect
15. #76513C2semidirect
16. #76217C2semidirect
17. #76213C2semidirect
18. #75324C2semidirect
19. #75320C2semidirect
20. #75320C2semidirect
21. #75309C2semidirect
22. #74601C2semidirect
23. #74596C2semidirect
24. #74408C2semidirect
25. #74406C2semidirect
26. #74125C2semidirect
27. D3×#381C2semidirect
28. #74029C2semidirect
29. #74018C2semidirect
30. #73368C2semidirect
31. C2×#4665C2semidirect
47. C2×#897C22semidirect
48. C2×#897C22semidirect
54. C2×#895C22semidirect
55. C2×#895C22semidirect
58. C2×#894C22semidirect
60. C2×#893C22semidirect
70. C2×C4×D12C22semidirect
71. C2×C4×D12C22semidirect
72. C2×C4×D12C22semidirect
73. C2×C4×D12C22semidirect
74. C3×#400C22semidirect
75. C3×#398C22semidirect
76. C3×#398C22semidirect
77. C3×#395C22semidirect
78. C3×#391C22semidirect
79. C3×#389C22semidirect
80. C3×#387C22semidirect
81. C3×#387C22semidirect
87. #5231C22semidirect
88. #5229C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4992C22semidirect
96. #4992C22semidirect
97. #4992C22semidirect
100. #4991C22semidirect
101. #4991C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4988C22semidirect
116. #4987C22semidirect
117. #4987C22semidirect
118. #4986C22semidirect
119. #4986C22semidirect
120. #4982C22semidirect
121. #4980C22semidirect
122. #4977C22semidirect
130. #4940C22semidirect
131. #4940C22semidirect
132. C4×(C2×D3)⋊C4C22semidirect
133. C4×(C2×D3)⋊C4C22semidirect
134. #4675C22semidirect
135. #4675C22semidirect
136. #4674C22semidirect
137. #4674C22semidirect
138. #4673C22semidirect
139. #4673C22semidirect
140. #4672C22semidirect
143. #4671C22semidirect
144. #4671C22semidirect
145. #4670C22semidirect
146. #4670C22semidirect
147. #4669C22semidirect
148. #4667C22semidirect
149. #4666C22semidirect
150. #4666C22semidirect
161. #4665C22semidirect
162. #4665C22semidirect
163. #4665C22semidirect
164. #4665C22semidirect
165. #4665C22semidirect
166. #4665C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. D3×#95C22semidirect
182. D3×#95C22semidirect
183. D3×#95C22semidirect
184. D3×#95C22semidirect
185. D3×#95C22semidirect
186. #4660C22semidirect
187. #4655C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
205. #2438D3semidirect
373. #882D4semidirect
467. #400C2×D3semidirect
469. #398C2×D3semidirect
470. #398C2×D3semidirect
480. #395C2×D3semidirect
499. #391C2×D3semidirect
501. #389C2×D3semidirect
514. #387C2×D3semidirect
515. #387C2×D3semidirect
612. C22×C3×C4#41semidirect
690. C2×D12#41semidirect
1328. C22×C4#239semidirect
1768. C3#59009semidirect

Maximal subgroups

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

subgroupindex
C2×#56302
C2×#55242
C3×#24382
#827712
#822712
#783652
#783462
#779782
#779722
#779572
#779532
#772672
#772502
#766132
#765132
#762172
#762132
#753242
#753202
#753092
#746012
#745962
#744082
#744062
#741252
D3×#3812
#740292
#740182
#733682
C2×#46652
#590093