Finite Group Databasebeta

← #11098039

Subgroups — #11098039

Order 768.

2742 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5653C211yesmaximal, characteristic, complemented
2C2×#5550C211yesmaximal, characteristic, complemented
3C3×#2630C211yesmaximal, characteristic, complemented
4#82868C211yesmaximal, characteristic, complemented
5#82389C211yesmaximal, characteristic, complemented
6#77979C211yesmaximal, characteristic, complemented
7#77764C211yesmaximal, characteristic, complemented
8#77677C211yesmaximal, characteristic, complemented
9#77668C211yesmaximal, characteristic, complemented
10#77439C211yesmaximal, characteristic, complemented
11#77432C211yesmaximal, characteristic, complemented
12#77421C211yesmaximal, characteristic, complemented
13#77417C211yesmaximal, characteristic, complemented
14#77158C211yesmaximal, characteristic, complemented
15#77147C211yesmaximal, characteristic, complemented
16#77125C211yesmaximal, characteristic, complemented
17#77113C211yesmaximal, characteristic, complemented
18#77110C211yesmaximal, characteristic, complemented
19D3×#394C211yesmaximal, characteristic, complemented
20#76761C211yesmaximal, characteristic, complemented
21#76760C211yesmaximal, characteristic, complemented
22#75921C211yesmaximal, characteristic, complemented
23#75845C211yesmaximal, characteristic, complemented
24#75391C211yesmaximal, characteristic, complemented
25#75316C211yesmaximal, characteristic, complemented
26#74913C211yesmaximal, characteristic, complemented
27#74886C211yesmaximal, characteristic, complemented
28#74634C211yesmaximal, characteristic, complemented
29#74600C211yesmaximal, characteristic, complemented
30#74047C211yesmaximal, characteristic, complemented
31#74007C211yesmaximal, characteristic, complemented
32#40508—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic, complemented
38C2×#938C2211yescharacteristic, complemented
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic, complemented
43C2×#930C2211yescharacteristic, complemented
44C2×#929C2211yescharacteristic
45C2×#924C2211yescharacteristic, complemented
46#5653—28no—
47#5550—28no—
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic, complemented
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic, complemented
72C2×D3×C22⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×#875C2211yescharacteristic, complemented
75C2×C4×D12C2211yescharacteristic
76C3×#398C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#380C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5222C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5210C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4988C2211yescharacteristic, complemented
110#4988C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4981C2211yescharacteristic, complemented
115#4981C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4953C2211yescharacteristic, complemented
147#4953C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4940C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
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
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4664C2211yescharacteristic, complemented
187D3×#95C2211yescharacteristic, complemented
188#4661C2211yescharacteristic, complemented
189#4656C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#534—31no—
192#2814—31no—
193#2812—31no—
194#2701—31no—
195#2701—31no—
196#2699—31no—
197#2688—31no—
198#2686—31no—
199#2686—31no—
200#2682—31no—
201#2671—31no—
202#2663—31no—
203#2630D311yescharacteristic, complemented
204#2622—31no—
205#2617—31no—
206#2613—31no—
207#2602—31no—
208#2534—31no—
209#2486—31no—
210#2483—31no—
211#2425—31no—
212#2424—31no—
213#2419—31no—
214#2418—31no—
215#2412—31no—
216#2412—31no—
217#2406—31no—
218#2404—31no—
219C2×#394—31no—
220D4×C22⋊C4—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C2×D3×D4—24no—
239C2×D3×D4—42no—
240C2×D3×D4—42no—
241C2×#235—24no—
242C2×#235—42no—
243C2×#235—42no—
244C22×D12—42no—
245C22×D12—42no—
246C22×D12D418yescomplemented
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
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×Dic6C2311yescharacteristic
266C3×#123—24no—
267C3×C4×D4—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#938—42no—
303#937—24no—
304#937—24no—
305#937—24no—
306#937—42no—
307#930—24no—
308#929—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349#924—24no—
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×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#895—24no—
364#895—24no—
365#894—24no—
366#894—24no—
367#894—24no—
368#894—24no—
369#894—42no—
370#893—42no—
371#893—42no—
372D3×C4⋊C4—42no—
373#884—24no—
374#884—24no—
375#884—24no—
376#884—24no—
377#883—42no—
378#883—42no—
379#882—24no—
380#882—24no—
381#882—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—24no—
385D3×C22⋊C4—42no—
386D3×C22⋊C4—42no—
387D3×C22⋊C4—42no—
388D3×C22⋊C4—42no—
389#875—24no—
390C4×D12—24no—
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—
424C23×D4—31no—
425C23×D4—31no—
426#546—68no—
427#534—68no—
428C2×#124—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123C2×D311yescharacteristic
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4C2×D311yescharacteristic, complemented
458C22×C4⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic, complemented
484#396—31no—
485#396—31no—
486#396C2×D311yescharacteristic, complemented
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#395—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394C2×D311yescharacteristic
511#394C2×D311yescharacteristic, complemented
512#394C2×D311yescharacteristic, complemented
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392C2×D311yescharacteristic
522#390—31no—
523#390—31no—
524#390—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic, complemented
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385C2×D311yescharacteristic, complemented
562#381—31no—
563#381—31no—
564#381—31no—
565#381—31no—
566#381—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380C2×D311yescharacteristic, complemented
575#379—31no—
576#379—31no—
577#379—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3C2×D414yes—
603C23×D3C2×D414yes—
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C22×C3×C4—22no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2×D414yes—
624C22×C3×C4C2411yescharacteristic
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
636C2×#67—22no—
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—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
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×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674D3×D4—416no—
675#235—416no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—416no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12C2×D414yes—
695C2×D12C2×D414yes—
696C2×D12C2×D414yes—
697C2×D12C2×D414yes—
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—41no—
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—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—41no—
731C2×Dic6—22no—
732C2×Dic6—41no—
733C2×Dic6—41no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—22no—
737C3×C4⋊C4—41no—
738C3×C4⋊C4—41no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
741C3×C4⋊C4—41no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C42—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
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—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
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—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)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803C4⋊Dic3—22no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819C4×Dic3—41no—
820C4×Dic3—41no—
821C25—31no—
822C25—31no—
823C25—31no—
824C2×#41—64no—
825C2×#41—122no—
826C2×#41—122no—
827C22×Q8—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—38no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—64no—
846C22×D4—122no—
847C22×D4—122no—
848C22×D4—122no—
849C22×D4—122no—
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866#124—64no—
867#123—24no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—64no—
873#123—122no—
874#123—122no—
875#123—122no—
876C22⋊Q8—64no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—122no—
885#120—64no—
886#120—64no—
887#120—64no—
888#120—64no—
889#120—64no—
890#120—64no—
891#120—122no—
892C4×D4—24no—
893C4×D4—64no—
894C4×D4—122no—
895C4×D4—122no—
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⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—122no—
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
969C2×C22⋊C4—64no—
970C2×C22⋊C4—64no—
971C2×C22⋊C4—122no—
972C2×C22⋊C4—122no—
973C2×C22⋊C4—122no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C42—31no—
989C2×C42—31no—
990C2×C42C22×D311yescharacteristic
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#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
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×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3C22×D412yes—
1044C23×C3C2511yescharacteristic
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—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—28no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—44no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—44no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3C22×D412yes—
1096C22×D3C22×D412yes—
1097C22×D3C22×D412yes—
1098C22×D3C22×D412yes—
1099C22×D3H(5,𝔽2)12yes—
1100C22×D3H(5,𝔽2)12yes—
1101C3×D4—44no—
1102C3×D4—44no—
1103C3×D4—82no—
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—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
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—44no—
1139C2×C3×C4—44no—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142#67—44no—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—82no—
1147#67—82no—
1148#67—82no—
1149#67—82no—
1150#67—82no—
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—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
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×Dic3H(5,𝔽2)12yes—
1184D12—28no—
1185D12—28no—
1186D12—44no—
1187D12—44no—
1188D12—44no—
1189D12—82no—
1190D12—82no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—44no—
1194C4×D3—44no—
1195C4×D3—82no—
1196C4×D3—82no—
1197C4×D3—82no—
1198C4×D3—82no—
1199C4×D3—82no—
1200C4×D3—82no—
1201C4×D3—82no—
1202Dic6—44no—
1203C24—31no—
1204C24—31no—
1205C24—31no—
1206C24—31no—
1207C24—34no—
1208C24—34no—
1209C24—31no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—62no—
1214C24—62no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24—121no—
1224C24—121no—
1225C24—121no—
1226C24—121no—
1227C24—121no—
1228C24—121no—
1229C24C23×D311yescharacteristic
1230C24C23×D311yescharacteristic
1231C24C23×D311yescharacteristic
1232#41—1216no—
1233C2×Q8—62no—
1234C2×Q8—121no—
1235C2×Q8—121no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—34no—
1239C2×D4—34no—
1240C2×D4—34no—
1241C2×D4—34no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—1216no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—1216no—
1295C22×C4—22no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4D3×D414yes—
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C42—22no—
1442C42—121no—
1443C42—121no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3C23×D411yescharacteristic
1466C22×C3C2×H(5,𝔽2)11yescharacteristic
1467C22×C3C2×H(5,𝔽2)11yescharacteristic
1468C22×C3C2×H(5,𝔽2)11yescharacteristic
1469C22×C3#58511yescharacteristic
1470C22×C3#58511yescharacteristic
1471C22×C3#58511yescharacteristic
1472C2×D3—22no—
1473C2×D3—22no—
1474C2×D3—22no—
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—88no—
1507C2×D3—88no—
1508C2×D3—88no—
1509C2×D3#53414yes—
1510C3×C4—22no—
1511C3×C4—22no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4—41no—
1517C3×C4—41no—
1518C3×C4—41no—
1519C3×C4—41no—
1520C3×C4—41no—
1521C3×C4—41no—
1522Dic3—22no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—32no—
1554C23—32no—
1555C23—32no—
1556C23—32no—
1557C23—32no—
1558C23—32no—
1559C23—68no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—124no—
1590C23—124no—
1591C23—124no—
1592C23—124no—
1593C23—124no—
1594C23—124no—
1595C23—124no—
1596C23—124no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23—242no—
1602C23—242no—
1603C23—242no—
1604C23—242no—
1605C23—242no—
1606C23—242no—
1607C23—242no—
1608C23—242no—
1609C23C2×D3×D412yes—
1610C23C24×D311yescharacteristic
1611Q8—124no—
1612D4—44no—
1613D4—44no—
1614D4—68no—
1615D4—68no—
1616D4—82no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—124no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—32no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—242no—
1705C2×C4—242no—
1706C2×C4—242no—
1707C2×C4—242no—
1708C2×C4—242no—
1709C2×C4—242no—
1710C2×C4—242no—
1711C2×C4C2×D3×D412yes—
1712C2×C4C2×D3×D412yes—
1713C2×C3—42no—
1714C2×C3—81no—
1715C2×C3—81no—
1716C2×C3C2×#53411yescharacteristic
1717C2×C3#348511yescharacteristic
1718C2×C3#349611yescharacteristic
1719C2×C3#353311yescharacteristic
1720C2×C3#353411yescharacteristic
1721C2×C3#354211yescharacteristic
1722C2×C3#354511yescharacteristic
1723D3—24no—
1724D3—42no—
1725D3—42no—
1726D3—42no—
1727D3—81no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—34no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—62no—
1751C22—62no—
1752C22—62no—
1753C22—62no—
1754C22—62no—
1755C22—62no—
1756C22—62no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—248no—
1785C22—248no—
1786C22—248no—
1787C22C22×D3×D411yescharacteristic
1788C22#596411yescharacteristic
1789C22#596411yescharacteristic
1790C22D3×H(5,𝔽2)11yescharacteristic
1791C22D3×H(5,𝔽2)11yescharacteristic
1792C22D3×H(5,𝔽2)11yescharacteristic
1793C22#596811yescharacteristic
1794C4—22no—
1795C4—22no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—62no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C3#4050811yescharacteristic, complemented, Sylow
1818C2—42no—
1819C2—64no—
1820C2—81no—
1821C2—81no—
1822C2—122no—
1823C2—122no—
1824C2—122no—
1825C2—241no—
1826C2#8604011yescharacteristic
1827C2D3×#53411yescharacteristic
1828C2#8638211yescharacteristic
1829C2#8642111yescharacteristic
1830C2#8645711yescharacteristic
1831C2#8647411yescharacteristic
1832C2#8656511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2630C2
hypercenter#2630D3
hypocenterC3#40508
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#5653C2semidirect
2. C2×#5550C2semidirect
3. C3×#2630C2semidirect
4. #82868C2semidirect
5. #82389C2semidirect
6. #77979C2semidirect
7. #77764C2semidirect
8. #77677C2semidirect
9. #77668C2semidirect
10. #77439C2semidirect
11. #77432C2semidirect
12. #77421C2semidirect
13. #77417C2semidirect
14. #77158C2semidirect
15. #77147C2semidirect
16. #77125C2semidirect
17. #77113C2semidirect
18. #77110C2semidirect
19. D3×#394C2semidirect
20. #76761C2semidirect
21. #76760C2semidirect
22. #75921C2semidirect
23. #75845C2semidirect
24. #75391C2semidirect
25. #75316C2semidirect
26. #74913C2semidirect
27. #74886C2semidirect
28. #74634C2semidirect
29. #74600C2semidirect
30. #74047C2semidirect
31. #74007C2semidirect
37. C2×C3×C4×D4C22semidirect
38. C2×#938C22semidirect
41. C2×#937C22semidirect
42. C2×#937C22semidirect
43. C2×#930C22semidirect
45. C2×#924C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
57. C2×D3×C4⋊C4C22semidirect
61. C2×#884C22semidirect
62. C2×#883C22semidirect
63. C2×#883C22semidirect
70. C2×D3×C22⋊C4C22semidirect
71. C2×D3×C22⋊C4C22semidirect
72. C2×D3×C22⋊C4C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×#875C22semidirect
76. C3×#398C22semidirect
77. C3×#397C22semidirect
78. C3×#396C22semidirect
79. C3×#396C22semidirect
81. C3×#394C22semidirect
82. C3×#394C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
86. C3×#386C22semidirect
87. C3×#385C22semidirect
88. C3×#380C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
94. #5222C22semidirect
95. #5213C22semidirect
96. #5210C22semidirect
97. C4×#217C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4992C22semidirect
101. #4992C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4988C22semidirect
110. #4988C22semidirect
111. #4987C22semidirect
112. #4987C22semidirect
113. #4986C22semidirect
114. #4981C22semidirect
115. #4981C22semidirect
116. #4979C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. #4976C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
144. #4955C22semidirect
145. #4955C22semidirect
146. #4953C22semidirect
147. #4953C22semidirect
148. #4952C22semidirect
149. #4952C22semidirect
150. #4952C22semidirect
151. #4949C22semidirect
152. #4947C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4940C22semidirect
157. #4933C22semidirect
158. #4675C22semidirect
159. #4674C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4672C22semidirect
164. #4672C22semidirect
165. #4672C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4667C22semidirect
171. #4667C22semidirect
172. #4667C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4664C22semidirect
181. #4664C22semidirect
182. #4664C22semidirect
183. #4664C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. #4664C22semidirect
187. D3×#95C22semidirect
188. #4661C22semidirect
189. #4656C22semidirect
203. #2630D3semidirect
246. C22×D12D4semidirect
457. C2×C4×D4C2×D3semidirect
471. #398C2×D3semidirect
483. #397C2×D3semidirect
486. #396C2×D3semidirect
487. #396C2×D3semidirect
511. #394C2×D3semidirect
512. #394C2×D3semidirect
533. #388C2×D3semidirect
535. #387C2×D3semidirect
551. #386C2×D3semidirect
561. #385C2×D3semidirect
574. #380C2×D3semidirect
1817. C3#40508semidirect

Maximal subgroups

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

subgroupindex
C2×#56532
C2×#55502
C3×#26302
#828682
#823892
#779792
#777642
#776772
#776682
#774392
#774322
#774212
#774172
#771582
#771472
#771252
#771132
#771102
D3×#3942
#767612
#767602
#759212
#758452
#753912
#753162
#749132
#748862
#746342
#746002
#740472
#740072
#405083