Finite Group Databasebeta

← #10983102

Subgroups — #10983102

Order 768.

2704 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5705C211yesmaximal, characteristic, complemented
2C2×#5676C211yesmaximal, characteristic, complemented
3C3×#2521C211yesmaximal, characteristic, complemented
4#83109C211yesmaximal, characteristic, complemented
5#82967C211yesmaximal, characteristic, complemented
6#78107C211yesmaximal, characteristic, complemented
7#78058C211yesmaximal, characteristic, complemented
8#77684C211yesmaximal, characteristic, complemented
9#77515C211yesmaximal, characteristic, complemented
10#77174C211yesmaximal, characteristic, complemented
11#77169C211yesmaximal, characteristic, complemented
12D3×#394C211yesmaximal, characteristic, complemented
13#76917C211yesmaximal, characteristic, complemented
14#76629C211yesmaximal, characteristic, complemented
15#76498C211yesmaximal, characteristic, complemented
16#75910C211yesmaximal, characteristic, complemented
17#75836C211yesmaximal, characteristic, complemented
18#75833C211yesmaximal, characteristic, complemented
19#75646C211yesmaximal, characteristic, complemented
20#75551C211yesmaximal, characteristic, complemented
21#75526C211yesmaximal, characteristic, complemented
22#75374C211yesmaximal, characteristic, complemented
23#75308C211yesmaximal, characteristic, complemented
24#74888C211yesmaximal, characteristic, complemented
25#74761C211yesmaximal, characteristic, complemented
26#74018C211yesmaximal, characteristic, complemented
27#73893C211yesmaximal, characteristic, complemented
28#73777C211yesmaximal, characteristic, complemented
29#73774C211yesmaximal, characteristic, complemented
30#73600C211yesmaximal, characteristic, complemented
31#73560C211yesmaximal, characteristic, complemented
32#35764—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#124C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#944C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43#5705—28no—
44#5676—28no—
45C2×#897C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic, complemented
53C2×#893C2211yescharacteristic, complemented
54C2×#892C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×#885C2211yescharacteristic, complemented
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic, complemented
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#875C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C2×C4×D12C2211yescharacteristic
77C2×#872C2211yescharacteristic, complemented
78C3×#399C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#395C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#391C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#380C2211yescharacteristic, complemented
89C3×C4×C4⋊C4C2211yescharacteristic, complemented
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5231C2211yescharacteristic, complemented
92#5222C2211yescharacteristic
93#5213C2211yescharacteristic, complemented
94C4×#217C2211yescharacteristic, complemented
95#4993C2211yescharacteristic, complemented
96#4992C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic, complemented
100#4991C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic, complemented
104#4988C2211yescharacteristic, complemented
105#4988C2211yescharacteristic, complemented
106#4985C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4984C2211yescharacteristic, complemented
109#4982C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4955C2211yescharacteristic
131#4951C2211yescharacteristic, complemented
132#4951C2211yescharacteristic, complemented
133#4947C2211yescharacteristic, complemented
134#4945C2211yescharacteristic, complemented
135#4944C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137Dic3×C22⋊C4C2211yescharacteristic, complemented
138Dic3×C22⋊C4C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4939C2211yescharacteristic, complemented
143C4×(C2×D3)⋊C4C2211yescharacteristic
144C4×(C2×D3)⋊C4C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4672C2211yescharacteristic
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic
183D3×#95C2211yescharacteristic
184#4660C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#546—31no—
192#2663—31no—
193#2661—31no—
194#2617—31no—
195#2602—31no—
196#2602—31no—
197#2559—31no—
198#2559—31no—
199#2555—31no—
200#2553—31no—
201#2539—31no—
202#2521D311yescharacteristic, complemented
203#2500—31no—
204#2491—31no—
205#2488—31no—
206#2472—31no—
207#2464—31no—
208#2440—31no—
209#2432—31no—
210#2422—31no—
211#2412—31no—
212#2410—31no—
213#2395—31no—
214#2388—31no—
215C2×#394—31no—
216#2361—31no—
217#2359—31no—
218#2358—31no—
219#2342—31no—
220#2273—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×#239—24no—
234C2×#239—42no—
235C2×#239—42no—
236C2×D3×D4—24no—
237C2×D3×D4—42no—
238C2×D3×D4—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#126—24no—
260C3×#124—24no—
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290#946—24no—
291#944—42no—
292#939—42no—
293#938—24no—
294#930—42no—
295C2×(C2×D3)⋊C4—24no—
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#897—24no—
361#896—24no—
362#895—24no—
363#894—24no—
364#894—24no—
365#894—24no—
366#893—24no—
367#893—42no—
368#893—42no—
369#892—24no—
370D3×C4⋊C4—42no—
371#885—24no—
372#884—24no—
373#884—24no—
374#883—24no—
375#883—24no—
376#883—24no—
377#882—24no—
378#882—24no—
379#882—24no—
380#882—24no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—24no—
385D3×C22⋊C4—42no—
386D3×C22⋊C4D418yescomplemented
387#879—24no—
388#875—42no—
389C4×D12—24no—
390C4×D12—24no—
391C4×D12—24no—
392#872—24no—
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—
425#551—68no—
426#546—68no—
427C2×C4⋊Q8—31no—
428C2×#126—31no—
429C2×#126C2×D311yescharacteristic, complemented
430C2×#124—31no—
431C2×#124—31no—
432C2×#124C2×D311yescharacteristic
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×#117—31no—
459C2×#117—31no—
460C22×C4⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399C2×D311yescharacteristic, complemented
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic, complemented
480#395—31no—
481#395C2×D311yescharacteristic, complemented
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—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#394C2×D311yescharacteristic
500#393—31no—
501#393—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#391C2×D311yescharacteristic, complemented
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388C2×D311yescharacteristic, complemented
532#388C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#384—31no—
555#382—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380C2×D311yescharacteristic, complemented
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4C2×D311yescharacteristic, complemented
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
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×D3C2×D414yes—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—41no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
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
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C22×Dic3—22no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655#239—416no—
656D3×D4—416no—
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—22no—
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×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3C2×D414yes—
712C2×C4×D3C2×D414yes—
713C2×C4×D3#4114yescomplemented
714C2×Dic6—22no—
715C2×Dic6—41no—
716C2×Dic6—41no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—22no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—22no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—41no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4C2×D414yes—
735C3×C42—22no—
736C3×C42—22no—
737C3×C42—41no—
738C3×C42—41no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—41no—
744#217—41no—
745#217C2×D414yes—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—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—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4C2×D414yes—
782(C2×D3)⋊C4C2×D414yes—
783(C2×D3)⋊C4#4114yescomplemented
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—41no—
789C4⋊Dic3—41no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802C4×Dic3—22no—
803C4×Dic3—22no—
804C4×Dic3—41no—
805C4×Dic3—41no—
806C4×Dic3—41no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C25—31no—
811C25—31no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C22×Q8—31no—
816C22×Q8C22×D311yescharacteristic
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—64no—
832C22×D4—122no—
833C22×D4—122no—
834C22×D4C22×D311yescharacteristic
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4C22×D311yescharacteristic
848C4⋊Q8—122no—
849#126—24no—
850#126—64no—
851#124—24no—
852#124—64no—
853#124—122no—
854#123—64no—
855#123—64no—
856#123—64no—
857#123—64no—
858#123—64no—
859#123—64no—
860C22⋊Q8—64no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863#121—64no—
864#121—64no—
865#121—64no—
866#121—64no—
867#121—122no—
868#121—122no—
869#120—64no—
870#120—64no—
871#120—64no—
872#120—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—122no—
878C4×D4—122no—
879#117—64no—
880#117—64no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—122no—
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×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—38no—
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—64no—
954C2×C22⋊C4—64no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—64no—
957C2×C22⋊C4—64no—
958C2×C22⋊C4—122no—
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42—31no—
978C2×C42C22×D311yescharacteristic
979C2×C42C22×D311yescharacteristic
980C2×C42C22×D311yescharacteristic
981C2×C42C22×D311yescharacteristic
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#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
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3C22×D412yes—
1026C23×C3C2511yescharacteristic
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—28no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—44no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3—82no—
1067C22×D3—82no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3C2×#4112yes—
1074C22×D3C2×#4112yes—
1075C22×D3H(5,𝔽2)12yes—
1076C3×Q8—44no—
1077C3×D4—44no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
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—82no—
1113C2×C3×C4C22×D412yes—
1114C2×C3×C4C22×D412yes—
1115C2×C3×C4C2×#4112yes—
1116C2×C3×C4C2×#4112yes—
1117C2×C3×C4H(5,𝔽2)12yes—
1118#67—44no—
1119#67—44no—
1120#67—82no—
1121#67—82no—
1122#67—82no—
1123#67—82no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
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—82no—
1154C2×Dic3C22×D412yes—
1155C2×Dic3C22×D412yes—
1156C2×Dic3C2×#4112yes—
1157C2×Dic3C2×#4112yes—
1158D12—28no—
1159D12—44no—
1160D12—44no—
1161D12—44no—
1162D12—44no—
1163D12—44no—
1164D12—44no—
1165D12—44no—
1166C4×D3—44no—
1167C4×D3—44no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—44no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—82no—
1174C4×D3—82no—
1175C4×D3—82no—
1176C4×D3—82no—
1177Dic6—82no—
1178C24—31no—
1179C24—31no—
1180C24—31no—
1181C24—34no—
1182C24—31no—
1183C24—31no—
1184C24—62no—
1185C24—62no—
1186C24—62no—
1187C24—62no—
1188C24—62no—
1189C24—62no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24—121no—
1195C24—121no—
1196C24—121no—
1197C24C23×D311yescharacteristic
1198C24C23×D311yescharacteristic
1199#41—1216no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—41no—
1203C2×Q8—62no—
1204C2×Q8—121no—
1205C2×Q8—121no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
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—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—1216no—
1252C22×C4—22no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—34no—
1258C22×C4—34no—
1259C22×C4—34no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4C23×D311yescharacteristic
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—41no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—34no—
1349C22⋊C4—34no—
1350C22⋊C4—34no—
1351C22⋊C4—34no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
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—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—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4D3×D414yes—
1396C42—22no—
1397C42—22no—
1398C42—41no—
1399C42—41no—
1400C42—62no—
1401C42—62no—
1402C42—121no—
1403C42—121no—
1404C42—121no—
1405C42—121no—
1406C42—121no—
1407C42—121no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3C23×D411yescharacteristic
1423C22×C3C22×#4111yescharacteristic
1424C22×C3C22×#4111yescharacteristic
1425C22×C3C2×H(5,𝔽2)11yescharacteristic
1426C22×C3C2×H(5,𝔽2)11yescharacteristic
1427C22×C3#58511yescharacteristic
1428C22×C3#58511yescharacteristic
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—22no—
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—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
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—88no—
1464C2×D3—88no—
1465C2×D3#53214yes—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—22no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479Dic3—22no—
1480Dic3—22no—
1481Dic3—22no—
1482Dic3—22no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—32no—
1504C23—32no—
1505C23—32no—
1506C23—32no—
1507C23—32no—
1508C23—68no—
1509C23—61no—
1510C23—61no—
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—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—124no—
1540C23—124no—
1541C23—124no—
1542C23—124no—
1543C23—124no—
1544C23—124no—
1545C23—242no—
1546C23—242no—
1547C23—242no—
1548C23—242no—
1549C23—242no—
1550C23—242no—
1551C23—242no—
1552C23C2×D3×D412yes—
1553C23C24×D311yescharacteristic
1554Q8—44no—
1555Q8—242no—
1556D4—44no—
1557D4—68no—
1558D4—124no—
1559D4—124no—
1560D4—124no—
1561D4—124no—
1562D4—124no—
1563D4—124no—
1564D4—124no—
1565D4—124no—
1566D4—124no—
1567D4—242no—
1568D4—242no—
1569D4—242no—
1570D4—242no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—32no—
1606C2×C4—32no—
1607C2×C4—32no—
1608C2×C4—32no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—82no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—124no—
1643C2×C4—124no—
1644C2×C4—124no—
1645C2×C4—124no—
1646C2×C4—242no—
1647C2×C4—242no—
1648C2×C4—242no—
1649C2×C4—242no—
1650C2×C4—242no—
1651C2×C4C2×D3×D412yes—
1652C2×C4C2×D3×D412yes—
1653C2×C4D3×#4112yes—
1654C2×C4D3×#4112yes—
1655C2×C4#100912yes—
1656C2×C3—42no—
1657C2×C3—81no—
1658C2×C3C2×#53211yescharacteristic
1659C2×C3#348411yescharacteristic
1660C2×C3#348511yescharacteristic
1661C2×C3#349411yescharacteristic
1662C2×C3#350511yescharacteristic
1663C2×C3#351311yescharacteristic
1664C2×C3#351411yescharacteristic
1665D3—24no—
1666D3—42no—
1667D3—42no—
1668D3—81no—
1669D3—81no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—34no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—62no—
1686C22—62no—
1687C22—62no—
1688C22—62no—
1689C22—62no—
1690C22—62no—
1691C22—62no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—62no—
1696C22—62no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—248no—
1720C22—248no—
1721C22C22×D3×D411yescharacteristic
1722C22C2×D3×#4111yescharacteristic
1723C22C2×D3×#4111yescharacteristic
1724C22C2×#100911yescharacteristic
1725C22#596411yescharacteristic
1726C22D3×H(5,𝔽2)11yescharacteristic
1727C22#596811yescharacteristic
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—62no—
1742C4—62no—
1743C4—62no—
1744C4—62no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C4—121no—
1749C4—121no—
1750C4—121no—
1751C4—121no—
1752C3#3576411yescharacteristic, complemented, Sylow
1753C2—42no—
1754C2—64no—
1755C2—81no—
1756C2—122no—
1757C2—122no—
1758C2—241no—
1759C2—241no—
1760C2#8615811yescharacteristic
1761C2D3×#53211yescharacteristic
1762C2#8655011yescharacteristic
1763C2#8666211yescharacteristic
1764C2#8670011yescharacteristic
1765C2#8679611yescharacteristic
1766C2#8698611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2521C2
hypercenter#2521D3
hypocenterC3#35764
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5676C2semidirect
3. C3×#2521C2semidirect
4. #83109C2semidirect
5. #82967C2semidirect
6. #78107C2semidirect
7. #78058C2semidirect
8. #77684C2semidirect
9. #77515C2semidirect
10. #77174C2semidirect
11. #77169C2semidirect
12. D3×#394C2semidirect
13. #76917C2semidirect
14. #76629C2semidirect
15. #76498C2semidirect
16. #75910C2semidirect
17. #75836C2semidirect
18. #75833C2semidirect
19. #75646C2semidirect
20. #75551C2semidirect
21. #75526C2semidirect
22. #75374C2semidirect
23. #75308C2semidirect
24. #74888C2semidirect
25. #74761C2semidirect
26. #74018C2semidirect
27. #73893C2semidirect
28. #73777C2semidirect
29. #73774C2semidirect
30. #73600C2semidirect
31. #73560C2semidirect
35. C2×C3×#126C22semidirect
38. C2×#944C22semidirect
45. C2×#897C22semidirect
50. C2×#894C22semidirect
51. C2×#893C22semidirect
52. C2×#893C22semidirect
53. C2×#893C22semidirect
56. C2×#885C22semidirect
61. C2×#883C22semidirect
72. C2×#879C22semidirect
73. C2×#875C22semidirect
77. C2×#872C22semidirect
78. C3×#399C22semidirect
79. C3×#397C22semidirect
80. C3×#395C22semidirect
82. C3×#391C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#388C22semidirect
86. C3×#387C22semidirect
88. C3×#380C22semidirect
89. C3×C4×C4⋊C4C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. #5231C22semidirect
93. #5213C22semidirect
94. C4×#217C22semidirect
95. #4993C22semidirect
96. #4992C22semidirect
97. #4992C22semidirect
99. #4991C22semidirect
100. #4991C22semidirect
101. #4990C22semidirect
103. #4989C22semidirect
104. #4988C22semidirect
105. #4988C22semidirect
106. #4985C22semidirect
107. #4984C22semidirect
108. #4984C22semidirect
109. #4982C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
116. #4960C22semidirect
117. #4960C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
124. #4958C22semidirect
125. #4957C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
129. #4956C22semidirect
131. #4951C22semidirect
132. #4951C22semidirect
133. #4947C22semidirect
134. #4945C22semidirect
135. #4944C22semidirect
136. #4942C22semidirect
137. Dic3×C22⋊C4C22semidirect
138. Dic3×C22⋊C4C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
142. #4939C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×Dic3⋊C4C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
155. #4672C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4669C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
181. #4665C22semidirect
184. #4660C22semidirect
185. #4657C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4650C22semidirect
189. #4647C22semidirect
202. #2521D3semidirect
386. D3×C22⋊C4D4semidirect
429. C2×#126C2×D3semidirect
471. #399C2×D3semidirect
479. #397C2×D3semidirect
481. #395C2×D3semidirect
508. #391C2×D3semidirect
531. #388C2×D3semidirect
532. #388C2×D3semidirect
533. #388C2×D3semidirect
535. #387C2×D3semidirect
559. #380C2×D3semidirect
562. C4×C4⋊C4C2×D3semidirect
578. C4×C22⋊C4C2×D3semidirect
713. C2×C4×D3#41semidirect
783. (C2×D3)⋊C4#41semidirect
1752. C3#35764semidirect

Maximal subgroups

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

subgroupindex
C2×#57052
C2×#56762
C3×#25212
#831092
#829672
#781072
#780582
#776842
#775152
#771742
#771692
D3×#3942
#769172
#766292
#764982
#759102
#758362
#758332
#756462
#755512
#755262
#753742
#753082
#748882
#747612
#740182
#738932
#737772
#737742
#736002
#735602
#357643