Finite Group Databasebeta

← #11097979

Subgroups — #11097979

Order 768.

2768 conjugacy classes of subgroups.

The subgroup lattice has 1910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5591C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2679C211yesmaximal, characteristic, complemented
4#82609C211yesmaximal, characteristic, complemented
5#82607C211yesmaximal, characteristic, complemented
6#82597C211yesmaximal, characteristic, complemented
7#82596C211yesmaximal, characteristic, complemented
8#82594C211yesmaximal, characteristic, complemented
9#82591C211yesmaximal, characteristic, complemented
10#82589C211yesmaximal, characteristic, complemented
11#82588C211yesmaximal, characteristic, complemented
12#82586C211yesmaximal, characteristic, complemented
13#82581C211yesmaximal, characteristic, complemented
14#77113C211yesmaximal, characteristic, complemented
15#77087C211yesmaximal, characteristic, complemented
16#77086C211yesmaximal, characteristic, complemented
17#77006C211yesmaximal, characteristic, complemented
18#77005C211yesmaximal, characteristic, complemented
19#76998C211yesmaximal, characteristic, complemented
20#76981C211yesmaximal, characteristic, complemented
21#76979C211yesmaximal, characteristic, complemented
22#76948C211yesmaximal, characteristic, complemented
23#76926C211yesmaximal, characteristic, complemented
24#76906C211yesmaximal, characteristic, complemented
25#76889C211yesmaximal, characteristic, complemented
26#76463C211yesmaximal, characteristic, complemented
27#76377C211yesmaximal, characteristic, complemented
28#76354C211yesmaximal, characteristic, complemented
29#76347C211yesmaximal, characteristic, complemented
30#76318C211yesmaximal, characteristic, complemented
31#76303C211yesmaximal, characteristic, complemented
32#40506—31nomaximal, Sylow
33C23×#67C2211yescharacteristic, complemented
34C22×#237C2211yescharacteristic
35C2×C3×#120C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic, complemented
40C2×C3×#120C2211yescharacteristic, complemented
41C2×#953C2211yescharacteristic, complemented
42C2×#953C2211yescharacteristic, complemented
43C2×#953C2211yescharacteristic, complemented
44C2×#953C2211yescharacteristic, complemented
45C22×#217C2211yescharacteristic, complemented
46C22×#217C2211yescharacteristic, complemented
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic
59C2×#936C2211yescharacteristic
60C2×#935C2211yescharacteristic
61C2×#935C2211yescharacteristic, complemented
62C2×D4×Dic3C2211yescharacteristic
63#5593—28no—
64#5591—28no—
65C2×#896C2211yescharacteristic, complemented
66C2×#893C2211yescharacteristic, complemented
67C2×#886C2211yescharacteristic, complemented
68C2×#886C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×#67⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#879C2211yescharacteristic, complemented
81C2×#878C2211yescharacteristic, complemented
82C2×#878C2211yescharacteristic, complemented
83C2×#878C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#394C2211yescharacteristic, complemented
89C3×#394C2211yescharacteristic, complemented
90C3×#390C2211yescharacteristic
91C3×#390C2211yescharacteristic, complemented
92C3×#390C2211yescharacteristic, complemented
93#5247C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5222C2211yescharacteristic
104#5222C2211yescharacteristic
105#5222C2211yescharacteristic, complemented
106#5221C2211yescharacteristic
107#5221C2211yescharacteristic, complemented
108#5221C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4993C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4990C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4977C2211yescharacteristic, complemented
121Dic3×C4⋊C4C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4958C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4955C2211yescharacteristic, complemented
155#4953C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4950C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4949C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4947C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4945C2211yescharacteristic, complemented
170#4944C2211yescharacteristic, complemented
171#4944C2211yescharacteristic, complemented
172#4944C2211yescharacteristic, complemented
173#4943C2211yescharacteristic, complemented
174#4943C2211yescharacteristic, complemented
175Dic3×C22⋊C4C2211yescharacteristic, complemented
176Dic3×C22⋊C4C2211yescharacteristic, complemented
177Dic3×C22⋊C4C2211yescharacteristic, complemented
178#4940C2211yescharacteristic, complemented
179#4939C2211yescharacteristic, complemented
180C4×C4⋊Dic3C2211yescharacteristic, complemented
181C4×Dic3⋊C4C2211yescharacteristic, complemented
182#4673C2211yescharacteristic, complemented
183#4673C2211yescharacteristic, complemented
184#4668C2211yescharacteristic, complemented
185#4666C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4658C2211yescharacteristic, complemented
188#4657C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2819—31no—
193#2816—31no—
194#2681—31no—
195#2681—31no—
196#2679—31no—
197#2679D311yescharacteristic, complemented
198#2678—31no—
199#2678—31no—
200#2669—31no—
201#2669—31no—
202#2663—31no—
203#2662—31no—
204#2636—31no—
205#2635—31no—
206#2613—31no—
207#2554—31no—
208#2554—31no—
209#2540—31no—
210#2539—31no—
211#2472—31no—
212#2472—31no—
213#2445—31no—
214#2445—31no—
215#2433—31no—
216#2424—31no—
217#2424—31no—
218#2404—31no—
219#2388—31no—
220#2357—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×#67—24no—
234C22×#67—42no—
235C22×#67—42no—
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C2×#237—24no—
258C2×#237—42no—
259C2×#237—42no—
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C3×#120—24no—
268C3×#120—24no—
269C3×#120—42no—
270C3×#120—42no—
271C3×#120—42no—
272C3×#120—42no—
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×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295#953—24no—
296#953—42no—
297#953—42no—
298#953—42no—
299C2×#217—24no—
300C2×#217—24no—
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327#940—42no—
328#940—42no—
329#939—24no—
330#939—24no—
331#939—24no—
332#939—24no—
333#939—42no—
334#938—24no—
335#938—24no—
336#937—24no—
337#937—42no—
338#937—42no—
339#936—24no—
340#935—24no—
341#935—42no—
342D4×Dic3D418yescomplemented
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#896—42no—
389#893—42no—
390#886—24no—
391#886—42no—
392#885—24no—
393#885—24no—
394#884—42no—
395#883—24no—
396#883—24no—
397#882—42no—
398#67⋊C4—24no—
399#67⋊C4—24no—
400#67⋊C4—42no—
401D3×C22⋊C4—24no—
402#879—24no—
403#879—24no—
404#878—24no—
405#878—24no—
406#878—42no—
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4—31no—
431#546—68no—
432#538—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#126—31no—
436C2×#126—31no—
437C2×#124—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120C2×D311yescharacteristic
467C2×#120C2×D311yescharacteristic
468C2×#120C2×D311yescharacteristic
469C2×#120C2×D311yescharacteristic
470C2×#120C2×D311yescharacteristic, complemented
471C2×#120C2×D311yescharacteristic, complemented
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#398—31no—
485#398—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—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#394—31no—
511#394C2×D311yescharacteristic
512#394C2×D311yescharacteristic
513#394C2×D311yescharacteristic, complemented
514#394C2×D311yescharacteristic, complemented
515#394C2×D311yescharacteristic, complemented
516#394C2×D311yescharacteristic, complemented
517#393—31no—
518#393—31no—
519#393—31no—
520#393—31no—
521#393—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#390—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390C2×D311yescharacteristic
548#390C2×D311yescharacteristic, complemented
549#390C2×D311yescharacteristic, complemented
550#389—31no—
551#389—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#385—31no—
573#385—31no—
574#382—31no—
575#381—31no—
576#381—31no—
577#379—31no—
578#379—31no—
579C4×C4⋊C4—31no—
580C4×C4⋊C4—31no—
581C4×C4⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4C2×D414yes—
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—416no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3C2×D414yes—
715C22×Dic3C2×D414yes—
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729#237—416no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—41no—
748C2×Dic6—41no—
749C2×Dic6—41no—
750C2×Dic6—41no—
751C3×C4⋊C4—41no—
752C3×C4⋊C4—41no—
753C3×C4⋊C4—41no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C42—41no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217C2×D414yes—
798#217C2×D414yes—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819C4⋊Dic3—22no—
820C4⋊Dic3—22no—
821C4⋊Dic3—22no—
822C4⋊Dic3—41no—
823C4⋊Dic3—41no—
824C4⋊Dic3C2×D414yes—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837C4×Dic3—22no—
838C4×Dic3—41no—
839C4×Dic3—41no—
840C4×Dic3—41no—
841C4×Dic3—41no—
842C4×Dic3—41no—
843C4×Dic3C2×D414yes—
844C25—31no—
845C25C22×D311yescharacteristic
846C25C22×D311yescharacteristic
847C2×#41—64no—
848C2×#41—122no—
849C2×#41—122no—
850C22×Q8—31no—
851C22×Q8—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—64no—
871C22×D4—122no—
872C22×D4—122no—
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C22×D4C22×D311yescharacteristic
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890#127—122no—
891#127—122no—
892#126—64no—
893#126—64no—
894#124—64no—
895#124—64no—
896#124—64no—
897#123—64no—
898#123—64no—
899#123—64no—
900#123—64no—
901#123—122no—
902#123—122no—
903C22⋊Q8—64no—
904C22⋊Q8—64no—
905C22⋊Q8—122no—
906C22⋊Q8—122no—
907#121—64no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—122no—
914#121—122no—
915#120—24no—
916#120—24no—
917#120—42no—
918#120—42no—
919#120—42no—
920#120—42no—
921#120—64no—
922#120—64no—
923#120—122no—
924#120—122no—
925#120—122no—
926#120—122no—
927#120—122no—
928#120—122no—
929C4×D4—38no—
930C4×D4—64no—
931C4×D4—64no—
932C4×D4—122no—
933C4×D4—122no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—64no—
1002C2×C22⋊C4—64no—
1003C2×C22⋊C4—64no—
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026C2×C42—31no—
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42C22×D311yescharacteristic
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—82no—
1095C23×C3—82no—
1096C23×C3—82no—
1097C23×C3—82no—
1098C23×C3—82no—
1099C23×C3—82no—
1100C23×C3—82no—
1101C23×C3—82no—
1102C23×C3—82no—
1103C23×C3—82no—
1104C23×C3—82no—
1105C23×C3C22×D412yes—
1106C23×C3C22×D412yes—
1107C23×C3H(5,𝔽2)12yes—
1108C23×C3C2511yescharacteristic
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3H(5,𝔽2)12yes—
1137C3×D4—44no—
1138C3×D4—44no—
1139C3×D4—82no—
1140C3×D4—82no—
1141C3×D4—82no—
1142C3×D4—82no—
1143C3×D4—82no—
1144C3×D4—82no—
1145C3×D4—82no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4C22×D412yes—
1172C2×C3×C4H(5,𝔽2)12yes—
1173#67—28no—
1174#67—44no—
1175#67—44no—
1176#67—44no—
1177#67—44no—
1178#67—44no—
1179#67—44no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
1187#67—82no—
1188#67—82no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—44no—
1224C2×Dic3—44no—
1225C2×Dic3—44no—
1226C2×Dic3—82no—
1227C2×Dic3—82no—
1228C2×Dic3C22×D412yes—
1229C2×Dic3C22×D412yes—
1230C2×Dic3C22×D412yes—
1231C2×Dic3C22×D412yes—
1232C2×Dic3H(5,𝔽2)12yes—
1233D12—44no—
1234D12—82no—
1235C4×D3—44no—
1236C4×D3—82no—
1237C4×D3—82no—
1238Dic6—44no—
1239Dic6—82no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—31no—
1244C24—31no—
1245C24—31no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24—41no—
1250C24—41no—
1251C24—41no—
1252C24—41no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24—62no—
1258C24—62no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266C24C23×D311yescharacteristic
1267C24C23×D311yescharacteristic
1268C24C23×D311yescharacteristic
1269C24C23×D311yescharacteristic
1270#41—1216no—
1271C2×Q8—62no—
1272C2×Q8—62no—
1273C2×Q8—121no—
1274C2×Q8—121no—
1275C2×Q8—121no—
1276C2×Q8—121no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—1216no—
1358C2×D4D3×D414yes—
1359C22×C4—31no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—34no—
1365C22×C4—34no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
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—121no—
1383C22×C4—121no—
1384C22×C4—121no—
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×C4—121no—
1396C22×C4C23×D311yescharacteristic
1397C22×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C4⋊C4—34no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—121no—
1422C4⋊C4—121no—
1423C4⋊C4—121no—
1424C4⋊C4—121no—
1425C4⋊C4—121no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—34no—
1438C22⋊C4—34no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C42—34no—
1491C42—41no—
1492C42—62no—
1493C42—121no—
1494C42—121no—
1495C42—121no—
1496C42—121no—
1497C42—121no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—88no—
1541C22×C3—88no—
1542C22×C3C23×D411yescharacteristic
1543C22×C3C2×H(5,𝔽2)11yescharacteristic
1544C22×C3C2×H(5,𝔽2)11yescharacteristic
1545C22×C3C2×H(5,𝔽2)11yescharacteristic
1546C22×C3C2×H(5,𝔽2)11yescharacteristic
1547C22×C3#58511yescharacteristic
1548C22×C3#58511yescharacteristic
1549C2×D3—22no—
1550C2×D3—22no—
1551C2×D3—22no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—88no—
1571C3×C4—22no—
1572C3×C4—22no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577C3×C4—41no—
1578C3×C4—41no—
1579C3×C4—41no—
1580Dic3—22no—
1581Dic3—22no—
1582Dic3—22no—
1583Dic3—22no—
1584Dic3—22no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590Dic3—41no—
1591Dic3—41no—
1592Dic3—41no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—32no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—82no—
1661C23—82no—
1662C23—82no—
1663C23—82no—
1664C23—82no—
1665C23—82no—
1666C23—82no—
1667C23—124no—
1668C23—124no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23C2×D3×D412yes—
1675C23C2×D3×D412yes—
1676C23#100412yes—
1677C23C24×D311yescharacteristic
1678Q8—124no—
1679Q8—242no—
1680D4—44no—
1681D4—44no—
1682D4—68no—
1683D4—82no—
1684D4—82no—
1685D4—82no—
1686D4—82no—
1687D4—82no—
1688D4—82no—
1689D4—82no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—124no—
1695D4—124no—
1696D4—124no—
1697D4—242no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701D4—242no—
1702D4—242no—
1703D4—242no—
1704D4—242no—
1705D4—242no—
1706D4—242no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—32no—
1733C2×C4—32no—
1734C2×C4—32no—
1735C2×C4—32no—
1736C2×C4—32no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—124no—
1772C2×C4—124no—
1773C2×C4—124no—
1774C2×C4—124no—
1775C2×C4—242no—
1776C2×C4—242no—
1777C2×C4—242no—
1778C2×C4—242no—
1779C2×C4C2×D3×D412yes—
1780C2×C4#100412yes—
1781C2×C3—42no—
1782C2×C3—42no—
1783C2×C3—42no—
1784C2×C3—81no—
1785C2×C3—81no—
1786C2×C3—81no—
1787C2×C3#344911yescharacteristic
1788C2×C3#348411yescharacteristic
1789C2×C3#349811yescharacteristic
1790C2×C3#353411yescharacteristic
1791C2×C3#353411yescharacteristic
1792C2×C3#355811yescharacteristic
1793C2×C3#355811yescharacteristic
1794D3—42no—
1795D3—81no—
1796D3—81no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—62no—
1840C22—62no—
1841C22—62no—
1842C22—88no—
1843C22—88no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—248no—
1863C22C22×D3×D411yescharacteristic
1864C22C2×#100411yescharacteristic
1865C22C2×#100411yescharacteristic
1866C22D3×H(5,𝔽2)11yescharacteristic
1867C22D3×H(5,𝔽2)11yescharacteristic
1868C22#596611yescharacteristic
1869C22#596611yescharacteristic
1870C4—22no—
1871C4—22no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—62no—
1880C4—62no—
1881C4—62no—
1882C4—62no—
1883C4—62no—
1884C4—121no—
1885C4—121no—
1886C4—121no—
1887C4—121no—
1888C4—121no—
1889C4—121no—
1890C4—121no—
1891C4—121no—
1892C3#4050611yescharacteristic, complemented, Sylow
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—122no—
1900C2—241no—
1901C2—241no—
1902C2#8629411yescharacteristic
1903C2#8631111yescharacteristic
1904C2#8631211yescharacteristic
1905C2#8660811yescharacteristic
1906C2#8661811yescharacteristic
1907C2#8662011yescharacteristic
1908C2#8709211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2679C2
hypercenter#2679D3
hypocenterC3#40506
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2679

Complements

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

NH ≅ G/Ntype
1. C2×#5591C2semidirect
2. C2×#5593C2semidirect
3. C3×#2679C2semidirect
4. #82609C2semidirect
5. #82607C2semidirect
6. #82597C2semidirect
7. #82596C2semidirect
8. #82594C2semidirect
9. #82591C2semidirect
10. #82589C2semidirect
11. #82588C2semidirect
12. #82586C2semidirect
13. #82581C2semidirect
14. #77113C2semidirect
15. #77087C2semidirect
16. #77086C2semidirect
17. #77006C2semidirect
18. #77005C2semidirect
19. #76998C2semidirect
20. #76981C2semidirect
21. #76979C2semidirect
22. #76948C2semidirect
23. #76926C2semidirect
24. #76906C2semidirect
25. #76889C2semidirect
26. #76463C2semidirect
27. #76377C2semidirect
28. #76354C2semidirect
29. #76347C2semidirect
30. #76318C2semidirect
31. #76303C2semidirect
33. C23×#67C22semidirect
39. C2×C3×#120C22semidirect
40. C2×C3×#120C22semidirect
41. C2×#953C22semidirect
42. C2×#953C22semidirect
43. C2×#953C22semidirect
44. C2×#953C22semidirect
45. C22×#217C22semidirect
46. C22×#217C22semidirect
53. C2×#939C22semidirect
61. C2×#935C22semidirect
65. C2×#896C22semidirect
66. C2×#893C22semidirect
67. C2×#886C22semidirect
68. C2×#886C22semidirect
69. C2×#885C22semidirect
70. C2×#885C22semidirect
71. C2×#884C22semidirect
72. C2×#883C22semidirect
73. C2×#883C22semidirect
74. C2×#882C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×#67⋊C4C22semidirect
77. C2×#67⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×#879C22semidirect
80. C2×#879C22semidirect
81. C2×#878C22semidirect
82. C2×#878C22semidirect
83. C2×#878C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#394C22semidirect
89. C3×#394C22semidirect
91. C3×#390C22semidirect
92. C3×#390C22semidirect
93. #5247C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
105. #5222C22semidirect
107. #5221C22semidirect
108. #5221C22semidirect
109. #5220C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
113. #4994C22semidirect
114. #4994C22semidirect
115. #4993C22semidirect
116. #4991C22semidirect
117. #4990C22semidirect
118. #4982C22semidirect
119. #4979C22semidirect
120. #4977C22semidirect
121. Dic3×C4⋊C4C22semidirect
122. #4972C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4958C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
154. #4955C22semidirect
155. #4953C22semidirect
156. #4952C22semidirect
157. #4951C22semidirect
158. #4950C22semidirect
159. #4949C22semidirect
160. #4949C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4947C22semidirect
164. #4947C22semidirect
165. #4947C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4945C22semidirect
170. #4944C22semidirect
171. #4944C22semidirect
172. #4944C22semidirect
173. #4943C22semidirect
174. #4943C22semidirect
175. Dic3×C22⋊C4C22semidirect
176. Dic3×C22⋊C4C22semidirect
177. Dic3×C22⋊C4C22semidirect
178. #4940C22semidirect
179. #4939C22semidirect
180. C4×C4⋊Dic3C22semidirect
181. C4×Dic3⋊C4C22semidirect
182. #4673C22semidirect
183. #4673C22semidirect
184. #4668C22semidirect
185. #4666C22semidirect
186. #4665C22semidirect
187. #4658C22semidirect
188. #4657C22semidirect
189. #4647C22semidirect
197. #2679D3semidirect
342. D4×Dic3D4semidirect
470. C2×#120C2×D3semidirect
471. C2×#120C2×D3semidirect
513. #394C2×D3semidirect
514. #394C2×D3semidirect
515. #394C2×D3semidirect
516. #394C2×D3semidirect
548. #390C2×D3semidirect
549. #390C2×D3semidirect
1892. C3#40506semidirect

Maximal subgroups

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

subgroupindex
C2×#55912
C2×#55932
C3×#26792
#826092
#826072
#825972
#825962
#825942
#825912
#825892
#825882
#825862
#825812
#771132
#770872
#770862
#770062
#770052
#769982
#769812
#769792
#769482
#769262
#769062
#768892
#764632
#763772
#763542
#763472
#763182
#763032
#405063