Finite Group Databasebeta

← #11167667

Subgroups — #11167667

Order 768.

2780 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5653C211yesmaximal, characteristic, complemented
2C2×#5661C211yesmaximal, characteristic, complemented
3C3×#2693C211yesmaximal, characteristic, complemented
4#82907C211yesmaximal, characteristic, complemented
5#82854C211yesmaximal, characteristic, complemented
6#78358C211yesmaximal, characteristic, complemented
7#78343C211yesmaximal, characteristic, complemented
8#78239C211yesmaximal, characteristic, complemented
9#78178C211yesmaximal, characteristic, complemented
10#77696C211yesmaximal, characteristic, complemented
11#77673C211yesmaximal, characteristic, complemented
12#77434C211yesmaximal, characteristic, complemented
13D3×#396C211yesmaximal, characteristic, complemented
14#77353C211yesmaximal, characteristic, complemented
15#77284C211yesmaximal, characteristic, complemented
16#76772C211yesmaximal, characteristic, complemented
17#76755C211yesmaximal, characteristic, complemented
18#74902C211yesmaximal, characteristic, complemented
19#74901C211yesmaximal, characteristic, complemented
20#74894C211yesmaximal, characteristic, complemented
21#74893C211yesmaximal, characteristic, complemented
22#74887C211yesmaximal, characteristic, complemented
23#74878C211yesmaximal, characteristic, complemented
24#74876C211yesmaximal, characteristic, complemented
25#74755C211yesmaximal, characteristic, complemented
26#74602C211yesmaximal, characteristic, complemented
27#74397C211yesmaximal, characteristic, complemented
28#74007C211yesmaximal, characteristic, complemented
29#73970C211yesmaximal, characteristic, complemented
30#73904C211yesmaximal, characteristic, complemented
31#73887C211yesmaximal, characteristic, complemented
32#43022—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×#939C2211yescharacteristic, complemented
38C2×#938C2211yescharacteristic, complemented
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic, complemented
43C2×#930C2211yescharacteristic, complemented
44C2×#929C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
50#5661—28no—
51#5653—28no—
52C2×#898C2211yescharacteristic, complemented
53C2×#895C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#893C2211yescharacteristic, complemented
58C2×#893C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×D3×C4⋊C4C2211yescharacteristic, complemented
61C2×D3×C4⋊C4C2211yescharacteristic, complemented
62C2×#889C2211yescharacteristic, complemented
63C2×#886C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic, complemented
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#877C2211yescharacteristic, complemented
81C3×#400C2211yescharacteristic, complemented
82C3×#400C2211yescharacteristic, complemented
83C3×#397C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#385C2211yescharacteristic, complemented
92C3×#380C2211yescharacteristic, complemented
93C3×#380C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic
97#5221C2211yescharacteristic, complemented
98#5220C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5210C2211yescharacteristic, complemented
102C4×#217C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4992C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4988C2211yescharacteristic
113#4988C2211yescharacteristic
114#4988C2211yescharacteristic, complemented
115#4985C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4972C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic, complemented
138#4955C2211yescharacteristic, complemented
139#4955C2211yescharacteristic, complemented
140#4955C2211yescharacteristic, complemented
141#4952C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4946C2211yescharacteristic, complemented
147#4944C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4676C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4670C2211yescharacteristic, complemented
159#4670C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#534—31no—
192#2707—31no—
193#2705—31no—
194#2697—31no—
195#2695—31no—
196#2693D311yescharacteristic, complemented
197#2685—31no—
198#2678—31no—
199#2678—31no—
200#2591—31no—
201#2558—31no—
202#2554—31no—
203#2543—31no—
204#2534—31no—
205#2470—31no—
206#2457—31no—
207#2444—31no—
208#2443—31no—
209#2424—31no—
210#2424—31no—
211#2416—31no—
212#2416—31no—
213#2411—31no—
214#2410—31no—
215#2410—31no—
216C2×#396—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219D4×C22⋊C4—31no—
220#2321—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×D3×D4—24no—
241C2×D3×D4—24no—
242C2×D3×D4—42no—
243C22×D12—24no—
244C22×D12—24no—
245C22×D12—42no—
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C3×#123—24no—
263C3×#123—24no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#939—24no—
295#938—24no—
296#937—24no—
297#937—24no—
298#937—42no—
299#937—42no—
300#930—42no—
301#929—24no—
302C4×#67—24no—
303C4×#67—24no—
304C4×#67—42no—
305C4×#67—42no—
306C2×(C2×D3)⋊C4—42no—
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#898—24no—
372#895—24no—
373#895—24no—
374#894—24no—
375#894—24no—
376#893—24no—
377#893—42no—
378D3×C4⋊C4—24no—
379D3×C4⋊C4—42no—
380D3×C4⋊C4—42no—
381#889—24no—
382#886—42no—
383#884—24no—
384#884—24no—
385#884—42no—
386#884—42no—
387#884—42no—
388#884D418yescomplemented
389#883—24no—
390#882—24no—
391#882—24no—
392#882—24no—
393#67⋊C4—24no—
394D3×C22⋊C4—24no—
395D3×C22⋊C4—42no—
396D3×C22⋊C4—42no—
397D3×C22⋊C4—42no—
398#879—24no—
399#877—24no—
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428#553—68no—
429#534—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#125—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic
439C2×#123C2×D311yescharacteristic, complemented
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×#117—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C4⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#400C2×D311yescharacteristic, complemented
476#400C2×D311yescharacteristic, complemented
477#399—31no—
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic, complemented
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396C2×D311yescharacteristic, complemented
495#396C2×D311yescharacteristic, complemented
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#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392C2×D311yescharacteristic
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#389—31no—
524#389—31no—
525#389—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic, complemented
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385C2×D311yescharacteristic, complemented
568#381—31no—
569#380—31no—
570#380—31no—
571#380C2×D311yescharacteristic, complemented
572#380C2×D311yescharacteristic, complemented
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578C4×C4⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C2×#95—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
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×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3#4114yes—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67C2×D414yes—
668C2×#67C2×D414yes—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—41no—
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683D3×D4—416no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—416no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12C2×D414yes—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
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×C4×D3—41no—
732C2×C4×D3C2×D414yes—
733C3×C4⋊C4—22no—
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×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4C2×D414yes—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—41no—
761#217—41no—
762#217—41no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4C2×D414yes—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—22no—
804C4⋊Dic3—41no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
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—
819Dic3⋊C4C2×D414yes—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C25—31no—
828C25—31no—
829C25—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—64no—
847C22×D4—64no—
848C22×D4—64no—
849C22×D4—64no—
850C22×D4—122no—
851C22×D4—122no—
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
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×C4—31no—
865C23×C4C22×D311yescharacteristic
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868#126—64no—
869#126—64no—
870#125—64no—
871#123—24no—
872#123—24no—
873#123—64no—
874#123—64no—
875#123—64no—
876#123—64no—
877#123—122no—
878#121—38no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—122no—
886#121—122no—
887#121—122no—
888#121—122no—
889#120—64no—
890#120—64no—
891#120—64no—
892#120—64no—
893#120—64no—
894#120—122no—
895#120—122no—
896C4×D4—64no—
897C4×D4—64no—
898C4×D4—64no—
899C4×D4—64no—
900C4×D4—122no—
901C4×D4—122no—
902C4×D4—122no—
903#117—64no—
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—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—64no—
925C2×C4⋊C4—122no—
926C2×C4⋊C4—122no—
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
983C2×C22⋊C4—122no—
984C2×C22⋊C4—122no—
985C2×C22⋊C4—122no—
986C2×C22⋊C4—122no—
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—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#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
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×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3C22×D412yes—
1052C23×C3C2×#4112yes—
1053C23×C3C2511yescharacteristic
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—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—28no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—44no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3C22×D412yes—
1106C22×D3C22×D412yes—
1107C22×D3C2×#4112yes—
1108C22×D3C2×#4112yes—
1109C22×D3H(5,𝔽2)12yes—
1110C3×D4—44no—
1111C3×D4—82no—
1112C3×D4—82no—
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—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—44no—
1148C2×C3×C4—82no—
1149C2×C3×C4—82no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152#67—28no—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—82no—
1158#67—82no—
1159#67—82no—
1160#67—82no—
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×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—44no—
1191C2×Dic3C22×D412yes—
1192C2×Dic3C22×D412yes—
1193C2×Dic3H(5,𝔽2)12yes—
1194C2×Dic3H(5,𝔽2)12yes—
1195D12—28no—
1196D12—44no—
1197D12—44no—
1198D12—44no—
1199D12—44no—
1200D12—82no—
1201D12—82no—
1202C4×D3—44no—
1203C4×D3—44no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—82no—
1207C4×D3—82no—
1208C4×D3—82no—
1209C4×D3—82no—
1210C4×D3—82no—
1211C24—31no—
1212C24—31no—
1213C24—31no—
1214C24—34no—
1215C24—31no—
1216C24—31no—
1217C24—62no—
1218C24—62no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—121no—
1224C24—121no—
1225C24—121no—
1226C24—121no—
1227C24—121no—
1228C24—121no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—34no—
1245C2×D4—34no—
1246C2×D4—34no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
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—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—1216no—
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—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—1216no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—34no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
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×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—34no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—34no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
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—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
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—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4D3×D414yes—
1448C42—62no—
1449C42—62no—
1450C42—62no—
1451C42—121no—
1452C42—121no—
1453C42—121no—
1454C42—121no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3C23×D411yescharacteristic
1477C22×C3C22×#4111yescharacteristic
1478C22×C3C2×H(5,𝔽2)11yescharacteristic
1479C22×C3C2×H(5,𝔽2)11yescharacteristic
1480C22×C3C2×H(5,𝔽2)11yescharacteristic
1481C22×C3#58511yescharacteristic
1482C22×C3#58511yescharacteristic
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—22no—
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—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—88no—
1518C2×D3—88no—
1519C2×D3—88no—
1520C2×D3#54614yes—
1521C3×C4—22no—
1522C3×C4—22no—
1523C3×C4—41no—
1524C3×C4—41no—
1525C3×C4—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533Dic3—22no—
1534Dic3—22no—
1535Dic3—22no—
1536Dic3—22no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—32no—
1564C23—32no—
1565C23—32no—
1566C23—32no—
1567C23—32no—
1568C23—68no—
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—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—124no—
1600C23—124no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—242no—
1606C23—242no—
1607C23—242no—
1608C23—242no—
1609C23—242no—
1610C23—242no—
1611C23—242no—
1612C23—242no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23C2×D3×D412yes—
1620C23D3×#4112yes—
1621C23C24×D311yescharacteristic
1622D4—44no—
1623D4—68no—
1624D4—68no—
1625D4—82no—
1626D4—82no—
1627D4—124no—
1628D4—124no—
1629D4—124no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—242no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
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—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—32no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—44no—
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—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—124no—
1712C2×C4—124no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—242no—
1717C2×C4—242no—
1718C2×C4—242no—
1719C2×C4—242no—
1720C2×C4—242no—
1721C2×C4C2×D3×D412yes—
1722C2×C4C2×D3×D412yes—
1723C2×C3—42no—
1724C2×C3—42no—
1725C2×C3—81no—
1726C2×C3C2×#54611yescharacteristic
1727C2×C3#348811yescharacteristic
1728C2×C3#349611yescharacteristic
1729C2×C3#350511yescharacteristic
1730C2×C3#350511yescharacteristic
1731C2×C3#353711yescharacteristic
1732C2×C3#356011yescharacteristic
1733D3—24no—
1734D3—42no—
1735D3—42no—
1736D3—81no—
1737D3—81no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—34no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
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—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—248no—
1795C22—248no—
1796C22—248no—
1797C22C22×D3×D411yescharacteristic
1798C22C2×D3×#4111yescharacteristic
1799C22#596411yescharacteristic
1800C22D3×H(5,𝔽2)11yescharacteristic
1801C22D3×H(5,𝔽2)11yescharacteristic
1802C22D3×H(5,𝔽2)11yescharacteristic
1803C22#596811yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—62no—
1817C4—62no—
1818C4—62no—
1819C4—62no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C3#4302211yescharacteristic, complemented, Sylow
1828C2—42no—
1829C2—42no—
1830C2—64no—
1831C2—81no—
1832C2—122no—
1833C2—122no—
1834C2—241no—
1835C2—241no—
1836C2#8637911yescharacteristic
1837C2#8645411yescharacteristic
1838C2#8646511yescharacteristic
1839C2D3×#54611yescharacteristic
1840C2#8666511yescharacteristic
1841C2#8681711yescharacteristic
1842C2#8707111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2693C2
hypercenter#2693D3
hypocenterC3#43022
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2693

Complements

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

NH ≅ G/Ntype
1. C2×#5653C2semidirect
2. C2×#5661C2semidirect
3. C3×#2693C2semidirect
4. #82907C2semidirect
5. #82854C2semidirect
6. #78358C2semidirect
7. #78343C2semidirect
8. #78239C2semidirect
9. #78178C2semidirect
10. #77696C2semidirect
11. #77673C2semidirect
12. #77434C2semidirect
13. D3×#396C2semidirect
14. #77353C2semidirect
15. #77284C2semidirect
16. #76772C2semidirect
17. #76755C2semidirect
18. #74902C2semidirect
19. #74901C2semidirect
20. #74894C2semidirect
21. #74893C2semidirect
22. #74887C2semidirect
23. #74878C2semidirect
24. #74876C2semidirect
25. #74755C2semidirect
26. #74602C2semidirect
27. #74397C2semidirect
28. #74007C2semidirect
29. #73970C2semidirect
30. #73904C2semidirect
31. #73887C2semidirect
36. C2×C3×#123C22semidirect
37. C2×#939C22semidirect
38. C2×#938C22semidirect
41. C2×#937C22semidirect
42. C2×#937C22semidirect
43. C2×#930C22semidirect
45. C2×C4×#67C22semidirect
46. C2×C4×#67C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
49. C22×(C2×D3)⋊C4C22semidirect
52. C2×#898C22semidirect
57. C2×#893C22semidirect
58. C2×#893C22semidirect
59. C2×D3×C4⋊C4C22semidirect
60. C2×D3×C4⋊C4C22semidirect
61. C2×D3×C4⋊C4C22semidirect
62. C2×#889C22semidirect
63. C2×#886C22semidirect
66. C2×#884C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
69. C2×#884C22semidirect
70. C2×#883C22semidirect
74. C2×#67⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×#879C22semidirect
80. C2×#877C22semidirect
81. C3×#400C22semidirect
82. C3×#400C22semidirect
83. C3×#397C22semidirect
84. C3×#396C22semidirect
85. C3×#396C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#385C22semidirect
92. C3×#380C22semidirect
93. C3×#380C22semidirect
95. #5223C22semidirect
97. #5221C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. #5210C22semidirect
102. C4×#217C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
105. #4994C22semidirect
106. #4994C22semidirect
107. #4993C22semidirect
108. #4992C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4990C22semidirect
114. #4988C22semidirect
115. #4985C22semidirect
116. #4978C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. #4972C22semidirect
121. #4961C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
137. #4955C22semidirect
138. #4955C22semidirect
139. #4955C22semidirect
140. #4955C22semidirect
141. #4952C22semidirect
142. #4951C22semidirect
143. #4948C22semidirect
144. #4948C22semidirect
145. #4948C22semidirect
146. #4946C22semidirect
147. #4944C22semidirect
148. #4944C22semidirect
149. #4944C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
152. #4676C22semidirect
153. #4674C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4670C22semidirect
159. #4670C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4667C22semidirect
171. #4667C22semidirect
172. #4666C22semidirect
173. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. D3×#95C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4654C22semidirect
189. #4649C22semidirect
196. #2693D3semidirect
388. #884D4semidirect
439. C2×#123C2×D3semidirect
475. #400C2×D3semidirect
476. #400C2×D3semidirect
483. #397C2×D3semidirect
494. #396C2×D3semidirect
495. #396C2×D3semidirect
559. #386C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
567. #385C2×D3semidirect
571. #380C2×D3semidirect
572. #380C2×D3semidirect
1827. C3#43022semidirect

Maximal subgroups

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

subgroupindex
C2×#56532
C2×#56612
C3×#26932
#829072
#828542
#783582
#783432
#782392
#781782
#776962
#776732
#774342
D3×#3962
#773532
#772842
#767722
#767552
#749022
#749012
#748942
#748932
#748872
#748782
#748762
#747552
#746022
#743972
#740072
#739702
#739042
#738872
#430223