Finite Group Databasebeta

← #11097719

Subgroups — #11097719

Order 768.

2616 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic, complemented
2C2×#5554C211yesmaximal, characteristic, complemented
3C3×#2415C211yesmaximal, characteristic, complemented
4#82833C211yesmaximal, characteristic, complemented
5#82827C211yesmaximal, characteristic, complemented
6#82769C211yesmaximal, characteristic, complemented
7#82422C211yesmaximal, characteristic, complemented
8#82286C211yesmaximal, characteristic, complemented
9#82271C211yesmaximal, characteristic, complemented
10#77726C211yesmaximal, characteristic, complemented
11#77684C211yesmaximal, characteristic, complemented
12#77541C211yesmaximal, characteristic, complemented
13#77535C211yesmaximal, characteristic, complemented
14#77122C211yesmaximal, characteristic, complemented
15#77108C211yesmaximal, characteristic, complemented
16#76894C211yesmaximal, characteristic, complemented
17#76889C211yesmaximal, characteristic, complemented
18#76652C211yesmaximal, characteristic, complemented
19#76513C211yesmaximal, characteristic, complemented
20#76264C211yesmaximal, characteristic, complemented
21#76259C211yesmaximal, characteristic, complemented
22#76257C211yesmaximal, characteristic, complemented
23#76226C211yesmaximal, characteristic, complemented
24#76220C211yesmaximal, characteristic, complemented
25#76070C211yesmaximal, characteristic, complemented
26#75919C211yesmaximal, characteristic, complemented
27#75912C211yesmaximal, characteristic, complemented
28#75858C211yesmaximal, characteristic, complemented
29#75594C211yesmaximal, characteristic, complemented
30#74035C211yesmaximal, characteristic, complemented
31#74021C211yesmaximal, characteristic, complemented
32#40496—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C2×C3×#117C2211yescharacteristic, complemented
39C2×#947C2211yescharacteristic
40C2×#947C2211yescharacteristic, complemented
41C2×#930C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic, complemented
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46#5644—28no—
47#5554—28no—
48C2×#898C2211yescharacteristic
49C2×#898C2211yescharacteristic, complemented
50C2×#897C2211yescharacteristic
51C2×#896C2211yescharacteristic, complemented
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic, complemented
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#894C2211yescharacteristic, complemented
60C2×#893C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#875C2211yescharacteristic
76C2×#874C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic
78C3×#397C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#391C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#389C2211yescharacteristic, complemented
85C3×#389C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#380C2211yescharacteristic, complemented
89#5231C2211yescharacteristic, complemented
90#5231C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5211C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4993C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4986C2211yescharacteristic, complemented
119#4981C2211yescharacteristic, complemented
120#4981C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4949C2211yescharacteristic, complemented
145#4946C2211yescharacteristic, complemented
146#4942C2211yescharacteristic, complemented
147Dic3×C22⋊C4C2211yescharacteristic, complemented
148Dic3×C22⋊C4C2211yescharacteristic, complemented
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic
151#4940C2211yescharacteristic, complemented
152#4940C2211yescharacteristic, complemented
153#4939C2211yescharacteristic, complemented
154#4939C2211yescharacteristic, complemented
155C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157#4936C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4671C2211yescharacteristic
168#4671C2211yescharacteristic
169#4671C2211yescharacteristic
170#4671C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4664C2211yescharacteristic
186#4657C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2816—31no—
193#2812—31no—
194#2712—31no—
195#2698—31no—
196#2685—31no—
197#2681—31no—
198#2676—31no—
199#2672—31no—
200#2671—31no—
201#2669—31no—
202#2635—31no—
203#2630—31no—
204#2619—31no—
205#2617—31no—
206#2613—31no—
207#2602—31no—
208#2559—31no—
209#2553—31no—
210#2472—31no—
211#2464—31no—
212#2459—31no—
213#2455—31no—
214#2428—31no—
215#2418—31no—
216#2415D311yescharacteristic, complemented
217#2410—31no—
218#2407—31no—
219#2388—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C2×#237—24no—
238C2×#237—42no—
239C2×#237—42no—
240C2×D3×D4—24no—
241C2×D3×D4—42no—
242C2×D3×D4—42no—
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×C22⋊Q8—24no—
264C3×C22⋊Q8—42no—
265C3×C4×D4—24no—
266C3×#117—42no—
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊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×C42C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#947—24no—
295#947—24no—
296#930—24no—
297#930—24no—
298#930—24no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4D418yescomplemented
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#898—24no—
366#898—24no—
367#897—24no—
368#896—42no—
369#895—24no—
370#895—24no—
371#895—24no—
372#895—42no—
373#895—42no—
374#894—24no—
375#894—24no—
376#894—42no—
377#893—42no—
378#886—24no—
379#886—24no—
380#884—42no—
381#884—42no—
382#882—24no—
383#882—24no—
384#882—24no—
385#882—24no—
386#882—42no—
387#882—42no—
388#67⋊C4—24no—
389#67⋊C4—24no—
390#67⋊C4—42no—
391D3×C22⋊C4—42no—
392#875—24no—
393#874—42no—
394C4×D12—24no—
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#538—68no—
427C2×#127—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#121—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×D4C2×D311yescharacteristic
464C2×#117C2×D311yescharacteristic, complemented
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397C2×D311yescharacteristic, complemented
479#397C2×D311yescharacteristic, complemented
480#396—31no—
481#396—31no—
482#395—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394C2×D311yescharacteristic
507#394C2×D311yescharacteristic
508#393—31no—
509#393—31no—
510#393—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#391—31no—
525#391C2×D311yescharacteristic, complemented
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#389—31no—
531#389C2×D311yescharacteristic, complemented
532#389C2×D311yescharacteristic, complemented
533#389C2×D311yescharacteristic, complemented
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388C2×D311yescharacteristic, complemented
545#388C2×D311yescharacteristic, complemented
546#387—31no—
547#387—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#386—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#382—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380C2×D311yescharacteristic, complemented
572#379—31no—
573#379—31no—
574#379—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3C2×D414yes—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C2×C3×Q8—41no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2×D414yes—
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3C2×D414yes—
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667#237—416no—
668D3×D4—416no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
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—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×Dic6—22no—
727C2×Dic6—22no—
728C2×Dic6—41no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
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×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C42—22no—
750C3×C42—22no—
751C3×C42—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4C2×D414yes—
799(C2×D3)⋊C4C2×D414yes—
800(C2×D3)⋊C4C2×D414yes—
801(C2×D3)⋊C4C2×D414yes—
802C4⋊Dic3—22no—
803C4⋊Dic3—22no—
804C4⋊Dic3—22no—
805C4⋊Dic3—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C22×Q8—31no—
826C22×Q8C22×D311yescharacteristic
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—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—31no—
847C22×D4—31no—
848C22×D4—64no—
849C22×D4—122no—
850C22×D4—122no—
851C22×D4C22×D311yescharacteristic
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#127—122no—
863#126—64no—
864#126—64no—
865#124—64no—
866#124—64no—
867#124—64no—
868#123—64no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—122no—
873C22⋊Q8—24no—
874C22⋊Q8—42no—
875C22⋊Q8—64no—
876C22⋊Q8—122no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—64no—
883#121—122no—
884#121—122no—
885#121—122no—
886#121—122no—
887#120—64no—
888#120—64no—
889#120—64no—
890#120—64no—
891#120—122no—
892#120—122no—
893C4×D4—24no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—64no—
897C4×D4—122no—
898C4×D4—122no—
899#117—42no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C22⋊C4—38no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—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—64no—
976C2×C22⋊C4—122no—
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C42—31no—
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—31no—
991C2×C42C22×D311yescharacteristic
992C2×C42C22×D311yescharacteristic
993C2×C42C22×D311yescharacteristic
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3C22×D412yes—
1035C23×C3H(5,𝔽2)12yes—
1036C23×C3C2511yescharacteristic
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3C22×D412yes—
1092C22×D3C22×D412yes—
1093C3×Q8—82no—
1094C3×D4—28no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—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—44no—
1131C2×C3×C4—82no—
1132C2×C3×C4C22×D412yes—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4H(5,𝔽2)12yes—
1135C2×C3×C4H(5,𝔽2)12yes—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139#67—44no—
1140#67—44no—
1141#67—44no—
1142#67—44no—
1143#67—82no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—44no—
1173C2×Dic3—44no—
1174C2×Dic3C22×D412yes—
1175C2×Dic3C22×D412yes—
1176D12—44no—
1177D12—44no—
1178D12—44no—
1179D12—82no—
1180D12—82no—
1181D12—82no—
1182D12—82no—
1183D12—82no—
1184D12—82no—
1185D12—82no—
1186D12—82no—
1187D12—82no—
1188D12—82no—
1189C4×D3—44no—
1190C4×D3—44no—
1191C4×D3—82no—
1192C4×D3—82no—
1193C4×D3—82no—
1194C4×D3—82no—
1195Dic6—44no—
1196C24—31no—
1197C24—31no—
1198C24—34no—
1199C24—31no—
1200C24—31no—
1201C24—31no—
1202C24—31no—
1203C24—62no—
1204C24—62no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24C23×D311yescharacteristic
1217C24C23×D311yescharacteristic
1218#41—1216no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—62no—
1223C2×Q8—62no—
1224C2×Q8—121no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—1216no—
1292C22×C4—22no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—34no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4D3×D414yes—
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—34no—
1378C22⋊C4—34no—
1379C22⋊C4—34no—
1380C22⋊C4—34no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C42—22no—
1430C42—22no—
1431C42—41no—
1432C42—62no—
1433C42—62no—
1434C42—121no—
1435C42—121no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3C23×D411yescharacteristic
1451C22×C3C2×H(5,𝔽2)11yescharacteristic
1452C22×C3C2×H(5,𝔽2)11yescharacteristic
1453C22×C3C2×H(5,𝔽2)11yescharacteristic
1454C22×C3#58511yescharacteristic
1455C22×C3#58511yescharacteristic
1456C22×C3#58511yescharacteristic
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—88no—
1500C2×D3—88no—
1501C3×C4—22no—
1502C3×C4—22no—
1503C3×C4—22no—
1504C3×C4—22no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514Dic3—22no—
1515Dic3—22no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—32no—
1537C23—32no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—124no—
1579C23—124no—
1580C23—124no—
1581C23—124no—
1582C23—124no—
1583C23—242no—
1584C23—242no—
1585C23—242no—
1586C23—242no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23C2×D3×D412yes—
1593C23#100912yes—
1594C23C24×D311yescharacteristic
1595Q8—82no—
1596Q8—124no—
1597D4—28no—
1598D4—124no—
1599D4—124no—
1600D4—124no—
1601D4—124no—
1602D4—124no—
1603D4—124no—
1604D4—124no—
1605D4—124no—
1606D4—124no—
1607D4—124no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611D4—242no—
1612D4—242no—
1613D4—242no—
1614D4—242no—
1615D4—242no—
1616D4—242no—
1617D4—242no—
1618D4—242no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—32no—
1655C2×C4—32no—
1656C2×C4—44no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—82no—
1686C2×C4—124no—
1687C2×C4—124no—
1688C2×C4—124no—
1689C2×C4—124no—
1690C2×C4—242no—
1691C2×C4—242no—
1692C2×C4—242no—
1693C2×C4—242no—
1694C2×C4C2×D3×D412yes—
1695C2×C4C2×D3×D412yes—
1696C2×C4#100412yes—
1697C2×C4#100912yes—
1698C2×C3—42no—
1699C2×C3—42no—
1700C2×C3#344911yescharacteristic
1701C2×C3#348411yescharacteristic
1702C2×C3#349611yescharacteristic
1703C2×C3#353311yescharacteristic
1704C2×C3#354211yescharacteristic
1705C2×C3#355811yescharacteristic
1706C2×C3#356211yescharacteristic
1707D3—42no—
1708D3—42no—
1709D3—81no—
1710D3—81no—
1711D3—81no—
1712D3—81no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—62no—
1728C22—62no—
1729C22—62no—
1730C22—62no—
1731C22—62no—
1732C22—62no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—248no—
1770C22—248no—
1771C22C22×D3×D411yescharacteristic
1772C22C2×#100411yescharacteristic
1773C22C2×#100911yescharacteristic
1774C22C2×#100911yescharacteristic
1775C22#596411yescharacteristic
1776C22#596811yescharacteristic
1777C22#596811yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—62no—
1792C4—62no—
1793C4—121no—
1794C4—121no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C3#4049611yescharacteristic, complemented, Sylow
1802C2—42no—
1803C2—42no—
1804C2—122no—
1805C2—122no—
1806C2—241no—
1807C2—241no—
1808C2—241no—
1809C2—241no—
1810C2#8595011yescharacteristic
1811C2#8603911yescharacteristic
1812C2#8633811yescharacteristic
1813C2#8669111yescharacteristic
1814C2#8673011yescharacteristic
1815C2#8686411yescharacteristic
1816C2#8699911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2415C2
hypercenter#2415D3
hypocenterC3#40496
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2415

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C2×#5554C2semidirect
3. C3×#2415C2semidirect
4. #82833C2semidirect
5. #82827C2semidirect
6. #82769C2semidirect
7. #82422C2semidirect
8. #82286C2semidirect
9. #82271C2semidirect
10. #77726C2semidirect
11. #77684C2semidirect
12. #77541C2semidirect
13. #77535C2semidirect
14. #77122C2semidirect
15. #77108C2semidirect
16. #76894C2semidirect
17. #76889C2semidirect
18. #76652C2semidirect
19. #76513C2semidirect
20. #76264C2semidirect
21. #76259C2semidirect
22. #76257C2semidirect
23. #76226C2semidirect
24. #76220C2semidirect
25. #76070C2semidirect
26. #75919C2semidirect
27. #75912C2semidirect
28. #75858C2semidirect
29. #75594C2semidirect
30. #74035C2semidirect
31. #74021C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
38. C2×C3×#117C22semidirect
40. C2×#947C22semidirect
43. C2×#930C22semidirect
49. C2×#898C22semidirect
51. C2×#896C22semidirect
55. C2×#895C22semidirect
56. C2×#895C22semidirect
59. C2×#894C22semidirect
60. C2×#893C22semidirect
64. C2×#884C22semidirect
71. C2×#67⋊C4C22semidirect
72. C2×#67⋊C4C22semidirect
73. C2×#67⋊C4C22semidirect
76. C2×#874C22semidirect
78. C3×#397C22semidirect
79. C3×#397C22semidirect
82. C3×#391C22semidirect
83. C3×#389C22semidirect
84. C3×#389C22semidirect
85. C3×#389C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×#380C22semidirect
89. #5231C22semidirect
90. #5231C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5211C22semidirect
96. #4994C22semidirect
97. #4993C22semidirect
98. #4993C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
112. #4990C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4988C22semidirect
118. #4986C22semidirect
119. #4981C22semidirect
120. #4981C22semidirect
121. #4980C22semidirect
122. #4979C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4957C22semidirect
144. #4949C22semidirect
145. #4946C22semidirect
146. #4942C22semidirect
147. Dic3×C22⋊C4C22semidirect
148. Dic3×C22⋊C4C22semidirect
151. #4940C22semidirect
152. #4940C22semidirect
153. #4939C22semidirect
154. #4939C22semidirect
155. C4×(C2×D3)⋊C4C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. #4936C22semidirect
158. #4676C22semidirect
160. #4675C22semidirect
161. #4673C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
170. #4671C22semidirect
171. #4670C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4667C22semidirect
177. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
186. #4657C22semidirect
187. #4655C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
216. #2415D3semidirect
300. C2×(C2×D3)⋊C4D4semidirect
440. C2×C22⋊Q8C2×D3semidirect
441. C2×C22⋊Q8C2×D3semidirect
464. C2×#117C2×D3semidirect
478. #397C2×D3semidirect
479. #397C2×D3semidirect
525. #391C2×D3semidirect
531. #389C2×D3semidirect
532. #389C2×D3semidirect
533. #389C2×D3semidirect
544. #388C2×D3semidirect
545. #388C2×D3semidirect
571. #380C2×D3semidirect
1801. C3#40496semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C2×#55542
C3×#24152
#828332
#828272
#827692
#824222
#822862
#822712
#777262
#776842
#775412
#775352
#771222
#771082
#768942
#768892
#766522
#765132
#762642
#762592
#762572
#762262
#762202
#760702
#759192
#759122
#758582
#755942
#740352
#740212
#404963