Finite Group Databasebeta

← #11034580

Subgroups — #11034580

Order 768.

3246 conjugacy classes of subgroups.

The subgroup lattice has 1958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5609C211yesmaximal, characteristic, complemented
2C2×#5554C211yesmaximal, characteristic, complemented
3C3×#2444C211yesmaximal, characteristic, complemented
4#82651C211yesmaximal, characteristic, complemented
5#82404C211yesmaximal, characteristic, complemented
6#78365C211yesmaximal, characteristic, complemented
7#78356C211yesmaximal, characteristic, complemented
8#77689C211yesmaximal, characteristic, complemented
9#77687C211yesmaximal, characteristic, complemented
10#77684C211yesmaximal, characteristic, complemented
11#77583C211yesmaximal, characteristic, complemented
12#77108C211yesmaximal, characteristic, complemented
13#77029C211yesmaximal, characteristic, complemented
14#75917C211yesmaximal, characteristic, complemented
15#75882C211yesmaximal, characteristic, complemented
16#75391C211yesmaximal, characteristic, complemented
17#75298C211yesmaximal, characteristic, complemented
18#74935C211yesmaximal, characteristic, complemented
19#74888C211yesmaximal, characteristic, complemented
20#74885C211yesmaximal, characteristic, complemented
21#74874C211yesmaximal, characteristic, complemented
22D3×#386C211yesmaximal, characteristic, complemented
23#74791C211yesmaximal, characteristic, complemented
24#74690C211yesmaximal, characteristic, complemented
25#74686C211yesmaximal, characteristic, complemented
26#74601C211yesmaximal, characteristic, complemented
27#74408C211yesmaximal, characteristic, complemented
28#74139C211yesmaximal, characteristic, complemented
29#74126C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31C2×#4665C211yesmaximal, characteristic, complemented
32#38076—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic
37C23×D12C2211yescharacteristic
38C23×C4×D3C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#935C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54#5609—28no—
55#5554—28no—
56C2×#897C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic, complemented
61C2×#893C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#886C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic, complemented
79C3×#400C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic, complemented
81C3×#397C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#381C2211yescharacteristic, complemented
91C2×C3×#95C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5220C2211yescharacteristic, complemented
94#5220C2211yescharacteristic, complemented
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100C2×C3⋊#95C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4960C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4960C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic, complemented
124#4958C2211yescharacteristic, complemented
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4955C2211yescharacteristic, complemented
133#4955C2211yescharacteristic, complemented
134#4955C2211yescharacteristic, complemented
135#4955C2211yescharacteristic, complemented
136#4947C2211yescharacteristic, complemented
137#4946C2211yescharacteristic, complemented
138#4943C2211yescharacteristic, complemented
139#4942C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4675C2211yescharacteristic, complemented
143#4675C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4673C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4672C2211yescharacteristic, complemented
150#4672C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4671C2211yescharacteristic, complemented
154#4671C2211yescharacteristic, complemented
155#4671C2211yescharacteristic, complemented
156#4669C2211yescharacteristic, complemented
157#4668C2211yescharacteristic, complemented
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4667C2211yescharacteristic, complemented
161#4667C2211yescharacteristic, complemented
162#4667C2211yescharacteristic, complemented
163#4667C2211yescharacteristic, complemented
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic, complemented
185D3×#95C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4660C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4655C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×D42—31no—
192#2847—31no—
193#2709—31no—
194#2708—31no—
195#2688—31no—
196#2688—31no—
197#2686—31no—
198#2684—31no—
199#2673—31no—
200#2668—31no—
201#2639—31no—
202#2617—31no—
203#2564—31no—
204#2543—31no—
205#2444—31no—
206#2444D311yescharacteristic, complemented
207#2430—31no—
208#2419—31no—
209#2418—31no—
210#2412—31no—
211#2412—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2405—31no—
216#2404—31no—
217#2325—31no—
218#2308—31no—
219C2×#386—31no—
220C2×#386—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C2×#237—24no—
246C2×#237—42no—
247C2×#237—42no—
248C2×D3×D4—24no—
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—42no—
252C2×D3×D4—42no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C2×D3×D4D418yescomplemented
257C22×D12—24no—
258C22×D12—24no—
259C22×D12—42no—
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×C4×D3—42no—
272C22×C4×D3—42no—
273C22×C4×D3—42no—
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×Dic6C2311yescharacteristic
285C3×#121—24no—
286C3×C4×D4—24no—
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C42C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#940—24no—
311#939—42no—
312#937—24no—
313#937—24no—
314#935—42no—
315#930—24no—
316#930—24no—
317#929—42no—
318C4×#67—24no—
319C2×(C2×D3)⋊C4—24no—
320C2×(C2×D3)⋊C4—24no—
321C2×(C2×D3)⋊C4—42no—
322C2×(C2×D3)⋊C4—42no—
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×(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×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375#897—24no—
376#895—24no—
377#895—24no—
378#895—24no—
379#895—42no—
380#893—24no—
381#886—24no—
382#886—24no—
383#884—24no—
384#884—24no—
385#884—42no—
386#884—42no—
387#882—24no—
388#882—24no—
389#882—24no—
390#882—24no—
391#882—42no—
392#882—42no—
393D3×C22⋊C4—42no—
394D3×C22⋊C4—42no—
395D3×C22⋊C4—42no—
396#875—24no—
397C4×D12—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C22×#41—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C23×D4—31no—
437C24×C4—31no—
438#546—68no—
439D42—68no—
440C2×#127—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—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×#121C2×D311yescharacteristic
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4C2×D311yescharacteristic, complemented
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#400—31no—
480#400C2×D311yescharacteristic, complemented
481#399—31no—
482#398—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397C2×D311yescharacteristic, complemented
491#397C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic, complemented
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#388—31no—
519#388—31no—
520#388—31no—
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387C2×D311yescharacteristic, complemented
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#386C2×D311yescharacteristic, complemented
563#386C2×D311yescharacteristic, complemented
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#381—31no—
574#381—31no—
575#381C2×D311yescharacteristic, complemented
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585C2×#95—31no—
586C2×#95—31no—
587C2×#95—31no—
588C2×#95C2×D311yescharacteristic, complemented
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3C2×D414yes—
619C23×D3C2×D414yes—
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—41no—
634C2×C3×D4C2×D414yes—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
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—22no—
673C2×#67—22no—
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×#67C2×D414yes—
688C2×#67C2×D414yes—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708#237—416no—
709D3×D4—416no—
710D3×D4—416no—
711D3×D4—416no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—416no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12C2×D414yes—
745C2×D12#4114yescomplemented
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3—41no—
768C2×C4×D3—41no—
769C2×C4×D3—41no—
770C2×C4×D3—41no—
771C2×C4×D3—416no—
772C2×C4×D3—41no—
773C2×C4×D3—41no—
774C2×C4×D3—41no—
775C2×C4×D3—41no—
776C2×C4×D3C2×D414yes—
777C2×Dic6—22no—
778C2×Dic6—41no—
779C2×Dic6—41no—
780C3×C4⋊C4—22no—
781C3×C4⋊C4—22no—
782C3×C4⋊C4—22no—
783C3×C4⋊C4—41no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—22no—
787C3×C22⋊C4—22no—
788C3×C22⋊C4—22no—
789C3×C22⋊C4—41no—
790C3×C22⋊C4—41no—
791C3×C22⋊C4—41no—
792C3×C22⋊C4—41no—
793C3×C22⋊C4—41no—
794C3×C22⋊C4—41no—
795C3×C42—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
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—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843C4⋊Dic3—22no—
844C4⋊Dic3—22no—
845C4⋊Dic3—22no—
846Dic3⋊C4—22no—
847Dic3⋊C4—22no—
848Dic3⋊C4—41no—
849Dic3⋊C4—41no—
850Dic3⋊C4—41no—
851Dic3⋊C4—41no—
852Dic3⋊C4—41no—
853Dic3⋊C4—41no—
854C4×Dic3—22no—
855C25—31no—
856C25—31no—
857C25—31no—
858C25—31no—
859C2×#41—64no—
860C2×#41—122no—
861C2×#41—122no—
862C22×Q8—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—38no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—64no—
886C22×D4—64no—
887C22×D4—64no—
888C22×D4—64no—
889C22×D4—64no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4—122no—
893C22×D4—122no—
894C22×D4—122no—
895C22×D4—122no—
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C22×D4C22×D311yescharacteristic
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—31no—
910C23×C4—31no—
911C23×C4—31no—
912C23×C4—122no—
913C23×C4—122no—
914C23×C4—122no—
915C23×C4C22×D311yescharacteristic
916C23×C4C22×D311yescharacteristic
917C23×C4C22×D311yescharacteristic
918C23×C4C22×D311yescharacteristic
919#127—64no—
920#124—64no—
921#123—64no—
922#123—64no—
923#123—122no—
924#123—122no—
925C22⋊Q8—64no—
926#121—24no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—122no—
935#121—122no—
936#121—122no—
937#121—122no—
938#120—64no—
939#120—64no—
940#120—64no—
941#120—64no—
942#120—64no—
943#120—64no—
944#120—122no—
945#120—122no—
946C4×D4—24no—
947C4×D4—64no—
948C4×D4—64no—
949C4×D4—64no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—64no—
1013C2×C22⋊C4—64no—
1014C2×C22⋊C4—122no—
1015C2×C22⋊C4—122no—
1016C2×C22⋊C4—122no—
1017C2×C22⋊C4—122no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C42—31no—
1031C2×C42C22×D311yescharacteristic
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#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95C22×D311yescharacteristic
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065#95C22×D311yescharacteristic
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×C3C22×D412yes—
1084C23×C3C22×D412yes—
1085C23×C3H(5,𝔽2)12yes—
1086C23×C3H(5,𝔽2)12yes—
1087C23×C3C2511yescharacteristic
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—28no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—28no—
1112C22×D3—28no—
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—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3C22×D412yes—
1153C22×D3C22×D412yes—
1154C22×D3C22×D412yes—
1155C22×D3C2×#4112yes—
1156C22×D3C2×#4112yes—
1157C22×D3H(5,𝔽2)12yes—
1158C3×D4—28no—
1159C3×D4—44no—
1160C3×D4—44no—
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×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—44no—
1196C2×C3×C4—44no—
1197C2×C3×C4—82no—
1198C2×C3×C4—82no—
1199C2×C3×C4C22×D412yes—
1200C2×C3×C4C2×#4112yes—
1201#67—28no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—82no—
1209#67—82no—
1210#67—82no—
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—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—44no—
1240C2×Dic3—44no—
1241C2×Dic3—44no—
1242C2×Dic3C22×D412yes—
1243C2×Dic3H(5,𝔽2)12yes—
1244D12—28no—
1245D12—44no—
1246D12—44no—
1247D12—44no—
1248D12—44no—
1249D12—44no—
1250D12—44no—
1251D12—82no—
1252D12—82no—
1253D12—82no—
1254D12—82no—
1255C4×D3—44no—
1256C4×D3—44no—
1257C4×D3—44no—
1258C4×D3—44no—
1259C4×D3—44no—
1260C4×D3—44no—
1261C4×D3—44no—
1262C4×D3—44no—
1263C4×D3—82no—
1264C4×D3—82no—
1265Dic6—44no—
1266C24—31no—
1267C24—31no—
1268C24—31no—
1269C24—31no—
1270C24—34no—
1271C24—34no—
1272C24—31no—
1273C24—31no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—62no—
1284C24—62no—
1285C24—62no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24—121no—
1295C24—121no—
1296C24—121no—
1297C24—121no—
1298C24—121no—
1299C24—121no—
1300C24C23×D311yescharacteristic
1301C24C23×D311yescharacteristic
1302C24C23×D311yescharacteristic
1303#41—1216no—
1304C2×Q8—62no—
1305C2×Q8—121no—
1306C2×Q8—121no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—34no—
1315C2×D4—34no—
1316C2×D4—34no—
1317C2×D4—34no—
1318C2×D4—41no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—1216no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—1216no—
1380C2×D4—1216no—
1381C2×D4—1216no—
1382C2×D4D3×D414yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—34no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
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—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4—121no—
1428C22×C4—121no—
1429C22×C4—121no—
1430C22×C4—121no—
1431C22×C4—121no—
1432C22×C4—121no—
1433C22×C4—121no—
1434C22×C4—121no—
1435C22×C4—121no—
1436C22×C4—121no—
1437C22×C4—121no—
1438C22×C4—121no—
1439C22×C4—121no—
1440C22×C4—121no—
1441C22×C4—1216no—
1442C22×C4—121no—
1443C22×C4—121no—
1444C22×C4—121no—
1445C22×C4C23×D311yescharacteristic
1446C22×C4C23×D311yescharacteristic
1447C22×C4C23×D311yescharacteristic
1448C22×C4C23×D311yescharacteristic
1449C22×C4C23×D311yescharacteristic
1450C22×C4C23×D311yescharacteristic
1451C22×C4C23×D311yescharacteristic
1452C22×C4C23×D311yescharacteristic
1453C22×C4C23×D311yescharacteristic
1454C22×C4C23×D311yescharacteristic
1455C22×C4C23×D311yescharacteristic
1456C22×C4C23×D311yescharacteristic
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—41no—
1461C4⋊C4—62no—
1462C4⋊C4—62no—
1463C4⋊C4—62no—
1464C4⋊C4—62no—
1465C4⋊C4—62no—
1466C4⋊C4—121no—
1467C4⋊C4—121no—
1468C4⋊C4—121no—
1469C4⋊C4—121no—
1470C4⋊C4—121no—
1471C4⋊C4—121no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—62no—
1498C22⋊C4—62no—
1499C22⋊C4—62no—
1500C22⋊C4—62no—
1501C22⋊C4—62no—
1502C22⋊C4—62no—
1503C22⋊C4—62no—
1504C22⋊C4—62no—
1505C22⋊C4—62no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4—121no—
1520C22⋊C4—121no—
1521C22⋊C4—121no—
1522C22⋊C4—121no—
1523C22⋊C4—121no—
1524C22⋊C4—121no—
1525C22⋊C4—121no—
1526C22⋊C4—121no—
1527C22⋊C4—121no—
1528C22⋊C4—121no—
1529C22⋊C4—121no—
1530C42—22no—
1531C42—62no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—22no—
1539C22×C3—22no—
1540C22×C3—22no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3#53414yes—
1553C22×C3C23×D411yescharacteristic
1554C22×C3C22×#4111yescharacteristic
1555C22×C3C2×H(5,𝔽2)11yescharacteristic
1556C22×C3C2×H(5,𝔽2)11yescharacteristic
1557C22×C3C2×H(5,𝔽2)11yescharacteristic
1558C22×C3C2×H(5,𝔽2)11yescharacteristic
1559C22×C3#58511yescharacteristic
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—22no—
1568C2×D3—22no—
1569C2×D3—22no—
1570C2×D3—22no—
1571C2×D3—22no—
1572C2×D3—22no—
1573C2×D3—22no—
1574C2×D3—22no—
1575C2×D3—416no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—41no—
1598C2×D3—41no—
1599C2×D3—41no—
1600C2×D3—41no—
1601C2×D3—41no—
1602C2×D3—88no—
1603C2×D3—88no—
1604C2×D3—88no—
1605C2×D3#54614yes—
1606C3×C4—22no—
1607C3×C4—22no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611C3×C4—41no—
1612C3×C4—41no—
1613C3×C4—41no—
1614C3×C4—41no—
1615C3×C4—41no—
1616C3×C4—41no—
1617C3×C4—41no—
1618Dic3—22no—
1619Dic3—22no—
1620Dic3—41no—
1621Dic3—41no—
1622Dic3—41no—
1623Dic3—41no—
1624Dic3—41no—
1625Dic3—41no—
1626Dic3—41no—
1627Dic3—41no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—32no—
1646C23—32no—
1647C23—32no—
1648C23—32no—
1649C23—32no—
1650C23—32no—
1651C23—68no—
1652C23—68no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—68no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—61no—
1688C23—61no—
1689C23—61no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—124no—
1701C23—124no—
1702C23—124no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23—242no—
1710C23—242no—
1711C23—242no—
1712C23—242no—
1713C23—242no—
1714C23—242no—
1715C23C2×D3×D412yes—
1716C23C2×D3×D412yes—
1717C23#100912yes—
1718C23#100912yes—
1719C23C24×D311yescharacteristic
1720Q8—124no—
1721D4—28no—
1722D4—44no—
1723D4—44no—
1724D4—68no—
1725D4—68no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—124no—
1736D4—124no—
1737D4—124no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
1741D4—242no—
1742D4—242no—
1743D4—242no—
1744D4—242no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—32no—
1780C2×C4—32no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—61no—
1807C2×C4—61no—
1808C2×C4—61no—
1809C2×C4—61no—
1810C2×C4—61no—
1811C2×C4—82no—
1812C2×C4—82no—
1813C2×C4—124no—
1814C2×C4—124no—
1815C2×C4—124no—
1816C2×C4—124no—
1817C2×C4—124no—
1818C2×C4—124no—
1819C2×C4—124no—
1820C2×C4—124no—
1821C2×C4—124no—
1822C2×C4—124no—
1823C2×C4—124no—
1824C2×C4—242no—
1825C2×C4—242no—
1826C2×C4C2×D3×D412yes—
1827C2×C4D3×#4112yes—
1828C2×C3—24no—
1829C2×C3—42no—
1830C2×C3—81no—
1831C2×C3C2×#53411yescharacteristic
1832C2×C3C2×#54611yescharacteristic
1833C2×C3#349611yescharacteristic
1834C2×C3#351311yescharacteristic
1835C2×C3#351911yescharacteristic
1836C2×C3#353211yescharacteristic
1837C2×C3#353411yescharacteristic
1838D3—24no—
1839D3—42no—
1840D3—42no—
1841D3—42no—
1842D3—81no—
1843D3—81no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—34no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—62no—
1866C22—62no—
1867C22—62no—
1868C22—62no—
1869C22—62no—
1870C22—62no—
1871C22—62no—
1872C22—62no—
1873C22—62no—
1874C22—62no—
1875C22—62no—
1876C22—62no—
1877C22—62no—
1878C22—62no—
1879C22—62no—
1880C22—1216no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—121no—
1902C22—121no—
1903C22—121no—
1904C22—121no—
1905C22—121no—
1906C22—121no—
1907C22—248no—
1908C22—248no—
1909C22—248no—
1910C22#565314yes—
1911C22C22×D3×D411yescharacteristic
1912C22C2×D3×#4111yescharacteristic
1913C22C2×#100911yescharacteristic
1914C22C2×#100911yescharacteristic
1915C22#596411yescharacteristic
1916C22D3×H(5,𝔽2)11yescharacteristic
1917C22D3×H(5,𝔽2)11yescharacteristic
1918C4—22no—
1919C4—22no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—62no—
1931C4—62no—
1932C4—121no—
1933C4—121no—
1934C4—121no—
1935C4—121no—
1936C4—121no—
1937C4—121no—
1938C4—121no—
1939C4—121no—
1940C3#3807611yescharacteristic, complemented, Sylow
1941C2—24no—
1942C2—42no—
1943C2—64no—
1944C2—81no—
1945C2—122no—
1946C2—122no—
1947C2—122no—
1948C2—241no—
1949C2—241no—
1950C2C2×#565311yescharacteristic
1951C2#8616011yescharacteristic
1952C2#8641811yescharacteristic
1953C2D3×#54611yescharacteristic
1954C2#8666511yescharacteristic
1955C2#8688811yescharacteristic
1956C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2444C2
hypercenter#2444D3
hypocenterC3#38076
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. C2×#5609C2semidirect
2. C2×#5554C2semidirect
3. C3×#2444C2semidirect
4. #82651C2semidirect
5. #82404C2semidirect
6. #78365C2semidirect
7. #78356C2semidirect
8. #77689C2semidirect
9. #77687C2semidirect
10. #77684C2semidirect
11. #77583C2semidirect
12. #77108C2semidirect
13. #77029C2semidirect
14. #75917C2semidirect
15. #75882C2semidirect
16. #75391C2semidirect
17. #75298C2semidirect
18. #74935C2semidirect
19. #74888C2semidirect
20. #74885C2semidirect
21. #74874C2semidirect
22. D3×#386C2semidirect
23. #74791C2semidirect
24. #74690C2semidirect
25. #74686C2semidirect
26. #74601C2semidirect
27. #74408C2semidirect
28. #74139C2semidirect
29. #74126C2semidirect
30. #73377C2semidirect
31. C2×#4665C2semidirect
33. C22×#237C22semidirect
38. C23×C4×D3C22semidirect
40. C2×C3×C4×D4C22semidirect
42. C2×#939C22semidirect
45. C2×#935C22semidirect
47. C2×#930C22semidirect
48. C2×#929C22semidirect
50. C22×(C2×D3)⋊C4C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
56. C2×#897C22semidirect
59. C2×#895C22semidirect
60. C2×#895C22semidirect
63. C2×#886C22semidirect
66. C2×#884C22semidirect
67. C2×#884C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#882C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#875C22semidirect
78. C2×C4×D12C22semidirect
79. C3×#400C22semidirect
80. C3×#397C22semidirect
81. C3×#397C22semidirect
82. C3×#394C22semidirect
83. C3×#388C22semidirect
84. C3×#387C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#385C22semidirect
90. C3×#381C22semidirect
91. C2×C3×#95C22semidirect
92. #5223C22semidirect
93. #5220C22semidirect
94. #5220C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5210C22semidirect
100. C2×C3⋊#95C22semidirect
101. #4993C22semidirect
102. #4992C22semidirect
103. #4992C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4989C22semidirect
107. #4989C22semidirect
108. #4982C22semidirect
109. #4980C22semidirect
110. #4979C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4960C22semidirect
115. #4960C22semidirect
116. #4960C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
123. #4958C22semidirect
124. #4958C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4955C22semidirect
133. #4955C22semidirect
134. #4955C22semidirect
135. #4955C22semidirect
136. #4947C22semidirect
137. #4946C22semidirect
138. #4943C22semidirect
139. #4942C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
142. #4675C22semidirect
143. #4675C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4675C22semidirect
147. #4673C22semidirect
148. #4673C22semidirect
149. #4672C22semidirect
150. #4672C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
153. #4671C22semidirect
154. #4671C22semidirect
155. #4671C22semidirect
156. #4669C22semidirect
157. #4668C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
160. #4667C22semidirect
161. #4667C22semidirect
162. #4667C22semidirect
163. #4667C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. #4664C22semidirect
184. D3×#95C22semidirect
185. D3×#95C22semidirect
186. #4660C22semidirect
187. #4660C22semidirect
188. #4655C22semidirect
189. #4655C22semidirect
206. #2444D3semidirect
256. C2×D3×D4D4semidirect
470. C2×C4×D4C2×D3semidirect
480. #400C2×D3semidirect
490. #397C2×D3semidirect
491. #397C2×D3semidirect
507. #394C2×D3semidirect
521. #388C2×D3semidirect
525. #387C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
571. #385C2×D3semidirect
575. #381C2×D3semidirect
588. C2×#95C2×D3semidirect
745. C2×D12#41semidirect
1940. C3#38076semidirect

Maximal subgroups

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

subgroupindex
C2×#56092
C2×#55542
C3×#24442
#826512
#824042
#783652
#783562
#776892
#776872
#776842
#775832
#771082
#770292
#759172
#758822
#753912
#752982
#749352
#748882
#748852
#748742
D3×#3862
#747912
#746902
#746862
#746012
#744082
#741392
#741262
#733772
C2×#46652
#380763