Finite Group Databasebeta

← #11034571

Subgroups — #11034571

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×#5550C211yesmaximal, characteristic, complemented
2C2×D4×D12C211yesmaximal, characteristic, complemented
3C3×#2325C211yesmaximal, characteristic, complemented
4#82702C211yesmaximal, characteristic, complemented
5#82702C211yesmaximal, characteristic, complemented
6#82385C211yesmaximal, characteristic, complemented
7#82380C211yesmaximal, characteristic, complemented
8#75917C211yesmaximal, characteristic, complemented
9#75914C211yesmaximal, characteristic, complemented
10#75849C211yesmaximal, characteristic, complemented
11#75845C211yesmaximal, characteristic, complemented
12#75397C211yesmaximal, characteristic, complemented
13#75391C211yesmaximal, characteristic, complemented
14#75320C211yesmaximal, characteristic, complemented
15#75315C211yesmaximal, characteristic, complemented
16#74935C211yesmaximal, characteristic, complemented
17#74921C211yesmaximal, characteristic, complemented
18#74911C211yesmaximal, characteristic, complemented
19#74905C211yesmaximal, characteristic, complemented
20#74887C211yesmaximal, characteristic, complemented
21#74886C211yesmaximal, characteristic, complemented
22#74874C211yesmaximal, characteristic, complemented
23D3×#386C211yesmaximal, characteristic, complemented
24#74639C211yesmaximal, characteristic, complemented
25#74634C211yesmaximal, characteristic, complemented
26#74606C211yesmaximal, characteristic, complemented
27#74599C211yesmaximal, characteristic, complemented
28#74018C211yesmaximal, characteristic, complemented
29#74018C211yesmaximal, characteristic, complemented
30#73379C211yesmaximal, characteristic, complemented
31C2×#4665C211yesmaximal, characteristic, complemented
32#38076—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×#235C2211yescharacteristic, complemented
36C23×D12C2211yescharacteristic
37C23×D12C2211yescharacteristic
38C23×C4×D3C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C2×C3×C4×D4C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×#930C2211yescharacteristic
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
54C2×#924C2211yescharacteristic, complemented
55#5550—28no—
56D4×D12—28no—
57C2×#895C2211yescharacteristic
58C2×#895C2211yescharacteristic
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic, complemented
72C2×D3×C22⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×#875C2211yescharacteristic, complemented
76C2×#874C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C2×C4×D12C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#380C2211yescharacteristic, complemented
90C2×C3×#95C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5210C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103C2×C3⋊#95C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4992C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic, complemented
138#4955C2211yescharacteristic, complemented
139#4955C2211yescharacteristic, complemented
140#4955C2211yescharacteristic, complemented
141#4953C2211yescharacteristic, complemented
142#4949C2211yescharacteristic, complemented
143#4947C2211yescharacteristic, complemented
144#4942C2211yescharacteristic, complemented
145#4942C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4940C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4673C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4667C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
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
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186D3×#95C2211yescharacteristic, complemented
187D3×#95C2211yescharacteristic, complemented
188#4659C2211yescharacteristic, complemented
189#4659C2211yescharacteristic, 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#2444—31no—
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#2325D311yescharacteristic, complemented
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
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C2×D3×D4—24no—
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—24no—
249C2×D3×D4—42no—
250C2×D3×D4—42no—
251C2×#235—24no—
252C2×#235—42no—
253C2×#235—42no—
254C22×D12—24no—
255C22×D12—42no—
256C22×D12—42no—
257C22×D12—42no—
258C22×D12—42no—
259C22×D12D418yescomplemented
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—
287C3×C4×D4—24no—
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
303C2×C3×C42C2311yescharacteristic
304C2×C3×C42C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313#939—42no—
314#939—42no—
315#937—24no—
316#937—24no—
317#937—42no—
318#937—42no—
319#930—24no—
320#930—24no—
321#930—24no—
322C2×(C2×D3)⋊C4—42no—
323C2×(C2×D3)⋊C4—42no—
324C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367#924—24no—
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376#895—24no—
377#895—24no—
378#894—24no—
379#894—24no—
380#894—42no—
381#894—42no—
382#884—24no—
383#884—24no—
384#884—42no—
385#884—42no—
386#882—24no—
387#882—24no—
388#882—24no—
389#882—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394#875—24no—
395#874—24no—
396C4×D12—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×D4C2×D311yescharacteristic
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#400—31no—
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#397—31no—
491#397—31no—
492#395—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#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#388C2×D311yescharacteristic, complemented
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387C2×D311yescharacteristic, complemented
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
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#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#381—31no—
573#381—31no—
574#381—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380C2×D311yescharacteristic, complemented
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—41no—
633C2×C3×D4—41no—
634C2×C3×D4#4114yescomplemented
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—41no—
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×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4C2×D414yes—
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
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
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—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
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
708D3×D4—416no—
709D3×D4—416no—
710#235—416no—
711C2×D12—22no—
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—416no—
727C2×D12—416no—
728C2×D12—41no—
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×D12C2×D414yes—
743C2×D12C2×D414yes—
744C2×D12C2×D414yes—
745C2×D12C2×D414yes—
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—22no—
757C2×C4×D3—22no—
758C2×C4×D3—22no—
759C2×C4×D3—22no—
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—41no—
772C2×C4×D3—416no—
773C2×C4×D3—41no—
774C2×C4×D3—41no—
775C2×C4×D3—41no—
776C2×C4×D3—41no—
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×C4⋊C4—41no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—22no—
787C3×C22⋊C4—22no—
788C3×C22⋊C4—22no—
789C3×C22⋊C4—22no—
790C3×C22⋊C4—22no—
791C3×C22⋊C4—41no—
792C3×C22⋊C4—41no—
793C3×C22⋊C4—41no—
794C3×C22⋊C4—41no—
795C3×C42—22no—
796C3×C42—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
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—22no—
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—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845C4⋊Dic3—22no—
846C4⋊Dic3—22no—
847Dic3⋊C4—22no—
848Dic3⋊C4—22no—
849Dic3⋊C4—22no—
850Dic3⋊C4—41no—
851Dic3⋊C4—41no—
852Dic3⋊C4—41no—
853Dic3⋊C4—41no—
854Dic3⋊C4—41no—
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—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—38no—
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—122no—
912C23×C4—122no—
913C23×C4—122no—
914C23×C4C22×D311yescharacteristic
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—24no—
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⋊C4C22×D311yescharacteristic
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—31no—
1013C2×C22⋊C4—64no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—122no—
1016C2×C22⋊C4—122no—
1017C2×C22⋊C4—122no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4—122no—
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×C42C22×D311yescharacteristic
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#95—31no—
1055#95—31no—
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×C3C2×#4112yes—
1085C23×C3C2×#4112yes—
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×D3C22×D412yes—
1156C22×D3H(5,𝔽2)12yes—
1157C22×D3H(5,𝔽2)12yes—
1158C3×D4—28no—
1159C3×D4—44no—
1160C3×D4—82no—
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—44no—
1195C2×C3×C4—44no—
1196C2×C3×C4—44no—
1197C2×C3×C4—44no—
1198C2×C3×C4—82no—
1199C2×C3×C4C22×D412yes—
1200C2×C3×C4C22×D412yes—
1201C2×C3×C4C2×#4112yes—
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—
1211#67—82no—
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—21no—
1240C2×Dic3—21no—
1241C2×Dic3—44no—
1242C2×Dic3—82no—
1243C2×Dic3H(5,𝔽2)12yes—
1244D12—28no—
1245D12—28no—
1246D12—44no—
1247D12—44no—
1248D12—44no—
1249D12—44no—
1250D12—44no—
1251D12—44no—
1252D12—44no—
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—34no—
1314C2×D4—34no—
1315C2×D4—34no—
1316C2×D4—34no—
1317C2×D4—41no—
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—62no—
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—1216no—
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—121no—
1380C2×D4—1216no—
1381C2×D4—1216no—
1382C2×D4#23514yescomplemented
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—62no—
1415C22×C4—62no—
1416C22×C4—62no—
1417C22×C4—62no—
1418C22×C4—62no—
1419C22×C4—62no—
1420C22×C4—62no—
1421C22×C4—62no—
1422C22×C4—62no—
1423C22×C4—62no—
1424C22×C4—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—1216no—
1441C22×C4—121no—
1442C22×C4—121no—
1443C22×C4—121no—
1444C22×C4D3×D414yes—
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—41no—
1462C4⋊C4—62no—
1463C4⋊C4—62no—
1464C4⋊C4—62no—
1465C4⋊C4—62no—
1466C4⋊C4—62no—
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—22no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—62no—
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—121no—
1505C22⋊C4—121no—
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—22no—
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#54614yes—
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#53414yes—
1606C3×C4—22no—
1607C3×C4—22no—
1608C3×C4—22no—
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—41no—
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—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
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—68no—
1675C23—68no—
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×#23512yes—
1716C23C2×#23512yes—
1717C23C2×D3×D412yes—
1718C23#100912yes—
1719C23C24×D311yescharacteristic
1720Q8—124no—
1721D4—28no—
1722D4—44no—
1723D4—68no—
1724D4—68no—
1725D4—82no—
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—124no—
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—32no—
1779C2×C4—44no—
1780C2×C4—44no—
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—61no—
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—242no—
1823C2×C4—242no—
1824C2×C4—242no—
1825C2×C4C2×#23512yes—
1826C2×C4C2×D3×D412yes—
1827C2×C4C2×D3×D412yes—
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#555014yes—
1911C22C22×#23511yescharacteristic
1912C22C22×D3×D411yescharacteristic
1913C22C2×#100911yescharacteristic
1914C22D3×H(5,𝔽2)11yescharacteristic
1915C22D3×H(5,𝔽2)11yescharacteristic
1916C22D3×H(5,𝔽2)11yescharacteristic
1917C22#596811yescharacteristic
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—62no—
1931C4—121no—
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×#555011yescharacteristic
1951C2#8587111yescharacteristic
1952C2#8590511yescharacteristic
1953C2D3×#53411yescharacteristic
1954C2#8638211yescharacteristic
1955C2#8641811yescharacteristic
1956C2#8645811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2325C2
hypercenter#2325D3
hypocenterC3#38076
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. C2×#5550C2semidirect
2. C2×D4×D12C2semidirect
3. C3×#2325C2semidirect
4. #82702C2semidirect
5. #82702C2semidirect
6. #82385C2semidirect
7. #82380C2semidirect
8. #75917C2semidirect
9. #75914C2semidirect
10. #75849C2semidirect
11. #75845C2semidirect
12. #75397C2semidirect
13. #75391C2semidirect
14. #75320C2semidirect
15. #75315C2semidirect
16. #74935C2semidirect
17. #74921C2semidirect
18. #74911C2semidirect
19. #74905C2semidirect
20. #74887C2semidirect
21. #74886C2semidirect
22. #74874C2semidirect
23. D3×#386C2semidirect
24. #74639C2semidirect
25. #74634C2semidirect
26. #74606C2semidirect
27. #74599C2semidirect
28. #74018C2semidirect
29. #74018C2semidirect
30. #73379C2semidirect
31. C2×#4665C2semidirect
35. C22×#235C22semidirect
38. C23×C4×D3C22semidirect
41. C2×C3×C4×D4C22semidirect
42. C2×#939C22semidirect
43. C2×#939C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
46. C2×#937C22semidirect
47. C2×#937C22semidirect
50. C2×#930C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×(C2×D3)⋊C4C22semidirect
54. C2×#924C22semidirect
60. C2×#894C22semidirect
61. C2×#894C22semidirect
62. C2×#894C22semidirect
64. C2×#884C22semidirect
65. C2×#884C22semidirect
66. C2×#884C22semidirect
71. C2×D3×C22⋊C4C22semidirect
72. C2×D3×C22⋊C4C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×#875C22semidirect
78. C2×C4×D12C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#387C22semidirect
82. C3×#387C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
87. C3×#385C22semidirect
88. C3×#385C22semidirect
89. C3×#380C22semidirect
90. C2×C3×#95C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. #5210C22semidirect
102. #5210C22semidirect
103. C2×C3⋊#95C22semidirect
104. #4992C22semidirect
105. #4992C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4986C22semidirect
116. #4981C22semidirect
117. #4979C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4958C22semidirect
128. #4958C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4955C22semidirect
138. #4955C22semidirect
139. #4955C22semidirect
140. #4955C22semidirect
141. #4953C22semidirect
142. #4949C22semidirect
143. #4947C22semidirect
144. #4942C22semidirect
145. #4942C22semidirect
146. #4940C22semidirect
147. #4940C22semidirect
148. #4933C22semidirect
149. #4933C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4674C22semidirect
155. #4674C22semidirect
156. #4673C22semidirect
157. #4673C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4672C22semidirect
164. #4667C22semidirect
165. #4667C22semidirect
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. #4664C22semidirect
185. #4664C22semidirect
186. D3×#95C22semidirect
187. D3×#95C22semidirect
188. #4659C22semidirect
189. #4659C22semidirect
217. #2325D3semidirect
259. C22×D12D4semidirect
470. C2×C4×D4C2×D3semidirect
520. #388C2×D3semidirect
521. #388C2×D3semidirect
524. #387C2×D3semidirect
525. #387C2×D3semidirect
561. #386C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
580. #380C2×D3semidirect
588. C2×#95C2×D3semidirect
634. C2×C3×D4#41semidirect
1382. C2×D4#235semidirect
1940. C3#38076semidirect

Maximal subgroups

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

subgroupindex
C2×#55502
C2×D4×D122
C3×#23252
#827022
#823852
#823802
#759172
#759142
#758492
#758452
#753972
#753912
#753202
#753152
#749352
#749212
#749112
#749052
#748872
#748862
#748742
D3×#3862
#746392
#746342
#746062
#745992
#740182
#733792
C2×#46652
#380763