Finite Group Databasebeta

← #11633111

Subgroups — #11633111

Order 768.

4080 conjugacy classes of subgroups.

The subgroup lattice has 2014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#937C211yesmaximal, characteristic
2C2×#5658C211yesmaximal, characteristic, complemented
3C3×#2405C211yesmaximal, characteristic, complemented
4D4×#217C211yesmaximal, characteristic, complemented
5#82900C211yesmaximal, characteristic, complemented
6#82895C211yesmaximal, characteristic, complemented
7#82894C211yesmaximal, characteristic, complemented
8C2×#4955C211yesmaximal, characteristic, complemented
9#82097C211yesmaximal, characteristic, complemented
10#77146C211yesmaximal, characteristic, complemented
11#77144C211yesmaximal, characteristic, complemented
12#77143C211yesmaximal, characteristic, complemented
13#77140C211yesmaximal, characteristic, complemented
14#77119C211yesmaximal, characteristic, complemented
15#77112C211yesmaximal, characteristic, complemented
16#77109C211yesmaximal, characteristic, complemented
17#76925C211yesmaximal, characteristic, complemented
18#74891C211yesmaximal, characteristic, complemented
19#74890C211yesmaximal, characteristic, complemented
20#74879C211yesmaximal, characteristic, complemented
21#74727C211yesmaximal, characteristic, complemented
22#74595C211yesmaximal, characteristic, complemented
23#74453C211yesmaximal, characteristic, complemented
24#74452C211yesmaximal, characteristic, complemented
25#74413C211yesmaximal, characteristic, complemented
26#73853C211yesmaximal, characteristic, complemented
27#73850C211yesmaximal, characteristic, complemented
28D3×#379C211yesmaximal, characteristic, complemented
29#73828C211yesmaximal, characteristic, complemented
30#73827C211yesmaximal, characteristic, complemented
31#73823C211yesmaximal, characteristic, complemented
32#59006—31nomaximal, Sylow
33C25×D3C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×#67C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic, complemented
43C2×#937—28no—
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic, complemented
53C2×D4×Dic3C2211yescharacteristic, complemented
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
57C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
58C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
59C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
60C2×#926C2211yescharacteristic, complemented
61#5658—28no—
62C2×#898C2211yescharacteristic, complemented
63C2×#898C2211yescharacteristic, complemented
64C2×#897C2211yescharacteristic, complemented
65C2×#892C2211yescharacteristic, complemented
66C2×#886C2211yescharacteristic, complemented
67C2×#886C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#883C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C2×#878C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#379C2211yescharacteristic
91C3×#379C2211yescharacteristic, complemented
92C3×#379C2211yescharacteristic, complemented
93#5247C2211yescharacteristic
94#5247C2211yescharacteristic, complemented
95#5221C2211yescharacteristic, complemented
96#5221C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5212C2211yescharacteristic, complemented
102#5212C2211yescharacteristic, complemented
103#5211C2211yescharacteristic, complemented
104C4×#217C2211yescharacteristic, complemented
105C4×#217C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4992C2211yescharacteristic, complemented
111#4992C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4987C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4955C2211yescharacteristic, complemented
154#4955C2211yescharacteristic, complemented
155#4955C2211yescharacteristic, complemented
156#4951C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4951C2211yescharacteristic, complemented
160#4950C2211yescharacteristic, complemented
161#4950C2211yescharacteristic, complemented
162#4950C2211yescharacteristic, complemented
163#4950C2211yescharacteristic, complemented
164#4949C2211yescharacteristic, complemented
165#4948C2211yescharacteristic, complemented
166#4948C2211yescharacteristic, complemented
167#4947C2211yescharacteristic, complemented
168#4946C2211yescharacteristic, complemented
169#4946C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4677C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4674C2211yescharacteristic, complemented
178#4674C2211yescharacteristic, complemented
179#4673C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4670C2211yescharacteristic, complemented
182#4670C2211yescharacteristic, complemented
183#4670C2211yescharacteristic, complemented
184#4669C2211yescharacteristic, complemented
185#4669C2211yescharacteristic, complemented
186#4668C2211yescharacteristic, complemented
187#4668C2211yescharacteristic, complemented
188#4666C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#120—31no—
192#2697—31no—
193#2685—31no—
194#2685—31no—
195#2684—31no—
196#2534—31no—
197#2534—31no—
198#2480—31no—
199#2480—31no—
200#2472—31no—
201#2472—31no—
202#2437—31no—
203#2437—31no—
204#2435—31no—
205#2418—31no—
206#2418—31no—
207#2412—31no—
208#2412—31no—
209#2411—31no—
210#2411—31no—
211#2405—31no—
212#2405—31no—
213#2405D311yescharacteristic, complemented
214#2358—31no—
215#2342—31no—
216#2342—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219C2×#379—31no—
220C2×#379—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3—24no—
224C24×D3—24no—
225C24×D3—24no—
226C24×D3—42no—
227C24×D3—42no—
228C24×D3—42no—
229C24×D3—42no—
230C24×D3C2311yescharacteristic
231C24×D3C2311yescharacteristic
232C24×D3C2311yescharacteristic
233C24×D3C2311yescharacteristic
234C24×D3C2311yescharacteristic
235C24×D3C2311yescharacteristic
236C22×C3×D4—24no—
237C22×C3×D4—24no—
238C22×C3×D4—42no—
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C22×C3×D4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C22×#67—24no—
247C22×#67—24no—
248C22×#67—24no—
249C22×#67—42no—
250C22×#67—42no—
251C22×#67—42no—
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic, complemented
265C23×Dic3C2311yescharacteristic, complemented
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic, complemented
271C3×#123—24no—
272C3×#123—42no—
273C2×C3×C4⋊C4C2311yescharacteristic, complemented
274C2×C3×C4⋊C4C2311yescharacteristic, complemented
275C2×C3×C4⋊C4C2311yescharacteristic, complemented
276C2×C3×C4⋊C4C2311yescharacteristic, complemented
277C2×C3×C22⋊C4—24no—
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic, complemented
289C2×C3×C22⋊C4C2311yescharacteristic, complemented
290C2×C3×C22⋊C4C2311yescharacteristic, complemented
291C2×C3×C22⋊C4C2311yescharacteristic, complemented
292C2×C3×C22⋊C4C2311yescharacteristic, complemented
293C2×C3×C22⋊C4C2311yescharacteristic, complemented
294C2×C3×C22⋊C4C2311yescharacteristic, complemented
295C2×C3×C22⋊C4C2311yescharacteristic, complemented
296C2×#217—24no—
297C2×#217—42no—
298C2×#217—42no—
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic, complemented
314C2×#217C2311yescharacteristic, complemented
315C2×#217C2311yescharacteristic, complemented
316C2×#217C2311yescharacteristic, complemented
317C2×#217C2311yescharacteristic, complemented
318C2×#217C2311yescharacteristic, complemented
319#937—24no—
320#937—24no—
321#937—24no—
322#937—24no—
323#937—24no—
324#937—24no—
325#937—24no—
326#937D418yes—
327D4×Dic3—24no—
328D4×Dic3—42no—
329C2×(C2×D3)⋊C4—24no—
330C2×(C2×D3)⋊C4—24no—
331C2×(C2×D3)⋊C4—24no—
332C2×(C2×D3)⋊C4—42no—
333C2×(C2×D3)⋊C4—42no—
334C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371#926—24no—
372C2×C4⋊Dic3C2311yescharacteristic, complemented
373C2×C4⋊Dic3C2311yescharacteristic, complemented
374C2×C4⋊Dic3C2311yescharacteristic, complemented
375C2×C4⋊Dic3C2311yescharacteristic, complemented
376C2×C4⋊Dic3C2311yescharacteristic, complemented
377C2×C4⋊Dic3C2311yescharacteristic, complemented
378C2×C4⋊Dic3C2311yescharacteristic, complemented
379C2×C4⋊Dic3C2311yescharacteristic, complemented
380C2×C4⋊Dic3C2311yescharacteristic, complemented
381C2×Dic3⋊C4C2311yescharacteristic, complemented
382C2×Dic3⋊C4C2311yescharacteristic, complemented
383C2×Dic3⋊C4C2311yescharacteristic, complemented
384C2×Dic3⋊C4C2311yescharacteristic, complemented
385C2×Dic3⋊C4C2311yescharacteristic, complemented
386C2×Dic3⋊C4C2311yescharacteristic, complemented
387C2×C4×Dic3C2311yescharacteristic, complemented
388C2×C4×Dic3C2311yescharacteristic, complemented
389C2×C4×Dic3C2311yescharacteristic, complemented
390C2×C4×Dic3C2311yescharacteristic, complemented
391C2×C4×Dic3C2311yescharacteristic, complemented
392C2×C4×Dic3C2311yescharacteristic, complemented
393#898—24no—
394#898—24no—
395#897—24no—
396#892—24no—
397#886—24no—
398#886—42no—
399#885—24no—
400#885—42no—
401#883—24no—
402#883—42no—
403#67⋊C4—24no—
404#67⋊C4—42no—
405D3×C22⋊C4—24no—
406D3×C22⋊C4—24no—
407D3×C22⋊C4—42no—
408D3×C22⋊C4—42no—
409D3×C22⋊C4—42no—
410D3×C22⋊C4—42no—
411#878—24no—
412#878—42no—
413C3×#95C2311yescharacteristic, complemented
414C3×#95C2311yescharacteristic, complemented
415C3×#95C2311yescharacteristic, complemented
416C3×#95C2311yescharacteristic, complemented
417C3⋊#95C2311yescharacteristic, complemented
418C3⋊#95C2311yescharacteristic, complemented
419C3⋊#95C2311yescharacteristic, complemented
420C3⋊#95C2311yescharacteristic, complemented
421C3⋊#95C2311yescharacteristic, complemented
422C3⋊#95C2311yescharacteristic, complemented
423C3⋊#95C2311yescharacteristic, complemented
424C3⋊#95C2311yescharacteristic, complemented
425C3⋊#95C2311yescharacteristic, complemented
426C3⋊#95C2311yescharacteristic, complemented
427C3⋊#95C2311yescharacteristic, complemented
428C3⋊#95C2311yescharacteristic, complemented
429C3⋊#95C2311yescharacteristic, complemented
430C3⋊#95C2311yescharacteristic, complemented
431C3⋊#95C2311yescharacteristic, complemented
432C3⋊#95C2311yescharacteristic, complemented
433C3⋊#95C2311yescharacteristic, complemented
434C3⋊#95C2311yescharacteristic, complemented
435C26—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4C2×D311yescharacteristic
439#551—68no—
440C2×#126—31no—
441C2×#126—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123C2×D311yescharacteristic, complemented
449C2×#123C2×D311yescharacteristic, complemented
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—31no—
452C2×C22⋊Q8—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—68no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×#117—31no—
467C2×#117—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
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—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482C22×C22⋊C4—31no—
483C22×C22⋊C4C2×D311yescharacteristic
484#399—31no—
485#399—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397—31no—
491#397—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394C2×D311yescharacteristic, complemented
511#394C2×D311yescharacteristic, complemented
512#394C2×D311yescharacteristic, complemented
513#394C2×D311yescharacteristic, complemented
514#393—31no—
515#393—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#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#386C2×D311yescharacteristic, complemented
549#386C2×D311yescharacteristic, complemented
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385C2×D311yescharacteristic, complemented
559#385C2×D311yescharacteristic, complemented
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379C2×D311yescharacteristic
585#379C2×D311yescharacteristic, complemented
586#379C2×D311yescharacteristic, complemented
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C4×C22⋊C4—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4—31no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—22no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3#4114yes—
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—22no—
623C23×D3—22no—
624C23×D3—22no—
625C23×D3—22no—
626C23×D3—22no—
627C23×D3—22no—
628C23×D3—22no—
629C23×D3—22no—
630C23×D3—22no—
631C23×D3—22no—
632C23×D3—22no—
633C23×D3—22no—
634C23×D3—22no—
635C23×D3—22no—
636C23×D3—22no—
637C23×D3—41no—
638C23×D3—41no—
639C23×D3—41no—
640C23×D3—41no—
641C23×D3—41no—
642C23×D3—41no—
643C23×D3—41no—
644C23×D3—41no—
645C23×D3—41no—
646C23×D3—41no—
647C23×D3—41no—
648C23×D3—41no—
649C23×D3—41no—
650C23×D3—41no—
651C23×D3—416no—
652C23×D3—416no—
653C23×D3—416no—
654C23×D3—416no—
655C23×D3—416no—
656C23×D3—416no—
657C23×D3—416no—
658C23×D3C2×D414yes—
659C23×D3#4114yes—
660C23×D3C2411yescharacteristic
661C23×D3C2411yescharacteristic
662C23×D3C2411yescharacteristic
663C23×D3C2411yescharacteristic
664C2×C3×D4—22no—
665C2×C3×D4—22no—
666C2×C3×D4—22no—
667C2×C3×D4—22no—
668C2×C3×D4—22no—
669C2×C3×D4—22no—
670C2×C3×D4—22no—
671C2×C3×D4—22no—
672C2×C3×D4—22no—
673C2×C3×D4—41no—
674C2×C3×D4—41no—
675C2×C3×D4—416no—
676C2×C3×D4C2×D414yes—
677C22×C3×C4—22no—
678C22×C3×C4—22no—
679C22×C3×C4—22no—
680C22×C3×C4—22no—
681C22×C3×C4—22no—
682C22×C3×C4—22no—
683C22×C3×C4—41no—
684C22×C3×C4—41no—
685C22×C3×C4—41no—
686C22×C3×C4C2411yescharacteristic
687C22×C3×C4C2411yescharacteristic
688C22×C3×C4C2411yescharacteristic
689C22×C3×C4C2411yescharacteristic
690C22×C3×C4C2411yescharacteristic
691C22×C3×C4C2411yescharacteristic
692C22×C3×C4C2411yescharacteristic
693C22×C3×C4C2411yescharacteristic
694C22×C3×C4C2411yescharacteristic
695C22×C3×C4C2411yescharacteristic
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
708C2×#67—22no—
709C2×#67—22no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—416no—
719C2×#67—416no—
720C2×#67C2×D414yes—
721C2×#67C2×D414yes—
722C22×Dic3—22no—
723C22×Dic3—22no—
724C22×Dic3—22no—
725C22×Dic3—22no—
726C22×Dic3—22no—
727C22×Dic3—22no—
728C22×Dic3—22no—
729C22×Dic3—41no—
730C22×Dic3—41no—
731C22×Dic3—41no—
732C22×Dic3—41no—
733C22×Dic3—41no—
734C22×Dic3—41no—
735C22×Dic3—41no—
736C22×Dic3—41no—
737C22×Dic3—41no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
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—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×Dic6—22no—
765C2×Dic6—41no—
766C2×Dic6—41no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—41no—
770C3×C4⋊C4—41no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217C2×D414yes—
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—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
844(C2×D3)⋊C4C2×D414yes—
845C4⋊Dic3—22no—
846C4⋊Dic3—22no—
847C4⋊Dic3—22no—
848C4⋊Dic3—22no—
849C4⋊Dic3—41no—
850C4⋊Dic3—41no—
851C4⋊Dic3—41no—
852C4⋊Dic3—41no—
853C4⋊Dic3—41no—
854Dic3⋊C4—22no—
855Dic3⋊C4—22no—
856Dic3⋊C4—41no—
857Dic3⋊C4—41no—
858Dic3⋊C4—41no—
859Dic3⋊C4—41no—
860C4×Dic3—22no—
861C4×Dic3—22no—
862C4×Dic3—22no—
863C4×Dic3—41no—
864C4×Dic3—41no—
865C4×Dic3—41no—
866C25—31no—
867C25—31no—
868C25—31no—
869C25—31no—
870C25—31no—
871C25—31no—
872C25—64no—
873C25—64no—
874C25—64no—
875C25—122no—
876C25—122no—
877C25—122no—
878C25—122no—
879C25C22×D311yescharacteristic
880C25C22×D311yescharacteristic
881C22×Q8—31no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—42no—
893C22×D4—64no—
894C22×D4—64no—
895C22×D4—64no—
896C22×D4—122no—
897C22×D4—122no—
898C22×D4—122no—
899C22×D4C22×D311yescharacteristic
900C22×D4C22×D311yescharacteristic
901C22×D4C22×D311yescharacteristic
902C22×D4C22×D311yescharacteristic
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—31no—
913C23×C4C22×D311yescharacteristic
914C23×C4C22×D311yescharacteristic
915C23×C4C22×D311yescharacteristic
916#126—64no—
917#126—64no—
918#124—64no—
919#124—122no—
920#123—24no—
921#123—42no—
922#123—64no—
923#123—64no—
924#123—122no—
925#123—122no—
926C22⋊Q8—64no—
927C22⋊Q8—64no—
928C22⋊Q8—122no—
929#120—38no—
930#120—64no—
931#120—64no—
932#120—64no—
933#120—64no—
934#120—64no—
935#120—64no—
936#120—64no—
937C4×D4—64no—
938C4×D4—64no—
939C4×D4—122no—
940C4×D4—122no—
941#117—64no—
942#117—64no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4C22×D311yescharacteristic, complemented
959C2×C4⋊C4C22×D311yescharacteristic, complemented
960C2×C4⋊C4C22×D311yescharacteristic, complemented
961C2×C4⋊C4C22×D311yescharacteristic, complemented
962C2×C22⋊C4—24no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—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—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—64no—
1020C2×C22⋊C4—64no—
1021C2×C22⋊C4—64no—
1022C2×C22⋊C4—64no—
1023C2×C22⋊C4—64no—
1024C2×C22⋊C4—64no—
1025C2×C22⋊C4—122no—
1026C2×C22⋊C4—122no—
1027C2×C22⋊C4—122no—
1028C2×C22⋊C4—122no—
1029C2×C22⋊C4—122no—
1030C2×C22⋊C4—122no—
1031C2×C22⋊C4—122no—
1032C2×C22⋊C4—122no—
1033C2×C22⋊C4—122no—
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C22⋊C4C22×D311yescharacteristic
1038C2×C22⋊C4C22×D311yescharacteristic
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic, complemented
1045C2×C22⋊C4C22×D311yescharacteristic, complemented
1046C2×C22⋊C4C22×D311yescharacteristic, complemented
1047C2×C22⋊C4C22×D311yescharacteristic, complemented
1048C2×C22⋊C4C22×D311yescharacteristic, complemented
1049C2×C22⋊C4C22×D311yescharacteristic, complemented
1050C2×C22⋊C4C22×D311yescharacteristic, complemented
1051C2×C22⋊C4C22×D311yescharacteristic, complemented
1052C2×C42—31no—
1053C2×C42—31no—
1054C2×C42—31no—
1055C2×C42—31no—
1056C2×C42—31no—
1057C2×C42—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95C22×D311yescharacteristic, complemented
1077#95C22×D311yescharacteristic, complemented
1078#95C22×D311yescharacteristic, complemented
1079#95C22×D311yescharacteristic, complemented
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—28no—
1089C23×C3—28no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—44no—
1110C23×C3—44no—
1111C23×C3—44no—
1112C23×C3—44no—
1113C23×C3—44no—
1114C23×C3—44no—
1115C23×C3—44no—
1116C23×C3—44no—
1117C23×C3—44no—
1118C23×C3—82no—
1119C23×C3—82no—
1120C23×C3—82no—
1121C23×C3C22×D412yes—
1122C23×C3C22×D412yes—
1123C23×C3C2×#4112yes—
1124C23×C3C2×#4112yes—
1125C23×C3C2×#4112yes—
1126C23×C3C2×#4112yes—
1127C23×C3H(5,𝔽2)12yes—
1128C23×C3H(5,𝔽2)12yes—
1129C23×C3C2511yescharacteristic
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—28no—
1135C22×D3—28no—
1136C22×D3—28no—
1137C22×D3—28no—
1138C22×D3—28no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—28no—
1158C22×D3—28no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—44no—
1169C22×D3—44no—
1170C22×D3—44no—
1171C22×D3—44no—
1172C22×D3—44no—
1173C22×D3—44no—
1174C22×D3—44no—
1175C22×D3—44no—
1176C22×D3—44no—
1177C22×D3—44no—
1178C22×D3—44no—
1179C22×D3—44no—
1180C22×D3—44no—
1181C22×D3—44no—
1182C22×D3—44no—
1183C22×D3—44no—
1184C22×D3—44no—
1185C22×D3—44no—
1186C22×D3—44no—
1187C22×D3—44no—
1188C22×D3—44no—
1189C22×D3—44no—
1190C22×D3—4128no—
1191C22×D3—44no—
1192C22×D3—44no—
1193C22×D3—44no—
1194C22×D3—44no—
1195C22×D3C22×D412yes—
1196C22×D3C22×D412yes—
1197C22×D3C2×#4112yes—
1198C22×D3C2×#4112yes—
1199C22×D3H(5,𝔽2)12yes—
1200C22×D3H(5,𝔽2)12yes—
1201C3×D4—28no—
1202C3×D4—44no—
1203C3×D4—44no—
1204C3×D4—44no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—21no—
1221C2×C3×C4—21no—
1222C2×C3×C4—21no—
1223C2×C3×C4—21no—
1224C2×C3×C4—21no—
1225C2×C3×C4—21no—
1226C2×C3×C4—21no—
1227C2×C3×C4—21no—
1228C2×C3×C4—21no—
1229C2×C3×C4—21no—
1230C2×C3×C4—21no—
1231C2×C3×C4—21no—
1232C2×C3×C4—21no—
1233C2×C3×C4—21no—
1234C2×C3×C4—44no—
1235C2×C3×C4—44no—
1236C2×C3×C4—82no—
1237C2×C3×C4C22×D412yes—
1238#67—28no—
1239#67—44no—
1240#67—44no—
1241#67—44no—
1242#67—44no—
1243#67—44no—
1244#67—44no—
1245#67—44no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—21no—
1277C2×Dic3—21no—
1278C2×Dic3—21no—
1279C2×Dic3—21no—
1280C2×Dic3—44no—
1281C2×Dic3—44no—
1282C2×Dic3—82no—
1283C2×Dic3—82no—
1284C2×Dic3—82no—
1285C2×Dic3—82no—
1286C2×Dic3C22×D412yes—
1287C2×Dic3C22×D412yes—
1288C4×D3—44no—
1289C4×D3—82no—
1290C4×D3—82no—
1291C4×D3—82no—
1292Dic6—82no—
1293C24—22no—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—22no—
1301C24—31no—
1302C24—31no—
1303C24—31no—
1304C24—31no—
1305C24—34no—
1306C24—34no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—62no—
1313C24—62no—
1314C24—62no—
1315C24—62no—
1316C24—62no—
1317C24—62no—
1318C24—62no—
1319C24—62no—
1320C24—62no—
1321C24—62no—
1322C24—62no—
1323C24—62no—
1324C24—62no—
1325C24—62no—
1326C24—62no—
1327C24—62no—
1328C24—62no—
1329C24—62no—
1330C24—62no—
1331C24—62no—
1332C24—62no—
1333C24—62no—
1334C24—62no—
1335C24—62no—
1336C24—62no—
1337C24—62no—
1338C24—121no—
1339C24—121no—
1340C24—121no—
1341C24—121no—
1342C24—121no—
1343C24—121no—
1344C24—121no—
1345C24—121no—
1346C24—121no—
1347C24—121no—
1348C24—121no—
1349C24—121no—
1350C24—121no—
1351C24—121no—
1352C24—1216no—
1353C24—1216no—
1354C24—1216no—
1355C24—1216no—
1356C24—1216no—
1357C24—1216no—
1358C24—1216no—
1359C24#23714yes—
1360C24C23×D311yescharacteristic
1361C24C23×D311yescharacteristic
1362C24C23×D311yescharacteristic
1363C24C23×D311yescharacteristic
1364C24C23×D311yescharacteristic
1365C2×Q8—62no—
1366C2×Q8—121no—
1367C2×Q8—121no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—34no—
1378C2×D4—34no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—416no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—62no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—1216no—
1405C2×D4—1216no—
1406C2×D4D3×D414yes—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—31no—
1414C22×C4—31no—
1415C22×C4—31no—
1416C22×C4—31no—
1417C22×C4—31no—
1418C22×C4—31no—
1419C22×C4—31no—
1420C22×C4—31no—
1421C22×C4—31no—
1422C22×C4—31no—
1423C22×C4—31no—
1424C22×C4—31no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—62no—
1429C22×C4—62no—
1430C22×C4—62no—
1431C22×C4—62no—
1432C22×C4—62no—
1433C22×C4—62no—
1434C22×C4—62no—
1435C22×C4—62no—
1436C22×C4—62no—
1437C22×C4—62no—
1438C22×C4—62no—
1439C22×C4—62no—
1440C22×C4—62no—
1441C22×C4—121no—
1442C22×C4—121no—
1443C22×C4—121no—
1444C22×C4—121no—
1445C22×C4—121no—
1446C22×C4—121no—
1447C22×C4—121no—
1448C22×C4—121no—
1449C22×C4—121no—
1450C22×C4—121no—
1451C22×C4—121no—
1452C22×C4—121no—
1453C22×C4—121no—
1454C22×C4—121no—
1455C22×C4—121no—
1456C22×C4—121no—
1457C22×C4—121no—
1458C22×C4C23×D311yescharacteristic
1459C22×C4C23×D311yescharacteristic
1460C22×C4C23×D311yescharacteristic
1461C22×C4C23×D311yescharacteristic
1462C22×C4C23×D311yescharacteristic
1463C22×C4C23×D311yescharacteristic
1464C22×C4C23×D311yescharacteristic
1465C22×C4C23×D311yescharacteristic
1466C22×C4C23×D311yescharacteristic
1467C22×C4C23×D311yescharacteristic
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—62no—
1473C4⋊C4—62no—
1474C4⋊C4—62no—
1475C4⋊C4—62no—
1476C4⋊C4—62no—
1477C4⋊C4—62no—
1478C4⋊C4—121no—
1479C4⋊C4—121no—
1480C4⋊C4—121no—
1481C4⋊C4—121no—
1482C4⋊C4—121no—
1483C4⋊C4—121no—
1484C4⋊C4—121no—
1485C4⋊C4—121no—
1486C4⋊C4—121no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—34no—
1498C22⋊C4—34no—
1499C22⋊C4—34no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—62no—
1509C22⋊C4—62no—
1510C22⋊C4—62no—
1511C22⋊C4—62no—
1512C22⋊C4—62no—
1513C22⋊C4—62no—
1514C22⋊C4—62no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C42—62no—
1562C42—62no—
1563C42—62no—
1564C42—121no—
1565C42—121no—
1566C42—121no—
1567C22×C3—22no—
1568C22×C3—22no—
1569C22×C3—22no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
1580C22×C3—22no—
1581C22×C3—22no—
1582C22×C3—22no—
1583C22×C3—22no—
1584C22×C3—22no—
1585C22×C3—416no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3—88no—
1602C22×C3#54614yes—
1603C22×C3#55114yescomplemented
1604C22×C3C23×D411yescharacteristic
1605C22×C3C22×#4111yescharacteristic
1606C22×C3C22×#4111yescharacteristic
1607C22×C3C2×H(5,𝔽2)11yescharacteristic
1608C22×C3C2×H(5,𝔽2)11yescharacteristic
1609C22×C3C2×H(5,𝔽2)11yescharacteristic
1610C22×C3C2×H(5,𝔽2)11yescharacteristic
1611C2×D3—22no—
1612C2×D3—22no—
1613C2×D3—22no—
1614C2×D3—22no—
1615C2×D3—22no—
1616C2×D3—22no—
1617C2×D3—22no—
1618C2×D3—22no—
1619C2×D3—22no—
1620C2×D3—22no—
1621C2×D3—22no—
1622C2×D3—22no—
1623C2×D3—22no—
1624C2×D3—22no—
1625C2×D3—22no—
1626C2×D3—416no—
1627C2×D3—416no—
1628C2×D3—416no—
1629C2×D3—416no—
1630C2×D3—416no—
1631C2×D3—416no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3#54614yes—
1645C3×C4—22no—
1646C3×C4—41no—
1647C3×C4—41no—
1648C3×C4—41no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654C3×C4—41no—
1655Dic3—22no—
1656Dic3—22no—
1657Dic3—41no—
1658Dic3—41no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—28no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—28no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—32no—
1697C23—32no—
1698C23—32no—
1699C23—32no—
1700C23—32no—
1701C23—32no—
1702C23—44no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—68no—
1712C23—68no—
1713C23—68no—
1714C23—68no—
1715C23—68no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—68no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—68no—
1740C23—82no—
1741C23—82no—
1742C23—82no—
1743C23—124no—
1744C23—124no—
1745C23—124no—
1746C23—124no—
1747C23—124no—
1748C23—124no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—124no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—124no—
1757C23—124no—
1758C23—124no—
1759C23—124no—
1760C23—124no—
1761C23—124no—
1762C23—124no—
1763C23—124no—
1764C23—124no—
1765C23—124no—
1766C23—124no—
1767C23—124no—
1768C23—124no—
1769C23—124no—
1770C23—124no—
1771C23—124no—
1772C23—124no—
1773C23—124no—
1774C23—124no—
1775C23—12128no—
1776C23—124no—
1777C23—124no—
1778C23—124no—
1779C23C2×D3×D412yes—
1780C23C2×D3×D412yes—
1781C23C2×#23712yes—
1782C23C2×#23712yes—
1783C23C2×#23712yes—
1784C23#100412yes—
1785C23D3×#4112yes—
1786C23#100912yes—
1787C23C24×D311yescharacteristic
1788Q8—242no—
1789D4—28no—
1790D4—44no—
1791D4—44no—
1792D4—44no—
1793D4—68no—
1794D4—124no—
1795D4—124no—
1796D4—124no—
1797D4—124no—
1798D4—124no—
1799D4—124no—
1800D4—124no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—32no—
1831C2×C4—32no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—61no—
1868C2×C4—82no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—242no—
1873C2×C4—242no—
1874C2×C4—242no—
1875C2×C4—242no—
1876C2×C4—242no—
1877C2×C4—242no—
1878C2×C4—242no—
1879C2×C4C2×D3×D412yes—
1880C2×C3—24no—
1881C2×C3—24no—
1882C2×C3—42no—
1883C2×C3—42no—
1884C2×C3—81no—
1885C2×C3C2×#54611yescharacteristic
1886C2×C3C2×#54611yescharacteristic
1887C2×C3C2×#55111yescharacteristic
1888C2×C3#348411yescharacteristic
1889C2×C3#349011yescharacteristic
1890C2×C3#349011yescharacteristic
1891C2×C3#353211yescharacteristic
1892D3—24no—
1893D3—42no—
1894D3—42no—
1895D3—42no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—22no—
1913C22—22no—
1914C22—34no—
1915C22—416no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—62no—
1932C22—62no—
1933C22—62no—
1934C22—62no—
1935C22—62no—
1936C22—62no—
1937C22—62no—
1938C22—62no—
1939C22—62no—
1940C22—62no—
1941C22—62no—
1942C22—62no—
1943C22—62no—
1944C22—62no—
1945C22—62no—
1946C22—88no—
1947C22—1216no—
1948C22—1216no—
1949C22—1216no—
1950C22—1216no—
1951C22—1216no—
1952C22—1216no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22#559114yes—
1966C22#565814yescomplemented
1967C22C22×D3×D411yescharacteristic
1968C22C22×#23711yescharacteristic
1969C22C2×#100411yescharacteristic
1970C22C2×D3×#4111yescharacteristic
1971C22C2×#100911yescharacteristic
1972C22D3×H(5,𝔽2)11yescharacteristic
1973C22D3×H(5,𝔽2)11yescharacteristic
1974C4—22no—
1975C4—41no—
1976C4—41no—
1977C4—41no—
1978C4—41no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—62no—
1985C4—62no—
1986C4—121no—
1987C4—121no—
1988C4—121no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C3#5900611yescharacteristic, complemented, Sylow
1997C2—24no—
1998C2—24no—
1999C2—42no—
2000C2—42no—
2001C2—64no—
2002C2—81no—
2003C2—122no—
2004C2—122no—
2005C2—122no—
2006C2C2×#559111yescharacteristic
2007C2C2×#565811yescharacteristic
2008C2#8630911yescharacteristic
2009C2D3×#54611yescharacteristic
2010C2#8666211yescharacteristic
2011C2#8666411yescharacteristic
2012C2#8666711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2405C2
prime radicalC22×#937C2
hypercenter#2405D3
hypocenterC3#59006
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
2. C2×#5658C2semidirect
3. C3×#2405C2semidirect
4. D4×#217C2semidirect
5. #82900C2semidirect
6. #82895C2semidirect
7. #82894C2semidirect
8. C2×#4955C2semidirect
9. #82097C2semidirect
10. #77146C2semidirect
11. #77144C2semidirect
12. #77143C2semidirect
13. #77140C2semidirect
14. #77119C2semidirect
15. #77112C2semidirect
16. #77109C2semidirect
17. #76925C2semidirect
18. #74891C2semidirect
19. #74890C2semidirect
20. #74879C2semidirect
21. #74727C2semidirect
22. #74595C2semidirect
23. #74453C2semidirect
24. #74452C2semidirect
25. #74413C2semidirect
26. #73853C2semidirect
27. #73850C2semidirect
28. D3×#379C2semidirect
29. #73828C2semidirect
30. #73827C2semidirect
31. #73823C2semidirect
37. C2×C3×#123C22semidirect
38. C2×C3×#123C22semidirect
42. C22×#217C22semidirect
52. C2×D4×Dic3C22semidirect
53. C2×D4×Dic3C22semidirect
56. C22×(C2×D3)⋊C4C22semidirect
57. C22×(C2×D3)⋊C4C22semidirect
58. C22×(C2×D3)⋊C4C22semidirect
59. C22×(C2×D3)⋊C4C22semidirect
60. C2×#926C22semidirect
62. C2×#898C22semidirect
63. C2×#898C22semidirect
64. C2×#897C22semidirect
65. C2×#892C22semidirect
66. C2×#886C22semidirect
67. C2×#886C22semidirect
68. C2×#885C22semidirect
69. C2×#885C22semidirect
70. C2×#883C22semidirect
71. C2×#883C22semidirect
72. C2×#67⋊C4C22semidirect
73. C2×#67⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×D3×C22⋊C4C22semidirect
80. C2×#878C22semidirect
81. C2×#878C22semidirect
82. C3×#394C22semidirect
83. C3×#394C22semidirect
84. C3×#394C22semidirect
85. C3×#394C22semidirect
86. C3×#386C22semidirect
87. C3×#386C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
91. C3×#379C22semidirect
92. C3×#379C22semidirect
94. #5247C22semidirect
95. #5221C22semidirect
96. #5221C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
99. #5220C22semidirect
100. #5220C22semidirect
101. #5212C22semidirect
102. #5212C22semidirect
103. #5211C22semidirect
104. C4×#217C22semidirect
105. C4×#217C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4994C22semidirect
109. #4994C22semidirect
110. #4992C22semidirect
111. #4992C22semidirect
112. #4990C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
115. #4990C22semidirect
116. #4987C22semidirect
117. #4987C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4955C22semidirect
151. #4955C22semidirect
152. #4955C22semidirect
153. #4955C22semidirect
154. #4955C22semidirect
155. #4955C22semidirect
156. #4951C22semidirect
157. #4951C22semidirect
158. #4951C22semidirect
159. #4951C22semidirect
160. #4950C22semidirect
161. #4950C22semidirect
162. #4950C22semidirect
163. #4950C22semidirect
164. #4949C22semidirect
165. #4948C22semidirect
166. #4948C22semidirect
167. #4947C22semidirect
168. #4946C22semidirect
169. #4946C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4677C22semidirect
175. #4675C22semidirect
176. #4675C22semidirect
177. #4674C22semidirect
178. #4674C22semidirect
179. #4673C22semidirect
180. #4670C22semidirect
181. #4670C22semidirect
182. #4670C22semidirect
183. #4670C22semidirect
184. #4669C22semidirect
185. #4669C22semidirect
186. #4668C22semidirect
187. #4668C22semidirect
188. #4666C22semidirect
189. #4664C22semidirect
213. #2405D3semidirect
264. C23×Dic3C23semidirect
265. C23×Dic3C23semidirect
270. C22×Dic6C23semidirect
273. C2×C3×C4⋊C4C23semidirect
274. C2×C3×C4⋊C4C23semidirect
275. C2×C3×C4⋊C4C23semidirect
276. C2×C3×C4⋊C4C23semidirect
288. C2×C3×C22⋊C4C23semidirect
289. C2×C3×C22⋊C4C23semidirect
290. C2×C3×C22⋊C4C23semidirect
291. C2×C3×C22⋊C4C23semidirect
292. C2×C3×C22⋊C4C23semidirect
293. C2×C3×C22⋊C4C23semidirect
294. C2×C3×C22⋊C4C23semidirect
295. C2×C3×C22⋊C4C23semidirect
313. C2×#217C23semidirect
314. C2×#217C23semidirect
315. C2×#217C23semidirect
316. C2×#217C23semidirect
317. C2×#217C23semidirect
318. C2×#217C23semidirect
372. C2×C4⋊Dic3C23semidirect
373. C2×C4⋊Dic3C23semidirect
374. C2×C4⋊Dic3C23semidirect
375. C2×C4⋊Dic3C23semidirect
376. C2×C4⋊Dic3C23semidirect
377. C2×C4⋊Dic3C23semidirect
378. C2×C4⋊Dic3C23semidirect
379. C2×C4⋊Dic3C23semidirect
380. C2×C4⋊Dic3C23semidirect
381. C2×Dic3⋊C4C23semidirect
382. C2×Dic3⋊C4C23semidirect
383. C2×Dic3⋊C4C23semidirect
384. C2×Dic3⋊C4C23semidirect
385. C2×Dic3⋊C4C23semidirect
386. C2×Dic3⋊C4C23semidirect
387. C2×C4×Dic3C23semidirect
388. C2×C4×Dic3C23semidirect
389. C2×C4×Dic3C23semidirect
390. C2×C4×Dic3C23semidirect
391. C2×C4×Dic3C23semidirect
392. C2×C4×Dic3C23semidirect
413. C3×#95C23semidirect
414. C3×#95C23semidirect
415. C3×#95C23semidirect
416. C3×#95C23semidirect
417. C3⋊#95C23semidirect
418. C3⋊#95C23semidirect
419. C3⋊#95C23semidirect
420. C3⋊#95C23semidirect
421. C3⋊#95C23semidirect
422. C3⋊#95C23semidirect
423. C3⋊#95C23semidirect
424. C3⋊#95C23semidirect
425. C3⋊#95C23semidirect
426. C3⋊#95C23semidirect
427. C3⋊#95C23semidirect
428. C3⋊#95C23semidirect
429. C3⋊#95C23semidirect
430. C3⋊#95C23semidirect
431. C3⋊#95C23semidirect
432. C3⋊#95C23semidirect
433. C3⋊#95C23semidirect
434. C3⋊#95C23semidirect
448. C2×#123C2×D3semidirect
449. C2×#123C2×D3semidirect
510. #394C2×D3semidirect
511. #394C2×D3semidirect
512. #394C2×D3semidirect
513. #394C2×D3semidirect
548. #386C2×D3semidirect
549. #386C2×D3semidirect
558. #385C2×D3semidirect
559. #385C2×D3semidirect
585. #379C2×D3semidirect
586. #379C2×D3semidirect
958. C2×C4⋊C4C22×D3semidirect
959. C2×C4⋊C4C22×D3semidirect
960. C2×C4⋊C4C22×D3semidirect
961. C2×C4⋊C4C22×D3semidirect
1044. C2×C22⋊C4C22×D3semidirect
1045. C2×C22⋊C4C22×D3semidirect
1046. C2×C22⋊C4C22×D3semidirect
1047. C2×C22⋊C4C22×D3semidirect
1048. C2×C22⋊C4C22×D3semidirect
1049. C2×C22⋊C4C22×D3semidirect
1050. C2×C22⋊C4C22×D3semidirect
1051. C2×C22⋊C4C22×D3semidirect
1076. #95C22×D3semidirect
1077. #95C22×D3semidirect
1078. #95C22×D3semidirect
1079. #95C22×D3semidirect
1603. C22×C3#551semidirect
1966. C22#5658semidirect
1996. C3#59006semidirect

Maximal subgroups

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

subgroupindex
C22×#9372
C2×#56582
C3×#24052
D4×#2172
#829002
#828952
#828942
C2×#49552
#820972
#771462
#771442
#771432
#771402
#771192
#771122
#771092
#769252
#748912
#748902
#748792
#747272
#745952
#744532
#744522
#744132
#738532
#738502
D3×#3792
#738282
#738272
#738232
#590063