Finite Group Databasebeta

← #25269285

Subgroups — #25269285

Order 11008.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D43C211yesmaximal, characteristic, complemented
2#19142907C211yesmaximal, characteristic, complemented
3#19142900C211yesmaximal, characteristic, complemented
4#19142884C211yesmaximal, characteristic, complemented
5#19142879C211yesmaximal, characteristic, complemented
6#19140513C211yesmaximal, characteristic, complemented
7#19140492C211yesmaximal, characteristic, complemented
8#19140464C211yesmaximal, characteristic, complemented
9#19140434C211yesmaximal, characteristic, complemented
10#19138837C211yesmaximal, characteristic, complemented
11#19138732C211yesmaximal, characteristic, complemented
12#19138627C211yesmaximal, characteristic, complemented
13#19138588C211yesmaximal, characteristic, complemented
14#19138543C211yesmaximal, characteristic, complemented
15#19138474C211yesmaximal, characteristic, complemented
16#19138401C211yesmaximal, characteristic, complemented
17#19138400C211yesmaximal, characteristic, complemented
18#19138326C211yesmaximal, characteristic, complemented
19#19138258C211yesmaximal, characteristic, complemented
20#19138142C211yesmaximal, characteristic, complemented
21#19138068C211yesmaximal, characteristic, complemented
22#19138054C211yesmaximal, characteristic, complemented
23#19137987C211yesmaximal, characteristic, complemented
24#19137966C211yesmaximal, characteristic
25#19137919C211yesmaximal, characteristic, complemented
26#19137293C211yesmaximal, characteristic, complemented
27#19137264C211yesmaximal, characteristic, complemented
28#19137228C211yesmaximal, characteristic, complemented
29C4×#13063293C211yesmaximal, characteristic, complemented
30C2×#14582770C211yesmaximal, characteristic, complemented
31C2×C43×#539C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C2×#13063308C2211yescharacteristic
36C2×#13063306C2211yescharacteristic, complemented
37C2×#13063301C2211yescharacteristic
38C2×#13063301C2211yescharacteristic, complemented
39C2×#13063297C2211yescharacteristic
40C2×#13063293C2211yescharacteristic
41C2×#13063293C2211yescharacteristic
42C2×C4×D172C2211yescharacteristic
43C2×D4×Dic43C2211yescharacteristic
44C2×#13063287C2211yescharacteristic
45C2×C4×C22⋊D43C2211yescharacteristic
46C2×C4×C22⋊D43C2211yescharacteristic
47C2×C4×C22⋊D43C2211yescharacteristic
48C2×C4×C22⋊D43C2211yescharacteristic, complemented
49C2×(C22⋊D43)⋊C4C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C4×D4×D43—28no—
52C22×Dic43⋊C4C2211yescharacteristic, complemented
53C2×C4⋊C4×D43C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55C22×(C2×D43)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D43C2211yescharacteristic
57C2×C22⋊C4×D43C2211yescharacteristic
58C2×C42×D43C2211yescharacteristic
59#14582838C2211yescharacteristic, complemented
60#14582835C2211yescharacteristic, complemented
61#14582834C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic, complemented
63#14582832C2211yescharacteristic, complemented
64#14582830C2211yescharacteristic, complemented
65#14582829C2211yescharacteristic, complemented
66#14582829C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic, complemented
69#14582827C2211yescharacteristic, complemented
70#14582825C2211yescharacteristic, complemented
71#14582825C2211yescharacteristic, complemented
72#14582825C2211yescharacteristic, complemented
73#14582822C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582821C2211yescharacteristic, complemented
76#14582821C2211yescharacteristic, complemented
77#14582818C2211yescharacteristic, complemented
78#14582816C2211yescharacteristic
79#14582816C2211yescharacteristic
80#14582816C2211yescharacteristic
81#14582815C2211yescharacteristic, complemented
82#14582815C2211yescharacteristic, complemented
83#14582815C2211yescharacteristic, complemented
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582814C2211yescharacteristic
87#14582813C2211yescharacteristic, complemented
88#14582810C2211yescharacteristic, complemented
89#14582808C2211yescharacteristic
90#14582807C2211yescharacteristic
91#14582795C2211yescharacteristic, complemented
92#14582795C2211yescharacteristic, complemented
93#14582794C2211yescharacteristic, complemented
94#14582794C2211yescharacteristic, complemented
95#14582792C2211yescharacteristic, complemented
96#14582792C2211yescharacteristic, complemented
97#14582790C2211yescharacteristic, complemented
98#14582789C2211yescharacteristic, complemented
99#14582789C2211yescharacteristic, complemented
100#14582787C2211yescharacteristic, complemented
101#14582787C2211yescharacteristic, complemented
102#14582787C2211yescharacteristic, complemented
103#14582785C2211yescharacteristic, complemented
104#14582785C2211yescharacteristic, complemented
105#14582783C2211yescharacteristic, complemented
106#14582780C2211yescharacteristic, complemented
107#14582780C2211yescharacteristic, complemented
108#14582780C2211yescharacteristic, complemented
109#14582780C2211yescharacteristic, complemented
110#14582780C2211yescharacteristic, complemented
111#14582780C2211yescharacteristic, complemented
112#14582780C2211yescharacteristic, complemented
113#14582779C2211yescharacteristic
114#14582779C2211yescharacteristic
115#14582779C2211yescharacteristic, complemented
116#14582779C2211yescharacteristic, complemented
117#14582778C2211yescharacteristic
118#14582778C2211yescharacteristic, complemented
119#14582776C2211yescharacteristic
120#14582775C2211yescharacteristic
121#14582775C2211yescharacteristic
122#14582775C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic, complemented
125#14582775C2211yescharacteristic, complemented
126#14582775C2211yescharacteristic, complemented
127#14582774C2211yescharacteristic, complemented
128#14582774C2211yescharacteristic, complemented
129#14582772C2211yescharacteristic, complemented
130#14582772C2211yescharacteristic, complemented
131#14582771C2211yescharacteristic, complemented
132#14582771C2211yescharacteristic, complemented
133#14582771C2211yescharacteristic, complemented
134#14582770C2211yescharacteristic
135#14582770C2211yescharacteristic
136#14582770C2211yescharacteristic
137#14582770C2211yescharacteristic
138#14582770C2211yescharacteristic
139#14582770C2211yescharacteristic
140#14582770C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic
143#14582770C2211yescharacteristic
144#14582770C2211yescharacteristic, complemented
145#14582770C2211yescharacteristic, complemented
146#14582770C2211yescharacteristic, complemented
147#14582770C2211yescharacteristic, complemented
148#14582770C2211yescharacteristic, complemented
149#14582770C2211yescharacteristic, complemented
150#14582770C2211yescharacteristic, complemented
151#14582770C2211yescharacteristic, complemented
152#14582770C2211yescharacteristic, complemented
153#14582767C2211yescharacteristic, complemented
154#14582765C2211yescharacteristic, complemented
155#14582762C2211yescharacteristic, complemented
156#14582762C2211yescharacteristic, complemented
157#14582760C2211yescharacteristic, complemented
158#14582759C2211yescharacteristic, complemented
159#14582757C2211yescharacteristic, complemented
160#14582756C2211yescharacteristic
161#14582756C2211yescharacteristic
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic, complemented
164#14582754C2211yescharacteristic
165#14582754C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic43C2211yescharacteristic, complemented
171C2×C43⋊#95C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C43×#539—28no—
174C2×#126×C43C2211yescharacteristic, complemented
175C2×#126×C43C2211yescharacteristic, complemented
176C2×#125×C43C2211yescharacteristic, complemented
177C2×#125×C43C2211yescharacteristic, complemented
178C2×#123×C43C2211yescharacteristic
179C2×#123×C43C2211yescharacteristic, complemented
180C2×#123×C43C2211yescharacteristic, complemented
181C2×#123×C43C2211yescharacteristic, complemented
182C2×C22⋊Q8×C43C2211yescharacteristic, complemented
183C2×C22⋊Q8×C43C2211yescharacteristic, complemented
184C2×C22⋊Q8×C43C2211yescharacteristic, complemented
185C2×#121×C43C2211yescharacteristic
186C2×C4×D4×C43C2211yescharacteristic
187C2×C4×D4×C43C2211yescharacteristic, complemented
188C22×C4⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C2×D4×D43—24no—
198C2×D4×D43—24no—
199C2×D4×D43—24no—
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C22×C4×D43—24no—
205C22×C4×D43—24no—
206C22×C4×D43—42no—
207C22×C4×D43—42no—
208C22×C4×D43—42no—
209C22×C4×D43—42no—
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219#13063308—24no—
220#13063306—42no—
221#13063301—42no—
222#13063301—42no—
223#13063297—24no—
224#13063293—24no—
225#13063293—42no—
226C4×D172—24no—
227D4×Dic43—24no—
228#13063287—24no—
229C4×C22⋊D43—24no—
230C4×C22⋊D43—24no—
231C4×C22⋊D43—42no—
232C4×C22⋊D43—42no—
233(C22⋊D43)⋊C4—24no—
234(C22⋊D43)⋊C4—24no—
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×Dic43⋊C4—42no—
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C4⋊C4×D43—24no—
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×(C2×D43)⋊C4—24no—
271C2×(C2×D43)⋊C4—42no—
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C22⋊C4×D43—24no—
298C22⋊C4×D43—24no—
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C42×D43—24no—
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C22×Q8×C43C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C23×C4×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350#126×C43—24no—
351#126×C43—24no—
352#125×C43—24no—
353#125×C43—24no—
354#123×C43—24no—
355#123×C43—24no—
356#123×C43—24no—
357#123×C43—24no—
358C22⋊Q8×C43—24no—
359C22⋊Q8×C43—24no—
360C22⋊Q8×C43—24no—
361#121×C43—24no—
362C4×D4×C43—24no—
363C4×D4×C43D418yescomplemented
364C2×C4⋊C4×C43—24no—
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C4⋊C4×C43C2311yescharacteristic
375C2×C4⋊C4×C43C2311yescharacteristic
376C2×C4⋊C4×C43C2311yescharacteristic
377C2×C4⋊C4×C43C2311yescharacteristic
378C2×C4⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—22no—
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43#4114yes—
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C2×Q8×C43—22no—
412C2×Q8×C43—41no—
413C2×Q8×C43—41no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—22no—
417C2×D4×C43—22no—
418C2×D4×C43—22no—
419C2×D4×C43—22no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43C2×D414yes—
423C22×C4×C43—22no—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43C2×D414yes—
437C22×C4×C43C2×D414yes—
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43#4114yes—
465C22×Dic43—22no—
466C22×Dic43—22no—
467C22×Dic43—22no—
468C22×Dic43—22no—
469C22×Dic43—22no—
470C22×Dic43—22no—
471C22×Dic43—41no—
472C22×Dic43—41no—
473C22×Dic43—41no—
474C22×Dic43—41no—
475C22×Dic43—41no—
476C22×Dic43—41no—
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2411yescharacteristic
490D4×D43—232no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—416no—
522C2×C4×D43—416no—
523C4⋊C4×C43—22no—
524C4⋊C4×C43—22no—
525C4⋊C4×C43—22no—
526C4⋊C4×C43—22no—
527C4⋊C4×C43—22no—
528C4⋊C4×C43—22no—
529C4⋊C4×C43—22no—
530C4⋊C4×C43—22no—
531C4⋊C4×C43—22no—
532C4⋊C4×C43—22no—
533C4⋊C4×C43—22no—
534C4⋊C4×C43—22no—
535C4⋊C4×C43—22no—
536C4⋊C4×C43C2×D414yes—
537C22⋊C4×C43—22no—
538C22⋊C4×C43—22no—
539C22⋊C4×C43—22no—
540C22⋊C4×C43—22no—
541C22⋊C4×C43—22no—
542C22⋊C4×C43—22no—
543C22⋊C4×C43—22no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43C2×D414yes—
546C22⋊C4×C43C2×D414yes—
547C42×C43—22no—
548C42×C43C2×D414yes—
549C22⋊Dic43—22no—
550C22⋊Dic43—22no—
551C22⋊Dic43—22no—
552C22⋊Dic43—22no—
553C22⋊Dic43—22no—
554C22⋊Dic43—22no—
555C22⋊Dic43—41no—
556C22⋊Dic43—41no—
557C22⋊Dic43—41no—
558C22⋊Dic43—41no—
559C22⋊Dic43—41no—
560C22⋊Dic43—41no—
561C22⋊Dic43—41no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—22no—
564(C2×D43)⋊C4—22no—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—41no—
580(C2×D43)⋊C4—41no—
581(C2×D43)⋊C4—41no—
582(C2×D43)⋊C4—41no—
583(C2×D43)⋊C4—41no—
584(C2×D43)⋊C4—41no—
585(C2×D43)⋊C4—41no—
586(C2×D43)⋊C4—41no—
587C4⋊Dic43—22no—
588C4⋊Dic43—41no—
589C4⋊Dic43—41no—
590C4⋊Dic43—41no—
591C4⋊Dic43—41no—
592Dic43⋊C4—22no—
593Dic43⋊C4—22no—
594Dic43⋊C4—22no—
595Dic43⋊C4—22no—
596Dic43⋊C4—22no—
597Dic43⋊C4—22no—
598Dic43⋊C4—22no—
599Dic43⋊C4—22no—
600Dic43⋊C4—41no—
601Dic43⋊C4—41no—
602Dic43⋊C4—41no—
603Dic43⋊C4—41no—
604Dic43⋊C4—41no—
605Dic43⋊C4—41no—
606Dic43⋊C4—41no—
607C4×Dic43—22no—
608C4×Dic43—22no—
609C4×Dic43—22no—
610C4×Dic43—41no—
611C4×Dic43—41no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43C22×D412yes—
630C23×C43C22×D412yes—
631C23×C43C2×#4112yes—
632C23×C43C2×#4112yes—
633C23×C43C2511yescharacteristic
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—28no—
639C22×D43—28no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—28no—
653C22×D43—44no—
654C22×D43—44no—
655C22×D43—44no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43—44no—
659C22×D43—44no—
660C22×D43—44no—
661C22×D43—44no—
662C22×D43—44no—
663C22×D43—44no—
664C22×D43C2×#4112yes—
665C22×D43C2×#4112yes—
666C22×D43C2×#4112yes—
667C22×D43H(5,𝔽2)12yes—
668C22×D432−1+412yes—
669Q8×C43—82no—
670D4×C43—28no—
671D4×C43—44no—
672D4×C43—82no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—44no—
705C2×C4×C43—44no—
706C2×C4×C43—44no—
707C2×C4×C43—82no—
708C2×C4×C43—82no—
709C2×C4×C43C22×D412yes—
710C2×C4×C43C22×D412yes—
711C2×C4×C43C22×D412yes—
712C2×C4×C43C22×D412yes—
713C2×C4×C43C22×D412yes—
714C22⋊D43—28no—
715C22⋊D43—28no—
716C22⋊D43—44no—
717C22⋊D43—44no—
718C22⋊D43—82no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—44no—
757C2×Dic43—44no—
758C2×Dic43—44no—
759C2×Dic43—82no—
760C2×Dic43C2×#4112yes—
761C2×Dic43H(5,𝔽2)12yes—
762D172—28no—
763C4×D43—28no—
764C4×D43—28no—
765C4×D43—44no—
766C4×D43—44no—
767C4×D43—44no—
768C4×D43—44no—
769C4×D43—44no—
770C4×D43—44no—
771C4×D43—44no—
772#34991—431nomaximal, Sylow
773C22×C43—22no—
774C22×C43—22no—
775C22×C43—22no—
776C22×C43—22no—
777C22×C43—22no—
778C22×C43—22no—
779C22×C43—22no—
780C22×C43—22no—
781C22×C43—22no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43#52514yes—
794C22×C43C23×D411yescharacteristic
795C22×C43C22×#4111yescharacteristic
796C22×C43C22×#4111yescharacteristic
797C22×C43C2×H(5,𝔽2)11yescharacteristic
798C22×C43C2×H(5,𝔽2)11yescharacteristic
799C22×C43C2×2−1+411yescharacteristic
800C22×C43#58511yescharacteristic
801C2×D43—22no—
802C2×D43—22no—
803C2×D43—22no—
804C2×D43—22no—
805C2×D43—22no—
806C2×D43—22no—
807C2×D43—22no—
808C2×D43—22no—
809C2×D43—22no—
810C2×D43—22no—
811C2×D43—22no—
812C2×D43—22no—
813C2×D43—416no—
814C2×D43—416no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43#53914yescomplemented
824C4×C43—22no—
825C4×C43—22no—
826C4×C43—22no—
827C4×C43—22no—
828C4×C43—22no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836Dic43—22no—
837Dic43—22no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849C2×#539D4311yescharacteristic, complemented
850C22×C4×D4—431no—
851#2852—431no—
852#2851—431no—
853#2849—431no—
854#2848—431no—
855#2638—431no—
856#2636—431no—
857#2633—431no—
858#2630—431no—
859#2480—431no—
860#2473—431no—
861#2466—431no—
862#2463—431no—
863#2460—431no—
864#2455—431no—
865#2449—431no—
866#2449—431no—
867#2443—431no—
868#2437—431no—
869#2425—431no—
870#2419—431no—
871#2418—431no—
872#2412—431no—
873#2410—431no—
874#2405—431no—
875#2325—431no—
876#2322—431no—
877#2318—431no—
878C4×#120—431no—
879C2×#385—431no—
880C2×C43—24no—
881C2×C43—42no—
882C2×C43—81no—
883C2×C43C2×#52511yescharacteristic
884C2×C43C2×#53911yescharacteristic
885C2×C43#345911yescharacteristic
886C2×C43#348411yescharacteristic
887C2×C43#348911yescharacteristic
888C2×C43#351311yescharacteristic
889C2×C43#352011yescharacteristic
890D43—24no—
891D43—42no—
892D43—42no—
893C23×D4—431no—
894C24×C4—431no—
895C24×C4—431no—
896#539—28no—
897C2×#126C2×D4311yescharacteristic, complemented
898C2×#126C2×D4311yescharacteristic, complemented
899C2×#125C2×D4311yescharacteristic, complemented
900C2×#125C2×D4311yescharacteristic, complemented
901C2×#123—431no—
902C2×#123—431no—
903C2×#123C2×D4311yescharacteristic
904C2×#123C2×D4311yescharacteristic, complemented
905C2×#123C2×D4311yescharacteristic, complemented
906C2×#123C2×D4311yescharacteristic, complemented
907C2×C22⋊Q8—431no—
908C2×C22⋊Q8—431no—
909C2×C22⋊Q8C2×D4311yescharacteristic, complemented
910C2×C22⋊Q8C2×D4311yescharacteristic, complemented
911C2×C22⋊Q8C2×D4311yescharacteristic, complemented
912C2×#121—431no—
913C2×#121C2×D4311yescharacteristic
914C2×#120—431no—
915C2×#120—431no—
916C2×C4×D4—431no—
917C2×C4×D4—431no—
918C2×C4×D4—431no—
919C2×C4×D4—431no—
920C2×C4×D4—431no—
921C2×C4×D4—431no—
922C2×C4×D4—431no—
923C2×C4×D4—431no—
924C2×C4×D4—431no—
925C2×C4×D4—868no—
926C2×C4×D4C2×D4311yescharacteristic
927C2×C4×D4C2×D4311yescharacteristic, complemented
928C22×C4⋊C4—431no—
929C22×C4⋊C4—431no—
930C22×C4⋊C4C2×D4311yescharacteristic, complemented
931C22×C22⋊C4—431no—
932C22×C22⋊C4—431no—
933C22×C22⋊C4—431no—
934C22×C22⋊C4—431no—
935C22×C42—431no—
936#400—431no—
937#399—431no—
938#399—431no—
939#399—431no—
940#398—431no—
941#398—431no—
942#398—431no—
943#398—431no—
944#397—431no—
945#397—431no—
946#397—431no—
947#397—431no—
948#397—431no—
949#397—431no—
950#396—431no—
951#396—431no—
952#396—431no—
953#396—431no—
954#395—431no—
955#394—431no—
956#394—431no—
957#394—431no—
958#394—431no—
959#394—431no—
960#394—431no—
961#394—431no—
962#394—431no—
963#394—431no—
964#394—431no—
965#393—431no—
966#392—431no—
967#392—431no—
968#389—431no—
969#389—431no—
970#389—431no—
971#389—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#387—431no—
981#387—431no—
982#387—431no—
983#387—431no—
984#387—431no—
985#387—431no—
986#387—431no—
987#387—431no—
988#387—431no—
989#387—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386—431no—
1000#386—431no—
1001#386—431no—
1002#386—431no—
1003#386—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385—431no—
1008#385—431no—
1009#385—431no—
1010#385—431no—
1011#385—431no—
1012#385—431no—
1013#385—431no—
1014#385—431no—
1015#385—431no—
1016#385—431no—
1017#385—431no—
1018#385—431no—
1019#385—431no—
1020#385—431no—
1021#385—431no—
1022#385—431no—
1023#385—431no—
1024#385—431no—
1025#385—431no—
1026#385—431no—
1027#385—431no—
1028#385—431no—
1029#385—431no—
1030#383—431no—
1031#382—431no—
1032#381—431no—
1033#381—431no—
1034#381—431no—
1035#380—431no—
1036#380—431no—
1037#380—431no—
1038#380—431no—
1039#380—431no—
1040#380—431no—
1041#379—431no—
1042#379—431no—
1043#379—431no—
1044#379—431no—
1045C4×C22⋊C4—431no—
1046C4×C22⋊C4—431no—
1047C4×C22⋊C4—431no—
1048C2×#95—431no—
1049C2×#95—431no—
1050C43#3499111yescharacteristic, complemented, Sylow
1051C25—431no—
1052C25—431no—
1053C22×Q8C22×D4311yescharacteristic
1054C22×D4—431no—
1055C22×D4—431no—
1056C22×D4—431no—
1057C22×D4—431no—
1058C22×D4—431no—
1059C22×D4—431no—
1060C22×D4—864no—
1061C22×D4—864no—
1062C22×D4—864no—
1063C22×D4C22×D4311yescharacteristic
1064C22×D4C22×D4311yescharacteristic
1065C22×D4C22×D4311yescharacteristic
1066C23×C4—431no—
1067C23×C4—431no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—431no—
1071C23×C4—431no—
1072C23×C4—431no—
1073C23×C4—431no—
1074C23×C4—431no—
1075C23×C4—431no—
1076C23×C4—431no—
1077C23×C4—431no—
1078C23×C4—431no—
1079C23×C4—864no—
1080C23×C4—864no—
1081C23×C4—1722no—
1082C23×C4—1722no—
1083C23×C4—1722no—
1084C23×C4—1722no—
1085C23×C4C22×D4311yescharacteristic
1086C23×C4C22×D4311yescharacteristic
1087C23×C4C22×D4311yescharacteristic
1088C23×C4C22×D4311yescharacteristic
1089C23×C4C22×D4311yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—864no—
1099#123—1722no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—1722no—
1104C22⋊Q8—1722no—
1105#121—24no—
1106#121—864no—
1107#120—864no—
1108#120—1722no—
1109C4×D4—24no—
1110C4×D4—864no—
1111C4×D4—864no—
1112C4×D4—864no—
1113C4×D4—864no—
1114C4×D4—864no—
1115C4×D4—864no—
1116C4×D4—864no—
1117C4×D4—1722no—
1118C4×D4—1722no—
1119C4×D4C22⋊D4318yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—431no—
1122C2×C4⋊C4—431no—
1123C2×C4⋊C4—431no—
1124C2×C4⋊C4—431no—
1125C2×C4⋊C4—431no—
1126C2×C4⋊C4—431no—
1127C2×C4⋊C4—431no—
1128C2×C4⋊C4—431no—
1129C2×C4⋊C4—431no—
1130C2×C4⋊C4—431no—
1131C2×C4⋊C4—431no—
1132C2×C4⋊C4—431no—
1133C2×C4⋊C4—431no—
1134C2×C4⋊C4—431no—
1135C2×C4⋊C4—431no—
1136C2×C4⋊C4—431no—
1137C2×C4⋊C4—431no—
1138C2×C4⋊C4—431no—
1139C2×C4⋊C4—431no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—864no—
1142C2×C4⋊C4—1722no—
1143C2×C4⋊C4C22×D4311yescharacteristic
1144C2×C4⋊C4C22×D4311yescharacteristic
1145C2×C4⋊C4C22×D4311yescharacteristic
1146C2×C4⋊C4C22×D4311yescharacteristic
1147C2×C4⋊C4C22×D4311yescharacteristic
1148C2×C4⋊C4C22×D4311yescharacteristic
1149C2×C4⋊C4C22×D4311yescharacteristic
1150C2×C4⋊C4C22×D4311yescharacteristic
1151C2×C4⋊C4C22×D4311yescharacteristic
1152C2×C4⋊C4C22×D4311yescharacteristic
1153C2×C4⋊C4C22×D4311yescharacteristic
1154C2×C4⋊C4C22×D4311yescharacteristic
1155C2×C4⋊C4C22×D4311yescharacteristic
1156C2×C4⋊C4C22×D4311yescharacteristic
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—864no—
1196C2×C22⋊C4—864no—
1197C2×C22⋊C4—864no—
1198C2×C22⋊C4—1722no—
1199C2×C22⋊C4C22×D4311yescharacteristic
1200C2×C22⋊C4C22×D4311yescharacteristic
1201C2×C22⋊C4C22×D4311yescharacteristic
1202C2×C22⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4C22×D4311yescharacteristic
1205C2×C22⋊C4C22×D4311yescharacteristic
1206C2×C22⋊C4C22×D4311yescharacteristic
1207C2×C22⋊C4C22×D4311yescharacteristic
1208C2×C22⋊C4C22×D4311yescharacteristic
1209C2×C42—431no—
1210C2×C42—431no—
1211C2×C42—431no—
1212C2×C42—431no—
1213C2×C42—431no—
1214C2×C42—864no—
1215C2×C42C22×D4311yescharacteristic
1216C2×C42C22×D4311yescharacteristic
1217#95—431no—
1218#95—431no—
1219#95—431no—
1220#95—431no—
1221#95—431no—
1222#95—431no—
1223#95—431no—
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95—431no—
1245#95—431no—
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253C24—431no—
1254C24—431no—
1255C24—431no—
1256C24—434no—
1257C24—862no—
1258C24—862no—
1259C24—862no—
1260C24—862no—
1261C24—862no—
1262C24—862no—
1263C24—862no—
1264C24—862no—
1265C24—862no—
1266C24—1721no—
1267C24—1721no—
1268C24—1721no—
1269C24—1721no—
1270C24C23×D4311yescharacteristic
1271C24C23×D4311yescharacteristic
1272C24C23×D4311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—434no—
1285C2×D4—862no—
1286C2×D4—862no—
1287C2×D4—862no—
1288C2×D4—8632no—
1289C2×D4—862no—
1290C2×D4—862no—
1291C2×D4—862no—
1292C2×D4—862no—
1293C2×D4—862no—
1294C2×D4—862no—
1295C2×D4—862no—
1296C2×D4—862no—
1297C2×D4—862no—
1298C2×D4—862no—
1299C2×D4—1721no—
1300C2×D4—1721no—
1301C2×D4—1721no—
1302C2×D4—1721no—
1303C2×D4C2×C22⋊D4314yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—862no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—862no—
1334C22×C4—862no—
1335C22×C4—862no—
1336C22×C4—862no—
1337C22×C4—862no—
1338C22×C4—862no—
1339C22×C4—862no—
1340C22×C4—862no—
1341C22×C4—862no—
1342C22×C4—862no—
1343C22×C4—862no—
1344C22×C4—862no—
1345C22×C4—862no—
1346C22×C4—862no—
1347C22×C4—862no—
1348C22×C4—862no—
1349C22×C4—862no—
1350C22×C4—862no—
1351C22×C4—862no—
1352C22×C4—862no—
1353C22×C4—862no—
1354C22×C4—1721no—
1355C22×C4—1721no—
1356C22×C4—1721no—
1357C22×C4—1721no—
1358C22×C4—1721no—
1359C22×C4—1721no—
1360C22×C4—1721no—
1361C22×C4—1721no—
1362C22×C4—1721no—
1363C22×C4—17216no—
1364C22×C4—17216no—
1365C22×C4—1721no—
1366C22×C4—1721no—
1367C22×C4—1721no—
1368C22×C4—1721no—
1369C22×C4—1721no—
1370C22×C4—1721no—
1371C22×C4C2×C22⋊D4314yes—
1372C22×C4C2×C22⋊D4314yes—
1373C22×C4C23×D4311yescharacteristic
1374C22×C4C23×D4311yescharacteristic
1375C22×C4C23×D4311yescharacteristic
1376C22×C4C23×D4311yescharacteristic
1377C22×C4C23×D4311yescharacteristic
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381C22×C4C23×D4311yescharacteristic
1382C22×C4C23×D4311yescharacteristic
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—862no—
1399C4⋊C4—862no—
1400C4⋊C4—862no—
1401C4⋊C4—862no—
1402C4⋊C4—862no—
1403C4⋊C4—862no—
1404C4⋊C4—862no—
1405C4⋊C4—862no—
1406C4⋊C4—862no—
1407C4⋊C4—1721no—
1408C4⋊C4—1721no—
1409C4⋊C4—1721no—
1410C4⋊C4—1721no—
1411C4⋊C4—1721no—
1412C4⋊C4—1721no—
1413C4⋊C4—1721no—
1414C4⋊C4—1721no—
1415C4⋊C4—1721no—
1416C4⋊C4—1721no—
1417C4⋊C4—1721no—
1418C4⋊C4C2×C22⋊D4314yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—862no—
1428C22⋊C4—862no—
1429C22⋊C4—862no—
1430C22⋊C4—862no—
1431C22⋊C4—862no—
1432C22⋊C4—862no—
1433C22⋊C4—862no—
1434C22⋊C4—862no—
1435C22⋊C4—862no—
1436C22⋊C4—862no—
1437C22⋊C4—862no—
1438C22⋊C4—862no—
1439C22⋊C4—862no—
1440C22⋊C4—862no—
1441C22⋊C4—862no—
1442C22⋊C4—862no—
1443C22⋊C4—862no—
1444C22⋊C4—862no—
1445C22⋊C4—862no—
1446C22⋊C4—862no—
1447C22⋊C4—862no—
1448C22⋊C4—862no—
1449C22⋊C4—862no—
1450C22⋊C4—1721no—
1451C22⋊C4—1721no—
1452C22⋊C4—1721no—
1453C22⋊C4—1721no—
1454C22⋊C4—1721no—
1455C22⋊C4—1721no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4—1721no—
1459C22⋊C4—1721no—
1460C22⋊C4—1721no—
1461C22⋊C4—1721no—
1462C22⋊C4—1721no—
1463C22⋊C4—1721no—
1464C22⋊C4—1721no—
1465C22⋊C4C2×C22⋊D4314yes—
1466C22⋊C4C2×C22⋊D4314yes—
1467C42—22no—
1468C42—862no—
1469C42—862no—
1470C42—862no—
1471C42—1721no—
1472C42—1721no—
1473C42C2×C22⋊D4314yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—432no—
1492C23—432no—
1493C23—432no—
1494C23—432no—
1495C23—432no—
1496C23—868no—
1497C23—868no—
1498C23—861no—
1499C23—861no—
1500C23—861no—
1501C23—861no—
1502C23—868no—
1503C23—861no—
1504C23—861no—
1505C23—861no—
1506C23—861no—
1507C23—861no—
1508C23—861no—
1509C23—861no—
1510C23—861no—
1511C23—861no—
1512C23—861no—
1513C23—861no—
1514C23—861no—
1515C23—1724no—
1516C23—1724no—
1517C23—1724no—
1518C23—1724no—
1519C23—1724no—
1520C23—1724no—
1521C23—1724no—
1522C23—1724no—
1523C23—1724no—
1524C23—1724no—
1525C23—1724no—
1526C23C22×C22⋊D4312yes—
1527C23C22×C22⋊D4312yes—
1528C23#41×D4312yes—
1529C23#41×D4312yes—
1530C23C24×D4311yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—44no—
1534D4—82no—
1535D4—868no—
1536D4—868no—
1537D4—868no—
1538D4—3442no—
1539D4—1724no—
1540D4—1724no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—432no—
1578C2×C4—432no—
1579C2×C4—868no—
1580C2×C4—868no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—3442no—
1619C2×C4—1724no—
1620C2×C4—1724no—
1621C2×C4—1724no—
1622C2×C4—1724no—
1623C2×C4—1724no—
1624C2×C4—1724no—
1625C2×C4—1724no—
1626C2×C4—1724no—
1627C2×C4—1724no—
1628C2×C4—1724no—
1629C2×C4C22×C22⋊D4312yes—
1630C2×C4C22×C22⋊D4312yes—
1631C2×C4C22×C22⋊D4312yes—
1632C2×C4C22×C22⋊D4312yes—
1633C2×C4C22×C22⋊D4312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—434no—
1655C22—862no—
1656C22—862no—
1657C22—862no—
1658C22—862no—
1659C22—862no—
1660C22—862no—
1661C22—862no—
1662C22—862no—
1663C22—862no—
1664C22—862no—
1665C22—862no—
1666C22—862no—
1667C22—17216no—
1668C22—17216no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—1721no—
1677C22#1458340614yes—
1678C22C23×C22⋊D4311yescharacteristic
1679C22C2×#41×D4311yescharacteristic
1680C22C2×#41×D4311yescharacteristic
1681C22H(5,𝔽2)×D4311yescharacteristic
1682C22H(5,𝔽2)×D4311yescharacteristic
1683C222−1+4×D4311yescharacteristic
1684C22#1458373611yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—862no—
1698C4—862no—
1699C4—1721no—
1700C4—1721no—
1701C4—1721no—
1702C4—1721no—
1703C4—1721no—
1704C4—1721no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—864no—
1714C2—1722no—
1715C2—1722no—
1716C2C2×#1458340611yescharacteristic
1717C2#539×D4311yescharacteristic
1718C2#1914800311yescharacteristic
1719C2#1914822611yescharacteristic
1720C2#1914826811yescharacteristic
1721C2#1914852511yescharacteristic
1722C2#1914863611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#539C2
prime radical#19137966C2
hypercenterC2×#539D43
hypocenterC43#34991
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D43C2semidirect
2. #19142907C2semidirect
3. #19142900C2semidirect
4. #19142884C2semidirect
5. #19142879C2semidirect
6. #19140513C2semidirect
7. #19140492C2semidirect
8. #19140464C2semidirect
9. #19140434C2semidirect
10. #19138837C2semidirect
11. #19138732C2semidirect
12. #19138627C2semidirect
13. #19138588C2semidirect
14. #19138543C2semidirect
15. #19138474C2semidirect
16. #19138401C2semidirect
17. #19138400C2semidirect
18. #19138326C2semidirect
19. #19138258C2semidirect
20. #19138142C2semidirect
21. #19138068C2semidirect
22. #19138054C2semidirect
23. #19137987C2semidirect
25. #19137919C2semidirect
26. #19137293C2semidirect
27. #19137264C2semidirect
28. #19137228C2semidirect
29. C4×#13063293C2semidirect
30. C2×#14582770C2semidirect
31. C2×C43×#539C2semidirect
36. C2×#13063306C22semidirect
38. C2×#13063301C22semidirect
48. C2×C4×C22⋊D43C22semidirect
52. C22×Dic43⋊C4C22semidirect
59. #14582838C22semidirect
60. #14582835C22semidirect
61. #14582834C22semidirect
62. #14582834C22semidirect
63. #14582832C22semidirect
64. #14582830C22semidirect
65. #14582829C22semidirect
66. #14582829C22semidirect
67. #14582827C22semidirect
68. #14582827C22semidirect
69. #14582827C22semidirect
70. #14582825C22semidirect
71. #14582825C22semidirect
72. #14582825C22semidirect
73. #14582822C22semidirect
74. #14582821C22semidirect
75. #14582821C22semidirect
76. #14582821C22semidirect
77. #14582818C22semidirect
81. #14582815C22semidirect
82. #14582815C22semidirect
83. #14582815C22semidirect
87. #14582813C22semidirect
88. #14582810C22semidirect
91. #14582795C22semidirect
92. #14582795C22semidirect
93. #14582794C22semidirect
94. #14582794C22semidirect
95. #14582792C22semidirect
96. #14582792C22semidirect
97. #14582790C22semidirect
98. #14582789C22semidirect
99. #14582789C22semidirect
100. #14582787C22semidirect
101. #14582787C22semidirect
102. #14582787C22semidirect
103. #14582785C22semidirect
104. #14582785C22semidirect
105. #14582783C22semidirect
106. #14582780C22semidirect
107. #14582780C22semidirect
108. #14582780C22semidirect
109. #14582780C22semidirect
110. #14582780C22semidirect
111. #14582780C22semidirect
112. #14582780C22semidirect
115. #14582779C22semidirect
116. #14582779C22semidirect
118. #14582778C22semidirect
124. #14582775C22semidirect
125. #14582775C22semidirect
126. #14582775C22semidirect
127. #14582774C22semidirect
128. #14582774C22semidirect
129. #14582772C22semidirect
130. #14582772C22semidirect
131. #14582771C22semidirect
132. #14582771C22semidirect
133. #14582771C22semidirect
144. #14582770C22semidirect
145. #14582770C22semidirect
146. #14582770C22semidirect
147. #14582770C22semidirect
148. #14582770C22semidirect
149. #14582770C22semidirect
150. #14582770C22semidirect
151. #14582770C22semidirect
152. #14582770C22semidirect
153. #14582767C22semidirect
154. #14582765C22semidirect
155. #14582762C22semidirect
156. #14582762C22semidirect
157. #14582760C22semidirect
158. #14582759C22semidirect
159. #14582757C22semidirect
163. #14582756C22semidirect
169. C4×(C2×D43)⋊C4C22semidirect
170. C4×C22⋊Dic43C22semidirect
171. C2×C43⋊#95C22semidirect
172. C2×C43⋊#95C22semidirect
174. C2×#126×C43C22semidirect
175. C2×#126×C43C22semidirect
176. C2×#125×C43C22semidirect
177. C2×#125×C43C22semidirect
179. C2×#123×C43C22semidirect
180. C2×#123×C43C22semidirect
181. C2×#123×C43C22semidirect
182. C2×C22⋊Q8×C43C22semidirect
183. C2×C22⋊Q8×C43C22semidirect
184. C2×C22⋊Q8×C43C22semidirect
187. C2×C4×D4×C43C22semidirect
188. C22×C4⋊C4×C43C22semidirect
363. C4×D4×C43D4semidirect
823. C2×D43#539semidirect
849. C2×#539D43semidirect
897. C2×#126C2×D43semidirect
898. C2×#126C2×D43semidirect
899. C2×#125C2×D43semidirect
900. C2×#125C2×D43semidirect
904. C2×#123C2×D43semidirect
905. C2×#123C2×D43semidirect
906. C2×#123C2×D43semidirect
909. C2×C22⋊Q8C2×D43semidirect
910. C2×C22⋊Q8C2×D43semidirect
911. C2×C22⋊Q8C2×D43semidirect
927. C2×C4×D4C2×D43semidirect
930. C22×C4⋊C4C2×D43semidirect
1050. C43#34991semidirect
1119. C4×D4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D432
#191429072
#191429002
#191428842
#191428792
#191405132
#191404922
#191404642
#191404342
#191388372
#191387322
#191386272
#191385882
#191385432
#191384742
#191384012
#191384002
#191383262
#191382582
#191381422
#191380682
#191380542
#191379872
#191379662
#191379192
#191372932
#191372642
#191372282
C4×#130632932
C2×#145827702
C2×C43×#5392
#3499143