Finite Group Databasebeta

← #25269258

Subgroups — #25269258

Order 11008.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583487C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D43C211yesmaximal, characteristic, complemented
3#19142908C211yesmaximal, characteristic, complemented
4#19142892C211yesmaximal, characteristic, complemented
5#19142886C211yesmaximal, characteristic, complemented
6#19142876C211yesmaximal, characteristic, complemented
7#19140496C211yesmaximal, characteristic, complemented
8#19140483C211yesmaximal, characteristic, complemented
9#19140451C211yesmaximal, characteristic, complemented
10#19140438C211yesmaximal, characteristic, complemented
11#19138858C211yesmaximal, characteristic, complemented
12#19138723C211yesmaximal, characteristic, complemented
13#19138648C211yesmaximal, characteristic, complemented
14#19138534C211yesmaximal, characteristic, complemented
15#19138489C211yesmaximal, characteristic, complemented
16#19138489C211yesmaximal, characteristic, complemented
17#19138419C211yesmaximal, characteristic, complemented
18#19138345C211yesmaximal, characteristic, complemented
19#19138332C211yesmaximal, characteristic, complemented
20#19138256C211yesmaximal, characteristic, complemented
21#19138133C211yesmaximal, characteristic, complemented
22#19138131C211yesmaximal, characteristic, complemented
23#19138057C211yesmaximal, characteristic, complemented
24#19137969C211yesmaximal, characteristic, complemented
25#19137963C211yesmaximal, characteristic, complemented
26#19137905C211yesmaximal, characteristic, complemented
27#19137298C211yesmaximal, characteristic, complemented
28#19137253C211yesmaximal, characteristic, complemented
29#19137229C211yesmaximal, characteristic, complemented
30C4×#13063294C211yesmaximal, characteristic, complemented
31C2×C43×#386C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic, complemented
34#14583487—28no—
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063318C2211yescharacteristic, complemented
37C2×#13063311C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063307C2211yescharacteristic, complemented
40C2×#13063307C2211yescharacteristic, complemented
41C2×#13063307C2211yescharacteristic, complemented
42C2×#13063304C2211yescharacteristic, complemented
43C2×#13063302C2211yescharacteristic, complemented
44C2×#13063299C2211yescharacteristic
45C2×#13063299C2211yescharacteristic
46C2×#13063298C2211yescharacteristic, complemented
47C2×#13063298C2211yescharacteristic, complemented
48C2×#13063298C2211yescharacteristic, complemented
49C2×#13063297C2211yescharacteristic
50C2×#13063297C2211yescharacteristic
51C2×#13063295C2211yescharacteristic, complemented
52C2×#13063294C2211yescharacteristic
53C2×#13063294C2211yescharacteristic
54C2×#13063294C2211yescharacteristic
55C2×#13063294C2211yescharacteristic, complemented
56C2×#13063293C2211yescharacteristic
57C2×#13063293C2211yescharacteristic
58C2×C4×C22⋊D43—28no—
59C2×C4×C22⋊D43C2211yescharacteristic
60C2×C4×C22⋊D43C2211yescharacteristic
61C2×C4×C22⋊D43C2211yescharacteristic
62C2×C4×C22⋊D43C2211yescharacteristic
63C2×C4×C22⋊D43C2211yescharacteristic, complemented
64C2×C4×C22⋊D43C2211yescharacteristic, complemented
65C2×C4×C22⋊D43C2211yescharacteristic, complemented
66C2×C4×C22⋊D43C2211yescharacteristic, complemented
67C2×C4×C22⋊D43C2211yescharacteristic, complemented
68C2×C4×C22⋊D43C2211yescharacteristic, complemented
69C2×C4×C22⋊D43C2211yescharacteristic, complemented
70C22×Dic43⋊C4C2211yescharacteristic, complemented
71C22×C22⋊Dic43C2211yescharacteristic
72C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
73C22×C4×Dic43C2211yescharacteristic, complemented
74#14582841C2211yescharacteristic, complemented
75#14582840C2211yescharacteristic, complemented
76#14582835C2211yescharacteristic, complemented
77#14582835C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582827C2211yescharacteristic, complemented
82#14582823C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582822C2211yescharacteristic, complemented
85#14582822C2211yescharacteristic, complemented
86#14582817C2211yescharacteristic, complemented
87#14582815C2211yescharacteristic, complemented
88#14582815C2211yescharacteristic, complemented
89#14582815C2211yescharacteristic, complemented
90#14582814C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic, complemented
92#14582814C2211yescharacteristic, complemented
93#14582813C2211yescharacteristic, complemented
94#14582813C2211yescharacteristic, complemented
95#14582812C2211yescharacteristic, complemented
96#14582811C2211yescharacteristic, complemented
97#14582808C2211yescharacteristic, complemented
98#14582808C2211yescharacteristic, complemented
99#14582808C2211yescharacteristic, complemented
100#14582807C2211yescharacteristic
101#14582807C2211yescharacteristic
102#14582807C2211yescharacteristic
103#14582807C2211yescharacteristic
104#14582807C2211yescharacteristic, complemented
105#14582807C2211yescharacteristic, complemented
106#14582803C2211yescharacteristic, complemented
107#14582799C2211yescharacteristic, complemented
108#14582799C2211yescharacteristic, complemented
109#14582799C2211yescharacteristic, complemented
110#14582793C2211yescharacteristic, complemented
111#14582793C2211yescharacteristic, complemented
112#14582793C2211yescharacteristic, complemented
113#14582792C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic, complemented
115#14582791C2211yescharacteristic, complemented
116#14582791C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic, complemented
118#14582788C2211yescharacteristic, complemented
119#14582788C2211yescharacteristic, complemented
120#14582787C2211yescharacteristic, complemented
121#14582787C2211yescharacteristic, complemented
122#14582786C2211yescharacteristic, complemented
123#14582784C2211yescharacteristic, complemented
124#14582784C2211yescharacteristic, complemented
125#14582781C2211yescharacteristic, complemented
126#14582781C2211yescharacteristic, complemented
127#14582781C2211yescharacteristic, complemented
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic
132#14582778C2211yescharacteristic
133#14582778C2211yescharacteristic
134#14582778C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic, complemented
137#14582778C2211yescharacteristic, complemented
138#14582778C2211yescharacteristic, complemented
139#14582778C2211yescharacteristic, complemented
140#14582777C2211yescharacteristic, complemented
141#14582777C2211yescharacteristic, complemented
142#14582777C2211yescharacteristic, complemented
143#14582776C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic, complemented
145#14582775C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic, complemented
147#14582775C2211yescharacteristic, complemented
148#14582774C2211yescharacteristic, complemented
149#14582774C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582772C2211yescharacteristic, complemented
157#14582772C2211yescharacteristic, complemented
158#14582772C2211yescharacteristic, complemented
159#14582771C2211yescharacteristic, complemented
160#14582766C2211yescharacteristic, complemented
161#14582763C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic, complemented
163#14582761C2211yescharacteristic, complemented
164#14582759C2211yescharacteristic, complemented
165#14582758C2211yescharacteristic, complemented
166#14582758C2211yescharacteristic, complemented
167#14582757C2211yescharacteristic, complemented
168#14582755C2211yescharacteristic
169#14582755C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171C4×C22⋊Dic43C2211yescharacteristic, complemented
172C4×C22⋊Dic43C2211yescharacteristic, complemented
173C4×C22⋊Dic43C2211yescharacteristic, complemented
174C23×D4×C43C2211yescharacteristic
175C24×C4×C43C2211yescharacteristic
176C22×C22⋊C4×C43C2211yescharacteristic
177C22×C22⋊C4×C43C2211yescharacteristic, complemented
178C22×C22⋊C4×C43C2211yescharacteristic, complemented
179C43×#386C2211yescharacteristic
180C43×#386C2211yescharacteristic
181C43×#386C2211yescharacteristic
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic, complemented
187C2×#95×C43C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43—24no—
194C22×C22⋊D43—24no—
195C22×C22⋊D43—24no—
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C22×C4×D43—24no—
213C22×C4×D43—42no—
214C22×C4×D43—42no—
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220#13063318—24no—
221#13063318—24no—
222#13063311—24no—
223#13063311—24no—
224#13063307—24no—
225#13063307—24no—
226#13063307—42no—
227#13063304—24no—
228#13063302—42no—
229#13063299—24no—
230#13063299—24no—
231#13063298—24no—
232#13063298—24no—
233#13063298—42no—
234#13063297—42no—
235#13063297—42no—
236#13063295—42no—
237#13063294—24no—
238#13063294—24no—
239#13063294—24no—
240#13063294—24no—
241#13063293—42no—
242#13063293—42no—
243C4×C22⋊D43—24no—
244C4×C22⋊D43—24no—
245C4×C22⋊D43—24no—
246C4×C22⋊D43—24no—
247C4×C22⋊D43—24no—
248C4×C22⋊D43—24no—
249C4×C22⋊D43—24no—
250C4×C22⋊D43—24no—
251C4×C22⋊D43—42no—
252C4×C22⋊D43—42no—
253C4×C22⋊D43D418yescomplemented
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×Dic43⋊C4—24no—
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×C22⋊Dic43—24no—
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
297C2×C22⋊Dic43C2311yescharacteristic
298C2×C22⋊Dic43C2311yescharacteristic
299C2×(C2×D43)⋊C4—24no—
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×C4×Dic43—24no—
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C25×C43C2311yescharacteristic
354C25×C43C2311yescharacteristic
355C22×D4×C43—24no—
356C22×D4×C43—42no—
357C22×D4×C43—42no—
358C22×D4×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C23×C4×C43—24no—
363C23×C4×C43—42no—
364C23×C4×C43—42no—
365C23×C4×C43C2311yescharacteristic
366C23×C4×C43C2311yescharacteristic
367C23×C4×C43C2311yescharacteristic
368C23×C4×C43C2311yescharacteristic
369C23×C4×C43C2311yescharacteristic
370C23×C4×C43C2311yescharacteristic
371C23×C4×C43C2311yescharacteristic
372C23×C4×C43C2311yescharacteristic
373C23×C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43—24no—
375C2×C22⋊C4×C43—42no—
376C2×C22⋊C4×C43—42no—
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊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
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—22no—
400C24×C43—22no—
401C24×C43—22no—
402C24×C43—22no—
403C24×C43—22no—
404C24×C43—41no—
405C24×C43—41no—
406C24×C43—41no—
407C24×C43—41no—
408C24×C43—41no—
409C24×C43—41no—
410C24×C43#4114yes—
411C24×C43C2411yescharacteristic
412C24×C43C2411yescharacteristic
413C24×C43C2411yescharacteristic
414C24×C43C2411yescharacteristic
415C24×C43C2411yescharacteristic
416C23×D43—22no—
417C23×D43—22no—
418C23×D43—22no—
419C23×D43—22no—
420C23×D43—22no—
421C23×D43—41no—
422C23×D43—41no—
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—41no—
435C2×D4×C43—41no—
436C2×D4×C43—41no—
437C2×D4×C43—41no—
438C2×D4×C43—416no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—22no—
442C22×C4×C43—22no—
443C22×C4×C43—22no—
444C22×C4×C43—22no—
445C22×C4×C43—22no—
446C22×C4×C43—22no—
447C22×C4×C43—22no—
448C22×C4×C43—22no—
449C22×C4×C43—22no—
450C22×C4×C43—22no—
451C22×C4×C43—22no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43—41no—
462C22×C4×C43—41no—
463C22×C4×C43—41no—
464C22×C4×C43—41no—
465C22×C4×C43—416no—
466C22×C4×C43C2×D414yes—
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C2×C22⋊D43—232no—
478C2×C22⋊D43—22no—
479C2×C22⋊D43—22no—
480C2×C22⋊D43—22no—
481C2×C22⋊D43—22no—
482C2×C22⋊D43—22no—
483C2×C22⋊D43—22no—
484C2×C22⋊D43—22no—
485C2×C22⋊D43—22no—
486C2×C22⋊D43—22no—
487C2×C22⋊D43—22no—
488C2×C22⋊D43—22no—
489C2×C22⋊D43—22no—
490C2×C22⋊D43—22no—
491C2×C22⋊D43—22no—
492C2×C22⋊D43—22no—
493C2×C22⋊D43—22no—
494C2×C22⋊D43—22no—
495C2×C22⋊D43—22no—
496C2×C22⋊D43—22no—
497C2×C22⋊D43—22no—
498C2×C22⋊D43—22no—
499C2×C22⋊D43—22no—
500C2×C22⋊D43—22no—
501C2×C22⋊D43—41no—
502C2×C22⋊D43—41no—
503C2×C22⋊D43—41no—
504C2×C22⋊D43—41no—
505C2×C22⋊D43—41no—
506C2×C22⋊D43—41no—
507C2×C22⋊D43—41no—
508C2×C22⋊D43—41no—
509C2×C22⋊D43—41no—
510C2×C22⋊D43—41no—
511C2×C22⋊D43—41no—
512C2×C22⋊D43—41no—
513C2×C22⋊D43—41no—
514C2×C22⋊D43—41no—
515C2×C22⋊D43C2×D414yes—
516C2×C22⋊D43#4114yes—
517C22×Dic43—22no—
518C22×Dic43—22no—
519C22×Dic43—22no—
520C22×Dic43—22no—
521C22×Dic43—22no—
522C22×Dic43—22no—
523C22×Dic43—22no—
524C22×Dic43—41no—
525C22×Dic43—41no—
526C22×Dic43C2411yescharacteristic
527C22×Dic43C2411yescharacteristic
528C22×Dic43C2411yescharacteristic
529C22×Dic43C2411yescharacteristic
530C22×Dic43C2411yescharacteristic
531C22×Dic43C2411yescharacteristic
532C22×Dic43C2411yescharacteristic
533C22×Dic43C2411yescharacteristic
534C22×Dic43C2411yescharacteristic
535C22×Dic43C2411yescharacteristic
536C22×Dic43C2411yescharacteristic
537C22×Dic43C2411yescharacteristic
538C22×Dic43C2411yescharacteristic
539C2×D172—22no—
540C2×D172—22no—
541C2×D172—41no—
542C2×D172—41no—
543C2×D172—41no—
544C2×D172—41no—
545C2×C4×D43—22no—
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—22no—
549C2×C4×D43—22no—
550C2×C4×D43—22no—
551C2×C4×D43—41no—
552C2×C4×D43—41no—
553C2×C4×D43—41no—
554C2×C4×D43—41no—
555C2×C4×D43—41no—
556C2×C4×D43—41no—
557C2×C4×D43—41no—
558C2×C4×D43—41no—
559C2×C4×D43—416no—
560C2×C4×D43C2×D414yescomplemented
561C2×Dic86—22no—
562C2×Dic86—41no—
563C2×Dic86—41no—
564C22⋊C4×C43—22no—
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—22no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—41no—
573C22⋊C4×C43—41no—
574C22⋊C4×C43—41no—
575C22⋊C4×C43—41no—
576C22⋊Dic43—22no—
577C22⋊Dic43—22no—
578C22⋊Dic43—22no—
579C22⋊Dic43—22no—
580C22⋊Dic43—22no—
581C22⋊Dic43—22no—
582C22⋊Dic43—22no—
583C22⋊Dic43—22no—
584C22⋊Dic43—22no—
585C22⋊Dic43—22no—
586C22⋊Dic43—22no—
587C22⋊Dic43—22no—
588C22⋊Dic43—22no—
589C22⋊Dic43—22no—
590C22⋊Dic43—22no—
591C22⋊Dic43—22no—
592C22⋊Dic43—41no—
593C22⋊Dic43—41no—
594C22⋊Dic43—41no—
595C22⋊Dic43—41no—
596C22⋊Dic43—41no—
597C22⋊Dic43—41no—
598C22⋊Dic43C2×D414yes—
599(C2×D43)⋊C4—22no—
600(C2×D43)⋊C4—22no—
601(C2×D43)⋊C4—22no—
602(C2×D43)⋊C4—22no—
603(C2×D43)⋊C4—22no—
604(C2×D43)⋊C4—22no—
605(C2×D43)⋊C4—22no—
606(C2×D43)⋊C4—22no—
607(C2×D43)⋊C4—22no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612(C2×D43)⋊C4—41no—
613(C2×D43)⋊C4—41no—
614(C2×D43)⋊C4—41no—
615(C2×D43)⋊C4—41no—
616(C2×D43)⋊C4—41no—
617(C2×D43)⋊C4—41no—
618(C2×D43)⋊C4—41no—
619(C2×D43)⋊C4C2×D414yescomplemented
620C4⋊Dic43—22no—
621C4⋊Dic43—22no—
622C4⋊Dic43—22no—
623C4⋊Dic43—41no—
624C4⋊Dic43—41no—
625Dic43⋊C4—22no—
626Dic43⋊C4—22no—
627Dic43⋊C4—22no—
628Dic43⋊C4—22no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—22no—
632Dic43⋊C4—41no—
633Dic43⋊C4—41no—
634Dic43⋊C4—41no—
635Dic43⋊C4—41no—
636Dic43⋊C4—41no—
637Dic43⋊C4—41no—
638Dic43⋊C4—41no—
639Dic43⋊C4C2×D414yescomplemented
640C4×Dic43—22no—
641C4×Dic43—22no—
642C4×Dic43—22no—
643C4×Dic43—22no—
644C4×Dic43—41no—
645C4×Dic43—41no—
646C4×Dic43C2×D414yescomplemented
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—28no—
656C23×C43—28no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—44no—
678C23×C43—44no—
679C23×C43—44no—
680C23×C43—44no—
681C23×C43—44no—
682C23×C43—44no—
683C23×C43—44no—
684C23×C43—44no—
685C23×C43—82no—
686C23×C43—82no—
687C23×C43—82no—
688C23×C43—82no—
689C23×C43C22×D412yes—
690C23×C43C2×#4112yes—
691C23×C43C2×#4112yes—
692C23×C43C2×#4112yes—
693C23×C43C2×#4112yes—
694C23×C43H(5,𝔽2)12yes—
695C23×C43H(5,𝔽2)12yes—
696C23×C43C2511yescharacteristic
697C22×D43—28no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—21no—
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—21no—
713C22×D43—21no—
714C22×D43—21no—
715C22×D43—21no—
716C22×D43—21no—
717C22×D43—44no—
718C22×D43—44no—
719C22×D43—44no—
720C22×D43—44no—
721C22×D43—44no—
722C22×D43—44no—
723C22×D43C22×D412yes—
724C22×D43C2×#4112yes—
725D4×C43—44no—
726D4×C43—44no—
727D4×C43—44no—
728D4×C43—44no—
729C2×C4×C43—28no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—44no—
758C2×C4×C43—44no—
759C2×C4×C43—44no—
760C2×C4×C43—44no—
761C2×C4×C43—44no—
762C2×C4×C43—44no—
763C2×C4×C43—82no—
764C2×C4×C43—82no—
765C2×C4×C43C22×D412yes—
766C2×C4×C43C22×D412yes—
767C2×C4×C43H(5,𝔽2)12yes—
768C22⋊D43—28no—
769C22⋊D43—28no—
770C22⋊D43—28no—
771C22⋊D43—28no—
772C22⋊D43—44no—
773C22⋊D43—44no—
774C22⋊D43—44no—
775C22⋊D43—82no—
776C22⋊D43—82no—
777C22⋊D43—82no—
778C22⋊D43—82no—
779C22⋊D43—82no—
780C22⋊D43—82no—
781C2×Dic43—28no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—21no—
811C2×Dic43—21no—
812C2×Dic43—21no—
813C2×Dic43—21no—
814C2×Dic43—21no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—44no—
818C2×Dic43—44no—
819C2×Dic43C22×D412yes—
820C2×Dic43C22×D412yes—
821C2×Dic43C22×D412yes—
822C2×Dic43C2×#4112yes—
823D172—82no—
824D172—82no—
825C4×D43—44no—
826C4×D43—44no—
827C4×D43—44no—
828C4×D43—44no—
829C4×D43—82no—
830Dic86—82no—
831#34990—431nomaximal, Sylow
832C22×C43—22no—
833C22×C43—22no—
834C22×C43—22no—
835C22×C43—22no—
836C22×C43—22no—
837C22×C43—22no—
838C22×C43—22no—
839C22×C43—22no—
840C22×C43—22no—
841C22×C43—22no—
842C22×C43—22no—
843C22×C43—22no—
844C22×C43—22no—
845C22×C43—22no—
846C22×C43—22no—
847C22×C43—416no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43—41no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—88no—
867C22×C43#52514yes—
868C22×C43#53814yescomplemented
869C22×C43C23×D411yescharacteristic
870C22×C43C22×#4111yescharacteristic
871C22×C43C22×#4111yescharacteristic
872C22×C43C2×H(5,𝔽2)11yescharacteristic
873C22×C43C2×H(5,𝔽2)11yescharacteristic
874C22×C43C2×H(5,𝔽2)11yescharacteristic
875C22×C43#58511yescharacteristic
876C2×D43—22no—
877C2×D43—22no—
878C2×D43—22no—
879C2×D43—22no—
880C2×D43—22no—
881C2×D43—22no—
882C2×D43—416no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—22no—
901C4×C43—41no—
902C4×C43—41no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908Dic43—22no—
909Dic43—22no—
910Dic43—22no—
911Dic43—22no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921C2×#538—431no—
922C22×C4×D4—431no—
923#2852—431no—
924#2850—431no—
925#2849—431no—
926#2847—431no—
927#2636—431no—
928#2635—431no—
929#2631—431no—
930#2630—431no—
931#2481—431no—
932#2472—431no—
933#2467—431no—
934#2459—431no—
935#2456—431no—
936#2456—431no—
937#2450—431no—
938#2444—431no—
939#2443—431no—
940#2437—431no—
941#2424—431no—
942#2424—431no—
943#2418—431no—
944#2410—431no—
945#2410—431no—
946#2403—431no—
947#2325—431no—
948#2321—431no—
949#2318—431no—
950C4×#120—431no—
951C2×#386D4311yescharacteristic, complemented
952C2×C43—24no—
953C2×C43—24no—
954C2×C43—42no—
955C2×C43—81no—
956C2×C43—81no—
957C2×C43C2×#52511yescharacteristic
958C2×C43C2×#53811yescharacteristic
959C2×C43#345911yescharacteristic
960C2×C43#348411yescharacteristic
961C2×C43#348811yescharacteristic
962C2×C43#351311yescharacteristic
963C2×C43#351911yescharacteristic
964D43—42no—
965D43—42no—
966D43—81no—
967C23×D4—431no—
968C23×D4C2×D4311yescharacteristic
969C24×C4—431no—
970C24×C4C2×D4311yescharacteristic
971#538—868no—
972C2×#126—431no—
973C2×#126—431no—
974C2×#124—431no—
975C2×#124—431no—
976C2×#123—431no—
977C2×#123—431no—
978C2×#123—431no—
979C2×C22⋊Q8—431no—
980C2×C22⋊Q8—431no—
981C2×#121—431no—
982C2×#121—431no—
983C2×#121—431no—
984C2×#121—431no—
985C2×#121—431no—
986C2×#121—431no—
987C2×#121—431no—
988C2×#120—431no—
989C2×#120—431no—
990C2×#120—431no—
991C2×#120—431no—
992C2×#120—431no—
993C2×#120—431no—
994C2×#120—431no—
995C2×C4×D4—431no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C2×C4×D4—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003C2×C4×D4—431no—
1004C2×C4×D4—431no—
1005C2×C4×D4—431no—
1006C2×C4×D4—868no—
1007C22×C4⋊C4—431no—
1008C22×C22⋊C4—431no—
1009C22×C22⋊C4—431no—
1010C22×C22⋊C4C2×D4311yescharacteristic
1011C22×C22⋊C4C2×D4311yescharacteristic, complemented
1012C22×C22⋊C4C2×D4311yescharacteristic, complemented
1013C22×C42—431no—
1014#400—431no—
1015#400—431no—
1016#399—431no—
1017#399—431no—
1018#398—431no—
1019#397—431no—
1020#397—431no—
1021#397—431no—
1022#396—431no—
1023#396—431no—
1024#396—431no—
1025#396—431no—
1026#394—431no—
1027#394—431no—
1028#394—431no—
1029#394—431no—
1030#394—431no—
1031#394—431no—
1032#394—431no—
1033#394—431no—
1034#394—431no—
1035#393—431no—
1036#393—431no—
1037#392—431no—
1038#392—431no—
1039#392—431no—
1040#392—431no—
1041#392—431no—
1042#392—431no—
1043#392—431no—
1044#392—431no—
1045#392—431no—
1046#391—431no—
1047#390—431no—
1048#390—431no—
1049#390—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#388—431no—
1062#387—431no—
1063#387—431no—
1064#387—431no—
1065#387—431no—
1066#387—431no—
1067#387—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#386—431no—
1080#386—431no—
1081#386—431no—
1082#386—431no—
1083#386—431no—
1084#386—431no—
1085#386—431no—
1086#386—431no—
1087#386—431no—
1088#386C2×D4311yescharacteristic
1089#386C2×D4311yescharacteristic
1090#386C2×D4311yescharacteristic
1091#386C2×D4311yescharacteristic
1092#386C2×D4311yescharacteristic, complemented
1093#386C2×D4311yescharacteristic, complemented
1094#386C2×D4311yescharacteristic, complemented
1095#386C2×D4311yescharacteristic, complemented
1096#385—431no—
1097#385—431no—
1098#385—431no—
1099#385—431no—
1100#385—431no—
1101#385—431no—
1102#385—431no—
1103#385—431no—
1104#385—431no—
1105#385—431no—
1106#385—431no—
1107#385—431no—
1108#383—431no—
1109#382—431no—
1110#381—431no—
1111#381—431no—
1112#380—431no—
1113#380—431no—
1114#380—431no—
1115#380—431no—
1116#379—431no—
1117#379—431no—
1118#379—431no—
1119C4×C22⋊C4—431no—
1120C4×C22⋊C4—431no—
1121C4×C22⋊C4—431no—
1122C2×#95C2×D4311yescharacteristic, complemented
1123C2×#95C2×D4311yescharacteristic, complemented
1124C43#3499011yescharacteristic, complemented, Sylow
1125C25—431no—
1126C25C22×D4311yescharacteristic
1127C25C22×D4311yescharacteristic
1128C22×Q8—431no—
1129C22×D4—24no—
1130C22×D4—42no—
1131C22×D4—42no—
1132C22×D4—431no—
1133C22×D4—431no—
1134C22×D4—431no—
1135C22×D4—431no—
1136C22×D4—431no—
1137C22×D4—431no—
1138C22×D4—431no—
1139C22×D4—431no—
1140C22×D4—431no—
1141C22×D4—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—431no—
1145C22×D4—431no—
1146C22×D4—431no—
1147C22×D4—864no—
1148C22×D4—864no—
1149C22×D4—864no—
1150C22×D4C22×D4311yescharacteristic
1151C22×D4C22×D4311yescharacteristic
1152C22×D4C22×D4311yescharacteristic
1153C22×D4C22×D4311yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—431no—
1158C23×C4—431no—
1159C23×C4—431no—
1160C23×C4—431no—
1161C23×C4—431no—
1162C23×C4—431no—
1163C23×C4—431no—
1164C23×C4—431no—
1165C23×C4—864no—
1166C23×C4—1722no—
1167C23×C4—1722no—
1168C23×C4C22×D4311yescharacteristic
1169C23×C4C22×D4311yescharacteristic
1170C23×C4C22×D4311yescharacteristic
1171C23×C4C22×D4311yescharacteristic
1172C23×C4C22×D4311yescharacteristic
1173C23×C4C22×D4311yescharacteristic
1174C23×C4C22×D4311yescharacteristic
1175C23×C4C22×D4311yescharacteristic
1176C23×C4C22×D4311yescharacteristic
1177#126—864no—
1178#126—864no—
1179#124—864no—
1180#124—864no—
1181#123—864no—
1182#123—864no—
1183#123—1722no—
1184C22⋊Q8—864no—
1185C22⋊Q8—1722no—
1186#121—864no—
1187#121—864no—
1188#121—864no—
1189#121—864no—
1190#121—1722no—
1191#121—1722no—
1192#121—1722no—
1193#120—864no—
1194#120—864no—
1195#120—864no—
1196#120—864no—
1197#120—1722no—
1198#120—1722no—
1199#120—1722no—
1200C4×D4—438no—
1201C4×D4—864no—
1202C4×D4—864no—
1203C4×D4—864no—
1204C4×D4—864no—
1205C4×D4—864no—
1206C4×D4—864no—
1207C4×D4—864no—
1208C4×D4—864no—
1209C4×D4—1722no—
1210C4×D4—1722no—
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—864no—
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—42no—
1234C2×C22⋊C4—42no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—431no—
1256C2×C22⋊C4—431no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—431no—
1260C2×C22⋊C4—431no—
1261C2×C22⋊C4—431no—
1262C2×C22⋊C4—431no—
1263C2×C22⋊C4—431no—
1264C2×C22⋊C4—431no—
1265C2×C22⋊C4—431no—
1266C2×C22⋊C4—431no—
1267C2×C22⋊C4—431no—
1268C2×C22⋊C4—431no—
1269C2×C22⋊C4—431no—
1270C2×C22⋊C4—431no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—431no—
1274C2×C22⋊C4—431no—
1275C2×C22⋊C4—431no—
1276C2×C22⋊C4—431no—
1277C2×C22⋊C4—431no—
1278C2×C22⋊C4—431no—
1279C2×C22⋊C4—864no—
1280C2×C22⋊C4—864no—
1281C2×C22⋊C4C22×D4311yescharacteristic
1282C2×C22⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4C22×D4311yescharacteristic
1285C2×C22⋊C4C22×D4311yescharacteristic
1286C2×C22⋊C4C22×D4311yescharacteristic
1287C2×C22⋊C4C22×D4311yescharacteristic
1288C2×C22⋊C4C22×D4311yescharacteristic
1289C2×C22⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4C22×D4311yescharacteristic
1292C2×C22⋊C4C22×D4311yescharacteristic
1293C2×C42—431no—
1294C2×C42—431no—
1295C2×C42—431no—
1296C2×C42—431no—
1297C2×C42—431no—
1298C2×C42—431no—
1299C2×C42—431no—
1300C2×C42—864no—
1301#95—431no—
1302#95—431no—
1303#95—431no—
1304#95—431no—
1305#95—431no—
1306#95—431no—
1307#95—431no—
1308#95—431no—
1309#95—431no—
1310#95—431no—
1311#95—431no—
1312#95—431no—
1313#95—431no—
1314#95—431no—
1315#95—431no—
1316#95—431no—
1317#95—431no—
1318#95—431no—
1319#95—431no—
1320#95—431no—
1321#95—431no—
1322#95—431no—
1323#95—431no—
1324#95—431no—
1325#95C22×D4311yescharacteristic
1326#95C22×D4311yescharacteristic
1327#95C22×D4311yescharacteristic
1328#95C22×D4311yescharacteristic
1329#95C22×D4311yescharacteristic
1330#95C22×D4311yescharacteristic
1331#95C22×D4311yescharacteristic
1332#95C22×D4311yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—41no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—431no—
1347C24—431no—
1348C24—431no—
1349C24—862no—
1350C24—862no—
1351C24—862no—
1352C24—862no—
1353C24—862no—
1354C24—1721no—
1355C24—1721no—
1356C24#1062189814yes—
1357C24C23×D4311yescharacteristic
1358C24C23×D4311yescharacteristic
1359C24C23×D4311yescharacteristic
1360C24C23×D4311yescharacteristic
1361C24C23×D4311yescharacteristic
1362C2×Q8—862no—
1363C2×Q8—1721no—
1364C2×Q8—1721no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—416no—
1378C2×D4—434no—
1379C2×D4—434no—
1380C2×D4—862no—
1381C2×D4—862no—
1382C2×D4—862no—
1383C2×D4—862no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—862no—
1387C2×D4—862no—
1388C2×D4—8632no—
1389C2×D4—862no—
1390C2×D4—862no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—862no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—862no—
1405C2×D4—862no—
1406C2×D4—1721no—
1407C2×D4—1721no—
1408C2×D4—1721no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4—1721no—
1418C2×D4—1721no—
1419C2×D4—1721no—
1420C2×D4—1721no—
1421C2×D4—1721no—
1422C2×D4—1721no—
1423C2×D4—1721no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—416no—
1451C22×C4—431no—
1452C22×C4—431no—
1453C22×C4—431no—
1454C22×C4—431no—
1455C22×C4—434no—
1456C22×C4—431no—
1457C22×C4—431no—
1458C22×C4—431no—
1459C22×C4—431no—
1460C22×C4—431no—
1461C22×C4—431no—
1462C22×C4—431no—
1463C22×C4—431no—
1464C22×C4—431no—
1465C22×C4—862no—
1466C22×C4—862no—
1467C22×C4—862no—
1468C22×C4—862no—
1469C22×C4—862no—
1470C22×C4—862no—
1471C22×C4—862no—
1472C22×C4—862no—
1473C22×C4—862no—
1474C22×C4—862no—
1475C22×C4—862no—
1476C22×C4—862no—
1477C22×C4—862no—
1478C22×C4—1721no—
1479C22×C4—1721no—
1480C22×C4—1721no—
1481C22×C4—1721no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—1721no—
1485C22×C4—1721no—
1486C22×C4—17216no—
1487C22×C4—1721no—
1488C22×C4—1721no—
1489C22×C4D4×D4314yes—
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492C22×C4C23×D4311yescharacteristic
1493C22×C4C23×D4311yescharacteristic
1494C22×C4C23×D4311yescharacteristic
1495C22×C4C23×D4311yescharacteristic
1496C22×C4C23×D4311yescharacteristic
1497C22×C4C23×D4311yescharacteristic
1498C22×C4C23×D4311yescharacteristic
1499C22×C4C23×D4311yescharacteristic
1500C4⋊C4—434no—
1501C4⋊C4—862no—
1502C4⋊C4—862no—
1503C4⋊C4—862no—
1504C4⋊C4—862no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—862no—
1511C4⋊C4—1721no—
1512C4⋊C4—1721no—
1513C4⋊C4—1721no—
1514C4⋊C4—1721no—
1515C4⋊C4—1721no—
1516C4⋊C4—1721no—
1517C4⋊C4—1721no—
1518C4⋊C4—1721no—
1519C4⋊C4—1721no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—434no—
1533C22⋊C4—434no—
1534C22⋊C4—862no—
1535C22⋊C4—862no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—862no—
1540C22⋊C4—862no—
1541C22⋊C4—862no—
1542C22⋊C4—862no—
1543C22⋊C4—862no—
1544C22⋊C4—862no—
1545C22⋊C4—862no—
1546C22⋊C4—862no—
1547C22⋊C4—862no—
1548C22⋊C4—862no—
1549C22⋊C4—862no—
1550C22⋊C4—862no—
1551C22⋊C4—862no—
1552C22⋊C4—862no—
1553C22⋊C4—862no—
1554C22⋊C4—862no—
1555C22⋊C4—862no—
1556C22⋊C4—862no—
1557C22⋊C4—862no—
1558C22⋊C4—862no—
1559C22⋊C4—1721no—
1560C22⋊C4—1721no—
1561C22⋊C4—1721no—
1562C22⋊C4—1721no—
1563C22⋊C4—1721no—
1564C22⋊C4—1721no—
1565C22⋊C4—1721no—
1566C22⋊C4—1721no—
1567C22⋊C4—1721no—
1568C22⋊C4—1721no—
1569C22⋊C4—1721no—
1570C22⋊C4—1721no—
1571C22⋊C4—1721no—
1572C22⋊C4—1721no—
1573C22⋊C4—1721no—
1574C22⋊C4—1721no—
1575C22⋊C4—1721no—
1576C42—434no—
1577C42—862no—
1578C42—862no—
1579C42—862no—
1580C42—862no—
1581C42—1721no—
1582C42—1721no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—28no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—82no—
1622C23—82no—
1623C23—82no—
1624C23—82no—
1625C23—432no—
1626C23—432no—
1627C23—868no—
1628C23—861no—
1629C23—861no—
1630C23—861no—
1631C23—861no—
1632C23—861no—
1633C23—861no—
1634C23—861no—
1635C23—861no—
1636C23—861no—
1637C23—861no—
1638C23—861no—
1639C23—861no—
1640C23—861no—
1641C23—861no—
1642C23—861no—
1643C23—861no—
1644C23—861no—
1645C23—861no—
1646C23—861no—
1647C23—1724no—
1648C23—1724no—
1649C23—1724no—
1650C23—1724no—
1651C23—1724no—
1652C23—1724no—
1653C23C2×D4×D4312yes—
1654C23#41×D4312yes—
1655C23C2×#1062189812yes—
1656C23C2×#1062189812yes—
1657C23C2×#1062189812yes—
1658C23#1306337012yes—
1659C23#1306337012yes—
1660C23C24×D4311yescharacteristic
1661Q8—3442no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—868no—
1667D4—868no—
1668D4—868no—
1669D4—868no—
1670D4—3442no—
1671D4—3442no—
1672D4—3442no—
1673D4—3442no—
1674D4—3442no—
1675D4—3442no—
1676D4—3442no—
1677D4—3442no—
1678D4—1724no—
1679D4—1724no—
1680D4—1724no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—82no—
1716C2×C4—82no—
1717C2×C4—432no—
1718C2×C4—432no—
1719C2×C4—432no—
1720C2×C4—432no—
1721C2×C4—868no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—861no—
1757C2×C4—3442no—
1758C2×C4—1724no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4—1724no—
1762C2×C4—1724no—
1763C2×C4—1724no—
1764C2×C4C2×D4×D4312yes—
1765C2×C4C2×D4×D4312yes—
1766C2×C4#1306337012yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—88no—
1802C22—862no—
1803C22—862no—
1804C22—862no—
1805C22—862no—
1806C22—862no—
1807C22—862no—
1808C22—17216no—
1809C22—1721no—
1810C22—1721no—
1811C22—1721no—
1812C22—1721no—
1813C22—1721no—
1814C22—1721no—
1815C22—1721no—
1816C22—1721no—
1817C22—1721no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22#1458340814yes—
1825C22#1458348714yescomplemented
1826C22C22×D4×D4311yescharacteristic
1827C22C2×#41×D4311yescharacteristic
1828C22C22×#1062189811yescharacteristic
1829C22C2×#1306337011yescharacteristic
1830C22C2×#1306337011yescharacteristic
1831C22C2×#1306337011yescharacteristic
1832C22#1458373511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—862no—
1844C4—862no—
1845C4—862no—
1846C4—862no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4—1721no—
1852C4—1721no—
1853C4—1721no—
1854C4—1721no—
1855C4—1721no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—3441no—
1862C2—1722no—
1863C2—1722no—
1864C2C2×#1458340811yescharacteristic
1865C2C2×#1458348711yescharacteristic
1866C2#1914800411yescharacteristic
1867C2#1914822411yescharacteristic
1868C2#1914826011yescharacteristic
1869C2#1914852711yescharacteristic
1870C2#1914862111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#386C2
hypercenterC2×#386D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×#14583487C2semidirect
2. C22×C4×C22⋊D43C2semidirect
3. #19142908C2semidirect
4. #19142892C2semidirect
5. #19142886C2semidirect
6. #19142876C2semidirect
7. #19140496C2semidirect
8. #19140483C2semidirect
9. #19140451C2semidirect
10. #19140438C2semidirect
11. #19138858C2semidirect
12. #19138723C2semidirect
13. #19138648C2semidirect
14. #19138534C2semidirect
15. #19138489C2semidirect
16. #19138489C2semidirect
17. #19138419C2semidirect
18. #19138345C2semidirect
19. #19138332C2semidirect
20. #19138256C2semidirect
21. #19138133C2semidirect
22. #19138131C2semidirect
23. #19138057C2semidirect
24. #19137969C2semidirect
25. #19137963C2semidirect
26. #19137905C2semidirect
27. #19137298C2semidirect
28. #19137253C2semidirect
29. #19137229C2semidirect
30. C4×#13063294C2semidirect
31. C2×C43×#386C2semidirect
33. C23×C4×D43C22semidirect
35. C2×#13063318C22semidirect
36. C2×#13063318C22semidirect
37. C2×#13063311C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063307C22semidirect
40. C2×#13063307C22semidirect
41. C2×#13063307C22semidirect
42. C2×#13063304C22semidirect
43. C2×#13063302C22semidirect
46. C2×#13063298C22semidirect
47. C2×#13063298C22semidirect
48. C2×#13063298C22semidirect
51. C2×#13063295C22semidirect
55. C2×#13063294C22semidirect
63. C2×C4×C22⋊D43C22semidirect
64. C2×C4×C22⋊D43C22semidirect
65. C2×C4×C22⋊D43C22semidirect
66. C2×C4×C22⋊D43C22semidirect
67. C2×C4×C22⋊D43C22semidirect
68. C2×C4×C22⋊D43C22semidirect
69. C2×C4×C22⋊D43C22semidirect
70. C22×Dic43⋊C4C22semidirect
72. C22×(C2×D43)⋊C4C22semidirect
73. C22×C4×Dic43C22semidirect
74. #14582841C22semidirect
75. #14582840C22semidirect
76. #14582835C22semidirect
77. #14582835C22semidirect
78. #14582833C22semidirect
79. #14582828C22semidirect
80. #14582828C22semidirect
81. #14582827C22semidirect
82. #14582823C22semidirect
83. #14582822C22semidirect
84. #14582822C22semidirect
85. #14582822C22semidirect
86. #14582817C22semidirect
87. #14582815C22semidirect
88. #14582815C22semidirect
89. #14582815C22semidirect
90. #14582814C22semidirect
91. #14582814C22semidirect
92. #14582814C22semidirect
93. #14582813C22semidirect
94. #14582813C22semidirect
95. #14582812C22semidirect
96. #14582811C22semidirect
97. #14582808C22semidirect
98. #14582808C22semidirect
99. #14582808C22semidirect
104. #14582807C22semidirect
105. #14582807C22semidirect
106. #14582803C22semidirect
107. #14582799C22semidirect
108. #14582799C22semidirect
109. #14582799C22semidirect
110. #14582793C22semidirect
111. #14582793C22semidirect
112. #14582793C22semidirect
113. #14582792C22semidirect
114. #14582792C22semidirect
115. #14582791C22semidirect
116. #14582791C22semidirect
117. #14582788C22semidirect
118. #14582788C22semidirect
119. #14582788C22semidirect
120. #14582787C22semidirect
121. #14582787C22semidirect
122. #14582786C22semidirect
123. #14582784C22semidirect
124. #14582784C22semidirect
125. #14582781C22semidirect
126. #14582781C22semidirect
127. #14582781C22semidirect
136. #14582778C22semidirect
137. #14582778C22semidirect
138. #14582778C22semidirect
139. #14582778C22semidirect
140. #14582777C22semidirect
141. #14582777C22semidirect
142. #14582777C22semidirect
143. #14582776C22semidirect
144. #14582775C22semidirect
145. #14582775C22semidirect
146. #14582775C22semidirect
147. #14582775C22semidirect
148. #14582774C22semidirect
149. #14582774C22semidirect
150. #14582773C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
153. #14582772C22semidirect
154. #14582772C22semidirect
155. #14582772C22semidirect
156. #14582772C22semidirect
157. #14582772C22semidirect
158. #14582772C22semidirect
159. #14582771C22semidirect
160. #14582766C22semidirect
161. #14582763C22semidirect
162. #14582761C22semidirect
163. #14582761C22semidirect
164. #14582759C22semidirect
165. #14582758C22semidirect
166. #14582758C22semidirect
167. #14582757C22semidirect
169. #14582755C22semidirect
170. #14582754C22semidirect
171. C4×C22⋊Dic43C22semidirect
172. C4×C22⋊Dic43C22semidirect
173. C4×C22⋊Dic43C22semidirect
177. C22×C22⋊C4×C43C22semidirect
178. C22×C22⋊C4×C43C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#386C22semidirect
187. C2×#95×C43C22semidirect
188. C2×#95×C43C22semidirect
253. C4×C22⋊D43D4semidirect
560. C2×C4×D43C2×D4semidirect
619. (C2×D43)⋊C4C2×D4semidirect
639. Dic43⋊C4C2×D4semidirect
646. C4×Dic43C2×D4semidirect
868. C22×C43#538semidirect
951. C2×#386D43semidirect
1011. C22×C22⋊C4C2×D43semidirect
1012. C22×C22⋊C4C2×D43semidirect
1092. #386C2×D43semidirect
1093. #386C2×D43semidirect
1094. #386C2×D43semidirect
1095. #386C2×D43semidirect
1122. C2×#95C2×D43semidirect
1123. C2×#95C2×D43semidirect
1124. C43#34990semidirect
1825. C22#14583487semidirect

Maximal subgroups

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

subgroupindex
C2×#145834872
C22×C4×C22⋊D432
#191429082
#191428922
#191428862
#191428762
#191404962
#191404832
#191404512
#191404382
#191388582
#191387232
#191386482
#191385342
#191384892
#191384192
#191383452
#191383322
#191382562
#191381332
#191381312
#191380572
#191379692
#191379632
#191379052
#191372982
#191372532
#191372292
C4×#130632942
C2×C43×#3862
#3499043