Finite Group Databasebeta

← #25269266

Subgroups — #25269266

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×#14583482C211yesmaximal, characteristic, complemented
2#19142910C211yesmaximal, characteristic, complemented
3#19142896C211yesmaximal, characteristic, complemented
4#19142887C211yesmaximal, characteristic, complemented
5#19142877C211yesmaximal, characteristic, complemented
6#19140490C211yesmaximal, characteristic, complemented
7#19140479C211yesmaximal, characteristic, complemented
8#19140447C211yesmaximal, characteristic, complemented
9#19140432C211yesmaximal, characteristic, complemented
10#19138850C211yesmaximal, characteristic, complemented
11#19138715C211yesmaximal, characteristic, complemented
12#19138640C211yesmaximal, characteristic, complemented
13#19138526C211yesmaximal, characteristic, complemented
14#19138487C211yesmaximal, characteristic, complemented
15#19138481C211yesmaximal, characteristic, complemented
16#19138413C211yesmaximal, characteristic, complemented
17#19138339C211yesmaximal, characteristic, complemented
18#19138330C211yesmaximal, characteristic, complemented
19#19138256C211yesmaximal, characteristic, complemented
20#19138131C211yesmaximal, characteristic, complemented
21#19138125C211yesmaximal, characteristic, complemented
22#19138051C211yesmaximal, characteristic, complemented
23#19137969C211yesmaximal, characteristic, complemented
24#19137963C211yesmaximal, characteristic, complemented
25#19137905C211yesmaximal, characteristic, complemented
26#19137293C211yesmaximal, characteristic, complemented
27#19137249C211yesmaximal, characteristic, complemented
28#19137228C211yesmaximal, characteristic, complemented
29C4×#13063294C211yesmaximal, characteristic, complemented
30C2×#14582778C211yesmaximal, characteristic, complemented
31C22×C4×D4×C43C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33#14583482—28no—
34C2×#13063320C2211yescharacteristic, complemented
35C2×#13063319C2211yescharacteristic, complemented
36C2×#13063313C2211yescharacteristic, complemented
37C2×#13063311C2211yescharacteristic, complemented
38C2×#13063310C2211yescharacteristic, complemented
39C2×#13063308C2211yescharacteristic, complemented
40C2×#13063308C2211yescharacteristic, complemented
41C2×#13063304C2211yescharacteristic, complemented
42C2×#13063302C2211yescharacteristic, complemented
43C2×#13063299C2211yescharacteristic
44C2×#13063299C2211yescharacteristic
45C2×#13063299C2211yescharacteristic, complemented
46C2×#13063299C2211yescharacteristic, complemented
47C2×#13063298C2211yescharacteristic, complemented
48C2×#13063297C2211yescharacteristic
49C2×#13063297C2211yescharacteristic
50C2×#13063295C2211yescharacteristic, complemented
51C2×#13063294C2211yescharacteristic
52C2×#13063294C2211yescharacteristic
53C2×#13063294C2211yescharacteristic
54C2×#13063294C2211yescharacteristic, complemented
55C2×#13063293C2211yescharacteristic
56C2×#13063293C2211yescharacteristic
57C2×C4×C22⋊D43C2211yescharacteristic, complemented
58C2×C4×C22⋊D43C2211yescharacteristic, complemented
59C2×C4×C22⋊D43C2211yescharacteristic, complemented
60C22×C22⋊Dic43C2211yescharacteristic
61C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
62C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
63#14582838C2211yescharacteristic, complemented
64#14582837C2211yescharacteristic, complemented
65#14582835C2211yescharacteristic, complemented
66#14582834C2211yescharacteristic, complemented
67#14582832C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic, complemented
69#14582825C2211yescharacteristic, complemented
70#14582825C2211yescharacteristic, complemented
71#14582822C2211yescharacteristic, complemented
72#14582822C2211yescharacteristic, complemented
73#14582822C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582816C2211yescharacteristic, complemented
76#14582815C2211yescharacteristic, complemented
77#14582815C2211yescharacteristic, complemented
78#14582815C2211yescharacteristic, complemented
79#14582814C2211yescharacteristic, complemented
80#14582814C2211yescharacteristic, complemented
81#14582814C2211yescharacteristic, complemented
82#14582813C2211yescharacteristic, complemented
83#14582813C2211yescharacteristic, complemented
84#14582811C2211yescharacteristic, complemented
85#14582811C2211yescharacteristic, complemented
86#14582808C2211yescharacteristic, complemented
87#14582808C2211yescharacteristic, complemented
88#14582808C2211yescharacteristic, complemented
89#14582807C2211yescharacteristic
90#14582807C2211yescharacteristic
91#14582807C2211yescharacteristic
92#14582807C2211yescharacteristic
93#14582807C2211yescharacteristic, complemented
94#14582807C2211yescharacteristic, complemented
95#14582805C2211yescharacteristic, complemented
96#14582801C2211yescharacteristic, complemented
97#14582799C2211yescharacteristic, complemented
98#14582799C2211yescharacteristic, complemented
99#14582792C2211yescharacteristic, complemented
100#14582792C2211yescharacteristic, complemented
101#14582790C2211yescharacteristic, complemented
102#14582790C2211yescharacteristic, complemented
103#14582790C2211yescharacteristic, complemented
104#14582790C2211yescharacteristic, complemented
105#14582790C2211yescharacteristic, complemented
106#14582790C2211yescharacteristic, complemented
107#14582790C2211yescharacteristic, complemented
108#14582789C2211yescharacteristic, complemented
109#14582789C2211yescharacteristic, complemented
110#14582787C2211yescharacteristic, complemented
111#14582785C2211yescharacteristic, complemented
112#14582785C2211yescharacteristic, complemented
113#14582783C2211yescharacteristic, complemented
114#14582783C2211yescharacteristic, complemented
115#14582783C2211yescharacteristic, complemented
116#14582780C2211yescharacteristic, complemented
117#14582779C2211yescharacteristic
118#14582779C2211yescharacteristic
119#14582779C2211yescharacteristic
120#14582779C2211yescharacteristic
121#14582778C2211yescharacteristic
122#14582778C2211yescharacteristic
123#14582778C2211yescharacteristic
124#14582778C2211yescharacteristic
125#14582778C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic, complemented
130#14582778C2211yescharacteristic, complemented
131#14582778C2211yescharacteristic, complemented
132#14582778C2211yescharacteristic, complemented
133#14582778C2211yescharacteristic, complemented
134#14582778C2211yescharacteristic, complemented
135#14582778C2211yescharacteristic, complemented
136#14582778C2211yescharacteristic, complemented
137#14582778C2211yescharacteristic, complemented
138#14582778C2211yescharacteristic, complemented
139#14582778C2211yescharacteristic, complemented
140#14582778C2211yescharacteristic, complemented
141#14582778C2211yescharacteristic, complemented
142#14582778C2211yescharacteristic, complemented
143#14582776C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic, complemented
145#14582774C2211yescharacteristic, complemented
146#14582774C2211yescharacteristic, complemented
147#14582772C2211yescharacteristic, complemented
148#14582772C2211yescharacteristic, complemented
149#14582772C2211yescharacteristic, complemented
150#14582772C2211yescharacteristic, complemented
151#14582772C2211yescharacteristic, complemented
152#14582772C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582771C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582767C2211yescharacteristic, complemented
158#14582765C2211yescharacteristic, complemented
159#14582762C2211yescharacteristic, complemented
160#14582762C2211yescharacteristic, complemented
161#14582759C2211yescharacteristic, complemented
162#14582759C2211yescharacteristic, complemented
163#14582759C2211yescharacteristic, complemented
164#14582757C2211yescharacteristic, complemented
165#14582755C2211yescharacteristic
166#14582755C2211yescharacteristic, complemented
167#14582754C2211yescharacteristic, complemented
168C4×C22⋊Dic43C2211yescharacteristic, complemented
169C4×C22⋊Dic43C2211yescharacteristic, complemented
170C4×C22⋊Dic43C2211yescharacteristic, complemented
171C2×C43⋊#95C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C23×D4×C43C2211yescharacteristic
174C24×C4×C43C2211yescharacteristic
175C24×C4×C43C2211yescharacteristic, complemented
176C2×C4×D4×C43—28no—
177C2×C4×D4×C43C2211yescharacteristic
178C2×C4×D4×C43C2211yescharacteristic
179C2×C4×D4×C43C2211yescharacteristic
180C2×C4×D4×C43C2211yescharacteristic
181C2×C4×D4×C43C2211yescharacteristic, complemented
182C2×C4×D4×C43C2211yescharacteristic, complemented
183C2×C4×D4×C43C2211yescharacteristic, complemented
184C2×C4×D4×C43C2211yescharacteristic, complemented
185C22×C4⋊C4×C43C2211yescharacteristic, complemented
186C22×C22⋊C4×C43C2211yescharacteristic
187C22×C22⋊C4×C43C2211yescharacteristic, complemented
188C22×C42×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43—24no—
194C22×C22⋊D43—42no—
195C22×C22⋊D43—42no—
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×D43C2311yescharacteristic
213#13063320—24no—
214#13063319—24no—
215#13063313—24no—
216#13063311—24no—
217#13063310—24no—
218#13063308—24no—
219#13063308—42no—
220#13063304—42no—
221#13063302—24no—
222#13063299—24no—
223#13063299—42no—
224#13063299—42no—
225#13063299—42no—
226#13063298—24no—
227#13063297—24no—
228#13063297—24no—
229#13063295—24no—
230#13063294—24no—
231#13063294—42no—
232#13063294—42no—
233#13063294—42no—
234#13063293—24no—
235#13063293—24no—
236C4×C22⋊D43—24no—
237C4×C22⋊D43—42no—
238C4×C22⋊D43—42no—
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
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×C22⋊Dic43—42no—
256C2×C22⋊Dic43C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×(C2×D43)⋊C4—24no—
280C2×(C2×D43)⋊C4—42no—
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
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
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
341C25×C43C2311yescharacteristic
342C25×C43C2311yescharacteristic
343C22×D4×C43—24no—
344C22×D4×C43—24no—
345C22×D4×C43—24no—
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43—24no—
351C23×C4×C43—24no—
352C23×C4×C43—42no—
353C23×C4×C43—42no—
354C23×C4×C43—42no—
355C23×C4×C43—42no—
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360C23×C4×C43C2311yescharacteristic
361C23×C4×C43C2311yescharacteristic
362C23×C4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365C23×C4×C43C2311yescharacteristic
366C23×C4×C43C2311yescharacteristic
367C23×C4×C43C2311yescharacteristic
368C23×C4×C43C2311yescharacteristic
369C4×D4×C43—24no—
370C4×D4×C43—24no—
371C4×D4×C43—24no—
372C4×D4×C43—24no—
373C4×D4×C43—24no—
374C4×D4×C43—24no—
375C4×D4×C43—24no—
376C4×D4×C43D418yescomplemented
377C2×C4⋊C4×C43—24no—
378C2×C4⋊C4×C43C2311yescharacteristic
379C2×C4⋊C4×C43C2311yescharacteristic
380C2×C4⋊C4×C43C2311yescharacteristic
381C2×C4⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43—24no—
383C2×C22⋊C4×C43—24no—
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C22⋊C4×C43C2311yescharacteristic
390C2×C22⋊C4×C43C2311yescharacteristic
391C2×C22⋊C4×C43C2311yescharacteristic
392C2×C42×C43—24no—
393C2×C42×C43C2311yescharacteristic
394C2×C42×C43C2311yescharacteristic
395C2×C42×C43C2311yescharacteristic
396C2×C42×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—22no—
400C24×C43—22no—
401C24×C43—22no—
402C24×C43—22no—
403C24×C43—22no—
404C24×C43—22no—
405C24×C43—22no—
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—41no—
420C23×D43—41no—
421C23×D43—41no—
422C23×D43—41no—
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×D4×C43—232no—
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—22no—
435C2×D4×C43—22no—
436C2×D4×C43—22no—
437C2×D4×C43C2×D414yes—
438C2×D4×C43#4114yes—
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—22no—
453C22×C4×C43—22no—
454C22×C4×C43—22no—
455C22×C4×C43—22no—
456C22×C4×C43—22no—
457C22×C4×C43—22no—
458C22×C4×C43—22no—
459C22×C4×C43—22no—
460C22×C4×C43—22no—
461C22×C4×C43—41no—
462C22×C4×C43—41no—
463C22×C4×C43—41no—
464C22×C4×C43—41no—
465C22×C4×C43—41no—
466C22×C4×C43—41no—
467C22×C4×C43—41no—
468C22×C4×C43—41no—
469C22×C4×C43—41no—
470C22×C4×C43—41no—
471C22×C4×C43—41no—
472C22×C4×C43—41no—
473C22×C4×C43—41no—
474C22×C4×C43—41no—
475C22×C4×C43—41no—
476C22×C4×C43—416no—
477C22×C4×C43—416no—
478C22×C4×C43C2×D414yes—
479C22×C4×C43C2×D414yescomplemented
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
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—22no—
502C2×C22⋊D43—22no—
503C2×C22⋊D43—22no—
504C2×C22⋊D43—22no—
505C2×C22⋊D43—22no—
506C2×C22⋊D43—22no—
507C2×C22⋊D43—22no—
508C2×C22⋊D43—22no—
509C2×C22⋊D43—22no—
510C2×C22⋊D43—22no—
511C2×C22⋊D43—41no—
512C2×C22⋊D43—41no—
513C2×C22⋊D43—41no—
514C2×C22⋊D43—41no—
515C2×C22⋊D43—41no—
516C2×C22⋊D43—41no—
517C2×C22⋊D43—41no—
518C2×C22⋊D43—41no—
519C2×C22⋊D43—41no—
520C2×C22⋊D43—41no—
521C2×C22⋊D43—41no—
522C2×C22⋊D43—41no—
523C2×C22⋊D43—41no—
524C2×C22⋊D43—41no—
525C2×C22⋊D43—41no—
526C2×C22⋊D43—41no—
527C2×C22⋊D43—41no—
528C2×C22⋊D43—41no—
529C2×C22⋊D43—416no—
530C22×Dic43—22no—
531C22×Dic43—22no—
532C22×Dic43—22no—
533C22×Dic43—41no—
534C22×Dic43—41no—
535C22×Dic43—41no—
536C22×Dic43—41no—
537C22×Dic43—41no—
538C22×Dic43—41no—
539C22×Dic43C2411yescharacteristic
540C22×Dic43C2411yescharacteristic
541C22×Dic43C2411yescharacteristic
542C22×Dic43C2411yescharacteristic
543C22×Dic43C2411yescharacteristic
544C22×Dic43C2411yescharacteristic
545C22×Dic43C2411yescharacteristic
546C22×Dic43C2411yescharacteristic
547C22×Dic43C2411yescharacteristic
548C22×Dic43C2411yescharacteristic
549C22×Dic43C2411yescharacteristic
550C22×Dic43C2411yescharacteristic
551C22×Dic43C2411yescharacteristic
552C2×D172—22no—
553C2×D172—22no—
554C2×D172—41no—
555C2×D172—41no—
556C2×D172—41no—
557C2×D172—41no—
558C2×C4×D43—22no—
559C2×C4×D43—41no—
560C2×C4×D43—41no—
561C2×Dic86—22no—
562C2×Dic86—41no—
563C2×Dic86—41no—
564C4⋊C4×C43—22no—
565C4⋊C4×C43—22no—
566C4⋊C4×C43—22no—
567C4⋊C4×C43C2×D414yescomplemented
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43C2×D414yes—
575C22⋊C4×C43C2×D414yescomplemented
576C42×C43—22no—
577C42×C43—22no—
578C42×C43—22no—
579C42×C43C2×D414yescomplemented
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—41no—
592C22⋊Dic43—41no—
593C22⋊Dic43—41no—
594C22⋊Dic43—41no—
595C22⋊Dic43—41no—
596C22⋊Dic43—41no—
597C22⋊Dic43—41no—
598C22⋊Dic43—41no—
599C22⋊Dic43—41no—
600C22⋊Dic43—41no—
601C22⋊Dic43—41no—
602C22⋊Dic43—41no—
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—22no—
609(C2×D43)⋊C4—22no—
610(C2×D43)⋊C4—22no—
611(C2×D43)⋊C4—22no—
612(C2×D43)⋊C4—22no—
613(C2×D43)⋊C4—22no—
614(C2×D43)⋊C4—22no—
615(C2×D43)⋊C4—22no—
616(C2×D43)⋊C4—22no—
617(C2×D43)⋊C4—22no—
618(C2×D43)⋊C4—22no—
619(C2×D43)⋊C4—41no—
620(C2×D43)⋊C4—41no—
621(C2×D43)⋊C4—41no—
622(C2×D43)⋊C4—41no—
623(C2×D43)⋊C4—41no—
624(C2×D43)⋊C4—41no—
625(C2×D43)⋊C4—41no—
626(C2×D43)⋊C4—41no—
627(C2×D43)⋊C4—41no—
628C4⋊Dic43—22no—
629C4⋊Dic43—41no—
630C4⋊Dic43—41no—
631C4⋊Dic43—41no—
632C4⋊Dic43—41no—
633Dic43⋊C4—22no—
634Dic43⋊C4—22no—
635Dic43⋊C4—22no—
636Dic43⋊C4—22no—
637Dic43⋊C4—22no—
638Dic43⋊C4—22no—
639Dic43⋊C4—41no—
640Dic43⋊C4—41no—
641Dic43⋊C4—41no—
642Dic43⋊C4—41no—
643Dic43⋊C4—41no—
644C4×Dic43—22no—
645C4×Dic43—41no—
646C4×Dic43—41no—
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—28no—
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—44no—
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—44no—
686C23×C43—44no—
687C23×C43C22×D412yes—
688C23×C43C22×D412yes—
689C23×C43C2×#4112yes—
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—21no—
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—21no—
718C22×D43—44no—
719C22×D43—44no—
720C22×D43—44no—
721C22×D43—82no—
722C22×D43—82no—
723C22×D43—82no—
724C22×D43—82no—
725D4×C43—28no—
726D4×C43—28no—
727D4×C43—28no—
728D4×C43—28no—
729C2×C4×C43—28no—
730C2×C4×C43—28no—
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—44no—
755C2×C4×C43—44no—
756C2×C4×C43—44no—
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—44no—
764C2×C4×C43—44no—
765C2×C4×C43C22×D412yes—
766C2×C4×C43C22×D412yes—
767C2×C4×C43C22×D412yes—
768C2×C4×C43C22×D412yes—
769C2×C4×C43C22×D412yes—
770C2×C4×C43C2×#4112yes—
771C2×C4×C43H(5,𝔽2)12yes—
772C22⋊D43—44no—
773C22⋊D43—44no—
774C22⋊D43—44no—
775C22⋊D43—44no—
776C22⋊D43—44no—
777C22⋊D43—44no—
778C22⋊D43—44no—
779C22⋊D43—82no—
780C22⋊D43—82no—
781C22⋊D43—82no—
782C22⋊D43—82no—
783C22⋊D43—82no—
784C22⋊D43—82no—
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—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—44no—
825C2×Dic43—82no—
826C2×Dic43—82no—
827D172—82no—
828D172—82no—
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—22no—
848C22×C43—22no—
849C22×C43—22no—
850C22×C43—22no—
851C22×C43—22no—
852C22×C43—22no—
853C22×C43—416no—
854C22×C43—416no—
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—41no—
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—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
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—88no—
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—22no—
901C4×C43—22no—
902C4×C43—22no—
903C4×C43—22no—
904C4×C43—22no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921C2×#538—431no—
922C22×C4×D4D4311yescharacteristic, complemented
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×#386—431no—
952C2×C43—24no—
953C2×C43—24no—
954C2×C43—42no—
955C2×C43—42no—
956C2×C43—42no—
957C2×C43C2×#52511yescharacteristic
958C2×C43C2×#53811yescharacteristic
959C2×C43#345911yescharacteristic
960C2×C43#348411yescharacteristic
961C2×C43#348811yescharacteristic
962C2×C43#351311yescharacteristic
963C2×C43#351911yescharacteristic
964D43—81no—
965D43—81no—
966D43—81no—
967C23×D4—431no—
968C23×D4C2×D4311yescharacteristic
969C24×C4C2×D4311yescharacteristic
970C24×C4C2×D4311yescharacteristic, complemented
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—28no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C2×C4×D4C2×D4311yescharacteristic
1000C2×C4×D4C2×D4311yescharacteristic
1001C2×C4×D4C2×D4311yescharacteristic
1002C2×C4×D4C2×D4311yescharacteristic
1003C2×C4×D4C2×D4311yescharacteristic, complemented
1004C2×C4×D4C2×D4311yescharacteristic, complemented
1005C2×C4×D4C2×D4311yescharacteristic, complemented
1006C2×C4×D4C2×D4311yescharacteristic, complemented
1007C22×C4⋊C4C2×D4311yescharacteristic, complemented
1008C22×C22⋊C4—431no—
1009C22×C22⋊C4—431no—
1010C22×C22⋊C4—431no—
1011C22×C22⋊C4C2×D4311yescharacteristic
1012C22×C22⋊C4C2×D4311yescharacteristic, complemented
1013C22×C42C2×D4311yescharacteristic, complemented
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#386—431no—
1089#386—431no—
1090#386—431no—
1091#386—431no—
1092#386—431no—
1093#386—431no—
1094#386—431no—
1095#386—431no—
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×#95—431no—
1123C2×#95—431no—
1124C43#3499011yescharacteristic, complemented, Sylow
1125C25—431no—
1126C25C22×D4311yescharacteristic
1127C25C22×D4311yescharacteristic
1128C22×Q8—431no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
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—1722no—
1149C22×D4—1722no—
1150C22×D4C22×D4311yescharacteristic
1151C22×D4C22×D4311yescharacteristic
1152C22×D4C22×D4311yescharacteristic
1153C22×D4C22×D4311yescharacteristic
1154C23×C4—24no—
1155C23×C4—24no—
1156C23×C4—42no—
1157C23×C4—42no—
1158C23×C4—42no—
1159C23×C4—42no—
1160C23×C4—431no—
1161C23×C4—431no—
1162C23×C4—431no—
1163C23×C4—431no—
1164C23×C4C22×D4311yescharacteristic
1165C23×C4C22×D4311yescharacteristic
1166C23×C4C22×D4311yescharacteristic
1167C23×C4C22×D4311yescharacteristic
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—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—24no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—864no—
1208C4×D4—1722no—
1209C4×D4—1722no—
1210C4×D4C22⋊D4318yescomplemented
1211C2×C4⋊C4—24no—
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⋊C4C22×D4311yescharacteristic
1229C2×C4⋊C4C22×D4311yescharacteristic
1230C2×C4⋊C4C22×D4311yescharacteristic
1231C2×C4⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
1234C2×C22⋊C4—431no—
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—431no—
1280C2×C22⋊C4—431no—
1281C2×C22⋊C4—431no—
1282C2×C22⋊C4—864no—
1283C2×C22⋊C4—1722no—
1284C2×C22⋊C4—1722no—
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—24no—
1294C2×C42—431no—
1295C2×C42—431no—
1296C2×C42—431no—
1297C2×C42C22×D4311yescharacteristic
1298C2×C42C22×D4311yescharacteristic
1299C2×C42C22×D4311yescharacteristic
1300C2×C42C22×D4311yescharacteristic
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#95—431no—
1326#95—431no—
1327#95—431no—
1328#95—431no—
1329#95—431no—
1330#95—431no—
1331#95—431no—
1332#95—431no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—431no—
1347C24—431no—
1348C24—431no—
1349C24—862no—
1350C24—862no—
1351C24—862no—
1352C24—1721no—
1353C24—1721no—
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—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—862no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—862no—
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—862no—
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—1721no—
1400C2×D4—1721no—
1401C2×D4—1721no—
1402C2×D4—1721no—
1403C2×D4—1721no—
1404C2×D4—1721no—
1405C2×D4—1721no—
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—17216no—
1422C2×D4#1062189814yes—
1423C2×D4C2×C22⋊D4314yes—
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—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—431no—
1464C22×C4—431no—
1465C22×C4—431no—
1466C22×C4—431no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—862no—
1477C22×C4—862no—
1478C22×C4—862no—
1479C22×C4—862no—
1480C22×C4—1721no—
1481C22×C4—1721no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—1721no—
1485C22×C4—1721no—
1486C22×C4—1721no—
1487C22×C4—1721no—
1488C22×C4C2×C22⋊D4314yes—
1489C22×C4C2×C22⋊D4314yescomplemented
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—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—862no—
1504C4⋊C4—862no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—1721no—
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⋊C4C2×C22⋊D4314yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—862no—
1527C22⋊C4—862no—
1528C22⋊C4—862no—
1529C22⋊C4—862no—
1530C22⋊C4—862no—
1531C22⋊C4—862no—
1532C22⋊C4—862no—
1533C22⋊C4—862no—
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—1721no—
1554C22⋊C4—1721no—
1555C22⋊C4—1721no—
1556C22⋊C4—1721no—
1557C22⋊C4—1721no—
1558C22⋊C4—1721no—
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⋊C4C2×C22⋊D4314yes—
1575C22⋊C4C2×C22⋊D4314yescomplemented
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—862no—
1580C42—1721no—
1581C42—1721no—
1582C42C2×C22⋊D4314yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
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—28no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—861no—
1624C23—861no—
1625C23—861no—
1626C23—861no—
1627C23—861no—
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—3442no—
1645C23—3442no—
1646C23—3442no—
1647C23—3442no—
1648C23—1724no—
1649C23—1724no—
1650C23—1724no—
1651C23C22×C22⋊D4312yes—
1652C23C22×C22⋊D4312yes—
1653C23C2×#1062189812yes—
1654C23C2×#1062189812yes—
1655C23C2×#1062189812yes—
1656C23C2×#1062189812yes—
1657C23C2×#1062189812yes—
1658C23#1306337012yes—
1659C23#1306337112yes—
1660C23C24×D4311yescharacteristic
1661Q8—3442no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—3442no—
1667D4—3442no—
1668D4—3442no—
1669D4—3442no—
1670D4—3442no—
1671D4—3442no—
1672D4—3442no—
1673D4—3442no—
1674D4—1724no—
1675D4—1724no—
1676D4—1724no—
1677D4—1724no—
1678D4—1724no—
1679D4—1724no—
1680D4—1724no—
1681C2×C4—28no—
1682C2×C4—28no—
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—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
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—3442no—
1757C2×C4—3442no—
1758C2×C4—3442no—
1759C2×C4—1724no—
1760C2×C4C22×C22⋊D4312yes—
1761C2×C4C22×C22⋊D4312yes—
1762C2×C4C22×C22⋊D4312yes—
1763C2×C4C22×C22⋊D4312yes—
1764C2×C4C22×C22⋊D4312yes—
1765C2×C4C2×#1062189812yes—
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—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—3448no—
1803C22—1721no—
1804C22—1721no—
1805C22—1721no—
1806C22—1721no—
1807C22—1721no—
1808C22—1721no—
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#1458341014yes—
1825C22#1458348214yescomplemented
1826C22C23×C22⋊D4311yescharacteristic
1827C22C22×#1062189811yescharacteristic
1828C22C22×#1062189811yescharacteristic
1829C22C2×#1306337011yescharacteristic
1830C22C2×#1306337011yescharacteristic
1831C22C2×#1306337111yescharacteristic
1832C22#1458373511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—1721no—
1844C4—1721no—
1845C4—1721no—
1846C4—1721no—
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—42no—
1860C2—42no—
1861C2—3441no—
1862C2—3441no—
1863C2—3441no—
1864C2C2×#1458341011yescharacteristic
1865C2C2×#1458348211yescharacteristic
1866C2#1914800411yescharacteristic
1867C2#1914823011yescharacteristic
1868C2#1914826411yescharacteristic
1869C2#1914853511yescharacteristic
1870C2#1914862711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC22×C4×D4×C43C2
hypercenterC22×C4×D4D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#14583482C2semidirect
2. #19142910C2semidirect
3. #19142896C2semidirect
4. #19142887C2semidirect
5. #19142877C2semidirect
6. #19140490C2semidirect
7. #19140479C2semidirect
8. #19140447C2semidirect
9. #19140432C2semidirect
10. #19138850C2semidirect
11. #19138715C2semidirect
12. #19138640C2semidirect
13. #19138526C2semidirect
14. #19138487C2semidirect
15. #19138481C2semidirect
16. #19138413C2semidirect
17. #19138339C2semidirect
18. #19138330C2semidirect
19. #19138256C2semidirect
20. #19138131C2semidirect
21. #19138125C2semidirect
22. #19138051C2semidirect
23. #19137969C2semidirect
24. #19137963C2semidirect
25. #19137905C2semidirect
26. #19137293C2semidirect
27. #19137249C2semidirect
28. #19137228C2semidirect
29. C4×#13063294C2semidirect
30. C2×#14582778C2semidirect
31. C22×C4×D4×C43C2semidirect
34. C2×#13063320C22semidirect
35. C2×#13063319C22semidirect
36. C2×#13063313C22semidirect
37. C2×#13063311C22semidirect
38. C2×#13063310C22semidirect
39. C2×#13063308C22semidirect
40. C2×#13063308C22semidirect
41. C2×#13063304C22semidirect
42. C2×#13063302C22semidirect
45. C2×#13063299C22semidirect
46. C2×#13063299C22semidirect
47. C2×#13063298C22semidirect
50. C2×#13063295C22semidirect
54. C2×#13063294C22semidirect
57. C2×C4×C22⋊D43C22semidirect
58. C2×C4×C22⋊D43C22semidirect
59. C2×C4×C22⋊D43C22semidirect
61. C22×(C2×D43)⋊C4C22semidirect
62. C22×(C2×D43)⋊C4C22semidirect
63. #14582838C22semidirect
64. #14582837C22semidirect
65. #14582835C22semidirect
66. #14582834C22semidirect
67. #14582832C22semidirect
68. #14582827C22semidirect
69. #14582825C22semidirect
70. #14582825C22semidirect
71. #14582822C22semidirect
72. #14582822C22semidirect
73. #14582822C22semidirect
74. #14582821C22semidirect
75. #14582816C22semidirect
76. #14582815C22semidirect
77. #14582815C22semidirect
78. #14582815C22semidirect
79. #14582814C22semidirect
80. #14582814C22semidirect
81. #14582814C22semidirect
82. #14582813C22semidirect
83. #14582813C22semidirect
84. #14582811C22semidirect
85. #14582811C22semidirect
86. #14582808C22semidirect
87. #14582808C22semidirect
88. #14582808C22semidirect
93. #14582807C22semidirect
94. #14582807C22semidirect
95. #14582805C22semidirect
96. #14582801C22semidirect
97. #14582799C22semidirect
98. #14582799C22semidirect
99. #14582792C22semidirect
100. #14582792C22semidirect
101. #14582790C22semidirect
102. #14582790C22semidirect
103. #14582790C22semidirect
104. #14582790C22semidirect
105. #14582790C22semidirect
106. #14582790C22semidirect
107. #14582790C22semidirect
108. #14582789C22semidirect
109. #14582789C22semidirect
110. #14582787C22semidirect
111. #14582785C22semidirect
112. #14582785C22semidirect
113. #14582783C22semidirect
114. #14582783C22semidirect
115. #14582783C22semidirect
116. #14582780C22semidirect
129. #14582778C22semidirect
130. #14582778C22semidirect
131. #14582778C22semidirect
132. #14582778C22semidirect
133. #14582778C22semidirect
134. #14582778C22semidirect
135. #14582778C22semidirect
136. #14582778C22semidirect
137. #14582778C22semidirect
138. #14582778C22semidirect
139. #14582778C22semidirect
140. #14582778C22semidirect
141. #14582778C22semidirect
142. #14582778C22semidirect
143. #14582776C22semidirect
144. #14582775C22semidirect
145. #14582774C22semidirect
146. #14582774C22semidirect
147. #14582772C22semidirect
148. #14582772C22semidirect
149. #14582772C22semidirect
150. #14582772C22semidirect
151. #14582772C22semidirect
152. #14582772C22semidirect
153. #14582772C22semidirect
154. #14582772C22semidirect
155. #14582771C22semidirect
156. #14582770C22semidirect
157. #14582767C22semidirect
158. #14582765C22semidirect
159. #14582762C22semidirect
160. #14582762C22semidirect
161. #14582759C22semidirect
162. #14582759C22semidirect
163. #14582759C22semidirect
164. #14582757C22semidirect
166. #14582755C22semidirect
167. #14582754C22semidirect
168. C4×C22⋊Dic43C22semidirect
169. C4×C22⋊Dic43C22semidirect
170. C4×C22⋊Dic43C22semidirect
171. C2×C43⋊#95C22semidirect
172. C2×C43⋊#95C22semidirect
175. C24×C4×C43C22semidirect
181. C2×C4×D4×C43C22semidirect
182. C2×C4×D4×C43C22semidirect
183. C2×C4×D4×C43C22semidirect
184. C2×C4×D4×C43C22semidirect
185. C22×C4⋊C4×C43C22semidirect
187. C22×C22⋊C4×C43C22semidirect
188. C22×C42×C43C22semidirect
376. C4×D4×C43D4semidirect
479. C22×C4×C43C2×D4semidirect
567. C4⋊C4×C43C2×D4semidirect
575. C22⋊C4×C43C2×D4semidirect
579. C42×C43C2×D4semidirect
868. C22×C43#538semidirect
922. C22×C4×D4D43semidirect
970. C24×C4C2×D43semidirect
1003. C2×C4×D4C2×D43semidirect
1004. C2×C4×D4C2×D43semidirect
1005. C2×C4×D4C2×D43semidirect
1006. C2×C4×D4C2×D43semidirect
1007. C22×C4⋊C4C2×D43semidirect
1012. C22×C22⋊C4C2×D43semidirect
1013. C22×C42C2×D43semidirect
1124. C43#34990semidirect
1210. C4×D4C22⋊D43semidirect
1489. C22×C4C2×C22⋊D43semidirect
1519. C4⋊C4C2×C22⋊D43semidirect
1575. C22⋊C4C2×C22⋊D43semidirect
1582. C42C2×C22⋊D43semidirect
1825. C22#14583482semidirect

Maximal subgroups

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

subgroupindex
C2×#145834822
#191429102
#191428962
#191428872
#191428772
#191404902
#191404792
#191404472
#191404322
#191388502
#191387152
#191386402
#191385262
#191384872
#191384812
#191384132
#191383392
#191383302
#191382562
#191381312
#191381252
#191380512
#191379692
#191379632
#191379052
#191372932
#191372492
#191372282
C4×#130632942
C2×#145827782
C22×C4×D4×C432
#3499043