Finite Group Databasebeta

← #25269264

Subgroups — #25269264

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×#14583483C211yesmaximal, characteristic, complemented
2C22×C4×D172C211yesmaximal, characteristic, complemented
3#19142910C211yesmaximal, characteristic, complemented
4#19142886C211yesmaximal, characteristic, complemented
5#19142876C211yesmaximal, characteristic, complemented
6#19140494C211yesmaximal, characteristic, complemented
7#19140486C211yesmaximal, characteristic, complemented
8#19140448C211yesmaximal, characteristic, complemented
9#19140442C211yesmaximal, characteristic, complemented
10#19138855C211yesmaximal, characteristic, complemented
11#19138728C211yesmaximal, characteristic, complemented
12#19138645C211yesmaximal, characteristic, complemented
13#19138539C211yesmaximal, characteristic, complemented
14#19138493C211yesmaximal, characteristic, complemented
15#19138484C211yesmaximal, characteristic, complemented
16#19138416C211yesmaximal, characteristic, complemented
17#19138352C211yesmaximal, characteristic, complemented
18#19138328C211yesmaximal, characteristic, complemented
19#19138258C211yesmaximal, characteristic, complemented
20#19138138C211yesmaximal, characteristic, complemented
21#19138137C211yesmaximal, characteristic, complemented
22#19138062C211yesmaximal, characteristic, complemented
23#19137972C211yesmaximal, characteristic, complemented
24#19137966C211yesmaximal, characteristic, complemented
25#19137907C211yesmaximal, characteristic, complemented
26#19137299C211yesmaximal, characteristic, complemented
27#19137257C211yesmaximal, characteristic, complemented
28#19137231C211yesmaximal, characteristic, complemented
29#19137100C211yesmaximal, characteristic, complemented
30#386×D43C211yesmaximal, characteristic, complemented
31C43×#2850C211yesmaximal, characteristic, complemented
32C23×D172C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic, complemented
36#14583483—28no—
37C2×#13063319C2211yescharacteristic, complemented
38C2×#13063318C2211yescharacteristic, complemented
39C2×#13063314C2211yescharacteristic, complemented
40C2×#13063309C2211yescharacteristic, complemented
41C2×#13063307C2211yescharacteristic, complemented
42C2×#13063307C2211yescharacteristic, complemented
43C2×#13063301C2211yescharacteristic, complemented
44C2×#13063298C2211yescharacteristic
45C2×#13063298C2211yescharacteristic
46C2×#13063298C2211yescharacteristic, complemented
47C2×#13063298C2211yescharacteristic, complemented
48C2×#13063297C2211yescharacteristic
49C2×#13063297C2211yescharacteristic, complemented
50C2×#13063295C2211yescharacteristic
51C2×#13063295C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063293C2211yescharacteristic
54C2×#13063293C2211yescharacteristic
55C2×#13063293C2211yescharacteristic, complemented
56C2×#13063293C2211yescharacteristic, complemented
57C2×C4×D172—28no—
58C2×C4×D172C2211yescharacteristic
59C2×C4×D172C2211yescharacteristic
60C2×C4×D172C2211yescharacteristic
61C2×C4×D172C2211yescharacteristic
62C2×C4×D172C2211yescharacteristic, complemented
63C2×C4×D172C2211yescharacteristic, complemented
64C2×C4×D172C2211yescharacteristic, complemented
65C2×C4×D172C2211yescharacteristic, complemented
66C2×D4×Dic43C2211yescharacteristic, complemented
67C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
69C22×C4⋊Dic43C2211yescharacteristic, complemented
70C22×(C2×D43)⋊C4C2211yescharacteristic
71C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
72C2×C22⋊C4×D43C2211yescharacteristic
73C2×C22⋊C4×D43C2211yescharacteristic, complemented
74C2×C22⋊C4×D43C2211yescharacteristic, complemented
75#14582841C2211yescharacteristic, complemented
76#14582839C2211yescharacteristic, complemented
77#14582836C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582831C2211yescharacteristic, complemented
80#14582825C2211yescharacteristic, complemented
81#14582824C2211yescharacteristic, complemented
82#14582824C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582817C2211yescharacteristic, complemented
88#14582817C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic, complemented
90#14582816C2211yescharacteristic, complemented
91#14582816C2211yescharacteristic, complemented
92#14582815C2211yescharacteristic, complemented
93#14582815C2211yescharacteristic, complemented
94#14582814C2211yescharacteristic, complemented
95#14582814C2211yescharacteristic, complemented
96#14582810C2211yescharacteristic, complemented
97#14582810C2211yescharacteristic, complemented
98#14582809C2211yescharacteristic
99#14582809C2211yescharacteristic
100#14582808C2211yescharacteristic
101#14582808C2211yescharacteristic
102#14582808C2211yescharacteristic, complemented
103#14582808C2211yescharacteristic, complemented
104#14582808C2211yescharacteristic, complemented
105#14582807C2211yescharacteristic, complemented
106#14582807C2211yescharacteristic, complemented
107#14582800C2211yescharacteristic, complemented
108#14582799C2211yescharacteristic, complemented
109#14582792C2211yescharacteristic, complemented
110#14582791C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582790C2211yescharacteristic, complemented
114#14582789C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582789C2211yescharacteristic, complemented
117#14582786C2211yescharacteristic, complemented
118#14582784C2211yescharacteristic, complemented
119#14582784C2211yescharacteristic, complemented
120#14582783C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582783C2211yescharacteristic, complemented
123#14582779C2211yescharacteristic
124#14582779C2211yescharacteristic
125#14582778C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic, complemented
133#14582777C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic, complemented
138#14582775C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic, complemented
140#14582775C2211yescharacteristic, complemented
141#14582775C2211yescharacteristic, complemented
142#14582775C2211yescharacteristic, complemented
143#14582775C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic, complemented
145#14582775C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic, complemented
147#14582774C2211yescharacteristic, complemented
148#14582774C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582767C2211yescharacteristic, complemented
160#14582761C2211yescharacteristic, complemented
161#14582761C2211yescharacteristic, complemented
162#14582758C2211yescharacteristic, complemented
163#14582758C2211yescharacteristic, complemented
164#14582757C2211yescharacteristic, complemented
165#14582756C2211yescharacteristic, complemented
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic, complemented
168#14582754C2211yescharacteristic, complemented
169C22⋊C4×Dic43C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×#124×C43C2211yescharacteristic, complemented
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C2×#121×C43C2211yescharacteristic
177C22×C42×C43C2211yescharacteristic, complemented
178C43×#391C2211yescharacteristic, complemented
179C43×#390C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic, complemented
187C43×#386C2211yescharacteristic, complemented
188C43×#382C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C22×D172—24no—
193C22×D172—24no—
194C22×D172—24no—
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C2×D4×D43—24no—
212C2×D4×D43—42no—
213C2×D4×D43—42no—
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2311yescharacteristic
216C23×Dic43C2311yescharacteristic
217C22×C4×D43—24no—
218C22×C4×D43—24no—
219C22×C4×D43—42no—
220C22×C4×D43—42no—
221C22×C4×D43—42no—
222C22×C4×D43—42no—
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234#13063319—24no—
235#13063318—24no—
236#13063314—24no—
237#13063309—24no—
238#13063307—24no—
239#13063307—42no—
240#13063301—24no—
241#13063298—24no—
242#13063298—24no—
243#13063298—24no—
244#13063298—42no—
245#13063297—24no—
246#13063297—42no—
247#13063295—24no—
248#13063295—24no—
249#13063295—42no—
250#13063293—24no—
251#13063293—24no—
252#13063293—42no—
253#13063293—42no—
254C4×D172—24no—
255C4×D172—24no—
256C4×D172—24no—
257C4×D172—24no—
258C4×D172—24no—
259C4×D172—24no—
260C4×D172—24no—
261C4×D172D418yescomplemented
262D4×Dic43—42no—
263(C22⋊D43)⋊C4—24no—
264(C22⋊D43)⋊C4—42no—
265C2×C4⋊Dic43—24no—
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×C4⋊Dic43C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
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×(C2×D43)⋊C4—24no—
292C2×(C2×D43)⋊C4—24no—
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×(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×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C22⋊C4×D43—24no—
329C22⋊C4×D43—42no—
330C22⋊C4×D43—42no—
331C2×C4×Dic43C2311yescharacteristic
332C2×C4×Dic43C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
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
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C22×Q8×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C23×C4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365#124×C43—24no—
366C22⋊Q8×C43—42no—
367#121×C43—42no—
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
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×C42×C43—24no—
385C2×C42×C43C2311yescharacteristic
386C2×C42×C43C2311yescharacteristic
387C2×C42×C43C2311yescharacteristic
388C2×C42×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×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—22no—
407C23×D43—22no—
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—41no—
413C23×D43—41no—
414C23×D43—41no—
415C23×D43—41no—
416C23×D43—41no—
417C23×D43—41no—
418C23×D43—41no—
419C23×D43—41no—
420C23×D43#4114yes—
421C23×D43C2411yescharacteristic
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×Q8×C43—22no—
427C2×Q8×C43—41no—
428C2×Q8×C43—41no—
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—41no—
437C2×D4×C43—41no—
438C22×C4×C43—22no—
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—41no—
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
483C2×C22⋊D43—41no—
484C2×C22⋊D43—41no—
485C2×C22⋊D43—41no—
486C22×Dic43—22no—
487C22×Dic43—22no—
488C22×Dic43—22no—
489C22×Dic43—22no—
490C22×Dic43—22no—
491C22×Dic43—41no—
492C22×Dic43—41no—
493C22×Dic43—41no—
494C22×Dic43—41no—
495C22×Dic43C2411yescharacteristic
496C22×Dic43C2411yescharacteristic
497C22×Dic43C2411yescharacteristic
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2411yescharacteristic
504C22×Dic43C2411yescharacteristic
505C22×Dic43C2411yescharacteristic
506D4×D43—416no—
507C2×D172—232no—
508C2×D172—22no—
509C2×D172—22no—
510C2×D172—22no—
511C2×D172—22no—
512C2×D172—22no—
513C2×D172—22no—
514C2×D172—22no—
515C2×D172—22no—
516C2×D172—22no—
517C2×D172—22no—
518C2×D172—22no—
519C2×D172—22no—
520C2×D172—22no—
521C2×D172—41no—
522C2×D172—41no—
523C2×D172—41no—
524C2×D172—41no—
525C2×D172—41no—
526C2×D172—41no—
527C2×D172C2×D414yes—
528C2×D172#4114yes—
529C2×C4×D43—22no—
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—22no—
535C2×C4×D43—22no—
536C2×C4×D43—22no—
537C2×C4×D43—22no—
538C2×C4×D43—22no—
539C2×C4×D43—22no—
540C2×C4×D43—22no—
541C2×C4×D43—22no—
542C2×C4×D43—41no—
543C2×C4×D43—41no—
544C2×C4×D43—41no—
545C2×C4×D43—41no—
546C2×C4×D43—41no—
547C2×C4×D43—41no—
548C2×C4×D43—41no—
549C2×C4×D43—41no—
550C2×C4×D43—41no—
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—41no—
560C2×C4×D43—416no—
561C2×C4×D43—416no—
562C2×C4×D43C2×D414yes—
563C2×C4×D43C2×D414yescomplemented
564C4⋊C4×C43—41no—
565C4⋊C4×C43—41no—
566C4⋊C4×C43—41no—
567C4⋊C4×C43—41no—
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×C43—22no—
575C22⋊C4×C43—22no—
576C22⋊C4×C43—22no—
577C22⋊C4×C43—22no—
578C22⋊C4×C43—41no—
579C22⋊C4×C43—41no—
580C42×C43—22no—
581C42×C43—22no—
582C42×C43—22no—
583C42×C43C2×D414yescomplemented
584C22⋊Dic43—22no—
585C22⋊Dic43—22no—
586C22⋊Dic43—22no—
587C22⋊Dic43—22no—
588C22⋊Dic43—22no—
589C22⋊Dic43—41no—
590C22⋊Dic43—41no—
591C22⋊Dic43—41no—
592C22⋊Dic43—41no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
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—22no—
609(C2×D43)⋊C4—22no—
610(C2×D43)⋊C4—22no—
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)⋊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)⋊C4C2×D414yes—
627(C2×D43)⋊C4C2×D414yescomplemented
628C4⋊Dic43—22no—
629C4⋊Dic43—22no—
630C4⋊Dic43—22no—
631C4⋊Dic43—22no—
632C4⋊Dic43—41no—
633C4⋊Dic43—41no—
634C4⋊Dic43C2×D414yescomplemented
635Dic43⋊C4—22no—
636Dic43⋊C4—22no—
637Dic43⋊C4—22no—
638Dic43⋊C4—22no—
639Dic43⋊C4—22no—
640Dic43⋊C4—22no—
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—21no—
656C23×C43—21no—
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×C43C2×#4112yes—
666C23×C43H(5,𝔽2)12yes—
667C23×C43H(5,𝔽2)12yes—
668C23×C43C2511yescharacteristic
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—28no—
674C22×D43—28no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—28no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—44no—
702C22×D43—44no—
703C22×D43—44no—
704C22×D43—44no—
705C22×D43—44no—
706C22×D43—44no—
707C22×D43—44no—
708C22×D43—44no—
709C22×D43—44no—
710C22×D43—44no—
711C22×D43—44no—
712C22×D43—44no—
713C22×D43—44no—
714C22×D43—44no—
715C22×D43—82no—
716C22×D43—82no—
717C22×D43—82no—
718C22×D43—82no—
719C22×D43C22×D412yes—
720C22×D43C22×D412yes—
721C22×D43C2×#4112yes—
722C22×D43C2×#4112yes—
723C22×D43C2×#4112yes—
724C22×D43C2×#4112yes—
725Q8×C43—82no—
726D4×C43—44no—
727D4×C43—44no—
728D4×C43—82no—
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—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—44no—
763C2×C4×C43C22×D412yes—
764C2×C4×C43C22×D412yes—
765C2×C4×C43C22×D412yes—
766C2×C4×C43C2×#4112yes—
767C2×C4×C43H(5,𝔽2)12yes—
768C22⋊D43—44no—
769C22⋊D43—44no—
770C22⋊D43—44no—
771C22⋊D43—44no—
772C22⋊D43—82no—
773C22⋊D43—82no—
774C22⋊D43—82no—
775C22⋊D43—82no—
776C22⋊D43—82no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
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—44no—
809C2×Dic43—44no—
810C2×Dic43—82no—
811C2×Dic43C22×D412yes—
812C2×Dic43C22×D412yes—
813D172—28no—
814D172—28no—
815D172—28no—
816D172—28no—
817D172—44no—
818D172—82no—
819D172—82no—
820C4×D43—44no—
821C4×D43—44no—
822C4×D43—44no—
823C4×D43—44no—
824C4×D43—44no—
825C4×D43—44no—
826C4×D43—44no—
827C4×D43—44no—
828C4×D43—44no—
829C4×D43—82no—
830C4×D43—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—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43#53814yescomplemented
853C22×C43C23×D411yescharacteristic
854C22×C43C22×#4111yescharacteristic
855C22×C43C22×#4111yescharacteristic
856C22×C43C2×H(5,𝔽2)11yescharacteristic
857C22×C43C2×H(5,𝔽2)11yescharacteristic
858C22×C43C2×H(5,𝔽2)11yescharacteristic
859C22×C43#58511yescharacteristic
860C2×D43—22no—
861C2×D43—22no—
862C2×D43—22no—
863C2×D43—22no—
864C2×D43—22no—
865C2×D43—22no—
866C2×D43—22no—
867C2×D43—22no—
868C2×D43—22no—
869C2×D43—22no—
870C2×D43—22no—
871C2×D43—22no—
872C2×D43—22no—
873C2×D43—22no—
874C2×D43—22no—
875C2×D43—416no—
876C2×D43—416no—
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—88no—
897C2×D43#52514yes—
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—22no—
901C4×C43—22no—
902C4×C43—22no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43—41no—
909C4×C43—41no—
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#2850D4311yescharacteristic, complemented
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—81no—
954C2×C43—81no—
955C2×C43C2×#52511yescharacteristic
956C2×C43C2×#53811yescharacteristic
957C2×C43#345911yescharacteristic
958C2×C43#348411yescharacteristic
959C2×C43#348811yescharacteristic
960C2×C43#351311yescharacteristic
961C2×C43#351911yescharacteristic
962D43—24no—
963D43—42no—
964D43—42no—
965D43—42no—
966D43—81no—
967C23×D4—431no—
968C23×D4—431no—
969C24×C4—431no—
970C24×C4—431no—
971#538—868no—
972C2×#126—431no—
973C2×#126—431no—
974C2×#124—431no—
975C2×#124C2×D4311yescharacteristic, complemented
976C2×#123—431no—
977C2×#123—431no—
978C2×#123—431no—
979C2×C22⋊Q8—431no—
980C2×C22⋊Q8C2×D4311yescharacteristic, complemented
981C2×#121—431no—
982C2×#121—431no—
983C2×#121—431no—
984C2×#121—431no—
985C2×#121—431no—
986C2×#121—431no—
987C2×#121C2×D4311yescharacteristic
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⋊C4—431no—
1011C22×C22⋊C4—431no—
1012C22×C22⋊C4—431no—
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#391C2×D4311yescharacteristic, complemented
1047#390—431no—
1048#390—431no—
1049#390C2×D4311yescharacteristic, complemented
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#388C2×D4311yescharacteristic, complemented
1059#388C2×D4311yescharacteristic, complemented
1060#388C2×D4311yescharacteristic, complemented
1061#388C2×D4311yescharacteristic, complemented
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#386C2×D4311yescharacteristic
1093#386C2×D4311yescharacteristic
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#382C2×D4311yescharacteristic, complemented
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—
1126C25—431no—
1127C25—431no—
1128C22×Q8C22×D4311yescharacteristic
1129C22×D4—431no—
1130C22×D4—431no—
1131C22×D4—431no—
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—864no—
1146C22×D4—864no—
1147C22×D4—864no—
1148C22×D4—864no—
1149C22×D4—1722no—
1150C22×D4—1722no—
1151C22×D4C22×D4311yescharacteristic
1152C22×D4C22×D4311yescharacteristic
1153C22×D4C22×D4311yescharacteristic
1154C23×C4—431no—
1155C23×C4—431no—
1156C23×C4—431no—
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—431no—
1166C23×C4—431no—
1167C23×C4—431no—
1168C23×C4—864no—
1169C23×C4—864no—
1170C23×C4—1722no—
1171C23×C4—1722no—
1172C23×C4—1722no—
1173C23×C4—1722no—
1174C23×C4C22×D4311yescharacteristic
1175C23×C4C22×D4311yescharacteristic
1176C23×C4C22×D4311yescharacteristic
1177#126—864no—
1178#126—864no—
1179#124—24no—
1180#124—864no—
1181#123—864no—
1182#123—864no—
1183#123—1722no—
1184C22⋊Q8—42no—
1185C22⋊Q8—864no—
1186#121—42no—
1187#121—864no—
1188#121—864no—
1189#121—864no—
1190#121—864no—
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—864no—
1228C2×C4⋊C4C22×D4311yescharacteristic
1229C2×C4⋊C4C22×D4311yescharacteristic
1230C2×C4⋊C4C22×D4311yescharacteristic
1231C2×C4⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
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—864no—
1277C2×C22⋊C4—864no—
1278C2×C22⋊C4—864no—
1279C2×C22⋊C4—1722no—
1280C2×C22⋊C4—1722no—
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—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#95C22×D4311yescharacteristic
1326#95C22×D4311yescharacteristic
1327#95C22×D4311yescharacteristic
1328#95C22×D4311yescharacteristic
1329#95C22×D4311yescharacteristic
1330#95C22×D4311yescharacteristic
1331#95C22×D4311yescharacteristic
1332#95C22×D4311yescharacteristic
1333C24—431no—
1334C24—431no—
1335C24—431no—
1336C24—431no—
1337C24—434no—
1338C24—431no—
1339C24—862no—
1340C24—862no—
1341C24—862no—
1342C24—862no—
1343C24—862no—
1344C24—862no—
1345C24—862no—
1346C24—862no—
1347C24—862no—
1348C24—862no—
1349C24—862no—
1350C24—862no—
1351C24—1721no—
1352C24—1721no—
1353C24—1721no—
1354C24—1721no—
1355C24—1721no—
1356C24—1721no—
1357C24—1721no—
1358C24—1721no—
1359C24C23×D4311yescharacteristic
1360C24C23×D4311yescharacteristic
1361C24C23×D4311yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—434no—
1375C2×D4—434no—
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—8632no—
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—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—862no—
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—1721no—
1422C2×D4—1721no—
1423C2×D4—17216no—
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—41no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—434no—
1436C22×C4—434no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—431no—
1441C22×C4—431no—
1442C22×C4—431no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—862no—
1447C22×C4—862no—
1448C22×C4—862no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—862no—
1456C22×C4—862no—
1457C22×C4—862no—
1458C22×C4—862no—
1459C22×C4—862no—
1460C22×C4—862no—
1461C22×C4—862no—
1462C22×C4—862no—
1463C22×C4—862no—
1464C22×C4—1721no—
1465C22×C4—1721no—
1466C22×C4—1721no—
1467C22×C4—1721no—
1468C22×C4—1721no—
1469C22×C4—1721no—
1470C22×C4—1721no—
1471C22×C4—1721no—
1472C22×C4—1721no—
1473C22×C4—1721no—
1474C22×C4—1721no—
1475C22×C4—1721no—
1476C22×C4—1721no—
1477C22×C4—1721no—
1478C22×C4—1721no—
1479C22×C4—1721no—
1480C22×C4—1721no—
1481C22×C4—1721no—
1482C22×C4—17216no—
1483C22×C4—17216no—
1484C22×C4—1721no—
1485C22×C4—1721no—
1486C22×C4—1721no—
1487C22×C4—1721no—
1488C22×C4C23×D4311yescharacteristic
1489C22×C4C23×D4311yescharacteristic
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—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—434no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—862no—
1511C4⋊C4—862no—
1512C4⋊C4—862no—
1513C4⋊C4—862no—
1514C4⋊C4—862no—
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—22no—
1529C22⋊C4—22no—
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—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⋊C4—1721no—
1575C22⋊C4—1721no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—862no—
1580C42—1721no—
1581C42—1721no—
1582C42D4×D4314yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—432no—
1602C23—432no—
1603C23—432no—
1604C23—432no—
1605C23—432no—
1606C23—432no—
1607C23—868no—
1608C23—868no—
1609C23—861no—
1610C23—861no—
1611C23—861no—
1612C23—861no—
1613C23—861no—
1614C23—861no—
1615C23—861no—
1616C23—861no—
1617C23—861no—
1618C23—861no—
1619C23—861no—
1620C23—861no—
1621C23—861no—
1622C23—861no—
1623C23—861no—
1624C23—861no—
1625C23—861no—
1626C23—861no—
1627C23—861no—
1628C23—861no—
1629C23—861no—
1630C23—861no—
1631C23—868no—
1632C23—861no—
1633C23—861no—
1634C23—861no—
1635C23—861no—
1636C23—861no—
1637C23—861no—
1638C23—861no—
1639C23—3442no—
1640C23—3442no—
1641C23—3442no—
1642C23—3442no—
1643C23—1724no—
1644C23—1724no—
1645C23—1724no—
1646C23—1724no—
1647C23—1724no—
1648C23—1724no—
1649C23—1724no—
1650C23—1724no—
1651C23—1724no—
1652C23—1724no—
1653C23—1724no—
1654C23—1724no—
1655C23—1724no—
1656C23—1724no—
1657C23#41×D4312yes—
1658C23#1306337012yes—
1659C23#1306337112yes—
1660C23C24×D4311yescharacteristic
1661Q8—82no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—868no—
1666D4—868no—
1667D4—868no—
1668D4—868no—
1669D4—3442no—
1670D4—3442no—
1671D4—3442no—
1672D4—3442no—
1673D4—3442no—
1674D4—3442no—
1675D4—3442no—
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—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—432no—
1716C2×C4—432no—
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—3442no—
1749C2×C4—3442no—
1750C2×C4—3442no—
1751C2×C4—1724no—
1752C2×C4—1724no—
1753C2×C4—1724no—
1754C2×C4—1724no—
1755C2×C4—1724no—
1756C2×C4—1724no—
1757C2×C4—1724no—
1758C2×C4—1724no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4—1724no—
1762C2×C4C2×D4×D4312yes—
1763C2×C4C2×D4×D4312yes—
1764C2×C4C2×D4×D4312yes—
1765C2×C4#41×D4312yes—
1766C2×C4#1306337112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—434no—
1788C22—862no—
1789C22—862no—
1790C22—862no—
1791C22—862no—
1792C22—862no—
1793C22—862no—
1794C22—862no—
1795C22—862no—
1796C22—862no—
1797C22—862no—
1798C22—862no—
1799C22—862no—
1800C22—862no—
1801C22—862no—
1802C22—862no—
1803C22—3448no—
1804C22—17216no—
1805C22—17216no—
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—1721no—
1825C22#1458348314yescomplemented
1826C22C22×D4×D4311yescharacteristic
1827C22C2×#41×D4311yescharacteristic
1828C22C2×#41×D4311yescharacteristic
1829C22C2×#1306337011yescharacteristic
1830C22C2×#1306337111yescharacteristic
1831C22C2×#1306337111yescharacteristic
1832C22#1458373511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
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—81no—
1858C2—81no—
1859C2—864no—
1860C2—3441no—
1861C2—1722no—
1862C2—1722no—
1863C2—1722no—
1864C2#525×D4311yescharacteristic
1865C2C2×#1458348311yescharacteristic
1866C2#1914800511yescharacteristic
1867C2#1914822811yescharacteristic
1868C2#1914826011yescharacteristic
1869C2#1914853911yescharacteristic
1870C2#1914862211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2850C2
hypercenter#2850D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C2×#14583483C2semidirect
2. C22×C4×D172C2semidirect
3. #19142910C2semidirect
4. #19142886C2semidirect
5. #19142876C2semidirect
6. #19140494C2semidirect
7. #19140486C2semidirect
8. #19140448C2semidirect
9. #19140442C2semidirect
10. #19138855C2semidirect
11. #19138728C2semidirect
12. #19138645C2semidirect
13. #19138539C2semidirect
14. #19138493C2semidirect
15. #19138484C2semidirect
16. #19138416C2semidirect
17. #19138352C2semidirect
18. #19138328C2semidirect
19. #19138258C2semidirect
20. #19138138C2semidirect
21. #19138137C2semidirect
22. #19138062C2semidirect
23. #19137972C2semidirect
24. #19137966C2semidirect
25. #19137907C2semidirect
26. #19137299C2semidirect
27. #19137257C2semidirect
28. #19137231C2semidirect
29. #19137100C2semidirect
30. #386×D43C2semidirect
31. C43×#2850C2semidirect
35. C23×C4×D43C22semidirect
37. C2×#13063319C22semidirect
38. C2×#13063318C22semidirect
39. C2×#13063314C22semidirect
40. C2×#13063309C22semidirect
41. C2×#13063307C22semidirect
42. C2×#13063307C22semidirect
43. C2×#13063301C22semidirect
46. C2×#13063298C22semidirect
47. C2×#13063298C22semidirect
49. C2×#13063297C22semidirect
55. C2×#13063293C22semidirect
56. C2×#13063293C22semidirect
62. C2×C4×D172C22semidirect
63. C2×C4×D172C22semidirect
64. C2×C4×D172C22semidirect
65. C2×C4×D172C22semidirect
66. C2×D4×Dic43C22semidirect
67. C2×(C22⋊D43)⋊C4C22semidirect
68. C2×(C22⋊D43)⋊C4C22semidirect
69. C22×C4⋊Dic43C22semidirect
71. C22×(C2×D43)⋊C4C22semidirect
73. C2×C22⋊C4×D43C22semidirect
74. C2×C22⋊C4×D43C22semidirect
75. #14582841C22semidirect
76. #14582839C22semidirect
77. #14582836C22semidirect
78. #14582834C22semidirect
79. #14582831C22semidirect
80. #14582825C22semidirect
81. #14582824C22semidirect
82. #14582824C22semidirect
83. #14582822C22semidirect
84. #14582821C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582817C22semidirect
88. #14582817C22semidirect
89. #14582816C22semidirect
90. #14582816C22semidirect
91. #14582816C22semidirect
92. #14582815C22semidirect
93. #14582815C22semidirect
94. #14582814C22semidirect
95. #14582814C22semidirect
96. #14582810C22semidirect
97. #14582810C22semidirect
102. #14582808C22semidirect
103. #14582808C22semidirect
104. #14582808C22semidirect
105. #14582807C22semidirect
106. #14582807C22semidirect
107. #14582800C22semidirect
108. #14582799C22semidirect
109. #14582792C22semidirect
110. #14582791C22semidirect
111. #14582790C22semidirect
112. #14582790C22semidirect
113. #14582790C22semidirect
114. #14582789C22semidirect
115. #14582789C22semidirect
116. #14582789C22semidirect
117. #14582786C22semidirect
118. #14582784C22semidirect
119. #14582784C22semidirect
120. #14582783C22semidirect
121. #14582783C22semidirect
122. #14582783C22semidirect
132. #14582777C22semidirect
133. #14582777C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
137. #14582776C22semidirect
138. #14582775C22semidirect
139. #14582775C22semidirect
140. #14582775C22semidirect
141. #14582775C22semidirect
142. #14582775C22semidirect
143. #14582775C22semidirect
144. #14582775C22semidirect
145. #14582775C22semidirect
146. #14582775C22semidirect
147. #14582774C22semidirect
148. #14582774C22semidirect
149. #14582773C22semidirect
150. #14582773C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
153. #14582772C22semidirect
154. #14582772C22semidirect
155. #14582772C22semidirect
156. #14582770C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582767C22semidirect
160. #14582761C22semidirect
161. #14582761C22semidirect
162. #14582758C22semidirect
163. #14582758C22semidirect
164. #14582757C22semidirect
165. #14582756C22semidirect
167. #14582754C22semidirect
168. #14582754C22semidirect
169. C22⋊C4×Dic43C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
174. C2×#124×C43C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
177. C22×C42×C43C22semidirect
178. C43×#391C22semidirect
179. C43×#390C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
186. C43×#386C22semidirect
187. C43×#386C22semidirect
188. C43×#382C22semidirect
261. C4×D172D4semidirect
563. C2×C4×D43C2×D4semidirect
583. C42×C43C2×D4semidirect
627. (C2×D43)⋊C4C2×D4semidirect
634. C4⋊Dic43C2×D4semidirect
852. C22×C43#538semidirect
924. #2850D43semidirect
975. C2×#124C2×D43semidirect
980. C2×C22⋊Q8C2×D43semidirect
1013. C22×C42C2×D43semidirect
1046. #391C2×D43semidirect
1049. #390C2×D43semidirect
1058. #388C2×D43semidirect
1059. #388C2×D43semidirect
1060. #388C2×D43semidirect
1061. #388C2×D43semidirect
1094. #386C2×D43semidirect
1095. #386C2×D43semidirect
1109. #382C2×D43semidirect
1124. C43#34990semidirect
1582. C42D4×D43semidirect
1825. C22#14583483semidirect

Maximal subgroups

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

subgroupindex
C2×#145834832
C22×C4×D1722
#191429102
#191428862
#191428762
#191404942
#191404862
#191404482
#191404422
#191388552
#191387282
#191386452
#191385392
#191384932
#191384842
#191384162
#191383522
#191383282
#191382582
#191381382
#191381372
#191380622
#191379722
#191379662
#191379072
#191372992
#191372572
#191372312
#191371002
#386×D432
C43×#28502
#3499043