Finite Group Databasebeta

← #25303953

Subgroups — #25303953

Order 11008.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583464C211yesmaximal, characteristic, complemented
2C2×#14583461C211yesmaximal, characteristic, complemented
3#19142878C211yesmaximal, characteristic, complemented
4#19142876C211yesmaximal, characteristic, complemented
5#19141436C211yesmaximal, characteristic, complemented
6#19141328C211yesmaximal, characteristic, complemented
7#19141319C211yesmaximal, characteristic, complemented
8#19141315C211yesmaximal, characteristic, complemented
9#19141035C211yesmaximal, characteristic, complemented
10#19141031C211yesmaximal, characteristic, complemented
11#19141005C211yesmaximal, characteristic, complemented
12#19141001C211yesmaximal, characteristic, complemented
13#19140977C211yesmaximal, characteristic, complemented
14#19140865C211yesmaximal, characteristic, complemented
15#19140861C211yesmaximal, characteristic, complemented
16#19140835C211yesmaximal, characteristic, complemented
17#19140831C211yesmaximal, characteristic, complemented
18#19140811C211yesmaximal, characteristic, complemented
19#19140805C211yesmaximal, characteristic, complemented
20#19140802C211yesmaximal, characteristic, complemented
21#19140335C211yesmaximal, characteristic, complemented
22#19140332C211yesmaximal, characteristic, complemented
23#19139035C211yesmaximal, characteristic, complemented
24#19139035C211yesmaximal, characteristic, complemented
25#19138203C211yesmaximal, characteristic, complemented
26#19138203C211yesmaximal, characteristic, complemented
27#19137991C211yesmaximal, characteristic, complemented
28#19137970C211yesmaximal, characteristic, complemented
29#19137963C211yesmaximal, characteristic, complemented
30C2×#14582775C211yesmaximal, characteristic, complemented
31C43×#2412C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic, complemented
33C23×C22⋊D43C2211yescharacteristic
34C23×C22⋊D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic, complemented
36#14583464—28no—
37#14583461—28no—
38C2×#13063321C2211yescharacteristic
39C2×#13063321C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic
41C2×#13063311C2211yescharacteristic, complemented
42C2×#13063309C2211yescharacteristic
43C2×#13063309C2211yescharacteristic
44C2×#13063309C2211yescharacteristic
45C2×#13063309C2211yescharacteristic
46C2×#13063308C2211yescharacteristic, complemented
47C2×#13063300C2211yescharacteristic, complemented
48C2×#13063300C2211yescharacteristic, complemented
49C2×#13063299C2211yescharacteristic
50C2×#13063299C2211yescharacteristic
51C2×#13063299C2211yescharacteristic
52C2×#13063299C2211yescharacteristic
53C2×#13063299C2211yescharacteristic
54C2×#13063299C2211yescharacteristic
55C2×#13063298C2211yescharacteristic
56C2×#13063298C2211yescharacteristic, complemented
57C2×#13063298C2211yescharacteristic, complemented
58C2×#13063298C2211yescharacteristic, complemented
59C2×#13063297C2211yescharacteristic
60C2×#13063297C2211yescharacteristic
61C2×#13063297C2211yescharacteristic
62C2×#13063297C2211yescharacteristic, complemented
63C2×#13063295C2211yescharacteristic
64C2×#13063295C2211yescharacteristic
65C2×#13063295C2211yescharacteristic
66C2×#13063295C2211yescharacteristic
67C2×#13063295C2211yescharacteristic, complemented
68C2×#13063295C2211yescharacteristic, complemented
69C2×#13063294C2211yescharacteristic
70C2×#13063293C2211yescharacteristic, complemented
71C2×#13063293C2211yescharacteristic, complemented
72C2×#13063281C2211yescharacteristic, complemented
73C22×C22⋊Dic43C2211yescharacteristic
74C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
75#14582841C2211yescharacteristic, complemented
76#14582841C2211yescharacteristic, complemented
77#14582834C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582828C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582827C2211yescharacteristic, complemented
87#14582826C2211yescharacteristic, complemented
88#14582826C2211yescharacteristic, complemented
89#14582820C2211yescharacteristic, complemented
90#14582820C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic, complemented
92#14582817C2211yescharacteristic, complemented
93#14582816C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic, complemented
95#14582816C2211yescharacteristic, complemented
96#14582816C2211yescharacteristic, complemented
97#14582815C2211yescharacteristic, complemented
98#14582815C2211yescharacteristic, complemented
99#14582815C2211yescharacteristic, complemented
100#14582815C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582814C2211yescharacteristic, complemented
104#14582814C2211yescharacteristic, complemented
105#14582814C2211yescharacteristic, complemented
106#14582814C2211yescharacteristic, complemented
107#14582812C2211yescharacteristic, complemented
108#14582812C2211yescharacteristic, complemented
109#14582809C2211yescharacteristic, complemented
110#14582809C2211yescharacteristic, complemented
111#14582808C2211yescharacteristic, complemented
112#14582808C2211yescharacteristic, complemented
113#14582808C2211yescharacteristic, complemented
114#14582808C2211yescharacteristic, complemented
115#14582808C2211yescharacteristic, complemented
116#14582808C2211yescharacteristic, complemented
117#14582807C2211yescharacteristic, complemented
118#14582807C2211yescharacteristic, complemented
119#14582789C2211yescharacteristic, complemented
120#14582789C2211yescharacteristic, complemented
121#14582788C2211yescharacteristic, complemented
122#14582788C2211yescharacteristic, complemented
123#14582786C2211yescharacteristic, complemented
124#14582786C2211yescharacteristic, complemented
125#14582785C2211yescharacteristic, complemented
126#14582785C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic, complemented
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic, complemented
131#14582777C2211yescharacteristic, complemented
132#14582777C2211yescharacteristic, complemented
133#14582777C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582777C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic, complemented
138#14582777C2211yescharacteristic, complemented
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic
141#14582776C2211yescharacteristic, complemented
142#14582776C2211yescharacteristic, complemented
143#14582776C2211yescharacteristic, complemented
144#14582776C2211yescharacteristic, complemented
145#14582776C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582775C2211yescharacteristic, complemented
151#14582775C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582775C2211yescharacteristic, complemented
156#14582774C2211yescharacteristic, complemented
157#14582774C2211yescharacteristic, complemented
158#14582774C2211yescharacteristic, complemented
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582772C2211yescharacteristic, complemented
162#14582771C2211yescharacteristic, complemented
163#14582762C2211yescharacteristic, complemented
164#14582758C2211yescharacteristic, complemented
165#14582758C2211yescharacteristic, complemented
166#14582757C2211yescharacteristic, complemented
167#14582757C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582756C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C2×C43⋊#95C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic, complemented
175C2×#120×C43C2211yescharacteristic
176C22×C22⋊C4×C43C2211yescharacteristic
177C22×C22⋊C4×C43C2211yescharacteristic
178C43×#397C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#385C2211yescharacteristic, complemented
186C43×#381C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C2×#10621900—24no—
192C2×#10621900—42no—
193C2×#10621900—42no—
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×C22⋊D43—24no—
204C22×C22⋊D43—42no—
205C22×C22⋊D43—42no—
206C22×C22⋊D43—42no—
207C22×C22⋊D43—42no—
208C22×C22⋊D43D418yescomplemented
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C22×C22⋊D43C2311yescharacteristic
218C22×C22⋊D43C2311yescharacteristic
219C22×C22⋊D43C2311yescharacteristic
220C22×C22⋊D43C2311yescharacteristic
221C22×C22⋊D43C2311yescharacteristic
222C22×C22⋊D43C2311yescharacteristic
223C22×C22⋊D43C2311yescharacteristic
224C22×C22⋊D43C2311yescharacteristic
225C23×Dic43C2311yescharacteristic
226C23×Dic43C2311yescharacteristic
227C23×Dic43C2311yescharacteristic
228C23×Dic43C2311yescharacteristic
229C23×Dic43C2311yescharacteristic
230C22×C4×D43—42no—
231C22×C4×D43—42no—
232C22×C4×D43—42no—
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2311yescharacteristic
238#13063321—24no—
239#13063321—24no—
240#13063311—24no—
241#13063311—24no—
242#13063309—24no—
243#13063309—24no—
244#13063309—24no—
245#13063309—24no—
246#13063308—42no—
247#13063300—42no—
248#13063300—42no—
249#13063299—24no—
250#13063299—24no—
251#13063299—24no—
252#13063299—24no—
253#13063299—42no—
254#13063299—42no—
255#13063298—24no—
256#13063298—24no—
257#13063298—42no—
258#13063298—42no—
259#13063297—24no—
260#13063297—24no—
261#13063297—42no—
262#13063297—42no—
263#13063295—24no—
264#13063295—24no—
265#13063295—24no—
266#13063295—24no—
267#13063295—24no—
268#13063295—42no—
269#13063294—24no—
270#13063293—24no—
271#13063293—42no—
272#13063281—24no—
273C2×C4⋊Dic43C2311yescharacteristic
274C2×C4⋊Dic43C2311yescharacteristic
275C2×C4⋊Dic43C2311yescharacteristic
276C2×C4⋊Dic43C2311yescharacteristic
277C2×C4⋊Dic43C2311yescharacteristic
278C2×C4⋊Dic43C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
285C2×Dic43⋊C4C2311yescharacteristic
286C2×Dic43⋊C4C2311yescharacteristic
287C2×C22⋊Dic43—42no—
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
297C2×(C2×D43)⋊C4—42no—
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
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic
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
358C25×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C23×C4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365C23×C4×C43C2311yescharacteristic
366#123×C43—42no—
367#120×C43—24no—
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43—24no—
373C2×C22⋊C4×C43—42no—
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×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—41no—
400C24×C43—41no—
401C24×C43—41no—
402C24×C43—41no—
403C24×C43C2×D414yes—
404C24×C43C2411yescharacteristic
405C24×C43C2411yescharacteristic
406C24×C43C2411yescharacteristic
407C24×C43C2411yescharacteristic
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—41no—
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—41no—
421C23×D43C2×D414yes—
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C23×D43C2411yescharacteristic
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C2×D4×C43—41no—
435C2×D4×C43—41no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
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—22no—
473C2×C22⋊D43—22no—
474C2×C22⋊D43—22no—
475C2×C22⋊D43—22no—
476C2×C22⋊D43—416no—
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—
486C2×C22⋊D43—41no—
487C2×C22⋊D43—41no—
488C2×C22⋊D43—41no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C2×C22⋊D43—41no—
498C2×C22⋊D43—41no—
499C2×C22⋊D43—41no—
500C2×C22⋊D43—41no—
501C2×C22⋊D43—41no—
502C2×C22⋊D43—41no—
503C2×C22⋊D43—41no—
504C2×C22⋊D43—416no—
505C2×C22⋊D43C2×D414yes—
506C2×C22⋊D43C2×D414yes—
507C2×C22⋊D43C2×D414yes—
508C2×C22⋊D43C2×D414yes—
509C22×Dic43—22no—
510C22×Dic43—22no—
511C22×Dic43—22no—
512C22×Dic43—22no—
513C22×Dic43—22no—
514C22×Dic43—22no—
515C22×Dic43—22no—
516C22×Dic43—41no—
517C22×Dic43—41no—
518C22×Dic43—41no—
519C22×Dic43—41no—
520C22×Dic43—41no—
521C22×Dic43—41no—
522C22×Dic43—41no—
523C22×Dic43C2×D414yes—
524C22×Dic43C2411yescharacteristic
525C22×Dic43C2411yescharacteristic
526C22×Dic43C2411yescharacteristic
527C22×Dic43C2411yescharacteristic
528C22×Dic43C2411yescharacteristic
529C22×Dic43C2411yescharacteristic
530C22×Dic43C2411yescharacteristic
531C22×Dic43C2411yescharacteristic
532C22×Dic43C2411yescharacteristic
533C22×Dic43C2411yescharacteristic
534C22×Dic43C2411yescharacteristic
535#10621900—416no—
536C2×D172—22no—
537C2×D172—22no—
538C2×D172—22no—
539C2×D172—22no—
540C2×D172—22no—
541C2×D172—22no—
542C2×D172—22no—
543C2×D172—41no—
544C2×D172—41no—
545C2×D172—41no—
546C2×D172—41no—
547C2×D172—41no—
548C2×D172—41no—
549C2×D172—41no—
550C2×D172—41no—
551C2×D172—41no—
552C2×D172—41no—
553C2×D172—41no—
554C2×D172—41no—
555C2×D172—41no—
556C2×D172—41no—
557C2×D172—41no—
558C2×D172—41no—
559C2×D172—41no—
560C2×C4×D43—22no—
561C2×C4×D43—22no—
562C2×C4×D43—22no—
563C2×C4×D43—22no—
564C2×C4×D43—22no—
565C2×C4×D43—41no—
566C2×C4×D43—41no—
567C2×C4×D43—41no—
568C2×C4×D43—41no—
569C2×C4×D43—41no—
570C2×C4×D43—41no—
571C2×C4×D43—41no—
572C2×C4×D43—41no—
573C2×C4×D43—41no—
574C2×C4×D43—41no—
575C2×C4×D43—416no—
576C2×Dic86—22no—
577C2×Dic86—41no—
578C2×Dic86—41no—
579C4⋊C4×C43—22no—
580C4⋊C4×C43—41no—
581C4⋊C4×C43—41no—
582C4⋊C4×C43—41no—
583C22⋊C4×C43—22no—
584C22⋊C4×C43—22no—
585C22⋊C4×C43—22no—
586C22⋊C4×C43—22no—
587C22⋊C4×C43—22no—
588C22⋊C4×C43—22no—
589C22⋊C4×C43—22no—
590C22⋊C4×C43—22no—
591C22⋊C4×C43—22no—
592C22⋊C4×C43—22no—
593C22⋊C4×C43—41no—
594C22⋊C4×C43—41no—
595C22⋊C4×C43—41no—
596C22⋊C4×C43—41no—
597C22⋊C4×C43—41no—
598C22⋊Dic43—22no—
599C22⋊Dic43—22no—
600C22⋊Dic43—22no—
601C22⋊Dic43—22no—
602C22⋊Dic43—22no—
603C22⋊Dic43—41no—
604C22⋊Dic43—41no—
605C22⋊Dic43—41no—
606C22⋊Dic43—41no—
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—22no—
620(C2×D43)⋊C4—22no—
621(C2×D43)⋊C4—22no—
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—
628(C2×D43)⋊C4—41no—
629(C2×D43)⋊C4—41no—
630(C2×D43)⋊C4—41no—
631(C2×D43)⋊C4—41no—
632(C2×D43)⋊C4—41no—
633(C2×D43)⋊C4—41no—
634(C2×D43)⋊C4—41no—
635(C2×D43)⋊C4—41no—
636(C2×D43)⋊C4—41no—
637(C2×D43)⋊C4—41no—
638(C2×D43)⋊C4—41no—
639(C2×D43)⋊C4—41no—
640(C2×D43)⋊C4—41no—
641C4⋊Dic43—22no—
642C4⋊Dic43—22no—
643C4⋊Dic43—22no—
644C4⋊Dic43—22no—
645C4⋊Dic43—41no—
646C4⋊Dic43—41no—
647Dic43⋊C4—22no—
648Dic43⋊C4—22no—
649Dic43⋊C4—22no—
650Dic43⋊C4—41no—
651Dic43⋊C4—41no—
652Dic43⋊C4—41no—
653Dic43⋊C4—41no—
654Dic43⋊C4—41no—
655C4×Dic43—22no—
656C4×Dic43—22no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—28no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43—21no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—44no—
682C23×C43—44no—
683C23×C43—82no—
684C23×C43—82no—
685C23×C43—82no—
686C23×C43—82no—
687C23×C43C22×D412yes—
688C23×C43C22×D412yes—
689C23×C43C22×D412yes—
690C23×C43H(5,𝔽2)12yes—
691C23×C43H(5,𝔽2)12yes—
692C23×C43C2511yescharacteristic
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—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—21no—
719C22×D43—21no—
720C22×D43—21no—
721C22×D43—21no—
722C22×D43—21no—
723C22×D43—21no—
724C22×D43—21no—
725C22×D43—21no—
726C22×D43—21no—
727C22×D43—44no—
728C22×D43—44no—
729C22×D43—44no—
730C22×D43—44no—
731C22×D43—44no—
732C22×D43—44no—
733C22×D43—44no—
734C22×D43—82no—
735C22×D43—82no—
736C22×D43—82no—
737C22×D43—82no—
738C22×D43—82no—
739C22×D43—82no—
740C22×D43C22×D412yes—
741C22×D43C22×D412yes—
742D4×C43—44no—
743D4×C43—82no—
744D4×C43—82no—
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—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—44no—
778C2×C4×C43—82no—
779C2×C4×C43—82no—
780C2×C4×C43—82no—
781C2×C4×C43H(5,𝔽2)12yes—
782C22⋊D43—44no—
783C22⋊D43—44no—
784C22⋊D43—44no—
785C22⋊D43—44no—
786C22⋊D43—44no—
787C22⋊D43—44no—
788C22⋊D43—44no—
789C22⋊D43—44no—
790C22⋊D43—44no—
791C22⋊D43—44no—
792C22⋊D43—82no—
793C22⋊D43—82no—
794C22⋊D43—82no—
795C22⋊D43—82no—
796C22⋊D43—82no—
797C22⋊D43—82no—
798C2×Dic43—28no—
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—21no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—44no—
830C2×Dic43—44no—
831C2×Dic43—44no—
832C2×Dic43—82no—
833C2×Dic43C22×D412yes—
834C2×Dic43C22×D412yes—
835C2×Dic43H(5,𝔽2)12yes—
836D172—82no—
837D172—82no—
838D172—82no—
839D172—82no—
840D172—82no—
841D172—82no—
842D172—82no—
843D172—82no—
844C4×D43—44no—
845C4×D43—44no—
846C4×D43—44no—
847C4×D43—44no—
848C4×D43—44no—
849Dic86—44no—
850#36737—431nomaximal, Sylow
851C22×C43—22no—
852C22×C43—22no—
853C22×C43—22no—
854C22×C43—22no—
855C22×C43—22no—
856C22×C43—22no—
857C22×C43—22no—
858C22×C43—22no—
859C22×C43—22no—
860C22×C43—22no—
861C22×C43—22no—
862C22×C43—22no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—88no—
879C22×C43#53414yes—
880C22×C43C23×D411yescharacteristic
881C22×C43C2×H(5,𝔽2)11yescharacteristic
882C22×C43C2×H(5,𝔽2)11yescharacteristic
883C22×C43C2×H(5,𝔽2)11yescharacteristic
884C22×C43C2×H(5,𝔽2)11yescharacteristic
885C22×C43#58511yescharacteristic
886C22×C43#58511yescharacteristic
887C2×D43—22no—
888C2×D43—22no—
889C2×D43—22no—
890C2×D43—22no—
891C2×D43—22no—
892C2×D43—22no—
893C2×D43—416no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C2×D43—41no—
899C2×D43—41no—
900C2×D43—41no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—41no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—41no—
919C2×D43—41no—
920C2×D43—41no—
921C2×D43—41no—
922C2×D43—41no—
923C2×D43—88no—
924C4×C43—22no—
925C4×C43—41no—
926C4×C43—41no—
927C4×C43—41no—
928C4×C43—41no—
929C4×C43—41no—
930C4×C43—41no—
931C4×C43—41no—
932C4×C43—41no—
933C4×C43—41no—
934C4×C43—41no—
935Dic43—22no—
936Dic43—22no—
937Dic43—22no—
938Dic43—41no—
939Dic43—41no—
940Dic43—41no—
941Dic43—41no—
942Dic43—41no—
943Dic43—41no—
944Dic43—41no—
945Dic43—41no—
946C2×#535—431no—
947C2×#534—431no—
948#2847—431no—
949#2847—431no—
950#2717—431no—
951#2709—431no—
952#2708—431no—
953#2708—431no—
954#2688—431no—
955#2688—431no—
956#2686—431no—
957#2686—431no—
958#2684—431no—
959#2673—431no—
960#2673—431no—
961#2671—431no—
962#2671—431no—
963#2669—431no—
964#2668—431no—
965#2668—431no—
966#2617—431no—
967#2617—431no—
968#2498—431no—
969#2498—431no—
970#2430—431no—
971#2430—431no—
972#2412—431no—
973#2412D4311yescharacteristic, complemented
974#2410—431no—
975#2410—431no—
976C2×#386—431no—
977C2×C43—24no—
978C2×C43—42no—
979C2×C43—42no—
980C2×C43—81no—
981C2×C43C2×#53411yescharacteristic
982C2×C43#349611yescharacteristic
983C2×C43#349611yescharacteristic
984C2×C43#353211yescharacteristic
985C2×C43#353311yescharacteristic
986C2×C43#354211yescharacteristic
987C2×C43#354211yescharacteristic
988D43—42no—
989D43—42no—
990D43—81no—
991D43—81no—
992D43—81no—
993C22×#41—431no—
994C23×D4—431no—
995C23×D4—431no—
996C24×C4—431no—
997#535—868no—
998#534—868no—
999C2×#127—431no—
1000C2×#127—431no—
1001C2×#124—431no—
1002C2×#124—431no—
1003C2×#123—431no—
1004C2×#123—431no—
1005C2×#123—431no—
1006C2×#123—431no—
1007C2×#123—431no—
1008C2×#123C2×D4311yescharacteristic, complemented
1009C2×#121—431no—
1010C2×#121—431no—
1011C2×#121—431no—
1012C2×#121—431no—
1013C2×#121—431no—
1014C2×#121—431no—
1015C2×#121—431no—
1016C2×#121—431no—
1017C2×#121—431no—
1018C2×#121—431no—
1019C2×#121—431no—
1020C2×#121—431no—
1021C2×#121—431no—
1022C2×#121—431no—
1023C2×#121—431no—
1024C2×#121—431no—
1025C2×#120—431no—
1026C2×#120—431no—
1027C2×#120—431no—
1028C2×#120—431no—
1029C2×#120—431no—
1030C2×#120—431no—
1031C2×#120—431no—
1032C2×#120—431no—
1033C2×#120—431no—
1034C2×#120C2×D4311yescharacteristic
1035C2×#117—431no—
1036C22×C22⋊C4—431no—
1037C22×C22⋊C4—431no—
1038C22×C22⋊C4C2×D4311yescharacteristic
1039C22×C22⋊C4C2×D4311yescharacteristic
1040#400—431no—
1041#400—431no—
1042#399—431no—
1043#399—431no—
1044#398—431no—
1045#398—431no—
1046#397—431no—
1047#397—431no—
1048#397—431no—
1049#397—431no—
1050#397—431no—
1051#397—431no—
1052#397—431no—
1053#397—431no—
1054#397C2×D4311yescharacteristic, complemented
1055#397C2×D4311yescharacteristic, complemented
1056#395—431no—
1057#395—431no—
1058#394—431no—
1059#394—431no—
1060#394—431no—
1061#394—431no—
1062#394—431no—
1063#394—431no—
1064#394—431no—
1065#394—431no—
1066#394—431no—
1067#394—431no—
1068#394—431no—
1069#394—431no—
1070#394—431no—
1071#394—431no—
1072#394—431no—
1073#394—431no—
1074#394C2×D4311yescharacteristic, complemented
1075#394C2×D4311yescharacteristic, complemented
1076#393—431no—
1077#393—431no—
1078#392—431no—
1079#392—431no—
1080#392—431no—
1081#392—431no—
1082#392—431no—
1083#392—431no—
1084#392—431no—
1085#392—431no—
1086#392—431no—
1087#392—431no—
1088#388—431no—
1089#388—431no—
1090#388—431no—
1091#388—431no—
1092#387—431no—
1093#387—431no—
1094#387—431no—
1095#387—431no—
1096#386—431no—
1097#386—431no—
1098#386—431no—
1099#386—431no—
1100#386—431no—
1101#386—431no—
1102#386—431no—
1103#386—431no—
1104#386—431no—
1105#386—431no—
1106#386—431no—
1107#386—431no—
1108#386—431no—
1109#386—431no—
1110#386—431no—
1111#386—431no—
1112#386—431no—
1113#386—431no—
1114#386—431no—
1115#386—431no—
1116#386—431no—
1117#386—431no—
1118#386—431no—
1119#386—431no—
1120#386—431no—
1121#386—431no—
1122#386—431no—
1123#386—431no—
1124#386—431no—
1125#386C2×D4311yescharacteristic, complemented
1126#386C2×D4311yescharacteristic, complemented
1127#386C2×D4311yescharacteristic, complemented
1128#385—431no—
1129#385—431no—
1130#385—431no—
1131#385—431no—
1132#385—431no—
1133#385—431no—
1134#385—431no—
1135#385C2×D4311yescharacteristic, complemented
1136#381—431no—
1137#381C2×D4311yescharacteristic, complemented
1138#380—431no—
1139#380—431no—
1140#380—431no—
1141#380—431no—
1142#380—431no—
1143#380—431no—
1144#380C2×D4311yescharacteristic, complemented
1145#380C2×D4311yescharacteristic, complemented
1146#379—431no—
1147#379—431no—
1148C2×#95—431no—
1149C2×#95—431no—
1150C43#3673711yescharacteristic, complemented, Sylow
1151C25—431no—
1152C25—431no—
1153C25C22×D4311yescharacteristic
1154C2×#41—864no—
1155C2×#41—1722no—
1156C2×#41—1722no—
1157C22×Q8—431no—
1158C22×D4—438no—
1159C22×D4—431no—
1160C22×D4—431no—
1161C22×D4—431no—
1162C22×D4—431no—
1163C22×D4—431no—
1164C22×D4—431no—
1165C22×D4—431no—
1166C22×D4—431no—
1167C22×D4—431no—
1168C22×D4—431no—
1169C22×D4—431no—
1170C22×D4—431no—
1171C22×D4—431no—
1172C22×D4—431no—
1173C22×D4—431no—
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—431no—
1179C22×D4—431no—
1180C22×D4—431no—
1181C22×D4—431no—
1182C22×D4—431no—
1183C22×D4—864no—
1184C22×D4—1722no—
1185C22×D4—1722no—
1186C22×D4—1722no—
1187C22×D4—1722no—
1188C22×D4C22×D4311yescharacteristic
1189C22×D4C22×D4311yescharacteristic
1190C22×D4C22×D4311yescharacteristic
1191C23×C4—431no—
1192C23×C4—431no—
1193C23×C4—431no—
1194C23×C4—431no—
1195C23×C4—431no—
1196C23×C4—431no—
1197C23×C4—431no—
1198C23×C4—431no—
1199C23×C4—431no—
1200C23×C4—431no—
1201C23×C4—1722no—
1202C23×C4—1722no—
1203C23×C4—1722no—
1204C23×C4C22×D4311yescharacteristic
1205C23×C4C22×D4311yescharacteristic
1206C23×C4C22×D4311yescharacteristic
1207C23×C4C22×D4311yescharacteristic
1208#127—864no—
1209#127—864no—
1210#124—864no—
1211#124—864no—
1212#123—42no—
1213#123—864no—
1214#123—864no—
1215#123—864no—
1216#123—864no—
1217#123—1722no—
1218#121—864no—
1219#121—864no—
1220#121—864no—
1221#121—864no—
1222#121—864no—
1223#121—864no—
1224#121—864no—
1225#121—864no—
1226#121—1722no—
1227#121—1722no—
1228#121—1722no—
1229#121—1722no—
1230#121—1722no—
1231#121—1722no—
1232#121—1722no—
1233#121—1722no—
1234#120—24no—
1235#120—864no—
1236#120—864no—
1237#120—864no—
1238#120—864no—
1239#120—864no—
1240#120—864no—
1241#120—864no—
1242#120—1722no—
1243#120—1722no—
1244#117—864no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—431no—
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C4⋊C4C22×D4311yescharacteristic
1262C2×C4⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4—24no—
1264C2×C22⋊C4—42no—
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—431no—
1283C2×C22⋊C4—431no—
1284C2×C22⋊C4—431no—
1285C2×C22⋊C4—431no—
1286C2×C22⋊C4—431no—
1287C2×C22⋊C4—431no—
1288C2×C22⋊C4—431no—
1289C2×C22⋊C4—431no—
1290C2×C22⋊C4—431no—
1291C2×C22⋊C4—431no—
1292C2×C22⋊C4—431no—
1293C2×C22⋊C4—431no—
1294C2×C22⋊C4—431no—
1295C2×C22⋊C4—431no—
1296C2×C22⋊C4—431no—
1297C2×C22⋊C4—431no—
1298C2×C22⋊C4—431no—
1299C2×C22⋊C4—431no—
1300C2×C22⋊C4—431no—
1301C2×C22⋊C4—431no—
1302C2×C22⋊C4—431no—
1303C2×C22⋊C4—431no—
1304C2×C22⋊C4—431no—
1305C2×C22⋊C4—431no—
1306C2×C22⋊C4—431no—
1307C2×C22⋊C4—431no—
1308C2×C22⋊C4—1722no—
1309C2×C22⋊C4—1722no—
1310C2×C22⋊C4C22×D4311yescharacteristic
1311C2×C22⋊C4C22×D4311yescharacteristic
1312C2×C22⋊C4C22×D4311yescharacteristic
1313C2×C22⋊C4C22×D4311yescharacteristic
1314C2×C22⋊C4C22×D4311yescharacteristic
1315C2×C22⋊C4C22×D4311yescharacteristic
1316C2×C22⋊C4C22×D4311yescharacteristic
1317C2×C22⋊C4C22×D4311yescharacteristic
1318C2×C22⋊C4C22×D4311yescharacteristic
1319C2×C22⋊C4C22×D4311yescharacteristic
1320C2×C22⋊C4C22×D4311yescharacteristic
1321C2×C22⋊C4C22×D4311yescharacteristic
1322C2×C22⋊C4C22×D4311yescharacteristic
1323C2×C22⋊C4C22×D4311yescharacteristic
1324C2×C22⋊C4C22×D4311yescharacteristic
1325C2×C42—431no—
1326C2×C42—431no—
1327#95—431no—
1328#95—431no—
1329#95—431no—
1330#95—431no—
1331#95—431no—
1332#95—431no—
1333#95—431no—
1334#95—431no—
1335#95—431no—
1336#95—431no—
1337#95—431no—
1338#95—431no—
1339#95—431no—
1340#95—431no—
1341#95—431no—
1342#95—431no—
1343#95—431no—
1344#95—431no—
1345#95—431no—
1346#95—431no—
1347#95—431no—
1348#95—431no—
1349#95—431no—
1350#95—431no—
1351#95C22×D4311yescharacteristic
1352#95C22×D4311yescharacteristic
1353#95C22×D4311yescharacteristic
1354#95C22×D4311yescharacteristic
1355#95C22×D4311yescharacteristic
1356#95C22×D4311yescharacteristic
1357#95C22×D4311yescharacteristic
1358#95C22×D4311yescharacteristic
1359C24—22no—
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—431no—
1366C24—431no—
1367C24—434no—
1368C24—431no—
1369C24—431no—
1370C24—431no—
1371C24—862no—
1372C24—862no—
1373C24—862no—
1374C24—1721no—
1375C24—1721no—
1376C24—1721no—
1377C24—1721no—
1378C24—1721no—
1379C24—1721no—
1380C24—1721no—
1381C24—1721no—
1382C24—1721no—
1383C24—1721no—
1384C24D4×D4314yes—
1385C24C23×D4311yescharacteristic
1386C24C23×D4311yescharacteristic
1387C24C23×D4311yescharacteristic
1388C24C23×D4311yescharacteristic
1389#41—17216no—
1390C2×Q8—862no—
1391C2×Q8—1721no—
1392C2×Q8—1721no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—434no—
1403C2×D4—434no—
1404C2×D4—434no—
1405C2×D4—434no—
1406C2×D4—862no—
1407C2×D4—862no—
1408C2×D4—862no—
1409C2×D4—862no—
1410C2×D4—862no—
1411C2×D4—862no—
1412C2×D4—862no—
1413C2×D4—862no—
1414C2×D4—862no—
1415C2×D4—862no—
1416C2×D4—862no—
1417C2×D4—862no—
1418C2×D4—862no—
1419C2×D4—862no—
1420C2×D4—862no—
1421C2×D4—862no—
1422C2×D4—862no—
1423C2×D4—862no—
1424C2×D4—862no—
1425C2×D4—862no—
1426C2×D4—862no—
1427C2×D4—862no—
1428C2×D4—862no—
1429C2×D4—862no—
1430C2×D4—1721no—
1431C2×D4—1721no—
1432C2×D4—1721no—
1433C2×D4—1721no—
1434C2×D4—1721no—
1435C2×D4—1721no—
1436C2×D4—1721no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4—1721no—
1442C2×D4—1721no—
1443C2×D4—1721no—
1444C2×D4—1721no—
1445C2×D4—1721no—
1446C2×D4—1721no—
1447C2×D4—1721no—
1448C2×D4—1721no—
1449C2×D4—1721no—
1450C2×D4—1721no—
1451C2×D4—1721no—
1452C2×D4—1721no—
1453C2×D4—1721no—
1454C2×D4—1721no—
1455C2×D4—1721no—
1456C2×D4—1721no—
1457C2×D4—1721no—
1458C2×D4—1721no—
1459C2×D4—1721no—
1460C2×D4—17216no—
1461C2×D4—1721no—
1462C2×D4—1721no—
1463C2×D4—1721no—
1464C2×D4—1721no—
1465C2×D4—1721no—
1466C2×D4—1721no—
1467C2×D4—1721no—
1468C2×D4—1721no—
1469C2×D4—1721no—
1470C2×D4—1721no—
1471C2×D4—1721no—
1472C2×D4—1721no—
1473C2×D4—1721no—
1474C2×D4—1721no—
1475C2×D4—17216no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—434no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—431no—
1494C22×C4—431no—
1495C22×C4—431no—
1496C22×C4—431no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—862no—
1501C22×C4—862no—
1502C22×C4—862no—
1503C22×C4—862no—
1504C22×C4—862no—
1505C22×C4—862no—
1506C22×C4—862no—
1507C22×C4—862no—
1508C22×C4—862no—
1509C22×C4—862no—
1510C22×C4—862no—
1511C22×C4—862no—
1512C22×C4—1721no—
1513C22×C4—1721no—
1514C22×C4—1721no—
1515C22×C4—1721no—
1516C22×C4—1721no—
1517C22×C4—1721no—
1518C22×C4—1721no—
1519C22×C4—1721no—
1520C22×C4—1721no—
1521C22×C4—1721no—
1522C22×C4—17216no—
1523C22×C4—1721no—
1524C22×C4—1721no—
1525C22×C4—1721no—
1526C22×C4—1721no—
1527C22×C4—1721no—
1528C22×C4—1721no—
1529C22×C4—1721no—
1530C22×C4C23×D4311yescharacteristic
1531C22×C4C23×D4311yescharacteristic
1532C22×C4C23×D4311yescharacteristic
1533C22×C4C23×D4311yescharacteristic
1534C22×C4C23×D4311yescharacteristic
1535C22×C4C23×D4311yescharacteristic
1536C22×C4C23×D4311yescharacteristic
1537C22×C4C23×D4311yescharacteristic
1538C22×C4C23×D4311yescharacteristic
1539C22×C4C23×D4311yescharacteristic
1540C22×C4C23×D4311yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—41no—
1545C4⋊C4—862no—
1546C4⋊C4—862no—
1547C4⋊C4—862no—
1548C4⋊C4—862no—
1549C4⋊C4—862no—
1550C4⋊C4—862no—
1551C4⋊C4—862no—
1552C4⋊C4—1721no—
1553C4⋊C4—1721no—
1554C4⋊C4—1721no—
1555C4⋊C4—1721no—
1556C4⋊C4—1721no—
1557C4⋊C4—1721no—
1558C4⋊C4—1721no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—862no—
1575C22⋊C4—862no—
1576C22⋊C4—862no—
1577C22⋊C4—862no—
1578C22⋊C4—862no—
1579C22⋊C4—862no—
1580C22⋊C4—862no—
1581C22⋊C4—862no—
1582C22⋊C4—862no—
1583C22⋊C4—862no—
1584C22⋊C4—862no—
1585C22⋊C4—862no—
1586C22⋊C4—862no—
1587C22⋊C4—862no—
1588C22⋊C4—862no—
1589C22⋊C4—862no—
1590C22⋊C4—862no—
1591C22⋊C4—862no—
1592C22⋊C4—862no—
1593C22⋊C4—862no—
1594C22⋊C4—1721no—
1595C22⋊C4—1721no—
1596C22⋊C4—1721no—
1597C22⋊C4—1721no—
1598C22⋊C4—1721no—
1599C22⋊C4—1721no—
1600C22⋊C4—1721no—
1601C22⋊C4—1721no—
1602C22⋊C4—1721no—
1603C22⋊C4—1721no—
1604C22⋊C4—1721no—
1605C22⋊C4—1721no—
1606C22⋊C4—1721no—
1607C22⋊C4—1721no—
1608C22⋊C4—1721no—
1609C22⋊C4—1721no—
1610C22⋊C4—1721no—
1611C22⋊C4—1721no—
1612C22⋊C4—1721no—
1613C22⋊C4—1721no—
1614C22⋊C4—1721no—
1615C22⋊C4—1721no—
1616C22⋊C4—1721no—
1617C42—862no—
1618C42—862no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—28no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—44no—
1644C23—44no—
1645C23—82no—
1646C23—82no—
1647C23—82no—
1648C23—82no—
1649C23—432no—
1650C23—432no—
1651C23—868no—
1652C23—861no—
1653C23—861no—
1654C23—861no—
1655C23—861no—
1656C23—861no—
1657C23—861no—
1658C23—861no—
1659C23—861no—
1660C23—861no—
1661C23—861no—
1662C23—861no—
1663C23—861no—
1664C23—861no—
1665C23—861no—
1666C23—861no—
1667C23—861no—
1668C23—861no—
1669C23—861no—
1670C23—861no—
1671C23—861no—
1672C23—861no—
1673C23—861no—
1674C23—861no—
1675C23—861no—
1676C23—861no—
1677C23—861no—
1678C23—861no—
1679C23—861no—
1680C23—861no—
1681C23—861no—
1682C23—861no—
1683C23—861no—
1684C23—861no—
1685C23—3442no—
1686C23—3442no—
1687C23—3442no—
1688C23—3442no—
1689C23—3442no—
1690C23—3442no—
1691C23—1724no—
1692C23—1724no—
1693C23—1724no—
1694C23—1724no—
1695C23—1724no—
1696C23—1724no—
1697C23—1724no—
1698C23C2×D4×D4312yes—
1699C23C2×D4×D4312yes—
1700C23C2×D4×D4312yes—
1701C23#1306337112yes—
1702C23#1306337112yes—
1703C23C24×D4311yescharacteristic
1704Q8—1724no—
1705D4—44no—
1706D4—82no—
1707D4—82no—
1708D4—3442no—
1709D4—3442no—
1710D4—3442no—
1711D4—3442no—
1712D4—3442no—
1713D4—3442no—
1714D4—3442no—
1715D4—3442no—
1716D4—3442no—
1717D4—3442no—
1718D4—3442no—
1719D4—3442no—
1720D4—3442no—
1721D4—3442no—
1722D4—1724no—
1723D4—1724no—
1724D4—1724no—
1725D4—1724no—
1726D4—1724no—
1727D4—1724no—
1728D4—1724no—
1729D4—1724no—
1730D4—1724no—
1731D4—1724no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—44no—
1765C2×C4—82no—
1766C2×C4—82no—
1767C2×C4—82no—
1768C2×C4—432no—
1769C2×C4—432no—
1770C2×C4—432no—
1771C2×C4—868no—
1772C2×C4—861no—
1773C2×C4—861no—
1774C2×C4—861no—
1775C2×C4—861no—
1776C2×C4—861no—
1777C2×C4—861no—
1778C2×C4—861no—
1779C2×C4—861no—
1780C2×C4—861no—
1781C2×C4—861no—
1782C2×C4—861no—
1783C2×C4—861no—
1784C2×C4—861no—
1785C2×C4—861no—
1786C2×C4—861no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—861no—
1797C2×C4—861no—
1798C2×C4—861no—
1799C2×C4—861no—
1800C2×C4—861no—
1801C2×C4—861no—
1802C2×C4—3442no—
1803C2×C4—1724no—
1804C2×C4—1724no—
1805C2×C4—1724no—
1806C2×C4—1724no—
1807C2×C4—1724no—
1808C2×C4—1724no—
1809C2×C4—1724no—
1810C2×C4—1724no—
1811C2×C4#1306337012yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—88no—
1840C22—862no—
1841C22—862no—
1842C22—862no—
1843C22—862no—
1844C22—862no—
1845C22—862no—
1846C22—3448no—
1847C22—17216no—
1848C22—1721no—
1849C22—1721no—
1850C22—1721no—
1851C22—1721no—
1852C22—1721no—
1853C22—1721no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—1721no—
1862C22—1721no—
1863C22—1721no—
1864C22—1721no—
1865C22—1721no—
1866C22—1721no—
1867C22—1721no—
1868C22—1721no—
1869C22—1721no—
1870C22—1721no—
1871C22—1721no—
1872C22—1721no—
1873C22—1721no—
1874C22—1721no—
1875C22—1721no—
1876C22—1721no—
1877C22#1458346014yes—
1878C22C22×D4×D4311yescharacteristic
1879C22H(5,𝔽2)×D4311yescharacteristic
1880C22C2×#1306337011yescharacteristic
1881C22C2×#1306337111yescharacteristic
1882C22C2×#1306337111yescharacteristic
1883C22#1458373411yescharacteristic
1884C22#1458373511yescharacteristic
1885C4—22no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—862no—
1897C4—862no—
1898C4—862no—
1899C4—1721no—
1900C4—1721no—
1901C4—1721no—
1902C4—1721no—
1903C4—1721no—
1904C4—1721no—
1905C4—1721no—
1906C4—1721no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—3441no—
1912C2—3441no—
1913C2—3441no—
1914C2—1722no—
1915C2—1722no—
1916C2C2×#1458346011yescharacteristic
1917C2#1914835211yescharacteristic
1918C2#1914835611yescharacteristic
1919C2#1914874411yescharacteristic
1920C2#1914876711yescharacteristic
1921C2#1914889711yescharacteristic
1922C2#1914890411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2412C2
hypercenter#2412D43
hypocenterC43#36737
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#14583464C2semidirect
2. C2×#14583461C2semidirect
3. #19142878C2semidirect
4. #19142876C2semidirect
5. #19141436C2semidirect
6. #19141328C2semidirect
7. #19141319C2semidirect
8. #19141315C2semidirect
9. #19141035C2semidirect
10. #19141031C2semidirect
11. #19141005C2semidirect
12. #19141001C2semidirect
13. #19140977C2semidirect
14. #19140865C2semidirect
15. #19140861C2semidirect
16. #19140835C2semidirect
17. #19140831C2semidirect
18. #19140811C2semidirect
19. #19140805C2semidirect
20. #19140802C2semidirect
21. #19140335C2semidirect
22. #19140332C2semidirect
23. #19139035C2semidirect
24. #19139035C2semidirect
25. #19138203C2semidirect
26. #19138203C2semidirect
27. #19137991C2semidirect
28. #19137970C2semidirect
29. #19137963C2semidirect
30. C2×#14582775C2semidirect
31. C43×#2412C2semidirect
32. C22×#10621900C22semidirect
35. C23×C4×D43C22semidirect
39. C2×#13063321C22semidirect
41. C2×#13063311C22semidirect
46. C2×#13063308C22semidirect
47. C2×#13063300C22semidirect
48. C2×#13063300C22semidirect
56. C2×#13063298C22semidirect
57. C2×#13063298C22semidirect
58. C2×#13063298C22semidirect
62. C2×#13063297C22semidirect
67. C2×#13063295C22semidirect
68. C2×#13063295C22semidirect
70. C2×#13063293C22semidirect
71. C2×#13063293C22semidirect
72. C2×#13063281C22semidirect
74. C22×(C2×D43)⋊C4C22semidirect
75. #14582841C22semidirect
76. #14582841C22semidirect
77. #14582834C22semidirect
78. #14582834C22semidirect
79. #14582832C22semidirect
80. #14582832C22semidirect
81. #14582828C22semidirect
82. #14582828C22semidirect
83. #14582828C22semidirect
84. #14582828C22semidirect
85. #14582827C22semidirect
86. #14582827C22semidirect
87. #14582826C22semidirect
88. #14582826C22semidirect
89. #14582820C22semidirect
90. #14582820C22semidirect
91. #14582817C22semidirect
92. #14582817C22semidirect
93. #14582816C22semidirect
94. #14582816C22semidirect
95. #14582816C22semidirect
96. #14582816C22semidirect
97. #14582815C22semidirect
98. #14582815C22semidirect
99. #14582815C22semidirect
100. #14582815C22semidirect
101. #14582814C22semidirect
102. #14582814C22semidirect
103. #14582814C22semidirect
104. #14582814C22semidirect
105. #14582814C22semidirect
106. #14582814C22semidirect
107. #14582812C22semidirect
108. #14582812C22semidirect
109. #14582809C22semidirect
110. #14582809C22semidirect
111. #14582808C22semidirect
112. #14582808C22semidirect
113. #14582808C22semidirect
114. #14582808C22semidirect
115. #14582808C22semidirect
116. #14582808C22semidirect
117. #14582807C22semidirect
118. #14582807C22semidirect
119. #14582789C22semidirect
120. #14582789C22semidirect
121. #14582788C22semidirect
122. #14582788C22semidirect
123. #14582786C22semidirect
124. #14582786C22semidirect
125. #14582785C22semidirect
126. #14582785C22semidirect
127. #14582779C22semidirect
130. #14582778C22semidirect
131. #14582777C22semidirect
132. #14582777C22semidirect
133. #14582777C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
136. #14582777C22semidirect
137. #14582777C22semidirect
138. #14582777C22semidirect
141. #14582776C22semidirect
142. #14582776C22semidirect
143. #14582776C22semidirect
144. #14582776C22semidirect
145. #14582776C22semidirect
150. #14582775C22semidirect
151. #14582775C22semidirect
152. #14582775C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
155. #14582775C22semidirect
156. #14582774C22semidirect
157. #14582774C22semidirect
158. #14582774C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
161. #14582772C22semidirect
162. #14582771C22semidirect
163. #14582762C22semidirect
164. #14582758C22semidirect
165. #14582758C22semidirect
166. #14582757C22semidirect
167. #14582757C22semidirect
168. #14582756C22semidirect
169. #14582756C22semidirect
170. #14582754C22semidirect
171. #14582754C22semidirect
172. C2×C43⋊#95C22semidirect
173. C2×C43⋊#95C22semidirect
174. C2×#123×C43C22semidirect
178. C43×#397C22semidirect
179. C43×#397C22semidirect
180. C43×#394C22semidirect
181. C43×#394C22semidirect
182. C43×#386C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#385C22semidirect
186. C43×#381C22semidirect
187. C43×#380C22semidirect
188. C43×#380C22semidirect
208. C22×C22⋊D43D4semidirect
973. #2412D43semidirect
1008. C2×#123C2×D43semidirect
1054. #397C2×D43semidirect
1055. #397C2×D43semidirect
1074. #394C2×D43semidirect
1075. #394C2×D43semidirect
1125. #386C2×D43semidirect
1126. #386C2×D43semidirect
1127. #386C2×D43semidirect
1135. #385C2×D43semidirect
1137. #381C2×D43semidirect
1144. #380C2×D43semidirect
1145. #380C2×D43semidirect
1150. C43#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#145834642
C2×#145834612
#191428782
#191428762
#191414362
#191413282
#191413192
#191413152
#191410352
#191410312
#191410052
#191410012
#191409772
#191408652
#191408612
#191408352
#191408312
#191408112
#191408052
#191408022
#191403352
#191403322
#191390352
#191382032
#191379912
#191379702
#191379632
C2×#145827752
C43×#24122
#3673743