Finite Group Databasebeta

← #25303873

Subgroups — #25303873

Order 11008.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142886C211yesmaximal, characteristic, complemented
2#19142874C211yesmaximal, characteristic, complemented
3#19141774C211yesmaximal, characteristic, complemented
4#19141774C211yesmaximal, characteristic, complemented
5#19141748C211yesmaximal, characteristic, complemented
6#19141741C211yesmaximal, characteristic, complemented
7#19141714C211yesmaximal, characteristic, complemented
8#19141500C211yesmaximal, characteristic, complemented
9#19141277C211yesmaximal, characteristic, complemented
10#19141274C211yesmaximal, characteristic, complemented
11#19141211C211yesmaximal, characteristic, complemented
12#19141185C211yesmaximal, characteristic, complemented
13#19141072C211yesmaximal, characteristic, complemented
14#19140992C211yesmaximal, characteristic, complemented
15#19140988C211yesmaximal, characteristic, complemented
16#19140923C211yesmaximal, characteristic, complemented
17#19140798C211yesmaximal, characteristic, complemented
18#19140796C211yesmaximal, characteristic, complemented
19#19140726C211yesmaximal, characteristic, complemented
20#19140117C211yesmaximal, characteristic, complemented
21#19139900C211yesmaximal, characteristic, complemented
22#19139720C211yesmaximal, characteristic, complemented
23#19139720C211yesmaximal, characteristic, complemented
24#19138821C211yesmaximal, characteristic, complemented
25#19138782C211yesmaximal, characteristic, complemented
26#19138702C211yesmaximal, characteristic, complemented
27#19138695C211yesmaximal, characteristic, complemented
28#19137380C211yesmaximal, characteristic, complemented
29#19137356C211yesmaximal, characteristic, complemented
30#19136977C211yesmaximal, characteristic, complemented
31C43×#2671C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063318C2211yescharacteristic
34C2×#13063318C2211yescharacteristic
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063308C2211yescharacteristic
37C2×#13063307C2211yescharacteristic
38C2×#13063307C2211yescharacteristic
39C2×#13063297C2211yescharacteristic
40C2×#13063296C2211yescharacteristic
41C2×#13063296C2211yescharacteristic
42C2×#13063293C2211yescharacteristic
43C2×#13063293C2211yescharacteristic
44C2×#13063293C2211yescharacteristic
45C2×#13063283C2211yescharacteristic
46C2×#13063283C2211yescharacteristic
47C43⋊#401C2211yescharacteristic, complemented
48#14582841C2211yescharacteristic, complemented
49#14582838C2211yescharacteristic, complemented
50#14582838C2211yescharacteristic, complemented
51#14582838C2211yescharacteristic, complemented
52#14582835C2211yescharacteristic, complemented
53#14582834C2211yescharacteristic
54#14582834C2211yescharacteristic
55#14582834C2211yescharacteristic
56#14582833C2211yescharacteristic, complemented
57#14582833C2211yescharacteristic, complemented
58#14582832C2211yescharacteristic, complemented
59#14582832C2211yescharacteristic, complemented
60#14582831C2211yescharacteristic, complemented
61#14582830C2211yescharacteristic, complemented
62#14582827C2211yescharacteristic
63#14582827C2211yescharacteristic
64#14582825C2211yescharacteristic
65#14582824C2211yescharacteristic, complemented
66#14582824C2211yescharacteristic, complemented
67#14582824C2211yescharacteristic, complemented
68#14582823C2211yescharacteristic
69#14582822C2211yescharacteristic, complemented
70#14582822C2211yescharacteristic, complemented
71#14582821C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582815C2211yescharacteristic
74#14582815C2211yescharacteristic
75#14582815C2211yescharacteristic
76#14582814C2211yescharacteristic
77#14582814C2211yescharacteristic
78#14582814C2211yescharacteristic
79#14582813C2211yescharacteristic
80#14582813C2211yescharacteristic
81#14582813C2211yescharacteristic
82#14582813C2211yescharacteristic
83#14582813C2211yescharacteristic, complemented
84#14582813C2211yescharacteristic, complemented
85#14582813C2211yescharacteristic, complemented
86#14582807C2211yescharacteristic
87#14582807C2211yescharacteristic
88#14582807C2211yescharacteristic
89#14582802C2211yescharacteristic
90#14582802C2211yescharacteristic, complemented
91#14582802C2211yescharacteristic, complemented
92#14582799C2211yescharacteristic
93#14582799C2211yescharacteristic
94#14582799C2211yescharacteristic
95#14582799C2211yescharacteristic
96#14582799C2211yescharacteristic
97#14582796C2211yescharacteristic, complemented
98#14582794C2211yescharacteristic, complemented
99#14582794C2211yescharacteristic, complemented
100#14582794C2211yescharacteristic, complemented
101#14582793C2211yescharacteristic
102#14582793C2211yescharacteristic, complemented
103#14582793C2211yescharacteristic, complemented
104#14582792C2211yescharacteristic, complemented
105#14582792C2211yescharacteristic, complemented
106#14582792C2211yescharacteristic, complemented
107#14582792C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic
109#14582789C2211yescharacteristic
110#14582789C2211yescharacteristic
111#14582788C2211yescharacteristic
112#14582788C2211yescharacteristic
113#14582787C2211yescharacteristic
114#14582787C2211yescharacteristic, complemented
115#14582787C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic, complemented
117#14582787C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582785C2211yescharacteristic, complemented
120#14582784C2211yescharacteristic, complemented
121#14582784C2211yescharacteristic, complemented
122#14582784C2211yescharacteristic, complemented
123#14582782C2211yescharacteristic, complemented
124#14582782C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic, complemented
132#14582778C2211yescharacteristic
133#14582778C2211yescharacteristic
134#14582778C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582774C2211yescharacteristic
143#14582774C2211yescharacteristic, complemented
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582772C2211yescharacteristic
147#14582772C2211yescharacteristic, complemented
148#14582772C2211yescharacteristic, complemented
149#14582764C2211yescharacteristic, complemented
150#14582761C2211yescharacteristic
151#14582761C2211yescharacteristic
152#14582761C2211yescharacteristic
153#14582761C2211yescharacteristic
154#14582760C2211yescharacteristic, complemented
155#14582759C2211yescharacteristic
156#14582759C2211yescharacteristic
157#14582756C2211yescharacteristic
158#14582756C2211yescharacteristic
159#14582756C2211yescharacteristic
160#14582756C2211yescharacteristic
161#14582754C2211yescharacteristic
162#14582754C2211yescharacteristic
163#14582754C2211yescharacteristic
164C4⋊C4×Dic43C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic, complemented
168C4×C22⋊Dic43C2211yescharacteristic, complemented
169C4×C22⋊Dic43C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic
171#14582746C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic, complemented
173C2×#121×C43C2211yescharacteristic
174C2×#121×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C43×#399C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#394C2211yescharacteristic, complemented
181C43×#392C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic, complemented
184C43×#385C2211yescharacteristic, complemented
185C43×#385C2211yescharacteristic, complemented
186C43×#380C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C22×C4×D43—24no—
197C22×C4×D43—42no—
198C22×C4×D43—42no—
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203#13063318—42no—
204#13063318—42no—
205#13063318—42no—
206#13063308—42no—
207#13063307—24no—
208#13063307—42no—
209#13063297—42no—
210#13063296—24no—
211#13063296—42no—
212#13063293—42no—
213#13063293—42no—
214#13063293—42no—
215#13063283—42no—
216#13063283—42no—
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C22×D4×C43C2311yescharacteristic
325C22×D4×C43C2311yescharacteristic
326C22×D4×C43C2311yescharacteristic
327C22×D4×C43C2311yescharacteristic
328C22×D4×C43C2311yescharacteristic
329C22×D4×C43C2311yescharacteristic
330C23×C4×C43C2311yescharacteristic
331C23×C4×C43C2311yescharacteristic
332C23×C4×C43C2311yescharacteristic
333#123×C43—42no—
334#121×C43—42no—
335#121×C43—42no—
336#121×C43—42no—
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C23×D43—22no—
368C23×D43—22no—
369C23×D43—22no—
370C23×D43—41no—
371C23×D43—41no—
372C23×D43—41no—
373C23×D43—41no—
374C23×D43C2411yescharacteristic
375C23×D43C2411yescharacteristic
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—22no—
379C2×D4×C43—22no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C2×C22⋊D43—22no—
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—22no—
419C2×C22⋊D43—22no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C22×Dic43—22no—
433C22×Dic43—41no—
434C22×Dic43—41no—
435C22×Dic43—41no—
436C22×Dic43—41no—
437C22×Dic43—41no—
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—41no—
460C2×C4×D43—41no—
461C2×C4×D43—41no—
462C2×C4×D43—41no—
463C2×C4×D43—416no—
464C2×C4×D43#4114yes—
465C4⋊C4×C43—22no—
466C4⋊C4×C43—41no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C22⋊C4×C43—22no—
473C22⋊C4×C43—22no—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—41no—
479C22⋊C4×C43—41no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊Dic43—22no—
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⋊Dic43—41no—
496C22⋊Dic43—41no—
497C22⋊Dic43—41no—
498C22⋊Dic43—41no—
499C22⋊Dic43—41no—
500C22⋊Dic43—41no—
501C22⋊Dic43—41no—
502C22⋊Dic43—41no—
503C22⋊Dic43—41no—
504C22⋊Dic43—41no—
505C22⋊Dic43—41no—
506C22⋊Dic43—41no—
507C22⋊Dic43—41no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4—41no—
513(C2×D43)⋊C4—41no—
514(C2×D43)⋊C4—41no—
515(C2×D43)⋊C4—41no—
516(C2×D43)⋊C4—41no—
517(C2×D43)⋊C4—41no—
518(C2×D43)⋊C4—41no—
519(C2×D43)⋊C4—41no—
520(C2×D43)⋊C4—41no—
521(C2×D43)⋊C4—41no—
522(C2×D43)⋊C4—41no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526C4⋊Dic43—22no—
527C4⋊Dic43—22no—
528C4⋊Dic43—22no—
529C4⋊Dic43—41no—
530C4⋊Dic43—41no—
531C4⋊Dic43—41no—
532C4⋊Dic43—41no—
533C4⋊Dic43—41no—
534C4⋊Dic43—41no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4—41no—
538Dic43⋊C4—41no—
539Dic43⋊C4—41no—
540Dic43⋊C4—41no—
541Dic43⋊C4—41no—
542Dic43⋊C4—41no—
543Dic43⋊C4—41no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549C4×Dic43—41no—
550C4×Dic43—41no—
551C4×Dic43—41no—
552C4×Dic43—41no—
553C4×Dic43—41no—
554C4×Dic43—41no—
555C4×Dic43—41no—
556C4×Dic43—41no—
557C4×Dic43—41no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43H(5,𝔽2)12yes—
586C23×C43C2511yescharacteristic
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—21no—
593C22×D43—21no—
594C22×D43—21no—
595C22×D43—21no—
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—21no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43—44no—
602C22×D43—44no—
603C22×D43—44no—
604C22×D43—44no—
605C22×D43—44no—
606C22×D43C2×#4112yes—
607C22×D43H(5,𝔽2)12yes—
608D4×C43—82no—
609D4×C43—82no—
610D4×C43—82no—
611D4×C43—82no—
612D4×C43—82no—
613D4×C43—82no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—44no—
646C2×C4×C43—82no—
647C2×C4×C43—82no—
648C2×C4×C43C2×#4112yes—
649C2×C4×C43H(5,𝔽2)12yes—
650C22⋊D43—82no—
651C22⋊D43—82no—
652C22⋊D43—82no—
653C22⋊D43—82no—
654C22⋊D43—82no—
655C22⋊D43—82no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—44no—
698C2×Dic43—82no—
699C2×Dic43C2×#4112yes—
700C4×D43—28no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—44no—
704#36734—431nomaximal, Sylow
705C22×C43—22no—
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43—41no—
725C22×C43—41no—
726C22×C43—41no—
727C22×C43—41no—
728C22×C43—41no—
729C22×C43—41no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43C22×#4111yescharacteristic
734C22×C43C2×H(5,𝔽2)11yescharacteristic
735C22×C43C2×H(5,𝔽2)11yescharacteristic
736C22×C43C2×H(5,𝔽2)11yescharacteristic
737C22×C43#58511yescharacteristic
738C22×C43#58511yescharacteristic
739C22×C43#58511yescharacteristic
740C2×D43—22no—
741C2×D43—22no—
742C2×D43—22no—
743C2×D43—22no—
744C2×D43—22no—
745C2×D43—22no—
746C2×D43—416no—
747C2×D43—41no—
748C2×D43—41no—
749C2×D43—41no—
750C2×D43—41no—
751C2×D43—41no—
752C2×D43—41no—
753C2×D43—41no—
754C2×D43—41no—
755C4×C43—22no—
756C4×C43—22no—
757C4×C43—41no—
758C4×C43—41no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766Dic43—22no—
767Dic43—41no—
768Dic43—41no—
769Dic43—41no—
770Dic43—41no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780#2849—431no—
781#2847—431no—
782#2746—431no—
783#2746—431no—
784#2744—431no—
785#2743—431no—
786#2741—431no—
787#2722—431no—
788#2706—431no—
789#2705—431no—
790#2701—431no—
791#2699—431no—
792#2691—431no—
793#2685—431no—
794#2685—431no—
795#2678—431no—
796#2671D4311yescharacteristic, complemented
797#2668—431no—
798#2667—431no—
799#2661—431no—
800#2595—431no—
801#2576—431no—
802#2559—431no—
803#2559—431no—
804#2479—431no—
805#2476—431no—
806#2471—431no—
807#2470—431no—
808#2335—431no—
809#2333—431no—
810#2280—431no—
811C2×C43—42no—
812C2×C43—81no—
813C2×C43—81no—
814C2×C43—81no—
815C2×C43#345511yescharacteristic
816C2×C43#349011yescharacteristic
817C2×C43#349411yescharacteristic
818C2×C43#353311yescharacteristic
819C2×C43#353411yescharacteristic
820C2×C43#353911yescharacteristic
821C2×C43#354211yescharacteristic
822D43—42no—
823D43—42no—
824C24×C4—431no—
825C2×#126—431no—
826C2×#126—431no—
827C2×#126—431no—
828C2×#123—431no—
829C2×#123—431no—
830C2×#123—431no—
831C2×#123C2×D4311yescharacteristic, complemented
832C2×#121—431no—
833C2×#121—431no—
834C2×#121—431no—
835C2×#121C2×D4311yescharacteristic
836C2×#121C2×D4311yescharacteristic
837C2×#121C2×D4311yescharacteristic
838C2×#120—431no—
839C2×#120—431no—
840C2×#120—431no—
841C2×#117—431no—
842C2×#117—431no—
843#401—431no—
844#400—431no—
845#400—431no—
846#400—431no—
847#400—431no—
848#399—431no—
849#399—431no—
850#399—431no—
851#399—431no—
852#399C2×D4311yescharacteristic, complemented
853#398—431no—
854#398—431no—
855#398—431no—
856#398—431no—
857#398—431no—
858#398—431no—
859#398C2×D4311yescharacteristic, complemented
860#397—431no—
861#397—431no—
862#397—431no—
863#397—431no—
864#397—431no—
865#397—431no—
866#396—431no—
867#396—431no—
868#396—431no—
869#396—431no—
870#396—431no—
871#394—431no—
872#394—431no—
873#394—431no—
874#394—431no—
875#394—431no—
876#394—431no—
877#394—431no—
878#394—431no—
879#394—431no—
880#394—431no—
881#394—431no—
882#394—431no—
883#394—431no—
884#394C2×D4311yescharacteristic
885#394C2×D4311yescharacteristic
886#394C2×D4311yescharacteristic, complemented
887#392—431no—
888#392—431no—
889#392—431no—
890#392C2×D4311yescharacteristic, complemented
891#390—431no—
892#390—431no—
893#390—431no—
894#390—431no—
895#390—431no—
896#390—431no—
897#390—431no—
898#390—431no—
899#389—431no—
900#389—431no—
901#389—431no—
902#389—431no—
903#388—431no—
904#388—431no—
905#388—431no—
906#388—431no—
907#388—431no—
908#388—431no—
909#388—431no—
910#388—431no—
911#388—431no—
912#388—431no—
913#388—431no—
914#388—431no—
915#388—431no—
916#388—431no—
917#388—431no—
918#388—431no—
919#388—431no—
920#387—431no—
921#387—431no—
922#387—431no—
923#387—431no—
924#387—431no—
925#387—431no—
926#387—431no—
927#387—431no—
928#387—431no—
929#386—431no—
930#386—431no—
931#386—431no—
932#386—431no—
933#386—431no—
934#386—431no—
935#386—431no—
936#386—431no—
937#386—431no—
938#386—431no—
939#386—431no—
940#386—431no—
941#386—431no—
942#386—431no—
943#386—431no—
944#386C2×D4311yescharacteristic
945#386C2×D4311yescharacteristic, complemented
946#385—431no—
947#385—431no—
948#385—431no—
949#385—431no—
950#385—431no—
951#385—431no—
952#385—431no—
953#385C2×D4311yescharacteristic, complemented
954#385C2×D4311yescharacteristic, complemented
955#382—431no—
956#381—431no—
957#381—431no—
958#381—431no—
959#381—431no—
960#381—431no—
961#380—431no—
962#380—431no—
963#380—431no—
964#380—431no—
965#380—431no—
966#380—431no—
967#380C2×D4311yescharacteristic
968#379—431no—
969#379—431no—
970#379—431no—
971C4×C4⋊C4—431no—
972C4×C22⋊C4—431no—
973C4×C22⋊C4—431no—
974C4×C22⋊C4—431no—
975C4×C22⋊C4—431no—
976C4×C22⋊C4—431no—
977C4×C22⋊C4—431no—
978C4×C22⋊C4—431no—
979C43#3673411yescharacteristic, complemented, Sylow
980C25—431no—
981C22×D4—431no—
982C22×D4—431no—
983C22×D4—431no—
984C22×D4—431no—
985C22×D4—431no—
986C22×D4—431no—
987C22×D4C22×D4311yescharacteristic
988C22×D4C22×D4311yescharacteristic
989C22×D4C22×D4311yescharacteristic
990C22×D4C22×D4311yescharacteristic
991C22×D4C22×D4311yescharacteristic
992C22×D4C22×D4311yescharacteristic
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—431no—
996C23×C4—431no—
997C23×C4—431no—
998C23×C4—431no—
999C23×C4—864no—
1000C23×C4—1722no—
1001C23×C4—1722no—
1002C23×C4C22×D4311yescharacteristic
1003C23×C4C22×D4311yescharacteristic
1004C23×C4C22×D4311yescharacteristic
1005#126—1722no—
1006#126—1722no—
1007#126—1722no—
1008#123—42no—
1009#123—864no—
1010#123—1722no—
1011#123—1722no—
1012#121—42no—
1013#121—42no—
1014#121—42no—
1015#121—864no—
1016#121—1722no—
1017#121—1722no—
1018#120—1722no—
1019#120—1722no—
1020#120—1722no—
1021#117—1722no—
1022#117—1722no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—431no—
1033C2×C4⋊C4—431no—
1034C2×C4⋊C4—431no—
1035C2×C4⋊C4—431no—
1036C2×C4⋊C4—431no—
1037C2×C4⋊C4—431no—
1038C2×C4⋊C4—431no—
1039C2×C4⋊C4—431no—
1040C2×C4⋊C4—431no—
1041C2×C4⋊C4—431no—
1042C2×C4⋊C4—431no—
1043C2×C4⋊C4—431no—
1044C2×C4⋊C4—431no—
1045C2×C4⋊C4—431no—
1046C2×C4⋊C4C22×D4311yescharacteristic
1047C2×C4⋊C4C22×D4311yescharacteristic
1048C2×C4⋊C4C22×D4311yescharacteristic
1049C2×C4⋊C4C22×D4311yescharacteristic
1050C2×C4⋊C4C22×D4311yescharacteristic
1051C2×C4⋊C4C22×D4311yescharacteristic
1052C2×C4⋊C4C22×D4311yescharacteristic
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
1086C2×C22⋊C4—431no—
1087C2×C22⋊C4—431no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4C22×D4311yescharacteristic
1095C2×C22⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4C22×D4311yescharacteristic
1097C2×C22⋊C4C22×D4311yescharacteristic
1098C2×C22⋊C4C22×D4311yescharacteristic
1099C2×C22⋊C4C22×D4311yescharacteristic
1100C2×C22⋊C4C22×D4311yescharacteristic
1101C2×C22⋊C4C22×D4311yescharacteristic
1102C2×C22⋊C4C22×D4311yescharacteristic
1103C2×C22⋊C4C22×D4311yescharacteristic
1104C2×C22⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4C22×D4311yescharacteristic
1106C2×C22⋊C4C22×D4311yescharacteristic
1107C2×C42—431no—
1108C2×C42—431no—
1109C2×C42—431no—
1110C2×C42—431no—
1111C2×C42—431no—
1112C2×C42—431no—
1113C2×C42—431no—
1114C2×C42—431no—
1115C2×C42—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156C24—431no—
1157C24—431no—
1158C24—862no—
1159C24—862no—
1160C24—862no—
1161C24—1721no—
1162C24—1721no—
1163C24—1721no—
1164C24—1721no—
1165C24C23×D4311yescharacteristic
1166C24C23×D4311yescharacteristic
1167C24C23×D4311yescharacteristic
1168C24C23×D4311yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—862no—
1188C2×D4—862no—
1189C2×D4—862no—
1190C2×D4—862no—
1191C2×D4—862no—
1192C2×D4—862no—
1193C2×D4—1721no—
1194C2×D4—1721no—
1195C2×D4—1721no—
1196C2×D4—1721no—
1197C2×D4—1721no—
1198C2×D4—1721no—
1199C2×D4—1721no—
1200C2×D4—1721no—
1201C2×D4—1721no—
1202C2×D4—1721no—
1203C2×D4—1721no—
1204C2×D4—1721no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—431no—
1215C22×C4—434no—
1216C22×C4—431no—
1217C22×C4—431no—
1218C22×C4—431no—
1219C22×C4—431no—
1220C22×C4—431no—
1221C22×C4—431no—
1222C22×C4—431no—
1223C22×C4—431no—
1224C22×C4—431no—
1225C22×C4—431no—
1226C22×C4—431no—
1227C22×C4—431no—
1228C22×C4—431no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—862no—
1233C22×C4—862no—
1234C22×C4—862no—
1235C22×C4—862no—
1236C22×C4—862no—
1237C22×C4—1721no—
1238C22×C4—1721no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—17216no—
1242C22×C4—1721no—
1243C22×C4—1721no—
1244C22×C4—1721no—
1245C22×C4—1721no—
1246C22×C4—1721no—
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C22×C4C23×D4311yescharacteristic
1255C22×C4C23×D4311yescharacteristic
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—862no—
1266C4⋊C4—862no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—1721no—
1271C4⋊C4—1721no—
1272C4⋊C4—1721no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C4⋊C4—1721no—
1284C4⋊C4—1721no—
1285C4⋊C4—1721no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—862no—
1302C22⋊C4—862no—
1303C22⋊C4—862no—
1304C22⋊C4—862no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—862no—
1308C22⋊C4—862no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—1721no—
1312C22⋊C4—1721no—
1313C22⋊C4—1721no—
1314C22⋊C4—1721no—
1315C22⋊C4—1721no—
1316C22⋊C4—1721no—
1317C22⋊C4—1721no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C22⋊C4—1721no—
1323C22⋊C4—1721no—
1324C22⋊C4—1721no—
1325C22⋊C4—1721no—
1326C22⋊C4—1721no—
1327C22⋊C4—1721no—
1328C22⋊C4—1721no—
1329C22⋊C4—1721no—
1330C22⋊C4—1721no—
1331C22⋊C4—1721no—
1332C22⋊C4—1721no—
1333C22⋊C4—1721no—
1334C22⋊C4—1721no—
1335C22⋊C4—1721no—
1336C22⋊C4—1721no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C22⋊C4—1721no—
1341C22⋊C4—1721no—
1342C42—1721no—
1343C42—1721no—
1344C42—1721no—
1345C42—1721no—
1346C42—1721no—
1347C42—1721no—
1348C42—1721no—
1349C42—1721no—
1350C42—1721no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—432no—
1379C23—432no—
1380C23—861no—
1381C23—861no—
1382C23—861no—
1383C23—861no—
1384C23—861no—
1385C23—861no—
1386C23—861no—
1387C23—861no—
1388C23—861no—
1389C23—861no—
1390C23—861no—
1391C23—861no—
1392C23—1724no—
1393C23—1724no—
1394C23—1724no—
1395C23—1724no—
1396C23—1724no—
1397C23—1724no—
1398C23—1724no—
1399C23#1306337012yes—
1400C23C24×D4311yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—3442no—
1408D4—3442no—
1409D4—3442no—
1410D4—3442no—
1411D4—3442no—
1412D4—3442no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—44no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4—432no—
1448C2×C4—868no—
1449C2×C4—861no—
1450C2×C4—861no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—3442no—
1491C2×C4—1724no—
1492C2×C4—1724no—
1493C2×C4—1724no—
1494C2×C4—1724no—
1495C2×C4#41×D4312yes—
1496C2×C4#1306337012yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—862no—
1526C22—862no—
1527C22—862no—
1528C22—862no—
1529C22—862no—
1530C22—862no—
1531C22—17216no—
1532C22—1721no—
1533C22—1721no—
1534C22—1721no—
1535C22—1721no—
1536C22—1721no—
1537C22—1721no—
1538C22—1721no—
1539C22—1721no—
1540C22C2×#41×D4311yescharacteristic
1541C22H(5,𝔽2)×D4311yescharacteristic
1542C22C2×#1306337011yescharacteristic
1543C22C2×#1306337011yescharacteristic
1544C22#1458373411yescharacteristic
1545C22#1458373411yescharacteristic
1546C22#1458373611yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—862no—
1559C4—1721no—
1560C4—1721no—
1561C4—1721no—
1562C4—1721no—
1563C4—1721no—
1564C4—1721no—
1565C4—1721no—
1566C4—1721no—
1567C4—1721no—
1568C4—1721no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C2—42no—
1573C2—81no—
1574C2—81no—
1575C2—81no—
1576C2—1722no—
1577C2—1722no—
1578C2#1914797911yescharacteristic
1579C2#1914827711yescharacteristic
1580C2#1914831911yescharacteristic
1581C2#1914875711yescharacteristic
1582C2#1914878211yescharacteristic
1583C2#1914884811yescharacteristic
1584C2#1914891611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2671C2
hypercenter#2671D43
hypocenterC43#36734
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. #19142886C2semidirect
2. #19142874C2semidirect
3. #19141774C2semidirect
4. #19141774C2semidirect
5. #19141748C2semidirect
6. #19141741C2semidirect
7. #19141714C2semidirect
8. #19141500C2semidirect
9. #19141277C2semidirect
10. #19141274C2semidirect
11. #19141211C2semidirect
12. #19141185C2semidirect
13. #19141072C2semidirect
14. #19140992C2semidirect
15. #19140988C2semidirect
16. #19140923C2semidirect
17. #19140798C2semidirect
18. #19140796C2semidirect
19. #19140726C2semidirect
20. #19140117C2semidirect
21. #19139900C2semidirect
22. #19139720C2semidirect
23. #19139720C2semidirect
24. #19138821C2semidirect
25. #19138782C2semidirect
26. #19138702C2semidirect
27. #19138695C2semidirect
28. #19137380C2semidirect
29. #19137356C2semidirect
30. #19136977C2semidirect
31. C43×#2671C2semidirect
35. C2×#13063318C22semidirect
47. C43⋊#401C22semidirect
48. #14582841C22semidirect
49. #14582838C22semidirect
50. #14582838C22semidirect
51. #14582838C22semidirect
52. #14582835C22semidirect
56. #14582833C22semidirect
57. #14582833C22semidirect
58. #14582832C22semidirect
59. #14582832C22semidirect
60. #14582831C22semidirect
61. #14582830C22semidirect
65. #14582824C22semidirect
66. #14582824C22semidirect
67. #14582824C22semidirect
69. #14582822C22semidirect
70. #14582822C22semidirect
83. #14582813C22semidirect
84. #14582813C22semidirect
85. #14582813C22semidirect
90. #14582802C22semidirect
91. #14582802C22semidirect
97. #14582796C22semidirect
98. #14582794C22semidirect
99. #14582794C22semidirect
100. #14582794C22semidirect
102. #14582793C22semidirect
103. #14582793C22semidirect
104. #14582792C22semidirect
105. #14582792C22semidirect
106. #14582792C22semidirect
107. #14582792C22semidirect
114. #14582787C22semidirect
115. #14582787C22semidirect
116. #14582787C22semidirect
117. #14582787C22semidirect
118. #14582786C22semidirect
119. #14582785C22semidirect
120. #14582784C22semidirect
121. #14582784C22semidirect
122. #14582784C22semidirect
123. #14582782C22semidirect
124. #14582782C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
131. #14582779C22semidirect
143. #14582774C22semidirect
147. #14582772C22semidirect
148. #14582772C22semidirect
149. #14582764C22semidirect
154. #14582760C22semidirect
164. C4⋊C4×Dic43C22semidirect
167. C22⋊C4×Dic43C22semidirect
168. C4×C22⋊Dic43C22semidirect
169. C4×C22⋊Dic43C22semidirect
172. C2×#123×C43C22semidirect
176. C43×#399C22semidirect
177. C43×#398C22semidirect
180. C43×#394C22semidirect
181. C43×#392C22semidirect
183. C43×#386C22semidirect
184. C43×#385C22semidirect
185. C43×#385C22semidirect
796. #2671D43semidirect
831. C2×#123C2×D43semidirect
852. #399C2×D43semidirect
859. #398C2×D43semidirect
886. #394C2×D43semidirect
890. #392C2×D43semidirect
945. #386C2×D43semidirect
953. #385C2×D43semidirect
954. #385C2×D43semidirect
979. C43#36734semidirect

Maximal subgroups

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

subgroupindex
#191428862
#191428742
#191417742
#191417482
#191417412
#191417142
#191415002
#191412772
#191412742
#191412112
#191411852
#191410722
#191409922
#191409882
#191409232
#191407982
#191407962
#191407262
#191401172
#191399002
#191397202
#191388212
#191387822
#191387022
#191386952
#191373802
#191373562
#191369772
C43×#26712
#3673443