Finite Group Databasebeta

← #25304967

Subgroups — #25304967

Order 11008.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142890C211yesmaximal, characteristic, complemented
2#19142876C211yesmaximal, characteristic, complemented
3#19142246C211yesmaximal, characteristic, complemented
4#19142246C211yesmaximal, characteristic, complemented
5#19142071C211yesmaximal, characteristic, complemented
6#19141983C211yesmaximal, characteristic, complemented
7#19141876C211yesmaximal, characteristic, complemented
8#19141815C211yesmaximal, characteristic, complemented
9#19141805C211yesmaximal, characteristic, complemented
10#19141734C211yesmaximal, characteristic, complemented
11#19141666C211yesmaximal, characteristic, complemented
12#19141356C211yesmaximal, characteristic, complemented
13#19141299C211yesmaximal, characteristic, complemented
14#19141280C211yesmaximal, characteristic, complemented
15#19141205C211yesmaximal, characteristic, complemented
16#19141205C211yesmaximal, characteristic, complemented
17#19141031C211yesmaximal, characteristic, complemented
18#19140828C211yesmaximal, characteristic, complemented
19#19140381C211yesmaximal, characteristic, complemented
20#19140343C211yesmaximal, characteristic, complemented
21#19139521C211yesmaximal, characteristic, complemented
22#19139481C211yesmaximal, characteristic, complemented
23#19138319C211yesmaximal, characteristic, complemented
24#19138148C211yesmaximal, characteristic, complemented
25#19138133C211yesmaximal, characteristic, complemented
26#19138074C211yesmaximal, characteristic, complemented
27#19138059C211yesmaximal, characteristic, complemented
28#19138035C211yesmaximal, characteristic, complemented
29#19137298C211yesmaximal, characteristic, complemented
30C2×#14582773C211yesmaximal, characteristic, complemented
31C43×#2318C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063317C2211yescharacteristic, complemented
34C2×#13063310C2211yescharacteristic
35C2×#13063310C2211yescharacteristic
36C2×#13063310C2211yescharacteristic
37C2×#13063309C2211yescharacteristic
38C2×#13063309C2211yescharacteristic
39C2×#13063306C2211yescharacteristic
40C2×#13063299C2211yescharacteristic
41C2×#13063299C2211yescharacteristic, complemented
42C2×#13063298C2211yescharacteristic
43C2×#13063298C2211yescharacteristic
44C2×#13063298C2211yescharacteristic
45C2×#13063297C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063295C2211yescharacteristic
48C2×#13063295C2211yescharacteristic
49C2×#13063293C2211yescharacteristic
50C2×C4×C22⋊D43C2211yescharacteristic
51C2×C4×C22⋊D43C2211yescharacteristic
52C22×C4⋊Dic43C2211yescharacteristic
53C22×Dic43⋊C4C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55C22×(C2×D43)⋊C4C2211yescharacteristic
56#14582841C2211yescharacteristic, complemented
57#14582841C2211yescharacteristic, complemented
58#14582841C2211yescharacteristic, complemented
59#14582841C2211yescharacteristic, complemented
60#14582841C2211yescharacteristic, complemented
61#14582836C2211yescharacteristic
62#14582836C2211yescharacteristic
63#14582834C2211yescharacteristic
64#14582834C2211yescharacteristic, complemented
65#14582834C2211yescharacteristic, complemented
66#14582833C2211yescharacteristic, complemented
67#14582833C2211yescharacteristic, complemented
68#14582833C2211yescharacteristic, complemented
69#14582833C2211yescharacteristic, complemented
70#14582833C2211yescharacteristic, complemented
71#14582832C2211yescharacteristic, complemented
72#14582832C2211yescharacteristic, complemented
73#14582832C2211yescharacteristic, complemented
74#14582828C2211yescharacteristic
75#14582828C2211yescharacteristic, complemented
76#14582828C2211yescharacteristic, complemented
77#14582828C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic, complemented
79#14582825C2211yescharacteristic, complemented
80#14582823C2211yescharacteristic
81#14582823C2211yescharacteristic, complemented
82#14582823C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582822C2211yescharacteristic, complemented
85#14582822C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic
87#14582821C2211yescharacteristic
88#14582821C2211yescharacteristic, complemented
89#14582821C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582816C2211yescharacteristic
93#14582815C2211yescharacteristic
94#14582815C2211yescharacteristic
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic
98#14582814C2211yescharacteristic, complemented
99#14582814C2211yescharacteristic, complemented
100#14582814C2211yescharacteristic, complemented
101#14582809C2211yescharacteristic
102#14582809C2211yescharacteristic
103#14582808C2211yescharacteristic
104#14582801C2211yescharacteristic
105#14582801C2211yescharacteristic
106#14582801C2211yescharacteristic
107#14582801C2211yescharacteristic
108#14582801C2211yescharacteristic, complemented
109#14582799C2211yescharacteristic
110#14582797C2211yescharacteristic, complemented
111#14582797C2211yescharacteristic, complemented
112#14582797C2211yescharacteristic, complemented
113#14582796C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic, complemented
115#14582791C2211yescharacteristic, complemented
116#14582791C2211yescharacteristic, complemented
117#14582790C2211yescharacteristic
118#14582790C2211yescharacteristic
119#14582789C2211yescharacteristic
120#14582788C2211yescharacteristic
121#14582788C2211yescharacteristic
122#14582786C2211yescharacteristic, complemented
123#14582785C2211yescharacteristic, complemented
124#14582784C2211yescharacteristic, complemented
125#14582784C2211yescharacteristic, complemented
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic, complemented
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic, complemented
143#14582773C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582773C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582773C2211yescharacteristic
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582771C2211yescharacteristic
154#14582771C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic, complemented
158#14582765C2211yescharacteristic, complemented
159#14582761C2211yescharacteristic
160#14582761C2211yescharacteristic
161#14582761C2211yescharacteristic, complemented
162#14582760C2211yescharacteristic
163#14582759C2211yescharacteristic
164#14582759C2211yescharacteristic, complemented
165#14582758C2211yescharacteristic
166#14582758C2211yescharacteristic
167#14582758C2211yescharacteristic, complemented
168#14582757C2211yescharacteristic
169#14582757C2211yescharacteristic
170#14582754C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×C4×D4×C43C2211yescharacteristic
173C43×#388C2211yescharacteristic, complemented
174C43×#388C2211yescharacteristic, complemented
175C43×#387C2211yescharacteristic, complemented
176C43×#387C2211yescharacteristic, complemented
177C43×#386C2211yescharacteristic
178C43×#386C2211yescharacteristic
179C43×#385C2211yescharacteristic
180C43×#385C2211yescharacteristic
181C43×#383C2211yescharacteristic, complemented
182C43×#382C2211yescharacteristic, complemented
183C43×#381C2211yescharacteristic, complemented
184C43×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C22×C4×D43—42no—
203C22×C4×D43—42no—
204C22×C4×D43—42no—
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211#13063317—42no—
212#13063310—42no—
213#13063310—42no—
214#13063310—42no—
215#13063309—42no—
216#13063309—42no—
217#13063306—42no—
218#13063299—24no—
219#13063299—42no—
220#13063298—42no—
221#13063298—42no—
222#13063298—42no—
223#13063297—42no—
224#13063297—42no—
225#13063295—42no—
226#13063295—42no—
227#13063293—42no—
228C4×C22⋊D43—42no—
229C4×C22⋊D43—42no—
230C2×C4⋊Dic43—42no—
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×Dic43⋊C4—42no—
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×(C2×D43)⋊C4—24no—
268C2×(C2×D43)⋊C4—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
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
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C22×D4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C23×C4×C43C2311yescharacteristic
337C23×C4×C43C2311yescharacteristic
338C4×D4×C43—24no—
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×C42×C43C2311yescharacteristic
353C2×C42×C43C2311yescharacteristic
354C2×C42×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43C2411yescharacteristic
370C24×C43C2411yescharacteristic
371C23×D43—22no—
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—22no—
376C23×D43—41no—
377C23×D43—41no—
378C23×D43C2411yescharacteristic
379C23×D43C2411yescharacteristic
380C23×D43C2411yescharacteristic
381C23×D43C2411yescharacteristic
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C22×C4×C43—22no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—41no—
389C22×C4×C43—41no—
390C22×C4×C43—41no—
391C22×C4×C43—41no—
392C22×C4×C43—41no—
393C22×C4×C43—41no—
394C22×C4×C43—41no—
395C22×C4×C43—41no—
396C22×C4×C43#4114yes—
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C2×C22⋊D43—22no—
411C2×C22⋊D43—22no—
412C2×C22⋊D43—22no—
413C2×C22⋊D43—22no—
414C2×C22⋊D43—22no—
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—22no—
419C2×C22⋊D43—41no—
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—
428C22×Dic43—22no—
429C22×Dic43—22no—
430C22×Dic43—22no—
431C22×Dic43—22no—
432C22×Dic43—22no—
433C22×Dic43—22no—
434C22×Dic43—41no—
435C22×Dic43—41no—
436C22×Dic43—41no—
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C2×D172—22no—
450C2×D172—22no—
451C2×D172—22no—
452C2×D172—22no—
453C2×D172—22no—
454C2×D172—41no—
455C2×D172—41no—
456C2×D172—41no—
457C2×D172—41no—
458C2×D172—41no—
459C2×D172—41no—
460C2×D172—41no—
461C2×D172—41no—
462C2×D172—41no—
463C2×D172—41no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—41no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—41no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—416no—
483C4⋊C4×C43—22no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C42×C43—22no—
497C42×C43—41no—
498C42×C43—41no—
499C22⋊Dic43—22no—
500C22⋊Dic43—22no—
501C22⋊Dic43—41no—
502C22⋊Dic43—41no—
503C22⋊Dic43—41no—
504C22⋊Dic43—41no—
505(C2×D43)⋊C4—22no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4—22no—
513(C2×D43)⋊C4—22no—
514(C2×D43)⋊C4—22no—
515(C2×D43)⋊C4—22no—
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—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541C4⋊Dic43—22no—
542C4⋊Dic43—22no—
543C4⋊Dic43—22no—
544C4⋊Dic43—41no—
545C4⋊Dic43—41no—
546C4⋊Dic43—41no—
547C4⋊Dic43—41no—
548C4⋊Dic43—41no—
549C4⋊Dic43—41no—
550C4⋊Dic43—41no—
551C4⋊Dic43—41no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—41no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557Dic43⋊C4—41no—
558Dic43⋊C4—41no—
559Dic43⋊C4—41no—
560Dic43⋊C4—41no—
561Dic43⋊C4—41no—
562Dic43⋊C4—41no—
563Dic43⋊C4—41no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570C4×Dic43—41no—
571C4×Dic43—41no—
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×C43C2×#4112yes—
584C23×C43H(5,𝔽2)12yes—
585C23×C43H(5,𝔽2)12yes—
586C23×C43C2511yescharacteristic
587C22×D43—28no—
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—21no—
600C22×D43—21no—
601C22×D43—21no—
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—44no—
615C22×D43—44no—
616C22×D43—44no—
617C22×D43—44no—
618C22×D43—44no—
619C22×D43—44no—
620C22×D43H(5,𝔽2)12yes—
621C22×D432−1+412yes—
622D4×C43—44no—
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—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—44no—
661C2×C4×C43—44no—
662C2×C4×C43—82no—
663C2×C4×C43—82no—
664C2×C4×C43C2×#4112yes—
665C2×C4×C43C2×#4112yes—
666C22⋊D43—44no—
667C22⋊D43—44no—
668C22⋊D43—82no—
669C22⋊D43—82no—
670C22⋊D43—82no—
671C22⋊D43—82no—
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—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—44no—
708C2×Dic43—44no—
709C2×Dic43—82no—
710C2×Dic43H(5,𝔽2)12yes—
711D172—82no—
712D172—82no—
713D172—82no—
714D172—82no—
715D172—82no—
716C4×D43—44no—
717C4×D43—44no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—82no—
721C4×D43—82no—
722#36777—431nomaximal, Sylow
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—41no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43#54014yes—
737C22×C43C22×#4111yescharacteristic
738C22×C43C2×H(5,𝔽2)11yescharacteristic
739C22×C43C2×H(5,𝔽2)11yescharacteristic
740C22×C43C2×H(5,𝔽2)11yescharacteristic
741C22×C43C2×H(5,𝔽2)11yescharacteristic
742C22×C43C2×2−1+411yescharacteristic
743C22×C43#58511yescharacteristic
744C2×D43—22no—
745C2×D43—22no—
746C2×D43—22no—
747C2×D43—22no—
748C2×D43—22no—
749C2×D43—22no—
750C2×D43—416no—
751C2×D43—41no—
752C2×D43—41no—
753C2×D43—41no—
754C2×D43—41no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786Dic43—22no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798#2849—431no—
799#2847—431no—
800#2780—431no—
801#2780—431no—
802#2768—431no—
803#2761—431no—
804#2753—431no—
805#2749—431no—
806#2748—431no—
807#2743—431no—
808#2738—431no—
809#2711—431no—
810#2707—431no—
811#2706—431no—
812#2701—431no—
813#2701—431no—
814#2688—431no—
815#2671—431no—
816#2623—431no—
817#2618—431no—
818#2539—431no—
819#2534—431no—
820#2442—431no—
821#2425—431no—
822#2424—431no—
823#2419—431no—
824#2418—431no—
825#2416—431no—
826#2325—431no—
827#2318D4311yescharacteristic, complemented
828C2×#385—431no—
829C2×C43—24no—
830C2×C43—81no—
831C2×C43C2×#54011yescharacteristic
832C2×C43#349211yescharacteristic
833C2×C43#350511yescharacteristic
834C2×C43#353211yescharacteristic
835C2×C43#353411yescharacteristic
836C2×C43#353511yescharacteristic
837C2×C43#353611yescharacteristic
838D43—42no—
839D43—42no—
840D43—81no—
841D43—81no—
842C24×C4—431no—
843C2×#125—431no—
844C2×#123—431no—
845C2×#123—431no—
846C2×#123—431no—
847C2×#123—431no—
848C2×#123—431no—
849C2×#123—431no—
850C2×#121—431no—
851C2×#121—431no—
852C2×#121—431no—
853C2×#121—431no—
854C2×#121—431no—
855C2×#121—431no—
856C2×#121—431no—
857C2×#120—431no—
858C2×#120—431no—
859C2×#120—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4C2×D4311yescharacteristic
863C22×C4⋊C4—431no—
864C22×C4⋊C4—431no—
865C22×C22⋊C4—431no—
866C22×C22⋊C4—431no—
867#400—431no—
868#400—431no—
869#400—431no—
870#400—431no—
871#400—431no—
872#399—431no—
873#399—431no—
874#399—431no—
875#399—431no—
876#399—431no—
877#398—431no—
878#398—431no—
879#398—431no—
880#398—431no—
881#398—431no—
882#398—431no—
883#398—431no—
884#398—431no—
885#397—431no—
886#397—431no—
887#397—431no—
888#397—431no—
889#397—431no—
890#397—431no—
891#396—431no—
892#396—431no—
893#396—431no—
894#396—431no—
895#396—431no—
896#396—431no—
897#396—431no—
898#396—431no—
899#396—431no—
900#396—431no—
901#394—431no—
902#394—431no—
903#394—431no—
904#394—431no—
905#394—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#392—431no—
913#392—431no—
914#392—431no—
915#390—431no—
916#390—431no—
917#390—431no—
918#390—431no—
919#390—431no—
920#390—431no—
921#389—431no—
922#389—431no—
923#389—431no—
924#389—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388C2×D4311yescharacteristic, complemented
934#388C2×D4311yescharacteristic, complemented
935#387—431no—
936#387—431no—
937#387—431no—
938#387—431no—
939#387C2×D4311yescharacteristic, complemented
940#387C2×D4311yescharacteristic, complemented
941#386—431no—
942#386—431no—
943#386—431no—
944#386—431no—
945#386—431no—
946#386—431no—
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386C2×D4311yescharacteristic
959#386C2×D4311yescharacteristic
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385—431no—
974#385—431no—
975#385C2×D4311yescharacteristic
976#385C2×D4311yescharacteristic
977#383C2×D4311yescharacteristic, complemented
978#382—431no—
979#382C2×D4311yescharacteristic, complemented
980#381—431no—
981#381—431no—
982#381—431no—
983#381—431no—
984#381C2×D4311yescharacteristic, complemented
985#380—431no—
986#380—431no—
987#380—431no—
988#380—431no—
989#380—431no—
990#380—431no—
991#380—431no—
992#380C2×D4311yescharacteristic, complemented
993#379—431no—
994C4×C22⋊C4C2×D4311yescharacteristic
995C2×#95—431no—
996C2×#95C2×D4311yescharacteristic
997C43#3677711yescharacteristic, complemented, Sylow
998C25—431no—
999C22×D4—431no—
1000C22×D4—431no—
1001C22×D4—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C22×D4—431no—
1010C22×D4C22×D4311yescharacteristic
1011C23×C4—431no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—1722no—
1021C23×C4—1722no—
1022C23×C4—1722no—
1023C23×C4C22×D4311yescharacteristic
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026C23×C4C22×D4311yescharacteristic
1027#125—1722no—
1028#123—1722no—
1029#123—1722no—
1030#123—1722no—
1031#123—1722no—
1032#123—1722no—
1033#123—1722no—
1034#121—864no—
1035#121—1722no—
1036#121—1722no—
1037#121—1722no—
1038#121—1722no—
1039#121—1722no—
1040#121—1722no—
1041#120—1722no—
1042#120—1722no—
1043#120—1722no—
1044C4×D4—24no—
1045C4×D4—1722no—
1046C4×D4—1722no—
1047C2×C4⋊C4—431no—
1048C2×C4⋊C4—431no—
1049C2×C4⋊C4—431no—
1050C2×C4⋊C4—431no—
1051C2×C4⋊C4—431no—
1052C2×C4⋊C4—431no—
1053C2×C4⋊C4—431no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—1722no—
1077C2×C4⋊C4—1722no—
1078C2×C4⋊C4C22×D4311yescharacteristic
1079C2×C4⋊C4C22×D4311yescharacteristic
1080C2×C4⋊C4C22×D4311yescharacteristic
1081C2×C4⋊C4C22×D4311yescharacteristic
1082C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—864no—
1126C2×C22⋊C4—1722no—
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C42—431no—
1136C2×C42—431no—
1137C2×C42C22×D4311yescharacteristic
1138C2×C42C22×D4311yescharacteristic
1139C2×C42C22×D4311yescharacteristic
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#95—431no—
1151#95—431no—
1152#95—431no—
1153#95—431no—
1154#95—431no—
1155#95—431no—
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95C22×D4311yescharacteristic
1167#95C22×D4311yescharacteristic
1168#95C22×D4311yescharacteristic
1169#95C22×D4311yescharacteristic
1170#95C22×D4311yescharacteristic
1171#95C22×D4311yescharacteristic
1172#95C22×D4311yescharacteristic
1173#95C22×D4311yescharacteristic
1174#95C22×D4311yescharacteristic
1175#95C22×D4311yescharacteristic
1176#95C22×D4311yescharacteristic
1177#95C22×D4311yescharacteristic
1178#95C22×D4311yescharacteristic
1179#95C22×D4311yescharacteristic
1180C24—431no—
1181C24—431no—
1182C24—431no—
1183C24—431no—
1184C24—862no—
1185C24—862no—
1186C24—862no—
1187C24—862no—
1188C24—862no—
1189C24—1721no—
1190C24—1721no—
1191C24C23×D4311yescharacteristic
1192C24C23×D4311yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—862no—
1197C2×D4—862no—
1198C2×D4—862no—
1199C2×D4—862no—
1200C2×D4—862no—
1201C2×D4—862no—
1202C2×D4—862no—
1203C2×D4—862no—
1204C2×D4—862no—
1205C2×D4—862no—
1206C2×D4—862no—
1207C2×D4—862no—
1208C2×D4—862no—
1209C2×D4—862no—
1210C2×D4—1721no—
1211C2×D4—1721no—
1212C2×D4—1721no—
1213C2×D4—1721no—
1214C2×D4—1721no—
1215C2×D4—1721no—
1216C2×D4—1721no—
1217C2×D4—1721no—
1218C2×D4—1721no—
1219C2×D4—1721no—
1220C2×D4—1721no—
1221C2×D4—1721no—
1222C2×D4—1721no—
1223C2×D4—1721no—
1224C2×D4—1721no—
1225C2×D4—1721no—
1226C2×D4—1721no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—431no—
1241C22×C4—431no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—431no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—1721no—
1263C22×C4—1721no—
1264C22×C4—1721no—
1265C22×C4—1721no—
1266C22×C4—1721no—
1267C22×C4—1721no—
1268C22×C4—1721no—
1269C22×C4—1721no—
1270C22×C4—1721no—
1271C22×C4—1721no—
1272C22×C4—1721no—
1273C22×C4—1721no—
1274C22×C4—1721no—
1275C22×C4—1721no—
1276C22×C4—17216no—
1277C22×C4—1721no—
1278C22×C4—1721no—
1279C22×C4—1721no—
1280C22×C4#1062189814yes—
1281C22×C4C23×D4311yescharacteristic
1282C22×C4C23×D4311yescharacteristic
1283C22×C4C23×D4311yescharacteristic
1284C22×C4C23×D4311yescharacteristic
1285C22×C4C23×D4311yescharacteristic
1286C22×C4C23×D4311yescharacteristic
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—862no—
1300C4⋊C4—862no—
1301C4⋊C4—862no—
1302C4⋊C4—862no—
1303C4⋊C4—862no—
1304C4⋊C4—1721no—
1305C4⋊C4—1721no—
1306C4⋊C4—1721no—
1307C4⋊C4—1721no—
1308C4⋊C4—1721no—
1309C4⋊C4—1721no—
1310C4⋊C4—1721no—
1311C4⋊C4—1721no—
1312C4⋊C4—1721no—
1313C4⋊C4—1721no—
1314C4⋊C4—1721no—
1315C4⋊C4—1721no—
1316C4⋊C4—1721no—
1317C4⋊C4—1721no—
1318C4⋊C4—1721no—
1319C4⋊C4—1721no—
1320C4⋊C4—1721no—
1321C4⋊C4—1721no—
1322C4⋊C4—1721no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—862no—
1337C22⋊C4—862no—
1338C22⋊C4—862no—
1339C22⋊C4—862no—
1340C22⋊C4—862no—
1341C22⋊C4—862no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—1721no—
1350C22⋊C4—1721no—
1351C22⋊C4—1721no—
1352C22⋊C4—1721no—
1353C22⋊C4—1721no—
1354C22⋊C4—1721no—
1355C22⋊C4—1721no—
1356C22⋊C4—1721no—
1357C22⋊C4—1721no—
1358C22⋊C4—1721no—
1359C22⋊C4—1721no—
1360C22⋊C4—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4—1721no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—1721no—
1382C42—1721no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—432no—
1395C23—432no—
1396C23—868no—
1397C23—861no—
1398C23—861no—
1399C23—861no—
1400C23—861no—
1401C23—861no—
1402C23—861no—
1403C23—861no—
1404C23—861no—
1405C23—861no—
1406C23—861no—
1407C23—861no—
1408C23—861no—
1409C23—861no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—1724no—
1424C23—1724no—
1425C23—1724no—
1426C23—1724no—
1427C23—1724no—
1428C23—1724no—
1429C23C2×#1062189812yes—
1430C23#1306337112yes—
1431C23#1306337112yes—
1432C23C24×D4311yescharacteristic
1433D4—44no—
1434D4—3442no—
1435D4—3442no—
1436D4—3442no—
1437D4—3442no—
1438D4—3442no—
1439D4—3442no—
1440D4—3442no—
1441D4—3442no—
1442D4—3442no—
1443D4—1724no—
1444D4—1724no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—432no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—3442no—
1523C2×C4—3442no—
1524C2×C4—3442no—
1525C2×C4—1724no—
1526C2×C4—1724no—
1527C2×C4—1724no—
1528C2×C4—1724no—
1529C2×C4—1724no—
1530C2×C4—1724no—
1531C2×C4C2×#1062189812yes—
1532C2×C4C2×#1062189812yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—862no—
1547C22—862no—
1548C22—862no—
1549C22—862no—
1550C22—862no—
1551C22—862no—
1552C22—17216no—
1553C22—1721no—
1554C22—1721no—
1555C22—1721no—
1556C22—1721no—
1557C22—1721no—
1558C22—1721no—
1559C22—1721no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22#1458350414yes—
1576C22C22×#1062189811yescharacteristic
1577C22H(5,𝔽2)×D4311yescharacteristic
1578C22H(5,𝔽2)×D4311yescharacteristic
1579C22C2×#1306337111yescharacteristic
1580C22C2×#1306337111yescharacteristic
1581C222−1+4×D4311yescharacteristic
1582C22#1458373411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—862no—
1597C4—1721no—
1598C4—1721no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C2—24no—
1609C2—81no—
1610C2—3441no—
1611C2—3441no—
1612C2—1722no—
1613C2—1722no—
1614C2C2×#1458350411yescharacteristic
1615C2#1914829811yescharacteristic
1616C2#1914842511yescharacteristic
1617C2#1914874611yescharacteristic
1618C2#1914878611yescharacteristic
1619C2#1914880211yescharacteristic
1620C2#1914881911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2318C2
hypercenter#2318D43
hypocenterC43#36777
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #19142890C2semidirect
2. #19142876C2semidirect
3. #19142246C2semidirect
4. #19142246C2semidirect
5. #19142071C2semidirect
6. #19141983C2semidirect
7. #19141876C2semidirect
8. #19141815C2semidirect
9. #19141805C2semidirect
10. #19141734C2semidirect
11. #19141666C2semidirect
12. #19141356C2semidirect
13. #19141299C2semidirect
14. #19141280C2semidirect
15. #19141205C2semidirect
16. #19141205C2semidirect
17. #19141031C2semidirect
18. #19140828C2semidirect
19. #19140381C2semidirect
20. #19140343C2semidirect
21. #19139521C2semidirect
22. #19139481C2semidirect
23. #19138319C2semidirect
24. #19138148C2semidirect
25. #19138133C2semidirect
26. #19138074C2semidirect
27. #19138059C2semidirect
28. #19138035C2semidirect
29. #19137298C2semidirect
30. C2×#14582773C2semidirect
31. C43×#2318C2semidirect
33. C2×#13063317C22semidirect
41. C2×#13063299C22semidirect
56. #14582841C22semidirect
57. #14582841C22semidirect
58. #14582841C22semidirect
59. #14582841C22semidirect
60. #14582841C22semidirect
64. #14582834C22semidirect
65. #14582834C22semidirect
66. #14582833C22semidirect
67. #14582833C22semidirect
68. #14582833C22semidirect
69. #14582833C22semidirect
70. #14582833C22semidirect
71. #14582832C22semidirect
72. #14582832C22semidirect
73. #14582832C22semidirect
75. #14582828C22semidirect
76. #14582828C22semidirect
77. #14582828C22semidirect
78. #14582828C22semidirect
79. #14582825C22semidirect
81. #14582823C22semidirect
82. #14582823C22semidirect
83. #14582822C22semidirect
84. #14582822C22semidirect
85. #14582822C22semidirect
88. #14582821C22semidirect
89. #14582821C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
98. #14582814C22semidirect
99. #14582814C22semidirect
100. #14582814C22semidirect
108. #14582801C22semidirect
110. #14582797C22semidirect
111. #14582797C22semidirect
112. #14582797C22semidirect
113. #14582796C22semidirect
114. #14582792C22semidirect
115. #14582791C22semidirect
116. #14582791C22semidirect
122. #14582786C22semidirect
123. #14582785C22semidirect
124. #14582784C22semidirect
125. #14582784C22semidirect
136. #14582777C22semidirect
137. #14582777C22semidirect
142. #14582775C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
157. #14582770C22semidirect
158. #14582765C22semidirect
161. #14582761C22semidirect
164. #14582759C22semidirect
167. #14582758C22semidirect
173. C43×#388C22semidirect
174. C43×#388C22semidirect
175. C43×#387C22semidirect
176. C43×#387C22semidirect
181. C43×#383C22semidirect
182. C43×#382C22semidirect
183. C43×#381C22semidirect
184. C43×#380C22semidirect
827. #2318D43semidirect
933. #388C2×D43semidirect
934. #388C2×D43semidirect
939. #387C2×D43semidirect
940. #387C2×D43semidirect
977. #383C2×D43semidirect
979. #382C2×D43semidirect
984. #381C2×D43semidirect
992. #380C2×D43semidirect
997. C43#36777semidirect

Maximal subgroups

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

subgroupindex
#191428902
#191428762
#191422462
#191420712
#191419832
#191418762
#191418152
#191418052
#191417342
#191416662
#191413562
#191412992
#191412802
#191412052
#191410312
#191408282
#191403812
#191403432
#191395212
#191394812
#191383192
#191381482
#191381332
#191380742
#191380592
#191380352
#191372982
C2×#145827732
C43×#23182
#3677743