Finite Group Databasebeta

← #25304975

Subgroups — #25304975

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#19142248C211yesmaximal, characteristic, complemented
4#19142242C211yesmaximal, characteristic, complemented
5#19142068C211yesmaximal, characteristic, complemented
6#19141987C211yesmaximal, characteristic, complemented
7#19141878C211yesmaximal, characteristic, complemented
8#19141817C211yesmaximal, characteristic, complemented
9#19141807C211yesmaximal, characteristic, complemented
10#19141739C211yesmaximal, characteristic, complemented
11#19141658C211yesmaximal, characteristic, complemented
12#19141351C211yesmaximal, characteristic, complemented
13#19141303C211yesmaximal, characteristic, complemented
14#19141282C211yesmaximal, characteristic, complemented
15#19141213C211yesmaximal, characteristic, complemented
16#19141207C211yesmaximal, characteristic, complemented
17#19141024C211yesmaximal, characteristic, complemented
18#19140836C211yesmaximal, characteristic, complemented
19#19140337C211yesmaximal, characteristic, complemented
20#19139525C211yesmaximal, characteristic, complemented
21#19139490C211yesmaximal, characteristic, complemented
22#19138318C211yesmaximal, characteristic, complemented
23#19138150C211yesmaximal, characteristic, complemented
24#19138129C211yesmaximal, characteristic, complemented
25#19138076C211yesmaximal, characteristic, complemented
26#19138055C211yesmaximal, characteristic, complemented
27#19138034C211yesmaximal, characteristic, complemented
28#19137296C211yesmaximal, characteristic, complemented
29#19137223C211yesmaximal, characteristic, complemented
30C2×#14582770C211yesmaximal, characteristic, complemented
31C43×#2623C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063315C2211yescharacteristic, complemented
34C2×#13063310C2211yescharacteristic
35C2×#13063310C2211yescharacteristic
36C2×#13063309C2211yescharacteristic
37C2×#13063308C2211yescharacteristic
38C2×#13063308C2211yescharacteristic
39C2×#13063300C2211yescharacteristic
40C2×#13063299C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063298C2211yescharacteristic, complemented
44C2×#13063297C2211yescharacteristic
45C2×#13063297C2211yescharacteristic
46C2×#13063295C2211yescharacteristic
47C2×#13063295C2211yescharacteristic
48C2×#13063293C2211yescharacteristic
49C2×D4×Dic43C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C22×Dic43⋊C4C2211yescharacteristic
53C22×(C2×D43)⋊C4C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55#14582840C2211yescharacteristic, complemented
56#14582840C2211yescharacteristic, complemented
57#14582839C2211yescharacteristic, complemented
58#14582836C2211yescharacteristic
59#14582834C2211yescharacteristic
60#14582834C2211yescharacteristic
61#14582833C2211yescharacteristic, complemented
62#14582832C2211yescharacteristic, complemented
63#14582832C2211yescharacteristic, complemented
64#14582830C2211yescharacteristic, complemented
65#14582829C2211yescharacteristic, complemented
66#14582829C2211yescharacteristic, complemented
67#14582828C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic, complemented
69#14582826C2211yescharacteristic
70#14582826C2211yescharacteristic, complemented
71#14582823C2211yescharacteristic
72#14582823C2211yescharacteristic
73#14582823C2211yescharacteristic, complemented
74#14582822C2211yescharacteristic, complemented
75#14582821C2211yescharacteristic
76#14582821C2211yescharacteristic, complemented
77#14582821C2211yescharacteristic, complemented
78#14582821C2211yescharacteristic, complemented
79#14582821C2211yescharacteristic, complemented
80#14582821C2211yescharacteristic, complemented
81#14582817C2211yescharacteristic
82#14582817C2211yescharacteristic
83#14582817C2211yescharacteristic
84#14582817C2211yescharacteristic, complemented
85#14582816C2211yescharacteristic
86#14582816C2211yescharacteristic, complemented
87#14582816C2211yescharacteristic, complemented
88#14582815C2211yescharacteristic
89#14582815C2211yescharacteristic
90#14582814C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic, complemented
92#14582809C2211yescharacteristic
93#14582808C2211yescharacteristic
94#14582808C2211yescharacteristic
95#14582800C2211yescharacteristic
96#14582800C2211yescharacteristic
97#14582800C2211yescharacteristic
98#14582799C2211yescharacteristic
99#14582799C2211yescharacteristic
100#14582799C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582796C2211yescharacteristic, complemented
103#14582794C2211yescharacteristic, complemented
104#14582794C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic, complemented
106#14582791C2211yescharacteristic
107#14582791C2211yescharacteristic
108#14582791C2211yescharacteristic
109#14582791C2211yescharacteristic, complemented
110#14582789C2211yescharacteristic, complemented
111#14582789C2211yescharacteristic, complemented
112#14582788C2211yescharacteristic
113#14582788C2211yescharacteristic
114#14582788C2211yescharacteristic, complemented
115#14582786C2211yescharacteristic, complemented
116#14582786C2211yescharacteristic, complemented
117#14582782C2211yescharacteristic, complemented
118#14582781C2211yescharacteristic, complemented
119#14582781C2211yescharacteristic, complemented
120#14582780C2211yescharacteristic, complemented
121#14582778C2211yescharacteristic
122#14582778C2211yescharacteristic
123#14582777C2211yescharacteristic
124#14582777C2211yescharacteristic
125#14582777C2211yescharacteristic
126#14582777C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582776C2211yescharacteristic
131#14582776C2211yescharacteristic
132#14582776C2211yescharacteristic
133#14582776C2211yescharacteristic, complemented
134#14582776C2211yescharacteristic, complemented
135#14582775C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic, complemented
138#14582774C2211yescharacteristic
139#14582773C2211yescharacteristic, complemented
140#14582773C2211yescharacteristic, complemented
141#14582771C2211yescharacteristic
142#14582771C2211yescharacteristic, complemented
143#14582770C2211yescharacteristic
144#14582770C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582766C2211yescharacteristic, complemented
154#14582764C2211yescharacteristic, complemented
155#14582763C2211yescharacteristic, complemented
156#14582761C2211yescharacteristic
157#14582761C2211yescharacteristic
158#14582761C2211yescharacteristic, complemented
159#14582761C2211yescharacteristic, complemented
160#14582759C2211yescharacteristic
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582758C2211yescharacteristic, complemented
164#14582757C2211yescharacteristic
165#14582757C2211yescharacteristic
166#14582757C2211yescharacteristic, complemented
167#14582756C2211yescharacteristic, complemented
168#14582754C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic
173C22×C4⋊C4×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic, complemented
175C43×#400C2211yescharacteristic, complemented
176C43×#399C2211yescharacteristic, complemented
177C43×#399C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#397C2211yescharacteristic, complemented
181C43×#397C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#381C2211yescharacteristic
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
202C23×Dic43C2311yescharacteristic
203C22×C4×D43—42no—
204C22×C4×D43—42no—
205C22×C4×D43—42no—
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212#13063315—42no—
213#13063310—42no—
214#13063310—42no—
215#13063309—42no—
216#13063308—42no—
217#13063308—42no—
218#13063300—42no—
219#13063299—42no—
220#13063298—42no—
221#13063298—42no—
222#13063298—42no—
223#13063297—24no—
224#13063297—42no—
225#13063295—42no—
226#13063295—42no—
227#13063293—42no—
228D4×Dic43—42no—
229(C22⋊D43)⋊C4—24no—
230(C22⋊D43)⋊C4—42no—
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×Dic43⋊C4—42no—
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×(C2×D43)⋊C4—24no—
262C2×(C2×D43)⋊C4—42no—
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×(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×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
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
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C22×D4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336#123×C43—42no—
337C2×C4⋊C4×C43—42no—
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×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊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
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—22no—
389C22×C4×C43—22no—
390C22×C4×C43—41no—
391C22×C4×C43—41no—
392C22×C4×C43—41no—
393C22×C4×C43—41no—
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
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
407C2×C22⋊D43—22no—
408C2×C22⋊D43—22no—
409C2×C22⋊D43—22no—
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—41no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C22×Dic43—22no—
426C22×Dic43—22no—
427C22×Dic43—22no—
428C22×Dic43—41no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43—41no—
433C22×Dic43—41no—
434C22×Dic43—41no—
435C22×Dic43—41no—
436C22×Dic43#4114yes—
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—41no—
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—22no—
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—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊Dic43—22no—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43—41no—
506C22⋊Dic43—41no—
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—22no—
517(C2×D43)⋊C4—22no—
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—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543C4⋊Dic43—41no—
544C4⋊Dic43—41no—
545C4⋊Dic43—41no—
546C4⋊Dic43—41no—
547C4⋊Dic43—41no—
548C4⋊Dic43—41no—
549Dic43⋊C4—22no—
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
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—
567C4×Dic43—22no—
568C4×Dic43—41no—
569C4×Dic43—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—21no—
661C2×C4×C43—21no—
662C2×C4×C43—44no—
663C2×C4×C43—44no—
664C2×C4×C43—82no—
665C22⋊D43—44no—
666C22⋊D43—44no—
667C22⋊D43—82no—
668C22⋊D43—82no—
669C22⋊D43—82no—
670C22⋊D43—82no—
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—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—44no—
705C2×Dic43—44no—
706C2×Dic43—82no—
707C2×Dic43—82no—
708C2×Dic43C2×#4112yes—
709C2×Dic43C2×#4112yes—
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—41no—
774C4×C43—41no—
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—22no—
788Dic43—22no—
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#2623D4311yescharacteristic, complemented
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#2318—431no—
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×#123C2×D4311yescharacteristic
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×D4—431no—
863C22×C4⋊C4—431no—
864C22×C4⋊C4C2×D4311yescharacteristic
865C22×C22⋊C4—431no—
866C22×C22⋊C4—431no—
867#400—431no—
868#400—431no—
869#400—431no—
870#400C2×D4311yescharacteristic, complemented
871#400C2×D4311yescharacteristic, complemented
872#399—431no—
873#399—431no—
874#399—431no—
875#399C2×D4311yescharacteristic, complemented
876#399C2×D4311yescharacteristic, complemented
877#398—431no—
878#398—431no—
879#398—431no—
880#398—431no—
881#398—431no—
882#398—431no—
883#398C2×D4311yescharacteristic, complemented
884#398C2×D4311yescharacteristic, complemented
885#397—431no—
886#397—431no—
887#397—431no—
888#397—431no—
889#397C2×D4311yescharacteristic, complemented
890#397C2×D4311yescharacteristic, complemented
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#388—431no—
934#388—431no—
935#387—431no—
936#387—431no—
937#387—431no—
938#387—431no—
939#387—431no—
940#387—431no—
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#383—431no—
978#382—431no—
979#382—431no—
980#381—431no—
981#381—431no—
982#381—431no—
983#381—431no—
984#381C2×D4311yescharacteristic
985#380—431no—
986#380—431no—
987#380—431no—
988#380—431no—
989#380—431no—
990#380—431no—
991#380—431no—
992#380—431no—
993#379—431no—
994C4×C22⋊C4—431no—
995C2×#95—431no—
996C2×#95—431no—
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—431no—
1021C23×C4—1722no—
1022C23×C4—1722no—
1023C23×C4—1722no—
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026C23×C4C22×D4311yescharacteristic
1027#125—1722no—
1028#123—42no—
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—864no—
1045C4×D4—1722no—
1046C4×D4—1722no—
1047C2×C4⋊C4—42no—
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—1722no—
1073C2×C4⋊C4C22×D4311yescharacteristic
1074C2×C4⋊C4C22×D4311yescharacteristic
1075C2×C4⋊C4C22×D4311yescharacteristic
1076C2×C4⋊C4C22×D4311yescharacteristic
1077C2×C4⋊C4C22×D4311yescharacteristic
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—864no—
1125C2×C22⋊C4—1722no—
1126C2×C22⋊C4C22×D4311yescharacteristic
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×C42—431no—
1138C2×C42—431no—
1139C2×C42—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#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#95—431no—
1167#95—431no—
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—22no—
1233C22×C4—22no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—431no—
1239C22×C4—431no—
1240C22×C4—431no—
1241C22×C4—434no—
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—862no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—1721no—
1260C22×C4—1721no—
1261C22×C4—1721no—
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—17216no—
1273C22×C4—1721no—
1274C22×C4—1721no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4—1721no—
1278C22×C4—1721no—
1279C22×C4—1721no—
1280C22×C4—1721no—
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—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—862no—
1305C4⋊C4—862no—
1306C4⋊C4—862no—
1307C4⋊C4—862no—
1308C4⋊C4—862no—
1309C4⋊C4—862no—
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—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
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—862no—
1350C22⋊C4—862no—
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—862no—
1379C42—1721no—
1380C42—1721no—
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—
1429C23#41×D4312yes—
1430C23#1306337012yes—
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—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—432no—
1488C2×C4—432no—
1489C2×C4—432no—
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—861no—
1523C2×C4—3442no—
1524C2×C4—3442no—
1525C2×C4—3442no—
1526C2×C4—3442no—
1527C2×C4—1724no—
1528C2×C4—1724no—
1529C2×C4—1724no—
1530C2×C4—1724no—
1531C2×C4—1724no—
1532C2×C4—1724no—
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#1458350114yes—
1576C22C2×#41×D4311yescharacteristic
1577C22H(5,𝔽2)×D4311yescharacteristic
1578C22H(5,𝔽2)×D4311yescharacteristic
1579C22C2×#1306337011yescharacteristic
1580C22C2×#1306337111yescharacteristic
1581C222−1+4×D4311yescharacteristic
1582C22#1458373611yescharacteristic
1583C4—41no—
1584C4—41no—
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—862no—
1598C4—862no—
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×#1458350111yescharacteristic
1615C2#1914830011yescharacteristic
1616C2#1914842711yescharacteristic
1617C2#1914874911yescharacteristic
1618C2#1914879011yescharacteristic
1619C2#1914879411yescharacteristic
1620C2#1914881911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2623C2
hypercenter#2623D43
hypocenterC43#36777
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2623

Complements

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

NH ≅ G/Ntype
1. #19142890C2semidirect
2. #19142876C2semidirect
3. #19142248C2semidirect
4. #19142242C2semidirect
5. #19142068C2semidirect
6. #19141987C2semidirect
7. #19141878C2semidirect
8. #19141817C2semidirect
9. #19141807C2semidirect
10. #19141739C2semidirect
11. #19141658C2semidirect
12. #19141351C2semidirect
13. #19141303C2semidirect
14. #19141282C2semidirect
15. #19141213C2semidirect
16. #19141207C2semidirect
17. #19141024C2semidirect
18. #19140836C2semidirect
19. #19140337C2semidirect
20. #19139525C2semidirect
21. #19139490C2semidirect
22. #19138318C2semidirect
23. #19138150C2semidirect
24. #19138129C2semidirect
25. #19138076C2semidirect
26. #19138055C2semidirect
27. #19138034C2semidirect
28. #19137296C2semidirect
29. #19137223C2semidirect
30. C2×#14582770C2semidirect
31. C43×#2623C2semidirect
33. C2×#13063315C22semidirect
43. C2×#13063298C22semidirect
55. #14582840C22semidirect
56. #14582840C22semidirect
57. #14582839C22semidirect
61. #14582833C22semidirect
62. #14582832C22semidirect
63. #14582832C22semidirect
64. #14582830C22semidirect
65. #14582829C22semidirect
66. #14582829C22semidirect
67. #14582828C22semidirect
68. #14582827C22semidirect
70. #14582826C22semidirect
73. #14582823C22semidirect
74. #14582822C22semidirect
76. #14582821C22semidirect
77. #14582821C22semidirect
78. #14582821C22semidirect
79. #14582821C22semidirect
80. #14582821C22semidirect
84. #14582817C22semidirect
86. #14582816C22semidirect
87. #14582816C22semidirect
90. #14582814C22semidirect
91. #14582814C22semidirect
100. #14582799C22semidirect
101. #14582796C22semidirect
102. #14582796C22semidirect
103. #14582794C22semidirect
104. #14582794C22semidirect
105. #14582793C22semidirect
109. #14582791C22semidirect
110. #14582789C22semidirect
111. #14582789C22semidirect
114. #14582788C22semidirect
115. #14582786C22semidirect
116. #14582786C22semidirect
117. #14582782C22semidirect
118. #14582781C22semidirect
119. #14582781C22semidirect
120. #14582780C22semidirect
133. #14582776C22semidirect
134. #14582776C22semidirect
137. #14582775C22semidirect
139. #14582773C22semidirect
140. #14582773C22semidirect
142. #14582771C22semidirect
153. #14582766C22semidirect
154. #14582764C22semidirect
155. #14582763C22semidirect
158. #14582761C22semidirect
159. #14582761C22semidirect
163. #14582758C22semidirect
166. #14582757C22semidirect
167. #14582756C22semidirect
174. C43×#400C22semidirect
175. C43×#400C22semidirect
176. C43×#399C22semidirect
177. C43×#399C22semidirect
178. C43×#398C22semidirect
179. C43×#398C22semidirect
180. C43×#397C22semidirect
181. C43×#397C22semidirect
816. #2623D43semidirect
870. #400C2×D43semidirect
871. #400C2×D43semidirect
875. #399C2×D43semidirect
876. #399C2×D43semidirect
883. #398C2×D43semidirect
884. #398C2×D43semidirect
889. #397C2×D43semidirect
890. #397C2×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
#191422482
#191422422
#191420682
#191419872
#191418782
#191418172
#191418072
#191417392
#191416582
#191413512
#191413032
#191412822
#191412132
#191412072
#191410242
#191408362
#191403372
#191395252
#191394902
#191383182
#191381502
#191381292
#191380762
#191380552
#191380342
#191372962
#191372232
C2×#145827702
C43×#26232
#3677743