Finite Group Databasebeta

← #25304969

Subgroups — #25304969

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#19142878C211yesmaximal, characteristic, complemented
3#19142237C211yesmaximal, characteristic, complemented
4#19142237C211yesmaximal, characteristic, complemented
5#19142081C211yesmaximal, characteristic, complemented
6#19141985C211yesmaximal, characteristic, complemented
7#19141868C211yesmaximal, characteristic, complemented
8#19141825C211yesmaximal, characteristic, complemented
9#19141807C211yesmaximal, characteristic, complemented
10#19141733C211yesmaximal, characteristic, complemented
11#19141664C211yesmaximal, characteristic, complemented
12#19141348C211yesmaximal, characteristic, complemented
13#19141292C211yesmaximal, characteristic, complemented
14#19141285C211yesmaximal, characteristic, complemented
15#19141203C211yesmaximal, characteristic, complemented
16#19141203C211yesmaximal, characteristic, complemented
17#19141038C211yesmaximal, characteristic, complemented
18#19140838C211yesmaximal, characteristic, complemented
19#19140381C211yesmaximal, characteristic, complemented
20#19140340C211yesmaximal, characteristic, complemented
21#19139521C211yesmaximal, characteristic, complemented
22#19139487C211yesmaximal, characteristic, complemented
23#19138144C211yesmaximal, characteristic, complemented
24#19138129C211yesmaximal, characteristic, complemented
25#19138078C211yesmaximal, characteristic, complemented
26#19138063C211yesmaximal, characteristic, complemented
27#19138029C211yesmaximal, characteristic, complemented
28#19137295C211yesmaximal, characteristic, complemented
29#19137222C211yesmaximal, characteristic, complemented
30C2×#14582770C211yesmaximal, characteristic, complemented
31C43×#2442C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063310C2211yescharacteristic
34C2×#13063310C2211yescharacteristic
35C2×#13063310C2211yescharacteristic
36C2×#13063309C2211yescharacteristic
37C2×#13063309C2211yescharacteristic
38C2×#13063309C2211yescharacteristic
39C2×#13063300C2211yescharacteristic
40C2×#13063300C2211yescharacteristic
41C2×#13063300C2211yescharacteristic
42C2×#13063300C2211yescharacteristic, complemented
43C2×#13063299C2211yescharacteristic
44C2×#13063299C2211yescharacteristic
45C2×#13063299C2211yescharacteristic
46C2×#13063295C2211yescharacteristic
47C2×#13063295C2211yescharacteristic
48C2×#13063295C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C22×Dic43⋊C4C2211yescharacteristic
53C22×(C2×D43)⋊C4C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55#14582841C2211yescharacteristic, complemented
56#14582841C2211yescharacteristic, complemented
57#14582841C2211yescharacteristic, complemented
58#14582836C2211yescharacteristic
59#14582836C2211yescharacteristic
60#14582834C2211yescharacteristic
61#14582834C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic, complemented
63#14582832C2211yescharacteristic, complemented
64#14582832C2211yescharacteristic, complemented
65#14582832C2211yescharacteristic, complemented
66#14582831C2211yescharacteristic, complemented
67#14582831C2211yescharacteristic, complemented
68#14582831C2211yescharacteristic, complemented
69#14582828C2211yescharacteristic
70#14582828C2211yescharacteristic, complemented
71#14582828C2211yescharacteristic, complemented
72#14582828C2211yescharacteristic, complemented
73#14582826C2211yescharacteristic, complemented
74#14582825C2211yescharacteristic, complemented
75#14582821C2211yescharacteristic
76#14582821C2211yescharacteristic
77#14582821C2211yescharacteristic
78#14582821C2211yescharacteristic, complemented
79#14582821C2211yescharacteristic, complemented
80#14582821C2211yescharacteristic, complemented
81#14582821C2211yescharacteristic, complemented
82#14582821C2211yescharacteristic, complemented
83#14582821C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582817C2211yescharacteristic
86#14582817C2211yescharacteristic
87#14582817C2211yescharacteristic, complemented
88#14582817C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic
90#14582816C2211yescharacteristic
91#14582816C2211yescharacteristic
92#14582816C2211yescharacteristic
93#14582816C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic, complemented
95#14582816C2211yescharacteristic, complemented
96#14582809C2211yescharacteristic
97#14582809C2211yescharacteristic
98#14582809C2211yescharacteristic
99#14582801C2211yescharacteristic
100#14582801C2211yescharacteristic
101#14582801C2211yescharacteristic
102#14582801C2211yescharacteristic
103#14582800C2211yescharacteristic
104#14582800C2211yescharacteristic, complemented
105#14582798C2211yescharacteristic, complemented
106#14582798C2211yescharacteristic, complemented
107#14582791C2211yescharacteristic
108#14582791C2211yescharacteristic
109#14582791C2211yescharacteristic
110#14582791C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic
114#14582789C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582788C2211yescharacteristic
117#14582786C2211yescharacteristic, complemented
118#14582785C2211yescharacteristic, complemented
119#14582783C2211yescharacteristic, complemented
120#14582783C2211yescharacteristic, complemented
121#14582782C2211yescharacteristic, complemented
122#14582782C2211yescharacteristic, complemented
123#14582778C2211yescharacteristic
124#14582778C2211yescharacteristic
125#14582777C2211yescharacteristic
126#14582777C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic, complemented
136#14582777C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic, complemented
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic
141#14582776C2211yescharacteristic
142#14582771C2211yescharacteristic
143#14582771C2211yescharacteristic
144#14582770C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582766C2211yescharacteristic, complemented
158#14582763C2211yescharacteristic, complemented
159#14582761C2211yescharacteristic
160#14582761C2211yescharacteristic
161#14582761C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic, complemented
163#14582760C2211yescharacteristic
164#14582758C2211yescharacteristic, complemented
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167#14582756C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#125×C43C2211yescharacteristic, complemented
173C22×C4⋊C4×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic, complemented
175C43×#400C2211yescharacteristic, complemented
176C43×#398C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#389C2211yescharacteristic, complemented
179C43×#389C2211yescharacteristic, complemented
180C43×#385C2211yescharacteristic
181C43×#385C2211yescharacteristic
182C43×#382C2211yescharacteristic, complemented
183C43×#380C2211yescharacteristic
184C43×#380C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
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
212C22×C4×D43C2311yescharacteristic
213#13063310—42no—
214#13063310—42no—
215#13063310—42no—
216#13063309—42no—
217#13063309—42no—
218#13063309—42no—
219#13063300—42no—
220#13063300—42no—
221#13063300—42no—
222#13063300—42no—
223#13063299—24no—
224#13063299—42no—
225#13063299—42no—
226#13063295—42no—
227#13063295—42no—
228#13063295—42no—
229C4×C22⋊D43—24no—
230(C22⋊D43)⋊C4—42no—
231(C22⋊D43)⋊C4—42no—
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×Dic43⋊C4—42no—
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×C22⋊Dic43C2311yescharacteristic
254C2×(C2×D43)⋊C4—24no—
255C2×(C2×D43)⋊C4—42no—
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
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
332C23×C4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335#125×C43—42no—
336C2×C4⋊C4×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×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C42×C43C2311yescharacteristic
356C2×C42×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
370C23×D43—22no—
371C23×D43—22no—
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—41no—
376C23×D43—41no—
377C23×D43C2411yescharacteristic
378C23×D43C2411yescharacteristic
379C23×D43C2411yescharacteristic
380C23×D43C2411yescharacteristic
381C23×D43C2411yescharacteristic
382C22×C4×C43—22no—
383C22×C4×C43—22no—
384C22×C4×C43—22no—
385C22×C4×C43—41no—
386C22×C4×C43—41no—
387C22×C4×C43—41no—
388C22×C4×C43—41no—
389C22×C4×C43—41no—
390C22×C4×C43#4114yes—
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
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
405C2×C22⋊D43—22no—
406C2×C22⋊D43—22no—
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—
414C22×Dic43—22no—
415C22×Dic43—22no—
416C22×Dic43—22no—
417C22×Dic43—22no—
418C22×Dic43—22no—
419C22×Dic43—41no—
420C22×Dic43—41no—
421C22×Dic43—41no—
422C22×Dic43—41no—
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C2×D172—22no—
435C2×D172—22no—
436C2×D172—22no—
437C2×D172—22no—
438C2×D172—22no—
439C2×D172—22no—
440C2×D172—22no—
441C2×D172—22no—
442C2×D172—41no—
443C2×D172—41no—
444C2×D172—41no—
445C2×D172—41no—
446C2×D172—41no—
447C2×D172—41no—
448C2×D172—41no—
449C2×D172—41no—
450C2×D172—41no—
451C2×D172—41no—
452C2×D172—41no—
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×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—41no—
467C2×C4×D43—41no—
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—22no—
485C4⋊C4×C43—22no—
486C4⋊C4×C43—22no—
487C4⋊C4×C43—41no—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C4⋊C4×C43—41no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C42×C43—41no—
502C42×C43—41no—
503C22⋊Dic43—22no—
504(C2×D43)⋊C4—22no—
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—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549C4⋊Dic43—22no—
550C4⋊Dic43—41no—
551C4⋊Dic43—41no—
552C4⋊Dic43—41no—
553C4⋊Dic43—41no—
554C4⋊Dic43—41no—
555C4⋊Dic43—41no—
556C4⋊Dic43—41no—
557C4⋊Dic43—41no—
558Dic43⋊C4—22no—
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—
569C4×Dic43—22no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43C2×#4112yes—
577C23×C43H(5,𝔽2)12yes—
578C23×C43H(5,𝔽2)12yes—
579C23×C43C2511yescharacteristic
580C22×D43—28no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—21no—
586C22×D43—21no—
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—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—
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—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—44no—
662C2×C4×C43—44no—
663C2×C4×C43—82no—
664C2×C4×C43C2×#4112yes—
665C2×C4×C43C2×#4112yes—
666C2×C4×C43H(5,𝔽2)12yes—
667C22⋊D43—44no—
668C22⋊D43—44no—
669C22⋊D43—44no—
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—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—44no—
704C2×Dic43—44no—
705C2×Dic43—82no—
706D172—82no—
707D172—82no—
708D172—82no—
709D172—82no—
710D172—82no—
711D172—82no—
712D172—82no—
713D172—82no—
714D172—82no—
715C4×D43—44no—
716C4×D43—44no—
717C4×D43—44no—
718C4×D43—44no—
719C4×D43—82no—
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#54014yes—
730C22×C43C22×#4111yescharacteristic
731C22×C43C2×H(5,𝔽2)11yescharacteristic
732C22×C43C2×H(5,𝔽2)11yescharacteristic
733C22×C43C2×H(5,𝔽2)11yescharacteristic
734C22×C43C2×H(5,𝔽2)11yescharacteristic
735C22×C43C2×2−1+411yescharacteristic
736C22×C43#58511yescharacteristic
737C2×D43—22no—
738C2×D43—22no—
739C2×D43—22no—
740C2×D43—22no—
741C2×D43—22no—
742C2×D43—22no—
743C2×D43—416no—
744C2×D43—41no—
745C2×D43—41no—
746C2×D43—41no—
747C2×D43—41no—
748C2×D43—41no—
749C2×D43—41no—
750C2×D43—41no—
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—22no—
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—
786C4×C43—41no—
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#2442D4311yescharacteristic, complemented
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×C43C2×#54011yescharacteristic
831C2×C43#349211yescharacteristic
832C2×C43#350511yescharacteristic
833C2×C43#353211yescharacteristic
834C2×C43#353411yescharacteristic
835C2×C43#353511yescharacteristic
836C2×C43#353611yescharacteristic
837D43—42no—
838D43—42no—
839D43—81no—
840D43—81no—
841D43—81no—
842C24×C4—431no—
843C2×#125C2×D4311yescharacteristic, complemented
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×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#399—431no—
876#399—431no—
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#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#389C2×D4311yescharacteristic, complemented
924#389C2×D4311yescharacteristic, complemented
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#386—431no—
959#386—431no—
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#382C2×D4311yescharacteristic, complemented
980#381—431no—
981#381—431no—
982#381—431no—
983#381—431no—
984#381—431no—
985#380—431no—
986#380—431no—
987#380—431no—
988#380—431no—
989#380—431no—
990#380C2×D4311yescharacteristic
991#380C2×D4311yescharacteristic
992#380C2×D4311yescharacteristic
993#379—431no—
994C4×C22⋊C4C2×D4311yescharacteristic
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×D4—431no—
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—42no—
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—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—1722no—
1069C2×C4⋊C4C22×D4311yescharacteristic
1070C2×C4⋊C4C22×D4311yescharacteristic
1071C2×C4⋊C4C22×D4311yescharacteristic
1072C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—864no—
1130C2×C22⋊C4—1722no—
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×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#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—431no—
1185C24—862no—
1186C24—862no—
1187C24—862no—
1188C24—862no—
1189C24—862no—
1190C24—1721no—
1191C24—1721no—
1192C24C23×D4311yescharacteristic
1193C2×D4—862no—
1194C2×D4—862no—
1195C2×D4—862no—
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—431no—
1238C22×C4—431no—
1239C22×C4—431no—
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—862no—
1249C22×C4—862no—
1250C22×C4—862no—
1251C22×C4—862no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—1721no—
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—1721no—
1273C22×C4—1721no—
1274C22×C4—17216no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4—1721no—
1278C22×C4—1721no—
1279C22×C4#1062190214yes—
1280C22×C4C23×D4311yescharacteristic
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—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
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—22no—
1332C22⋊C4—862no—
1333C22⋊C4—862no—
1334C22⋊C4—862no—
1335C22⋊C4—862no—
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—1721no—
1346C22⋊C4—1721no—
1347C22⋊C4—1721no—
1348C22⋊C4—1721no—
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—41no—
1379C42—41no—
1380C42—862no—
1381C42—1721no—
1382C42—1721no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—432no—
1388C23—432no—
1389C23—868no—
1390C23—861no—
1391C23—861no—
1392C23—861no—
1393C23—861no—
1394C23—861no—
1395C23—861no—
1396C23—861no—
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×#1062190212yes—
1430C23#1306337112yes—
1431C23#1306337112yes—
1432C23C24×D4311yescharacteristic
1433D4—3442no—
1434D4—3442no—
1435D4—3442no—
1436D4—3442no—
1437D4—3442no—
1438D4—3442no—
1439D4—3442no—
1440D4—3442no—
1441D4—3442no—
1442D4—1724no—
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—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—3442no—
1521C2×C4—3442no—
1522C2×C4—3442no—
1523C2×C4—3442no—
1524C2×C4—1724no—
1525C2×C4—1724no—
1526C2×C4—1724no—
1527C2×C4—1724no—
1528C2×C4—1724no—
1529C2×C4—1724no—
1530C2×C4C2×#1062190212yes—
1531C2×C4C2×#1062190212yes—
1532C2×C4#1306337012yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—862no—
1540C22—862no—
1541C22—862no—
1542C22—862no—
1543C22—862no—
1544C22—862no—
1545C22—17216no—
1546C22—1721no—
1547C22—1721no—
1548C22—1721no—
1549C22—1721no—
1550C22—1721no—
1551C22—1721no—
1552C22—1721no—
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#1458350514yes—
1576C22C22×#1062190211yescharacteristic
1577C22H(5,𝔽2)×D4311yescharacteristic
1578C22C2×#1306337011yescharacteristic
1579C22C2×#1306337111yescharacteristic
1580C22C2×#1306337111yescharacteristic
1581C222−1+4×D4311yescharacteristic
1582C22#1458373511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
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—3441no—
1610C2—3441no—
1611C2—3441no—
1612C2—1722no—
1613C2—1722no—
1614C2C2×#1458350511yescharacteristic
1615C2#1914830511yescharacteristic
1616C2#1914843611yescharacteristic
1617C2#1914874411yescharacteristic
1618C2#1914877211yescharacteristic
1619C2#1914880711yescharacteristic
1620C2#1914881111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2442C2
hypercenter#2442D43
hypocenterC43#36777
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2442

Complements

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

NH ≅ G/Ntype
1. #19142890C2semidirect
2. #19142878C2semidirect
3. #19142237C2semidirect
4. #19142237C2semidirect
5. #19142081C2semidirect
6. #19141985C2semidirect
7. #19141868C2semidirect
8. #19141825C2semidirect
9. #19141807C2semidirect
10. #19141733C2semidirect
11. #19141664C2semidirect
12. #19141348C2semidirect
13. #19141292C2semidirect
14. #19141285C2semidirect
15. #19141203C2semidirect
16. #19141203C2semidirect
17. #19141038C2semidirect
18. #19140838C2semidirect
19. #19140381C2semidirect
20. #19140340C2semidirect
21. #19139521C2semidirect
22. #19139487C2semidirect
23. #19138144C2semidirect
24. #19138129C2semidirect
25. #19138078C2semidirect
26. #19138063C2semidirect
27. #19138029C2semidirect
28. #19137295C2semidirect
29. #19137222C2semidirect
30. C2×#14582770C2semidirect
31. C43×#2442C2semidirect
42. C2×#13063300C22semidirect
55. #14582841C22semidirect
56. #14582841C22semidirect
57. #14582841C22semidirect
61. #14582834C22semidirect
62. #14582834C22semidirect
63. #14582832C22semidirect
64. #14582832C22semidirect
65. #14582832C22semidirect
66. #14582831C22semidirect
67. #14582831C22semidirect
68. #14582831C22semidirect
70. #14582828C22semidirect
71. #14582828C22semidirect
72. #14582828C22semidirect
73. #14582826C22semidirect
74. #14582825C22semidirect
78. #14582821C22semidirect
79. #14582821C22semidirect
80. #14582821C22semidirect
81. #14582821C22semidirect
82. #14582821C22semidirect
83. #14582821C22semidirect
84. #14582821C22semidirect
87. #14582817C22semidirect
88. #14582817C22semidirect
93. #14582816C22semidirect
94. #14582816C22semidirect
95. #14582816C22semidirect
104. #14582800C22semidirect
105. #14582798C22semidirect
106. #14582798C22semidirect
110. #14582791C22semidirect
111. #14582790C22semidirect
112. #14582790C22semidirect
114. #14582789C22semidirect
115. #14582789C22semidirect
117. #14582786C22semidirect
118. #14582785C22semidirect
119. #14582783C22semidirect
120. #14582783C22semidirect
121. #14582782C22semidirect
122. #14582782C22semidirect
135. #14582777C22semidirect
136. #14582777C22semidirect
137. #14582777C22semidirect
154. #14582770C22semidirect
155. #14582770C22semidirect
156. #14582770C22semidirect
157. #14582766C22semidirect
158. #14582763C22semidirect
161. #14582761C22semidirect
162. #14582761C22semidirect
164. #14582758C22semidirect
167. #14582756C22semidirect
168. #14582756C22semidirect
172. C2×#125×C43C22semidirect
174. C43×#400C22semidirect
175. C43×#400C22semidirect
176. C43×#398C22semidirect
177. C43×#398C22semidirect
178. C43×#389C22semidirect
179. C43×#389C22semidirect
182. C43×#382C22semidirect
820. #2442D43semidirect
843. C2×#125C2×D43semidirect
870. #400C2×D43semidirect
871. #400C2×D43semidirect
883. #398C2×D43semidirect
884. #398C2×D43semidirect
923. #389C2×D43semidirect
924. #389C2×D43semidirect
979. #382C2×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
#191428782
#191422372
#191420812
#191419852
#191418682
#191418252
#191418072
#191417332
#191416642
#191413482
#191412922
#191412852
#191412032
#191410382
#191408382
#191403812
#191403402
#191395212
#191394872
#191381442
#191381292
#191380782
#191380632
#191380292
#191372952
#191372222
C2×#145827702
C43×#24422
#3677743