Finite Group Databasebeta

← #25304664

Subgroups — #25304664

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142946C211yesmaximal, characteristic, complemented
2#19142928C211yesmaximal, characteristic, complemented
3#19142522C211yesmaximal, characteristic, complemented
4#19142397C211yesmaximal, characteristic, complemented
5#19142283C211yesmaximal, characteristic, complemented
6#19142246C211yesmaximal, characteristic, complemented
7#19141788C211yesmaximal, characteristic, complemented
8#19141704C211yesmaximal, characteristic, complemented
9#19141596C211yesmaximal, characteristic, complemented
10#19141565C211yesmaximal, characteristic, complemented
11#19141514C211yesmaximal, characteristic, complemented
12#19141446C211yesmaximal, characteristic, complemented
13#19141420C211yesmaximal, characteristic, complemented
14#19141237C211yesmaximal, characteristic
15#19141138C211yesmaximal, characteristic, complemented
16#19141083C211yesmaximal, characteristic, complemented
17#19140877C211yesmaximal, characteristic, complemented
18#19140445C211yesmaximal, characteristic, complemented
19#19140445C211yesmaximal, characteristic, complemented
20#19140049C211yesmaximal, characteristic, complemented
21#19140034C211yesmaximal, characteristic, complemented
22#19139745C211yesmaximal, characteristic, complemented
23#19139700C211yesmaximal, characteristic, complemented
24#19139425C211yesmaximal, characteristic, complemented
25#19139413C211yesmaximal, characteristic, complemented
26#19138819C211yesmaximal, characteristic, complemented
27#19138697C211yesmaximal, characteristic, complemented
28#19137388C211yesmaximal, characteristic, complemented
29#19137388C211yesmaximal, characteristic, complemented
30#19137033C211yesmaximal, characteristic, complemented
31C43×#2802C211yesmaximal, characteristic, complemented
32C2×#13063324C2211yescharacteristic
33C2×#13063320C2211yescharacteristic
34C2×#13063319C2211yescharacteristic
35C2×#13063313C2211yescharacteristic
36C2×#13063310C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063310C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063303C2211yescharacteristic
42C2×#13063303C2211yescharacteristic
43C2×#13063300C2211yescharacteristic
44C2×#13063287C2211yescharacteristic
45C2×#13063283C2211yescharacteristic
46C2×C42×D43C2211yescharacteristic
47#14582841C2211yescharacteristic
48#14582841C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582840C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582834C2211yescharacteristic
53#14582834C2211yescharacteristic
54#14582834C2211yescharacteristic
55#14582833C2211yescharacteristic
56#14582830C2211yescharacteristic
57#14582830C2211yescharacteristic
58#14582828C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582828C2211yescharacteristic
63#14582828C2211yescharacteristic
64#14582828C2211yescharacteristic
65#14582825C2211yescharacteristic
66#14582825C2211yescharacteristic
67#14582823C2211yescharacteristic
68#14582821C2211yescharacteristic
69#14582821C2211yescharacteristic
70#14582821C2211yescharacteristic
71#14582821C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582819C2211yescharacteristic
74#14582817C2211yescharacteristic
75#14582817C2211yescharacteristic
76#14582817C2211yescharacteristic
77#14582817C2211yescharacteristic
78#14582816C2211yescharacteristic
79#14582816C2211yescharacteristic
80#14582816C2211yescharacteristic
81#14582816C2211yescharacteristic
82#14582816C2211yescharacteristic
83#14582812C2211yescharacteristic
84#14582812C2211yescharacteristic
85#14582812C2211yescharacteristic
86#14582809C2211yescharacteristic
87#14582809C2211yescharacteristic
88#14582809C2211yescharacteristic
89#14582804C2211yescharacteristic
90#14582803C2211yescharacteristic
91#14582803C2211yescharacteristic
92#14582803C2211yescharacteristic
93#14582801C2211yescharacteristic
94#14582800C2211yescharacteristic
95#14582800C2211yescharacteristic
96#14582800C2211yescharacteristic
97#14582800C2211yescharacteristic
98#14582797C2211yescharacteristic
99#14582795C2211yescharacteristic
100#14582794C2211yescharacteristic
101#14582794C2211yescharacteristic
102#14582791C2211yescharacteristic
103#14582790C2211yescharacteristic
104#14582790C2211yescharacteristic
105#14582790C2211yescharacteristic
106#14582790C2211yescharacteristic
107#14582789C2211yescharacteristic
108#14582789C2211yescharacteristic
109#14582789C2211yescharacteristic
110#14582789C2211yescharacteristic
111#14582789C2211yescharacteristic
112#14582789C2211yescharacteristic
113#14582789C2211yescharacteristic
114#14582789C2211yescharacteristic
115#14582789C2211yescharacteristic
116#14582789C2211yescharacteristic
117#14582788C2211yescharacteristic
118#14582788C2211yescharacteristic
119#14582788C2211yescharacteristic
120#14582788C2211yescharacteristic
121#14582788C2211yescharacteristic
122#14582788C2211yescharacteristic
123#14582788C2211yescharacteristic
124#14582786C2211yescharacteristic
125#14582785C2211yescharacteristic
126#14582785C2211yescharacteristic
127#14582785C2211yescharacteristic
128#14582784C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582781C2211yescharacteristic
131#14582781C2211yescharacteristic
132#14582781C2211yescharacteristic
133#14582781C2211yescharacteristic
134#14582780C2211yescharacteristic
135#14582780C2211yescharacteristic
136#14582780C2211yescharacteristic
137#14582780C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic
144#14582777C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582773C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582768C2211yescharacteristic
157#14582763C2211yescharacteristic
158#14582758C2211yescharacteristic
159#14582758C2211yescharacteristic
160#14582758C2211yescharacteristic
161#14582756C2211yescharacteristic
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582750C2211yescharacteristic
165#14582750C2211yescharacteristic
166#14582750C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic
169#14582746C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582744C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#400C2211yescharacteristic
174C43×#398C2211yescharacteristic
175C43×#398C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#398C2211yescharacteristic
178C43×#389C2211yescharacteristic
179C43×#389C2211yescharacteristic
180C43×#389C2211yescharacteristic
181C43×#389C2211yescharacteristic
182C43×#389C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C43×#387C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201#13063324—42no—
202#13063320—42no—
203#13063319—42no—
204#13063313—42no—
205#13063310—24no—
206#13063310—24no—
207#13063310—42no—
208#13063310—42no—
209#13063303—42no—
210#13063303—42no—
211#13063303—42no—
212#13063300—42no—
213#13063287—24no—
214#13063283—42no—
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×(C2×D43)⋊C4C2311yescharacteristic
238C2×(C2×D43)⋊C4C2311yescharacteristic
239C2×(C2×D43)⋊C4C2311yescharacteristic
240C2×(C2×D43)⋊C4C2311yescharacteristic
241C2×(C2×D43)⋊C4C2311yescharacteristic
242C2×(C2×D43)⋊C4C2311yescharacteristic
243C2×(C2×D43)⋊C4C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C42×D43—42no—
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C2×C4⋊C4×C43C2311yescharacteristic
323C2×C4⋊C4×C43C2311yescharacteristic
324C2×C4⋊C4×C43C2311yescharacteristic
325C2×C4⋊C4×C43C2311yescharacteristic
326C2×C4⋊C4×C43C2311yescharacteristic
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C23×D43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C22×C4×C43C2411yescharacteristic
362C22×C4×C43C2411yescharacteristic
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2411yescharacteristic
365C22×C4×C43C2411yescharacteristic
366C22×C4×C43C2411yescharacteristic
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2411yescharacteristic
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×Dic43C2411yescharacteristic
377C22×Dic43C2411yescharacteristic
378C22×Dic43C2411yescharacteristic
379C22×Dic43C2411yescharacteristic
380C22×Dic43C2411yescharacteristic
381C22×Dic43C2411yescharacteristic
382C22×Dic43C2411yescharacteristic
383C22×Dic43C2411yescharacteristic
384C22×Dic43C2411yescharacteristic
385C22×Dic43C2411yescharacteristic
386C22×Dic43C2411yescharacteristic
387C22×Dic43C2411yescharacteristic
388C2×D172—22no—
389C2×D172—22no—
390C2×D172—22no—
391C2×D172—22no—
392C2×D172—41no—
393C2×D172—41no—
394C2×D172—41no—
395C2×D172—41no—
396C2×D172—41no—
397C2×D172—41no—
398C2×D172—41no—
399C2×D172—41no—
400C2×D172—41no—
401C2×D172—41no—
402C2×D172—41no—
403C2×D172—41no—
404C2×D172—41no—
405C2×D172—41no—
406C2×C4×D43—22no—
407C2×C4×D43—22no—
408C2×C4×D43—22no—
409C2×C4×D43—22no—
410C2×C4×D43—41no—
411C2×C4×D43—41no—
412C2×C4×D43—41no—
413C2×C4×D43—41no—
414C2×C4×D43—41no—
415C2×C4×D43—41no—
416C2×C4×D43—41no—
417C2×C4×D43—41no—
418C2×C4×D43—41no—
419C2×C4×D43—41no—
420C2×C4×D43—41no—
421C2×C4×D43—41no—
422C2×C4×D43—41no—
423C2×C4×D43#4114yes—
424C2×Dic86—22no—
425C2×Dic86—22no—
426C2×Dic86—41no—
427C2×Dic86—41no—
428C2×Dic86—41no—
429C2×Dic86—41no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—22no—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—41no—
435C4⋊C4×C43—41no—
436C4⋊C4×C43—41no—
437C4⋊C4×C43—41no—
438C4⋊C4×C43—41no—
439C4⋊C4×C43—41no—
440C4⋊C4×C43—41no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C4⋊C4×C43—41no—
445C4⋊C4×C43—41no—
446C42×C43—41no—
447C42×C43—41no—
448C42×C43—41no—
449(C2×D43)⋊C4—22no—
450(C2×D43)⋊C4—22no—
451(C2×D43)⋊C4—22no—
452(C2×D43)⋊C4—22no—
453(C2×D43)⋊C4—22no—
454(C2×D43)⋊C4—22no—
455(C2×D43)⋊C4—22no—
456(C2×D43)⋊C4—22no—
457(C2×D43)⋊C4—22no—
458(C2×D43)⋊C4—22no—
459(C2×D43)⋊C4—22no—
460(C2×D43)⋊C4—22no—
461(C2×D43)⋊C4—22no—
462(C2×D43)⋊C4—22no—
463(C2×D43)⋊C4—22no—
464(C2×D43)⋊C4—41no—
465(C2×D43)⋊C4—41no—
466(C2×D43)⋊C4—41no—
467(C2×D43)⋊C4—41no—
468(C2×D43)⋊C4—41no—
469(C2×D43)⋊C4—41no—
470(C2×D43)⋊C4—41no—
471(C2×D43)⋊C4—41no—
472(C2×D43)⋊C4—41no—
473(C2×D43)⋊C4—41no—
474(C2×D43)⋊C4—41no—
475(C2×D43)⋊C4—41no—
476(C2×D43)⋊C4—41no—
477(C2×D43)⋊C4—41no—
478(C2×D43)⋊C4—41no—
479(C2×D43)⋊C4—41no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482(C2×D43)⋊C4—41no—
483(C2×D43)⋊C4—41no—
484(C2×D43)⋊C4—41no—
485(C2×D43)⋊C4—41no—
486(C2×D43)⋊C4—41no—
487(C2×D43)⋊C4—41no—
488(C2×D43)⋊C4—41no—
489(C2×D43)⋊C4—41no—
490(C2×D43)⋊C4—41no—
491C4⋊Dic43—22no—
492C4⋊Dic43—41no—
493C4⋊Dic43—41no—
494C4⋊Dic43—41no—
495Dic43⋊C4—22no—
496Dic43⋊C4—22no—
497Dic43⋊C4—22no—
498Dic43⋊C4—22no—
499Dic43⋊C4—22no—
500Dic43⋊C4—22no—
501Dic43⋊C4—22no—
502Dic43⋊C4—22no—
503Dic43⋊C4—41no—
504Dic43⋊C4—41no—
505Dic43⋊C4—41no—
506Dic43⋊C4—41no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513C4×Dic43—22no—
514C4×Dic43—22no—
515C4×Dic43—22no—
516C4×Dic43—41no—
517C4×Dic43—41no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43C2511yescharacteristic
524C22×D43—21no—
525C22×D43—21no—
526C22×D43—21no—
527C22×D43—21no—
528C22×D43—21no—
529C22×D43—21no—
530C22×D43—21no—
531C22×D43—21no—
532C22×D43—21no—
533C22×D43—21no—
534C22×D43—21no—
535C22×D43—21no—
536C22×D43—21no—
537C22×D43—21no—
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—21no—
543C22×D43—21no—
544C22×D43—21no—
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43C2×#4112yes—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43C2×#4112yes—
596C2×C4×C432−1+412yes—
597C2×Dic43—21no—
598C2×Dic43—21no—
599C2×Dic43—21no—
600C2×Dic43—21no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43C2×#4112yes—
631C2×Dic43H(5,𝔽2)12yes—
632C2×Dic43H(5,𝔽2)12yes—
633D172—44no—
634D172—82no—
635D172—82no—
636D172—82no—
637D172—82no—
638D172—82no—
639C4×D43—44no—
640C4×D43—44no—
641C4×D43—44no—
642C4×D43—44no—
643C4×D43—82no—
644C4×D43—82no—
645Dic86—82no—
646Dic86—82no—
647#36767—431nomaximal, Sylow
648C22×C43C22×#4111yescharacteristic
649C22×C43C2×H(5,𝔽2)11yescharacteristic
650C22×C43C2×H(5,𝔽2)11yescharacteristic
651C22×C43C2×2−1+411yescharacteristic
652C22×C43#58511yescharacteristic
653C22×C43#58511yescharacteristic
654C22×C43#58511yescharacteristic
655C2×D43—22no—
656C2×D43—22no—
657C2×D43—22no—
658C2×D43—41no—
659C2×D43—41no—
660C2×D43—41no—
661C2×D43—41no—
662C2×D43—41no—
663C2×D43—41no—
664C2×D43—41no—
665C2×D43—41no—
666C2×D43—41no—
667C2×D43—41no—
668C2×D43—41no—
669C2×D43—41no—
670C2×D43—41no—
671C2×D43—41no—
672C2×D43—41no—
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—41no—
677C2×D43—41no—
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C4×C43—22no—
684C4×C43—22no—
685C4×C43—41no—
686C4×C43—41no—
687C4×C43—41no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698Dic43—22no—
699Dic43—22no—
700Dic43—22no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710#2857—431no—
711#2854—431no—
712#2803—431no—
713#2802D4311yescharacteristic, complemented
714#2793—431no—
715#2783—431no—
716#2780—431no—
717#2747—431no—
718#2741—431no—
719#2730—431no—
720#2728—431no—
721#2723—431no—
722#2718—431no—
723#2716—431no—
724#2703—431no—
725#2696—431no—
726#2691—431no—
727#2674—431no—
728#2630—431no—
729#2630—431no—
730#2589—431no—
731#2588—431no—
732#2560—431no—
733#2557—431no—
734#2530—431no—
735#2529—431no—
736#2479—431no—
737#2470—431no—
738#2335—431no—
739#2335—431no—
740#2290—431no—
741C2×C43#345511yescharacteristic
742C2×C43#350511yescharacteristic
743C2×C43#351111yescharacteristic
744C2×C43#353511yescharacteristic
745C2×C43#354211yescharacteristic
746C2×C43#355711yescharacteristic
747C2×C43#356211yescharacteristic
748D43—42no—
749D43—81no—
750D43—81no—
751D43—81no—
752C2×C4⋊Q8—431no—
753C2×#126—431no—
754C2×#126—431no—
755C2×#124—431no—
756C2×#123—431no—
757C2×#123—431no—
758C2×#123—431no—
759C2×#123—431no—
760C2×C22⋊Q8—431no—
761C2×C22⋊Q8—431no—
762C2×C22⋊Q8—431no—
763C2×#121—431no—
764C2×C4×D4—431no—
765C2×#117—431no—
766C22×C42—431no—
767#400—431no—
768#400—431no—
769#400—431no—
770#400—431no—
771#400—431no—
772#400C2×D4311yescharacteristic
773#400C2×D4311yescharacteristic
774#399—431no—
775#399—431no—
776#399—431no—
777#398—431no—
778#398—431no—
779#398—431no—
780#398C2×D4311yescharacteristic
781#398C2×D4311yescharacteristic
782#398C2×D4311yescharacteristic
783#398C2×D4311yescharacteristic
784#397—431no—
785#397—431no—
786#397—431no—
787#397—431no—
788#397—431no—
789#397—431no—
790#397—431no—
791#397—431no—
792#397—431no—
793#396—431no—
794#396—431no—
795#396—431no—
796#396—431no—
797#396—431no—
798#396—431no—
799#395—431no—
800#394—431no—
801#394—431no—
802#394—431no—
803#394—431no—
804#394—431no—
805#394—431no—
806#394—431no—
807#394—431no—
808#394—431no—
809#393—431no—
810#393—431no—
811#393—431no—
812#392—431no—
813#392—431no—
814#392—431no—
815#391—431no—
816#391—431no—
817#391—431no—
818#391—431no—
819#390—431no—
820#390—431no—
821#390—431no—
822#390—431no—
823#390—431no—
824#389—431no—
825#389—431no—
826#389—431no—
827#389—431no—
828#389C2×D4311yescharacteristic
829#389C2×D4311yescharacteristic
830#389C2×D4311yescharacteristic
831#389C2×D4311yescharacteristic
832#389C2×D4311yescharacteristic
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#388—431no—
844#388—431no—
845#388—431no—
846#388—431no—
847#388—431no—
848#388—431no—
849#388—431no—
850#388—431no—
851#388—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387—431no—
862#387—431no—
863#387—431no—
864#387—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387C2×D4311yescharacteristic
870#387C2×D4311yescharacteristic
871#387C2×D4311yescharacteristic
872#387C2×D4311yescharacteristic
873#386—431no—
874#386—431no—
875#386—431no—
876#386—431no—
877#386—431no—
878#386—431no—
879#386—431no—
880#386—431no—
881#386—431no—
882#386—431no—
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#385—431no—
888#385—431no—
889#385—431no—
890#385—431no—
891#384—431no—
892#382—431no—
893#380—431no—
894#380—431no—
895#380—431no—
896#380—431no—
897#380—431no—
898#380—431no—
899C4×C4⋊C4—431no—
900C4×C4⋊C4—431no—
901C4×C4⋊C4—431no—
902C4×C22⋊C4—431no—
903C4×C22⋊C4—431no—
904C4×C22⋊C4—431no—
905C4×C22⋊C4—431no—
906#376—431no—
907C43#3676711yescharacteristic, complemented, Sylow
908C22×Q8—431no—
909C22×Q8—431no—
910C22×D4—431no—
911C22×D4—431no—
912C22×D4—431no—
913C22×D4—431no—
914C22×D4—431no—
915C22×D4—431no—
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C4⋊Q8—1722no—
923#126—1722no—
924#126—1722no—
925#124—1722no—
926#123—864no—
927#123—864no—
928#123—1722no—
929#123—1722no—
930C22⋊Q8—1722no—
931C22⋊Q8—1722no—
932C22⋊Q8—1722no—
933#121—1722no—
934C4×D4—864no—
935#117—1722no—
936C2×C4⋊C4—431no—
937C2×C4⋊C4—431no—
938C2×C4⋊C4—431no—
939C2×C4⋊C4—431no—
940C2×C4⋊C4—431no—
941C2×C4⋊C4—431no—
942C2×C4⋊C4—431no—
943C2×C4⋊C4—431no—
944C2×C4⋊C4—431no—
945C2×C4⋊C4—431no—
946C2×C4⋊C4—431no—
947C2×C4⋊C4—431no—
948C2×C4⋊C4—431no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—431no—
956C2×C4⋊C4—431no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4C22×D4311yescharacteristic
959C2×C4⋊C4C22×D4311yescharacteristic
960C2×C4⋊C4C22×D4311yescharacteristic
961C2×C4⋊C4C22×D4311yescharacteristic
962C2×C4⋊C4C22×D4311yescharacteristic
963C2×C4⋊C4C22×D4311yescharacteristic
964C2×C4⋊C4C22×D4311yescharacteristic
965C2×C4⋊C4C22×D4311yescharacteristic
966C2×C4⋊C4C22×D4311yescharacteristic
967C2×C4⋊C4C22×D4311yescharacteristic
968C2×C4⋊C4C22×D4311yescharacteristic
969C2×C4⋊C4C22×D4311yescharacteristic
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C22⋊C4—431no—
975C2×C22⋊C4—431no—
976C2×C22⋊C4—431no—
977C2×C22⋊C4—431no—
978C2×C22⋊C4—431no—
979C2×C22⋊C4—431no—
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4—431no—
1004C2×C22⋊C4—431no—
1005C2×C22⋊C4—431no—
1006C2×C22⋊C4—431no—
1007C2×C22⋊C4—431no—
1008C2×C22⋊C4—431no—
1009C2×C22⋊C4—431no—
1010C2×C22⋊C4—431no—
1011C2×C22⋊C4—431no—
1012C2×C22⋊C4—431no—
1013C2×C22⋊C4—431no—
1014C2×C22⋊C4—431no—
1015C2×C22⋊C4—431no—
1016C2×C42—431no—
1017C2×C42—431no—
1018C2×C42—431no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—431no—
1023C2×C42—431no—
1024C2×C42—431no—
1025C2×C42—431no—
1026C2×C42—1722no—
1027C2×C42C22×D4311yescharacteristic
1028C2×C42C22×D4311yescharacteristic
1029C2×C42C22×D4311yescharacteristic
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95—431no—
1047#95—431no—
1048#95—431no—
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95C22×D4311yescharacteristic
1063#95C22×D4311yescharacteristic
1064#95C22×D4311yescharacteristic
1065#95C22×D4311yescharacteristic
1066#95C22×D4311yescharacteristic
1067#95C22×D4311yescharacteristic
1068#95C22×D4311yescharacteristic
1069#95C22×D4311yescharacteristic
1070#95C22×D4311yescharacteristic
1071#95C22×D4311yescharacteristic
1072#95C22×D4311yescharacteristic
1073#95C22×D4311yescharacteristic
1074#95C22×D4311yescharacteristic
1075#95C22×D4311yescharacteristic
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078C24—431no—
1079C24—431no—
1080C24—431no—
1081C24—431no—
1082C2×Q8—862no—
1083C2×Q8—862no—
1084C2×Q8—1721no—
1085C2×Q8—1721no—
1086C2×Q8—1721no—
1087C2×Q8—1721no—
1088C2×D4—862no—
1089C2×D4—862no—
1090C2×D4—862no—
1091C2×D4—862no—
1092C2×D4—1721no—
1093C2×D4—1721no—
1094C2×D4—1721no—
1095C2×D4—1721no—
1096C2×D4—1721no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C2×D4—1721no—
1103C2×D4—1721no—
1104C2×D4—1721no—
1105C2×D4—1721no—
1106C22×C4—431no—
1107C22×C4—431no—
1108C22×C4—431no—
1109C22×C4—434no—
1110C22×C4—431no—
1111C22×C4—431no—
1112C22×C4—431no—
1113C22×C4—431no—
1114C22×C4—431no—
1115C22×C4—431no—
1116C22×C4—431no—
1117C22×C4—431no—
1118C22×C4—431no—
1119C22×C4—862no—
1120C22×C4—862no—
1121C22×C4—862no—
1122C22×C4—862no—
1123C22×C4—1721no—
1124C22×C4—1721no—
1125C22×C4—1721no—
1126C22×C4—1721no—
1127C22×C4—1721no—
1128C22×C4—1721no—
1129C22×C4—1721no—
1130C22×C4—1721no—
1131C22×C4—1721no—
1132C22×C4—1721no—
1133C22×C4—1721no—
1134C22×C4—1721no—
1135C22×C4—1721no—
1136C22×C4C23×D4311yescharacteristic
1137C22×C4C23×D4311yescharacteristic
1138C22×C4C23×D4311yescharacteristic
1139C22×C4C23×D4311yescharacteristic
1140C22×C4C23×D4311yescharacteristic
1141C22×C4C23×D4311yescharacteristic
1142C22×C4C23×D4311yescharacteristic
1143C22×C4C23×D4311yescharacteristic
1144C22×C4C23×D4311yescharacteristic
1145C22×C4C23×D4311yescharacteristic
1146C22×C4C23×D4311yescharacteristic
1147C22×C4C23×D4311yescharacteristic
1148C22×C4C23×D4311yescharacteristic
1149C22×C4C23×D4311yescharacteristic
1150C22×C4C23×D4311yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—862no—
1168C4⋊C4—862no—
1169C4⋊C4—862no—
1170C4⋊C4—862no—
1171C4⋊C4—862no—
1172C4⋊C4—862no—
1173C4⋊C4—862no—
1174C4⋊C4—862no—
1175C4⋊C4—862no—
1176C4⋊C4—1721no—
1177C4⋊C4—1721no—
1178C4⋊C4—1721no—
1179C4⋊C4—1721no—
1180C4⋊C4—1721no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C22⋊C4—862no—
1190C22⋊C4—862no—
1191C22⋊C4—862no—
1192C22⋊C4—862no—
1193C22⋊C4—862no—
1194C22⋊C4—862no—
1195C22⋊C4—862no—
1196C22⋊C4—862no—
1197C22⋊C4—862no—
1198C22⋊C4—862no—
1199C22⋊C4—862no—
1200C22⋊C4—862no—
1201C22⋊C4—862no—
1202C22⋊C4—862no—
1203C22⋊C4—862no—
1204C22⋊C4—1721no—
1205C22⋊C4—1721no—
1206C22⋊C4—1721no—
1207C22⋊C4—1721no—
1208C22⋊C4—1721no—
1209C22⋊C4—1721no—
1210C22⋊C4—1721no—
1211C22⋊C4—1721no—
1212C22⋊C4—1721no—
1213C22⋊C4—1721no—
1214C22⋊C4—1721no—
1215C22⋊C4—1721no—
1216C22⋊C4—1721no—
1217C22⋊C4—1721no—
1218C22⋊C4—1721no—
1219C22⋊C4—1721no—
1220C22⋊C4—1721no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C42—41no—
1232C42—41no—
1233C42—41no—
1234C42—862no—
1235C42—862no—
1236C42—862no—
1237C42—1721no—
1238C42—1721no—
1239C42—1721no—
1240C42—1721no—
1241C42—1721no—
1242C42—1721no—
1243C42—1721no—
1244C23—432no—
1245C23—861no—
1246C23—861no—
1247C23—861no—
1248C23—861no—
1249C23—861no—
1250C23—861no—
1251C23—861no—
1252C23—861no—
1253C23—861no—
1254C23—861no—
1255C23—861no—
1256C23—861no—
1257C23—861no—
1258C23—861no—
1259C23—861no—
1260C23—861no—
1261C23—861no—
1262C23—861no—
1263C23—861no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23—861no—
1272C23C24×D4311yescharacteristic
1273Q8—3442no—
1274Q8—3442no—
1275D4—3442no—
1276D4—3442no—
1277D4—3442no—
1278D4—3442no—
1279D4—3442no—
1280D4—1724no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—432no—
1325C2×C4—432no—
1326C2×C4—432no—
1327C2×C4—861no—
1328C2×C4—861no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—3442no—
1361C2×C4—3442no—
1362C2×C4—1724no—
1363C2×C4—1724no—
1364C2×C4—1724no—
1365C2×C4—1724no—
1366C2×C4#41×D4312yes—
1367C2×C4#1306337312yes—
1368C22—862no—
1369C22—862no—
1370C22—862no—
1371C22—1721no—
1372C22—1721no—
1373C22—1721no—
1374C22—1721no—
1375C22—1721no—
1376C22—1721no—
1377C22—1721no—
1378C22—1721no—
1379C22—1721no—
1380C22—1721no—
1381C22—1721no—
1382C22—1721no—
1383C22—1721no—
1384C22—1721no—
1385C22—1721no—
1386C22—1721no—
1387C22—1721no—
1388C22—1721no—
1389C22—1721no—
1390C22—1721no—
1391C22—1721no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22C2×#41×D4311yescharacteristic
1397C22H(5,𝔽2)×D4311yescharacteristic
1398C22H(5,𝔽2)×D4311yescharacteristic
1399C22C2×#1306337311yescharacteristic
1400C22#1458373511yescharacteristic
1401C22#1458373611yescharacteristic
1402C22#1458373611yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—862no—
1419C4—862no—
1420C4—862no—
1421C4—1721no—
1422C4—1721no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C2—3441no—
1431C2—3441no—
1432C2—3441no—
1433C2—1722no—
1434C2#1914798611yescharacteristic
1435C2#1914842811yescharacteristic
1436C2#1914850311yescharacteristic
1437C2#1914880511yescharacteristic
1438C2#1914890811yescharacteristic
1439C2#1914910211yescharacteristic
1440C2#1914917811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2802C2
prime radical#19141237C2
hypercenter#2802D43
hypocenterC43#36767
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2802

Complements

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

NH ≅ G/Ntype
1. #19142946C2semidirect
2. #19142928C2semidirect
3. #19142522C2semidirect
4. #19142397C2semidirect
5. #19142283C2semidirect
6. #19142246C2semidirect
7. #19141788C2semidirect
8. #19141704C2semidirect
9. #19141596C2semidirect
10. #19141565C2semidirect
11. #19141514C2semidirect
12. #19141446C2semidirect
13. #19141420C2semidirect
15. #19141138C2semidirect
16. #19141083C2semidirect
17. #19140877C2semidirect
18. #19140445C2semidirect
19. #19140445C2semidirect
20. #19140049C2semidirect
21. #19140034C2semidirect
22. #19139745C2semidirect
23. #19139700C2semidirect
24. #19139425C2semidirect
25. #19139413C2semidirect
26. #19138819C2semidirect
27. #19138697C2semidirect
28. #19137388C2semidirect
29. #19137388C2semidirect
30. #19137033C2semidirect
31. C43×#2802C2semidirect
713. #2802D43semidirect
907. C43#36767semidirect

Maximal subgroups

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

subgroupindex
#191429462
#191429282
#191425222
#191423972
#191422832
#191422462
#191417882
#191417042
#191415962
#191415652
#191415142
#191414462
#191414202
#191412372
#191411382
#191410832
#191408772
#191404452
#191400492
#191400342
#191397452
#191397002
#191394252
#191394132
#191388192
#191386972
#191373882
#191370332
C43×#28022
#3676743