Finite Group Databasebeta

← #25959945

Subgroups — #25959945

Order 11008.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142549C211yesmaximal, characteristic, complemented
2#19142547C211yesmaximal, characteristic, complemented
3#19141527C211yesmaximal, characteristic, complemented
4#19140964C211yesmaximal, characteristic, complemented
5#19140174C211yesmaximal, characteristic, complemented
6#19140170C211yesmaximal, characteristic, complemented
7#19140005C211yesmaximal, characteristic, complemented
8#19140003C211yesmaximal, characteristic, complemented
9#19139856C211yesmaximal, characteristic, complemented
10#19139852C211yesmaximal, characteristic, complemented
11#19139850C211yesmaximal, characteristic, complemented
12#19138801C211yesmaximal, characteristic, complemented
13#19138798C211yesmaximal, characteristic, complemented
14#19138791C211yesmaximal, characteristic, complemented
15#19138789C211yesmaximal, characteristic, complemented
16#19138696C211yesmaximal, characteristic, complemented
17#19138694C211yesmaximal, characteristic, complemented
18#19138693C211yesmaximal, characteristic, complemented
19#19138692C211yesmaximal, characteristic, complemented
20#19137932C211yesmaximal, characteristic
21#19137928C211yesmaximal, characteristic
22#19137725C211yesmaximal, characteristic, complemented
23#19137723C211yesmaximal, characteristic, complemented
24#19137603C211yesmaximal, characteristic, complemented
25#19137602C211yesmaximal, characteristic, complemented
26#19137601C211yesmaximal, characteristic, complemented
27#19137595C211yesmaximal, characteristic, complemented
28#19137081C211yesmaximal, characteristic
29#19137076C211yesmaximal, characteristic, complemented
30#19137075C211yesmaximal, characteristic, complemented
31C43×#2573C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C2×#13063310C2211yescharacteristic
34C2×#13063309C2211yescharacteristic
35C2×#13063309C2211yescharacteristic
36C2×#13063307C2211yescharacteristic
37C2×#13063305C2211yescharacteristic
38C2×#13063303C2211yescharacteristic
39C2×#13063302C2211yescharacteristic
40C2×#13063302C2211yescharacteristic
41C2×C4×Dic86C2211yescharacteristic
42C2×#13063290C2211yescharacteristic
43C2×#13063283C2211yescharacteristic
44C2×#13063283C2211yescharacteristic
45C2×#13063282C2211yescharacteristic
46C2×#13063282C2211yescharacteristic
47C2×#13063282C2211yescharacteristic
48C22×Dic43⋊C4C2211yescharacteristic
49C2×C4⋊C4×D43C2211yescharacteristic
50C2×C42×D43C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582840C2211yescharacteristic
53#14582840C2211yescharacteristic
54#14582839C2211yescharacteristic
55#14582838C2211yescharacteristic
56#14582837C2211yescharacteristic
57#14582833C2211yescharacteristic
58#14582831C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582827C2211yescharacteristic
62#14582826C2211yescharacteristic
63#14582825C2211yescharacteristic
64#14582823C2211yescharacteristic
65#14582822C2211yescharacteristic
66#14582821C2211yescharacteristic
67#14582820C2211yescharacteristic
68#14582820C2211yescharacteristic
69#14582820C2211yescharacteristic
70#14582820C2211yescharacteristic
71#14582819C2211yescharacteristic
72#14582819C2211yescharacteristic
73#14582817C2211yescharacteristic
74#14582817C2211yescharacteristic
75#14582815C2211yescharacteristic
76#14582814C2211yescharacteristic
77#14582812C2211yescharacteristic
78#14582812C2211yescharacteristic
79#14582805C2211yescharacteristic
80#14582803C2211yescharacteristic
81#14582803C2211yescharacteristic
82#14582803C2211yescharacteristic
83#14582803C2211yescharacteristic
84#14582803C2211yescharacteristic
85#14582799C2211yescharacteristic
86#14582799C2211yescharacteristic
87#14582798C2211yescharacteristic
88#14582798C2211yescharacteristic
89#14582798C2211yescharacteristic
90#14582797C2211yescharacteristic
91#14582797C2211yescharacteristic
92#14582796C2211yescharacteristic
93#14582796C2211yescharacteristic
94#14582796C2211yescharacteristic
95#14582796C2211yescharacteristic
96#14582796C2211yescharacteristic
97#14582795C2211yescharacteristic
98#14582795C2211yescharacteristic
99#14582794C2211yescharacteristic
100#14582794C2211yescharacteristic
101#14582794C2211yescharacteristic
102#14582792C2211yescharacteristic
103#14582791C2211yescharacteristic
104#14582791C2211yescharacteristic
105#14582791C2211yescharacteristic
106#14582789C2211yescharacteristic
107#14582789C2211yescharacteristic
108#14582789C2211yescharacteristic
109#14582788C2211yescharacteristic
110#14582788C2211yescharacteristic
111#14582787C2211yescharacteristic
112#14582786C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582786C2211yescharacteristic
115#14582785C2211yescharacteristic
116#14582785C2211yescharacteristic
117#14582784C2211yescharacteristic
118#14582784C2211yescharacteristic
119#14582784C2211yescharacteristic
120#14582784C2211yescharacteristic
121#14582784C2211yescharacteristic
122#14582783C2211yescharacteristic
123#14582782C2211yescharacteristic
124#14582782C2211yescharacteristic
125#14582782C2211yescharacteristic
126#14582782C2211yescharacteristic
127#14582781C2211yescharacteristic
128#14582781C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582776C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582775C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582774C2211yescharacteristic
138#14582773C2211yescharacteristic
139#14582773C2211yescharacteristic
140#14582773C2211yescharacteristic
141#14582773C2211yescharacteristic
142#14582773C2211yescharacteristic
143#14582773C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582772C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582766C2211yescharacteristic
153#14582761C2211yescharacteristic
154C4⋊C4×Dic43C2211yescharacteristic
155C4⋊C4×Dic43C2211yescharacteristic
156C4×Dic43⋊C4C2211yescharacteristic
157C4×Dic43⋊C4C2211yescharacteristic
158C4×C4⋊Dic43C2211yescharacteristic
159#14582750C2211yescharacteristic
160#14582750C2211yescharacteristic
161C22⋊C4×Dic43C2211yescharacteristic
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C22⋊C4×Dic43C2211yescharacteristic
165C4×(C2×D43)⋊C4C2211yescharacteristic
166C4×(C2×D43)⋊C4C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582746C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#400C2211yescharacteristic
174C43×#397C2211yescharacteristic
175C43×#396C2211yescharacteristic
176C43×#389C2211yescharacteristic
177C43×#388C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#387C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#383C2211yescharacteristic
184C43×#381C2211yescharacteristic
185C4×C4⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C2×#10621898—24no—
188C2×#10621898—42no—
189C2×#10621898—42no—
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204#13063310—42no—
205#13063309—24no—
206#13063309—42no—
207#13063307—24no—
208#13063305—24no—
209#13063303—24no—
210#13063302—24no—
211#13063302—24no—
212C4×Dic86—42no—
213#13063290—42no—
214#13063283—24no—
215#13063283—42no—
216#13063282—24no—
217#13063282—42no—
218#13063282—42no—
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×Dic43⋊C4—42no—
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×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
252C4⋊C4×D43—42no—
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
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
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C42×D43—42no—
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C23×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×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C42×C43C2311yescharacteristic
344C2×C42×C43C2311yescharacteristic
345C2×C42×C43C2311yescharacteristic
346C2×C42×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
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C23×D43C2411yescharacteristic
365C23×D43C2411yescharacteristic
366C22×C4×C43—22no—
367C22×C4×C43—22no—
368C22×C4×C43—41no—
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×C4×C43C2411yescharacteristic
377C22×C4×C43C2411yescharacteristic
378C22×C4×C43C2411yescharacteristic
379C22×C4×C43C2411yescharacteristic
380C22×C4×C43C2411yescharacteristic
381C22×C4×C43C2411yescharacteristic
382C22×C4×C43C2411yescharacteristic
383C2×C22⋊D43—22no—
384C2×C22⋊D43—22no—
385C2×C22⋊D43—41no—
386C2×C22⋊D43—41no—
387C2×C22⋊D43—41no—
388C2×C22⋊D43#4114yes—
389C22×Dic43—22no—
390C22×Dic43—22no—
391C22×Dic43—22no—
392C22×Dic43—41no—
393C22×Dic43—41no—
394C22×Dic43—41no—
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C22×Dic43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C22×Dic43C2411yescharacteristic
404C22×Dic43C2411yescharacteristic
405C22×Dic43C2411yescharacteristic
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409#10621898—416no—
410C2×D172—22no—
411C2×D172—22no—
412C2×D172—41no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
423C2×C4×D43—22no—
424C2×C4×D43—22no—
425C2×C4×D43—22no—
426C2×C4×D43—22no—
427C2×C4×D43—41no—
428C2×C4×D43—41no—
429C2×C4×D43—41no—
430C2×C4×D43—41no—
431C2×Dic86—22no—
432C2×Dic86—22no—
433C2×Dic86—22no—
434C2×Dic86—22no—
435C2×Dic86—22no—
436C2×Dic86—41no—
437C2×Dic86—41no—
438C2×Dic86—41no—
439C2×Dic86—41no—
440C4⋊C4×C43—22no—
441C4⋊C4×C43—22no—
442C4⋊C4×C43—22no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—22no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C22⋊C4×C43—22no—
449C22⋊C4×C43—22no—
450C22⋊C4×C43—22no—
451C22⋊C4×C43—22no—
452C22⋊C4×C43—22no—
453C22⋊C4×C43—41no—
454C42×C43—22no—
455C42×C43—22no—
456C42×C43—41no—
457C42×C43—41no—
458C22⋊Dic43—22no—
459C22⋊Dic43—22no—
460C22⋊Dic43—22no—
461C22⋊Dic43—22no—
462(C2×D43)⋊C4—22no—
463(C2×D43)⋊C4—22no—
464(C2×D43)⋊C4—22no—
465(C2×D43)⋊C4—22no—
466(C2×D43)⋊C4—22no—
467(C2×D43)⋊C4—22no—
468(C2×D43)⋊C4—22no—
469(C2×D43)⋊C4—22no—
470(C2×D43)⋊C4—22no—
471(C2×D43)⋊C4—22no—
472(C2×D43)⋊C4—22no—
473(C2×D43)⋊C4—22no—
474(C2×D43)⋊C4—22no—
475(C2×D43)⋊C4—22no—
476(C2×D43)⋊C4—22no—
477(C2×D43)⋊C4—22no—
478(C2×D43)⋊C4—22no—
479(C2×D43)⋊C4—41no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482C4⋊Dic43—22no—
483C4⋊Dic43—22no—
484C4⋊Dic43—22no—
485C4⋊Dic43—22no—
486C4⋊Dic43—22no—
487C4⋊Dic43—22no—
488C4⋊Dic43—41no—
489C4⋊Dic43—41no—
490C4⋊Dic43—41no—
491C4⋊Dic43—41no—
492C4⋊Dic43—41no—
493C4⋊Dic43#4114yescomplemented
494Dic43⋊C4—22no—
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—22no—
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—
513Dic43⋊C4#4114yescomplemented
514C4×Dic43—22no—
515C4×Dic43—22no—
516C4×Dic43—22no—
517C4×Dic43—22no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C4×Dic43—41no—
524C4×Dic43—41no—
525C4×Dic43—41no—
526C4×Dic43—41no—
527C4×Dic43—41no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43C2×#4112yes—
535C23×C43C2511yescharacteristic
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×D43C2×#4112yes—
549C22×D43H(5,𝔽2)12yes—
550C2×C4×C43—21no—
551C2×C4×C43—21no—
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—44no—
589C2×C4×C43C2×#4112yes—
590C2×C4×C43C2×#4112yes—
591C2×C4×C43H(5,𝔽2)12yes—
592C2×C4×C432−1+412yes—
593C22⋊D43—44no—
594C22⋊D43—44no—
595C2×Dic43—21no—
596C2×Dic43—21no—
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×Dic43—21no—
631C2×Dic43—44no—
632C2×Dic43—82no—
633C2×Dic43C2×#4112yes—
634C2×Dic43C2×#4112yes—
635C2×Dic43C2×#4112yes—
636C2×Dic43C2×#4112yes—
637C2×Dic43C2×#4112yes—
638C2×Dic432−1+412yes—
639D172—44no—
640C4×D43—28no—
641C4×D43—28no—
642C4×D43—28no—
643C4×D43—44no—
644C4×D43—44no—
645C4×D43—82no—
646Dic86—44no—
647Dic86—44no—
648Dic86—44no—
649#60046—431nomaximal, Sylow
650C22×C43—22no—
651C22×C43—22no—
652C22×C43—22no—
653C22×C43—41no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43C22×#4111yescharacteristic
658C22×C43C22×#4111yescharacteristic
659C22×C43C22×#4111yescharacteristic
660C22×C43C2×H(5,𝔽2)11yescharacteristic
661C22×C43C2×H(5,𝔽2)11yescharacteristic
662C22×C43C2×2−1+411yescharacteristic
663C22×C43C2×2−1+411yescharacteristic
664C2×D43—22no—
665C2×D43—22no—
666C2×D43—22no—
667C2×D43—22no—
668C2×D43—22no—
669C2×D43—22no—
670C2×D43—41no—
671C2×D43—41no—
672C2×D43—41no—
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—41no—
677C2×D43—41no—
678C4×C43—22no—
679C4×C43—22no—
680C4×C43—22no—
681C4×C43—22no—
682C4×C43—41no—
683C4×C43—41no—
684C4×C43—41no—
685C4×C43—41no—
686C4×C43—41no—
687C4×C43—41no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692Dic43—22no—
693Dic43—22no—
694Dic43—22no—
695Dic43—22no—
696Dic43—22no—
697Dic43—22no—
698Dic43—41no—
699Dic43—41no—
700Dic43—41no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706#2805—431no—
707#2805—431no—
708#2724—431no—
709#2683—431no—
710#2599—431no—
711#2599—431no—
712#2586—431no—
713#2586—431no—
714#2573—431no—
715#2573—431no—
716#2573—431no—
717#2573D4311yescharacteristic, complemented
718#2477—431no—
719#2477—431no—
720#2477—431no—
721#2477—431no—
722#2470—431no—
723#2470—431no—
724#2470—431no—
725#2470—431no—
726#2406—431no—
727#2406—431no—
728#2374—431no—
729#2374—431no—
730#2360—431no—
731#2360—431no—
732#2360—431no—
733#2360—431no—
734#2297—431no—
735#2296—431no—
736#2296—431no—
737C2×C43—42no—
738C2×C43#348111yescharacteristic
739C2×C43#348211yescharacteristic
740C2×C43#348211yescharacteristic
741C2×C43#349011yescharacteristic
742C2×C43#349211yescharacteristic
743C2×C43#349211yescharacteristic
744C2×C43#355011yescharacteristic
745D43—42no—
746D43—42no—
747C22×#41—431no—
748C2×#123—431no—
749C2×#123—431no—
750C2×#123—431no—
751C2×#123—431no—
752C2×C22⋊Q8—431no—
753C2×C22⋊Q8—431no—
754C2×C22⋊Q8—431no—
755C2×C22⋊Q8—431no—
756C2×C4×Q8—431no—
757C2×C4×Q8—431no—
758C2×#117—431no—
759C2×#117—431no—
760C2×#117—431no—
761C2×#117—431no—
762C2×#117—431no—
763C22×C4⋊C4—431no—
764C22×C4⋊C4—431no—
765C22×C42—431no—
766#400—431no—
767#400—431no—
768#400—431no—
769#400—431no—
770#400—431no—
771#400—431no—
772#400C2×D4311yescharacteristic
773#400C2×D4311yescharacteristic
774#398—431no—
775#398—431no—
776#397—431no—
777#397—431no—
778#397—431no—
779#397—431no—
780#397—431no—
781#397C2×D4311yescharacteristic
782#396—431no—
783#396—431no—
784#396—431no—
785#396C2×D4311yescharacteristic
786#395—431no—
787#395—431no—
788#395—431no—
789#395—431no—
790#395—431no—
791#395—431no—
792#394—431no—
793#394—431no—
794#394—431no—
795#394—431no—
796#393—431no—
797#393—431no—
798#391—431no—
799#391—431no—
800#391—431no—
801#391—431no—
802#391—431no—
803#391—431no—
804#390—431no—
805#390—431no—
806#389—431no—
807#389—431no—
808#389—431no—
809#389—431no—
810#389—431no—
811#389—431no—
812#389—431no—
813#389—431no—
814#389—431no—
815#389—431no—
816#389—431no—
817#389—431no—
818#389—431no—
819#389—431no—
820#389—431no—
821#389C2×D4311yescharacteristic
822#388—431no—
823#388—431no—
824#388—431no—
825#388—431no—
826#388—431no—
827#388—431no—
828#388—431no—
829#388—431no—
830#388—431no—
831#388—431no—
832#388C2×D4311yescharacteristic
833#388C2×D4311yescharacteristic
834#387—431no—
835#387—431no—
836#387—431no—
837#387—431no—
838#387—431no—
839#387—431no—
840#387—431no—
841#387—431no—
842#387—431no—
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387C2×D4311yescharacteristic
852#387C2×D4311yescharacteristic
853#387C2×D4311yescharacteristic
854#386—431no—
855#386—431no—
856#386—431no—
857#386—431no—
858#386—431no—
859#386—431no—
860#386—431no—
861#386—431no—
862#385—431no—
863#385—431no—
864#385—431no—
865#385—431no—
866#385—431no—
867#385—431no—
868#385—431no—
869#385—431no—
870#385—431no—
871#385—431no—
872#385—431no—
873#385—431no—
874#385—431no—
875#385—431no—
876#385—431no—
877#385C2×D4311yescharacteristic
878#383—431no—
879#383C2×D4311yescharacteristic
880#381—431no—
881#381C2×D4311yescharacteristic
882C4×C4⋊C4—431no—
883C4×C4⋊C4—431no—
884C4×C4⋊C4—431no—
885C4×C4⋊C4—431no—
886C4×C4⋊C4—431no—
887C4×C4⋊C4—431no—
888C4×C4⋊C4—431no—
889C4×C4⋊C4C2×D4311yescharacteristic
890C4×C22⋊C4—431no—
891C4×C22⋊C4—431no—
892C4×C22⋊C4—431no—
893C4×C22⋊C4—431no—
894C4×C22⋊C4—431no—
895C4×C22⋊C4—431no—
896C4×C22⋊C4—431no—
897C4×C22⋊C4—431no—
898C4×C22⋊C4—431no—
899C4×C22⋊C4—431no—
900C4×C22⋊C4—431no—
901C4×C22⋊C4C2×D4311yescharacteristic
902C43#6004611yescharacteristic, complemented, Sylow
903C2×#41—864no—
904C2×#41—1722no—
905C2×#41—1722no—
906C22×Q8—431no—
907C22×Q8—431no—
908C22×Q8—431no—
909C22×D4—431no—
910C22×D4—431no—
911C22×D4—431no—
912C23×C4—431no—
913C23×C4—431no—
914C23×C4—431no—
915C23×C4—431no—
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4C22×D4311yescharacteristic
921#123—864no—
922#123—864no—
923#123—1722no—
924#123—1722no—
925C22⋊Q8—864no—
926C22⋊Q8—864no—
927C22⋊Q8—864no—
928C22⋊Q8—864no—
929C4×Q8—1722no—
930C4×Q8—1722no—
931#117—864no—
932#117—864no—
933#117—1722no—
934#117—1722no—
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⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4—431no—
965C2×C4⋊C4—431no—
966C2×C4⋊C4—431no—
967C2×C4⋊C4—431no—
968C2×C4⋊C4—1722no—
969C2×C4⋊C4—1722no—
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C4⋊C4C22×D4311yescharacteristic
975C2×C4⋊C4C22×D4311yescharacteristic
976C2×C4⋊C4C22×D4311yescharacteristic
977C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4C22×D4311yescharacteristic
1003C2×C22⋊C4C22×D4311yescharacteristic
1004C2×C22⋊C4C22×D4311yescharacteristic
1005C2×C22⋊C4C22×D4311yescharacteristic
1006C2×C22⋊C4C22×D4311yescharacteristic
1007C2×C22⋊C4C22×D4311yescharacteristic
1008C2×C42—431no—
1009C2×C42—431no—
1010C2×C42—431no—
1011C2×C42—431no—
1012C2×C42—431no—
1013C2×C42—431no—
1014C2×C42—431no—
1015C2×C42—431no—
1016C2×C42—431no—
1017C2×C42—431no—
1018C2×C42—431no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—1722no—
1023C2×C42C22×D4311yescharacteristic
1024C2×C42C22×D4311yescharacteristic
1025C2×C42C22×D4311yescharacteristic
1026C2×C42C22×D4311yescharacteristic
1027#95—431no—
1028#95—431no—
1029#95—431no—
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#95—431no—
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
1078#95C22×D4311yescharacteristic
1079C24—431no—
1080C24—431no—
1081C24C23×D4311yescharacteristic
1082#41—17216no—
1083C2×Q8—862no—
1084C2×Q8—862no—
1085C2×Q8—862no—
1086C2×Q8—862no—
1087C2×Q8—862no—
1088C2×Q8—1721no—
1089C2×Q8—1721no—
1090C2×Q8—1721no—
1091C2×Q8—1721no—
1092C2×D4—434no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—862no—
1096C2×D4—862no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—41no—
1104C22×C4—431no—
1105C22×C4—431no—
1106C22×C4—431no—
1107C22×C4—431no—
1108C22×C4—431no—
1109C22×C4—431no—
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—862no—
1119C22×C4—862no—
1120C22×C4—862no—
1121C22×C4—862no—
1122C22×C4—862no—
1123C22×C4—862no—
1124C22×C4—862no—
1125C22×C4—862no—
1126C22×C4—862no—
1127C22×C4—862no—
1128C22×C4—862no—
1129C22×C4—862no—
1130C22×C4—862no—
1131C22×C4—862no—
1132C22×C4—862no—
1133C22×C4—862no—
1134C22×C4—862no—
1135C22×C4—1721no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4—1721no—
1139C22×C4—1721no—
1140C22×C4—1721no—
1141C22×C4—1721no—
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
1151C22×C4C23×D4311yescharacteristic
1152C22×C4C23×D4311yescharacteristic
1153C22×C4C23×D4311yescharacteristic
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—434no—
1165C4⋊C4—434no—
1166C4⋊C4—862no—
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—862no—
1177C4⋊C4—862no—
1178C4⋊C4—862no—
1179C4⋊C4—862no—
1180C4⋊C4—862no—
1181C4⋊C4—862no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C4⋊C4—1721no—
1190C4⋊C4—1721no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—41no—
1202C22⋊C4—862no—
1203C22⋊C4—862no—
1204C22⋊C4—862no—
1205C22⋊C4—862no—
1206C22⋊C4—862no—
1207C22⋊C4—862no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
1212C22⋊C4—862no—
1213C22⋊C4—862no—
1214C22⋊C4—862no—
1215C22⋊C4—862no—
1216C22⋊C4—862no—
1217C22⋊C4—862no—
1218C22⋊C4—862no—
1219C22⋊C4—862no—
1220C22⋊C4—862no—
1221C22⋊C4—862no—
1222C22⋊C4—862no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C42—22no—
1227C42—22no—
1228C42—41no—
1229C42—41no—
1230C42—862no—
1231C42—862no—
1232C42—862no—
1233C42—862no—
1234C42—1721no—
1235C42—1721no—
1236C42—1721no—
1237C42—1721no—
1238C42—1721no—
1239C42—1721no—
1240C42—1721no—
1241C42—1721no—
1242C42—1721no—
1243C42—1721no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—432no—
1251C23—432no—
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#41×D4312yes—
1265C23C24×D4311yescharacteristic
1266Q8—1724no—
1267Q8—1724no—
1268Q8—1724no—
1269D4—1724no—
1270D4—1724no—
1271D4—1724no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
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—44no—
1311C2×C4—432no—
1312C2×C4—432no—
1313C2×C4—432no—
1314C2×C4—432no—
1315C2×C4—432no—
1316C2×C4—432no—
1317C2×C4—868no—
1318C2×C4—868no—
1319C2×C4—868no—
1320C2×C4—861no—
1321C2×C4—861no—
1322C2×C4—861no—
1323C2×C4—861no—
1324C2×C4—861no—
1325C2×C4—861no—
1326C2×C4—861no—
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—3442no—
1357C2×C4—3442no—
1358C2×C4—1724no—
1359C2×C4—1724no—
1360C2×C4—1724no—
1361C2×C4#41×D4312yes—
1362C2×C4#41×D4312yes—
1363C2×C4#1306337112yes—
1364C2×C4#1306337212yes—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—862no—
1373C22—862no—
1374C22—862no—
1375C22—862no—
1376C22—862no—
1377C22—862no—
1378C22—1721no—
1379C22—1721no—
1380C22—1721no—
1381C22—1721no—
1382C22—1721no—
1383C22—1721no—
1384C22—1721no—
1385C22—1721no—
1386C22C2×#41×D4311yescharacteristic
1387C22C2×#41×D4311yescharacteristic
1388C22C2×#41×D4311yescharacteristic
1389C22H(5,𝔽2)×D4311yescharacteristic
1390C22C2×#1306337111yescharacteristic
1391C222−1+4×D4311yescharacteristic
1392C22C2×#1306337211yescharacteristic
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—862no—
1408C4—862no—
1409C4—862no—
1410C4—862no—
1411C4—862no—
1412C4—862no—
1413C4—1721no—
1414C4—1721no—
1415C4—1721no—
1416C4—1721no—
1417C4—1721no—
1418C4—1721no—
1419C4—1721no—
1420C4—1721no—
1421C2—42no—
1422C2—1722no—
1423C2—1722no—
1424C2#1914820111yescharacteristic
1425C2#1914820811yescharacteristic
1426C2#1914820911yescharacteristic
1427C2#1914827911yescharacteristic
1428C2#1914829911yescharacteristic
1429C2#1914830011yescharacteristic
1430C2#1914900811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2573C2
prime radicalC22×#10621898C22
hypercenter#2573D43
hypocenterC43#60046
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2573

Complements

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

NH ≅ G/Ntype
1. #19142549C2semidirect
2. #19142547C2semidirect
3. #19141527C2semidirect
4. #19140964C2semidirect
5. #19140174C2semidirect
6. #19140170C2semidirect
7. #19140005C2semidirect
8. #19140003C2semidirect
9. #19139856C2semidirect
10. #19139852C2semidirect
11. #19139850C2semidirect
12. #19138801C2semidirect
13. #19138798C2semidirect
14. #19138791C2semidirect
15. #19138789C2semidirect
16. #19138696C2semidirect
17. #19138694C2semidirect
18. #19138693C2semidirect
19. #19138692C2semidirect
22. #19137725C2semidirect
23. #19137723C2semidirect
24. #19137603C2semidirect
25. #19137602C2semidirect
26. #19137601C2semidirect
27. #19137595C2semidirect
29. #19137076C2semidirect
30. #19137075C2semidirect
31. C43×#2573C2semidirect
493. C4⋊Dic43#41semidirect
513. Dic43⋊C4#41semidirect
717. #2573D43semidirect
902. C43#60046semidirect

Maximal subgroups

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

subgroupindex
#191425492
#191425472
#191415272
#191409642
#191401742
#191401702
#191400052
#191400032
#191398562
#191398522
#191398502
#191388012
#191387982
#191387912
#191387892
#191386962
#191386942
#191386932
#191386922
#191379322
#191379282
#191377252
#191377232
#191376032
#191376022
#191376012
#191375952
#191370812
#191370762
#191370752
C43×#25732
#6004643