Finite Group Databasebeta

← #25304144

Subgroups — #25304144

Order 11008.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583518C211yesmaximal, characteristic, complemented
2C2×#14583484C211yesmaximal, characteristic, complemented
3#19142923C211yesmaximal, characteristic, complemented
4#19142892C211yesmaximal, characteristic, complemented
5#19141521C211yesmaximal, characteristic, complemented
6#19141424C211yesmaximal, characteristic, complemented
7#19141399C211yesmaximal, characteristic, complemented
8#19141362C211yesmaximal, characteristic, complemented
9#19141195C211yesmaximal, characteristic, complemented
10#19141175C211yesmaximal, characteristic, complemented
11#19141150C211yesmaximal, characteristic, complemented
12#19141071C211yesmaximal, characteristic, complemented
13#19141029C211yesmaximal, characteristic, complemented
14#19140995C211yesmaximal, characteristic, complemented
15#19140986C211yesmaximal, characteristic, complemented
16#19140898C211yesmaximal, characteristic, complemented
17#19140873C211yesmaximal, characteristic, complemented
18#19140821C211yesmaximal, characteristic, complemented
19#19140799C211yesmaximal, characteristic, complemented
20#19140742C211yesmaximal, characteristic, complemented
21#19140722C211yesmaximal, characteristic, complemented
22#19140280C211yesmaximal, characteristic, complemented
23#19140228C211yesmaximal, characteristic, complemented
24#19140202C211yesmaximal, characteristic, complemented
25#19140198C211yesmaximal, characteristic, complemented
26#19140077C211yesmaximal, characteristic, complemented
27#19139750C211yesmaximal, characteristic, complemented
28#19138019C211yesmaximal, characteristic, complemented
29#19137982C211yesmaximal, characteristic, complemented
30#19137035C211yesmaximal, characteristic, complemented
31C43×#2684C211yesmaximal, characteristic, complemented
32#14583518—28no—
33#14583484—28no—
34C2×#13063325C2211yescharacteristic, complemented
35C2×#13063318C2211yescharacteristic
36C2×#13063318C2211yescharacteristic
37C2×#13063318C2211yescharacteristic
38C2×#13063318C2211yescharacteristic, complemented
39C2×#13063312C2211yescharacteristic
40C2×#13063311C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42C2×#13063311C2211yescharacteristic
43C2×#13063311C2211yescharacteristic, complemented
44C2×#13063309C2211yescharacteristic
45C2×#13063309C2211yescharacteristic, complemented
46C2×#13063307C2211yescharacteristic
47C2×#13063306C2211yescharacteristic
48C2×#13063303C2211yescharacteristic, complemented
49C2×#13063302C2211yescharacteristic
50C2×#13063302C2211yescharacteristic
51C2×#13063302C2211yescharacteristic, complemented
52C2×#13063301C2211yescharacteristic, complemented
53C2×#13063297C2211yescharacteristic
54C2×#13063297C2211yescharacteristic
55C2×#13063297C2211yescharacteristic
56C2×#13063296C2211yescharacteristic
57C2×#13063296C2211yescharacteristic
58C2×#13063294C2211yescharacteristic
59C2×#13063294C2211yescharacteristic
60C2×Q8×Dic43C2211yescharacteristic, complemented
61C2×D4×Dic43C2211yescharacteristic
62C2×(C22⋊D43)⋊C4C2211yescharacteristic
63C2×#13063282C2211yescharacteristic, complemented
64C2×#13063281C2211yescharacteristic
65C22×C22⋊Dic43C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic, complemented
67#14582840C2211yescharacteristic, complemented
68#14582839C2211yescharacteristic, complemented
69#14582835C2211yescharacteristic
70#14582835C2211yescharacteristic
71#14582833C2211yescharacteristic, complemented
72#14582832C2211yescharacteristic, complemented
73#14582828C2211yescharacteristic, complemented
74#14582827C2211yescharacteristic
75#14582827C2211yescharacteristic
76#14582827C2211yescharacteristic
77#14582827C2211yescharacteristic, complemented
78#14582826C2211yescharacteristic, complemented
79#14582824C2211yescharacteristic
80#14582824C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic
82#14582822C2211yescharacteristic
83#14582822C2211yescharacteristic
84#14582821C2211yescharacteristic, complemented
85#14582819C2211yescharacteristic, complemented
86#14582819C2211yescharacteristic, complemented
87#14582818C2211yescharacteristic, complemented
88#14582815C2211yescharacteristic
89#14582815C2211yescharacteristic
90#14582814C2211yescharacteristic
91#14582814C2211yescharacteristic
92#14582814C2211yescharacteristic
93#14582814C2211yescharacteristic
94#14582814C2211yescharacteristic
95#14582814C2211yescharacteristic
96#14582814C2211yescharacteristic
97#14582814C2211yescharacteristic, complemented
98#14582813C2211yescharacteristic
99#14582812C2211yescharacteristic, complemented
100#14582811C2211yescharacteristic
101#14582811C2211yescharacteristic
102#14582811C2211yescharacteristic
103#14582810C2211yescharacteristic, complemented
104#14582808C2211yescharacteristic
105#14582808C2211yescharacteristic
106#14582808C2211yescharacteristic
107#14582808C2211yescharacteristic, complemented
108#14582807C2211yescharacteristic
109#14582803C2211yescharacteristic, complemented
110#14582803C2211yescharacteristic, complemented
111#14582803C2211yescharacteristic, complemented
112#14582803C2211yescharacteristic, complemented
113#14582800C2211yescharacteristic, complemented
114#14582799C2211yescharacteristic
115#14582799C2211yescharacteristic
116#14582799C2211yescharacteristic
117#14582799C2211yescharacteristic
118#14582799C2211yescharacteristic
119#14582799C2211yescharacteristic
120#14582796C2211yescharacteristic, complemented
121#14582796C2211yescharacteristic, complemented
122#14582796C2211yescharacteristic, complemented
123#14582796C2211yescharacteristic, complemented
124#14582795C2211yescharacteristic, complemented
125#14582793C2211yescharacteristic
126#14582793C2211yescharacteristic
127#14582793C2211yescharacteristic
128#14582792C2211yescharacteristic
129#14582792C2211yescharacteristic
130#14582792C2211yescharacteristic
131#14582792C2211yescharacteristic
132#14582792C2211yescharacteristic
133#14582791C2211yescharacteristic, complemented
134#14582791C2211yescharacteristic, complemented
135#14582790C2211yescharacteristic, complemented
136#14582788C2211yescharacteristic, complemented
137#14582788C2211yescharacteristic, complemented
138#14582788C2211yescharacteristic, complemented
139#14582788C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic
141#14582787C2211yescharacteristic
142#14582787C2211yescharacteristic
143#14582786C2211yescharacteristic, complemented
144#14582786C2211yescharacteristic, complemented
145#14582785C2211yescharacteristic, complemented
146#14582784C2211yescharacteristic, complemented
147#14582783C2211yescharacteristic, complemented
148#14582782C2211yescharacteristic, complemented
149#14582779C2211yescharacteristic
150#14582779C2211yescharacteristic
151#14582778C2211yescharacteristic, complemented
152#14582778C2211yescharacteristic, complemented
153#14582777C2211yescharacteristic, complemented
154#14582777C2211yescharacteristic, complemented
155#14582776C2211yescharacteristic
156#14582776C2211yescharacteristic, complemented
157#14582775C2211yescharacteristic
158#14582775C2211yescharacteristic
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582772C2211yescharacteristic, complemented
162#14582771C2211yescharacteristic
163#14582771C2211yescharacteristic, complemented
164#14582763C2211yescharacteristic, complemented
165#14582760C2211yescharacteristic
166#14582760C2211yescharacteristic
167#14582758C2211yescharacteristic, complemented
168#14582757C2211yescharacteristic, complemented
169#14582755C2211yescharacteristic
170#14582750C2211yescharacteristic, complemented
171C22⋊C4×Dic43C2211yescharacteristic
172C22⋊C4×Dic43C2211yescharacteristic, complemented
173#14582744C2211yescharacteristic, complemented
174C2×#124×C43C2211yescharacteristic
175C2×#120×C43C2211yescharacteristic
176C43×#397C2211yescharacteristic
177C43×#397C2211yescharacteristic
178C43×#394C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#393C2211yescharacteristic
181C43×#393C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#379C2211yescharacteristic
188C43×#379C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063325—24no—
208#13063318—24no—
209#13063318—24no—
210#13063318—24no—
211#13063318—24no—
212#13063312—24no—
213#13063311—24no—
214#13063311—24no—
215#13063311—24no—
216#13063311—42no—
217#13063309—24no—
218#13063309—24no—
219#13063307—24no—
220#13063306—24no—
221#13063303—42no—
222#13063302—24no—
223#13063302—24no—
224#13063302—24no—
225#13063301—24no—
226#13063297—24no—
227#13063297—24no—
228#13063297—42no—
229#13063296—24no—
230#13063296—24no—
231#13063294—24no—
232#13063294—42no—
233Q8×Dic43—24no—
234D4×Dic43D418yescomplemented
235(C22⋊D43)⋊C4—24no—
236#13063282—24no—
237#13063281—42no—
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×C22⋊Dic43—24no—
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×C4×Dic43—42no—
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C25×C43C2311yescharacteristic
343C22×Q8×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C22×D4×C43C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348#124×C43—24no—
349#120×C43—24no—
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379C24×C43—22no—
380C24×C43—41no—
381C24×C43—41no—
382C24×C43—41no—
383C24×C43—41no—
384C24×C43—41no—
385C24×C43—41no—
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C24×C43C2411yescharacteristic
389C24×C43C2411yescharacteristic
390C23×D43C2411yescharacteristic
391C23×D43C2411yescharacteristic
392C2×Q8×C43—22no—
393C2×Q8×C43—41no—
394C2×Q8×C43—41no—
395C2×D4×C43—22no—
396C2×D4×C43—22no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43C2×D414yes—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C2×C22⋊D43—22no—
419C2×C22⋊D43—22no—
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—41no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43—41no—
448C22×Dic43—41no—
449C22×Dic43—41no—
450C22×Dic43—41no—
451C22×Dic43—41no—
452C22×Dic43C2×D414yes—
453C22×Dic43C2×D414yes—
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×Dic86—22no—
478C2×Dic86—22no—
479C2×Dic86—22no—
480C2×Dic86—41no—
481C2×Dic86—41no—
482C2×Dic86—41no—
483C2×Dic86—41no—
484C2×Dic86—41no—
485C2×Dic86—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C42×C43—22no—
507C22⋊Dic43—22no—
508C22⋊Dic43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
522C22⋊Dic43—41no—
523C22⋊Dic43—41no—
524C22⋊Dic43—41no—
525C22⋊Dic43C2×D414yes—
526C22⋊Dic43C2×D414yes—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
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—
545C4⋊Dic43—22no—
546C4⋊Dic43—22no—
547C4⋊Dic43—22no—
548C4⋊Dic43—22no—
549C4⋊Dic43—22no—
550C4⋊Dic43—22no—
551C4⋊Dic43—41no—
552C4⋊Dic43C2×D414yes—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—41no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571C4×Dic43—22no—
572C4×Dic43—22no—
573C4×Dic43—22no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—41no—
577C4×Dic43—41no—
578C4×Dic43—41no—
579C4×Dic43—41no—
580C4×Dic43C2×D414yes—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—44no—
608C23×C43—82no—
609C23×C43—82no—
610C23×C43—82no—
611C23×C43—82no—
612C23×C43—82no—
613C23×C43—82no—
614C23×C43C22×D412yes—
615C23×C43C22×D412yes—
616C23×C43C2511yescharacteristic
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631Q8×C43—44no—
632D4×C43—44no—
633D4×C43—82no—
634D4×C43—82no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—44no—
668C2×C4×C43C22×D412yes—
669C22⋊D43—44no—
670C22⋊D43—82no—
671C22⋊D43—82no—
672C22⋊D43—82no—
673C22⋊D43—82no—
674C22⋊D43—82no—
675C22⋊D43—82no—
676C22⋊D43—82no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—44no—
715C2×Dic43—44no—
716C2×Dic43—44no—
717C2×Dic43—82no—
718C2×Dic43C22×D412yes—
719C2×Dic43C22×D412yes—
720C2×Dic43C22×D412yes—
721C2×Dic43C22×D412yes—
722C2×Dic43H(5,𝔽2)12yes—
723D172—82no—
724C4×D43—44no—
725C4×D43—82no—
726Dic86—82no—
727Dic86—82no—
728Dic86—82no—
729#36745—431nomaximal, Sylow
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—88no—
759C22×C43C23×D411yescharacteristic
760C22×C43C2×H(5,𝔽2)11yescharacteristic
761C22×C43#58511yescharacteristic
762C22×C43#58511yescharacteristic
763C22×C43#58511yescharacteristic
764C22×C43#58511yescharacteristic
765C22×C43#58511yescharacteristic
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C4×C43—22no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791Dic43—22no—
792Dic43—22no—
793Dic43—22no—
794Dic43—22no—
795Dic43—22no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805C2×#542—431no—
806C2×#538—431no—
807#2854—431no—
808#2850—431no—
809#2723—431no—
810#2716—431no—
811#2715—431no—
812#2712—431no—
813#2700—431no—
814#2698—431no—
815#2696—431no—
816#2691—431no—
817#2688—431no—
818#2686—431no—
819#2685—431no—
820#2684D4311yescharacteristic, complemented
821#2676—431no—
822#2674—431no—
823#2670—431no—
824#2668—431no—
825#2663—431no—
826#2661—431no—
827#2610—431no—
828#2604—431no—
829#2602—431no—
830#2601—431no—
831#2592—431no—
832#2561—431no—
833#2415—431no—
834#2411—431no—
835#2290—431no—
836C2×C43—42no—
837C2×C43—42no—
838C2×C43—81no—
839C2×C43—81no—
840C2×C43#344911yescharacteristic
841C2×C43#349611yescharacteristic
842C2×C43#350011yescharacteristic
843C2×C43#353311yescharacteristic
844C2×C43#354011yescharacteristic
845C2×C43#356611yescharacteristic
846C2×C43#356811yescharacteristic
847D43—81no—
848D43—81no—
849#542—868no—
850#538—868no—
851C2×C4⋊Q8—431no—
852C2×#126—431no—
853C2×#126—431no—
854C2×#126—431no—
855C2×#126—431no—
856C2×#124—431no—
857C2×#124—431no—
858C2×#124—431no—
859C2×#124—431no—
860C2×#124—431no—
861C2×#124C2×D4311yescharacteristic
862C2×#123—431no—
863C2×#123—431no—
864C2×#123—431no—
865C2×#123—431no—
866C2×C22⋊Q8—431no—
867C2×C22⋊Q8—431no—
868C2×C22⋊Q8—431no—
869C2×C22⋊Q8—431no—
870C2×C22⋊Q8—431no—
871C2×#121—431no—
872C2×#121—431no—
873C2×#121—431no—
874C2×#121—431no—
875C2×#121—431no—
876C2×#120—431no—
877C2×#120—431no—
878C2×#120C2×D4311yescharacteristic
879C2×C4×Q8—431no—
880C2×C4×D4—431no—
881C2×C4×D4—431no—
882C2×#117—431no—
883C2×#117—431no—
884C22×C22⋊C4—431no—
885C22×C42—431no—
886#400—431no—
887#400—431no—
888#399—431no—
889#399—431no—
890#398—431no—
891#398—431no—
892#397—431no—
893#397—431no—
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397C2×D4311yescharacteristic
901#397C2×D4311yescharacteristic
902#396—431no—
903#396—431no—
904#396—431no—
905#396—431no—
906#395—431no—
907#395—431no—
908#395—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#394—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#394—431no—
918#394—431no—
919#394—431no—
920#394C2×D4311yescharacteristic
921#394C2×D4311yescharacteristic
922#393—431no—
923#393—431no—
924#393—431no—
925#393—431no—
926#393—431no—
927#393C2×D4311yescharacteristic
928#393C2×D4311yescharacteristic
929#392—431no—
930#392—431no—
931#392—431no—
932#392—431no—
933#392—431no—
934#391—431no—
935#391—431no—
936#391—431no—
937#391—431no—
938#390—431no—
939#390—431no—
940#390—431no—
941#390—431no—
942#390—431no—
943#390—431no—
944#390—431no—
945#389—431no—
946#389—431no—
947#389—431no—
948#389—431no—
949#389—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#388—431no—
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388C2×D4311yescharacteristic
969#388C2×D4311yescharacteristic
970#387—431no—
971#387—431no—
972#387—431no—
973#387—431no—
974#387—431no—
975#387—431no—
976#386—431no—
977#386—431no—
978#386—431no—
979#386—431no—
980#386—431no—
981#386—431no—
982#386—431no—
983#386—431no—
984#386—431no—
985#386—431no—
986#386C2×D4311yescharacteristic
987#386C2×D4311yescharacteristic
988#386C2×D4311yescharacteristic
989#385—431no—
990#385—431no—
991#385—431no—
992#385—431no—
993#385—431no—
994#382—431no—
995#381—431no—
996#381—431no—
997#380—431no—
998#380—431no—
999#379—431no—
1000#379C2×D4311yescharacteristic
1001#379C2×D4311yescharacteristic
1002C4×C4⋊C4—431no—
1003C4×C22⋊C4—431no—
1004C4×C22⋊C4—431no—
1005#376—431no—
1006C43#3674511yescharacteristic, complemented, Sylow
1007C25C22×D4311yescharacteristic
1008C22×Q8—431no—
1009C22×Q8—431no—
1010C22×Q8—431no—
1011C22×Q8C22×D4311yescharacteristic
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4—431no—
1016C22×D4—431no—
1017C22×D4—431no—
1018C22×D4—431no—
1019C22×D4—431no—
1020C22×D4—431no—
1021C22×D4C22×D4311yescharacteristic
1022C22×D4C22×D4311yescharacteristic
1023C22×D4C22×D4311yescharacteristic
1024C23×C4—431no—
1025C23×C4—431no—
1026C23×C4—431no—
1027C23×C4—431no—
1028C23×C4—431no—
1029C23×C4—431no—
1030C23×C4C22×D4311yescharacteristic
1031C4⋊Q8—864no—
1032#126—864no—
1033#126—864no—
1034#126—864no—
1035#126—864no—
1036#124—24no—
1037#124—864no—
1038#124—864no—
1039#124—864no—
1040#124—864no—
1041#124—1722no—
1042#123—864no—
1043#123—864no—
1044#123—864no—
1045#123—864no—
1046C22⋊Q8—864no—
1047C22⋊Q8—864no—
1048C22⋊Q8—864no—
1049C22⋊Q8—864no—
1050C22⋊Q8—1722no—
1051#121—864no—
1052#121—864no—
1053#121—864no—
1054#121—864no—
1055#121—1722no—
1056#120—24no—
1057#120—864no—
1058#120—1722no—
1059C4×Q8—864no—
1060C4×D4—438no—
1061C4×D4—864no—
1062#117—864no—
1063#117—1722no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1130C2×C22⋊C4—864no—
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C22⋊C4C22×D4311yescharacteristic
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C22⋊C4C22×D4311yescharacteristic
1147C2×C22⋊C4C22×D4311yescharacteristic
1148C2×C22⋊C4C22×D4311yescharacteristic
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—431no—
1156C2×C42—431no—
1157C2×C42—431no—
1158C2×C42—431no—
1159C2×C42—1722no—
1160C2×C42C22×D4311yescharacteristic
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
1191#95C22×D4311yescharacteristic
1192#95C22×D4311yescharacteristic
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196#95C22×D4311yescharacteristic
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—431no—
1205C24—431no—
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C24C23×D4311yescharacteristic
1209C24C23×D4311yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—862no—
1214C2×Q8—862no—
1215C2×Q8—862no—
1216C2×Q8—1721no—
1217C2×Q8—1721no—
1218C2×Q8—1721no—
1219C2×Q8—1721no—
1220C2×Q8—1721no—
1221C2×Q8—1721no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—862no—
1231C2×D4—862no—
1232C2×D4—862no—
1233C2×D4—862no—
1234C2×D4—862no—
1235C2×D4—862no—
1236C2×D4—862no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—1721no—
1244C2×D4—1721no—
1245C2×D4—1721no—
1246C2×D4—1721no—
1247C2×D4—1721no—
1248C2×D4—1721no—
1249C2×D4—1721no—
1250C2×D4—1721no—
1251C2×D4—1721no—
1252C2×D4—1721no—
1253C2×D4—1721no—
1254C2×D4—1721no—
1255C2×D4—1721no—
1256C2×D4—1721no—
1257C2×D4D4×D4314yes—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—434no—
1267C22×C4—434no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—431no—
1271C22×C4—431no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—431no—
1275C22×C4—431no—
1276C22×C4—431no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—1721no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4—1721no—
1290C22×C4—1721no—
1291C22×C4—1721no—
1292C22×C4—1721no—
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C22×C4C23×D4311yescharacteristic
1302C22×C4C23×D4311yescharacteristic
1303C22×C4C23×D4311yescharacteristic
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—434no—
1307C4⋊C4—862no—
1308C4⋊C4—862no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—434no—
1351C22⋊C4—434no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C42—22no—
1389C42—434no—
1390C42—862no—
1391C42—862no—
1392C42—862no—
1393C42—862no—
1394C42—862no—
1395C42—1721no—
1396C42—1721no—
1397C42—1721no—
1398C42—1721no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—82no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—861no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—861no—
1438C23—861no—
1439C23—861no—
1440C23—861no—
1441C23—861no—
1442C23—861no—
1443C23—861no—
1444C23—861no—
1445C23—861no—
1446C23C2×D4×D4312yes—
1447C23C2×D4×D4312yes—
1448C23C24×D4311yescharacteristic
1449Q8—44no—
1450Q8—3442no—
1451Q8—3442no—
1452Q8—3442no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—3442no—
1457D4—3442no—
1458D4—3442no—
1459D4—3442no—
1460D4—3442no—
1461D4—3442no—
1462D4—3442no—
1463D4—3442no—
1464D4—1724no—
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—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—432no—
1499C2×C4—432no—
1500C2×C4—432no—
1501C2×C4—432no—
1502C2×C4—432no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—3442no—
1541C2×C4—3442no—
1542C2×C4—1724no—
1543C2×C4—1724no—
1544C2×C4—1724no—
1545C2×C4—1724no—
1546C2×C4C2×D4×D4312yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22—1721no—
1583C22—1721no—
1584C22—1721no—
1585C22—1721no—
1586C22—1721no—
1587C22—1721no—
1588C22—1721no—
1589C22—1721no—
1590C22C22×D4×D4311yescharacteristic
1591C22H(5,𝔽2)×D4311yescharacteristic
1592C22#1458373411yescharacteristic
1593C22#1458373411yescharacteristic
1594C22#1458373411yescharacteristic
1595C22#1458373511yescharacteristic
1596C22#1458373511yescharacteristic
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—862no—
1609C4—862no—
1610C4—862no—
1611C4—862no—
1612C4—862no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—3441no—
1627C2—3441no—
1628C2#1914792111yescharacteristic
1629C2#1914835511yescharacteristic
1630C2#1914838111yescharacteristic
1631C2#1914876211yescharacteristic
1632C2#1914886811yescharacteristic
1633C2#1914925611yescharacteristic
1634C2#1914928811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2684C2
hypercenter#2684D43
hypocenterC43#36745
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2684

Complements

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

NH ≅ G/Ntype
1. C2×#14583518C2semidirect
2. C2×#14583484C2semidirect
3. #19142923C2semidirect
4. #19142892C2semidirect
5. #19141521C2semidirect
6. #19141424C2semidirect
7. #19141399C2semidirect
8. #19141362C2semidirect
9. #19141195C2semidirect
10. #19141175C2semidirect
11. #19141150C2semidirect
12. #19141071C2semidirect
13. #19141029C2semidirect
14. #19140995C2semidirect
15. #19140986C2semidirect
16. #19140898C2semidirect
17. #19140873C2semidirect
18. #19140821C2semidirect
19. #19140799C2semidirect
20. #19140742C2semidirect
21. #19140722C2semidirect
22. #19140280C2semidirect
23. #19140228C2semidirect
24. #19140202C2semidirect
25. #19140198C2semidirect
26. #19140077C2semidirect
27. #19139750C2semidirect
28. #19138019C2semidirect
29. #19137982C2semidirect
30. #19137035C2semidirect
31. C43×#2684C2semidirect
34. C2×#13063325C22semidirect
38. C2×#13063318C22semidirect
43. C2×#13063311C22semidirect
45. C2×#13063309C22semidirect
48. C2×#13063303C22semidirect
51. C2×#13063302C22semidirect
52. C2×#13063301C22semidirect
60. C2×Q8×Dic43C22semidirect
63. C2×#13063282C22semidirect
66. C22×C4×Dic43C22semidirect
67. #14582840C22semidirect
68. #14582839C22semidirect
71. #14582833C22semidirect
72. #14582832C22semidirect
73. #14582828C22semidirect
77. #14582827C22semidirect
78. #14582826C22semidirect
80. #14582824C22semidirect
84. #14582821C22semidirect
85. #14582819C22semidirect
86. #14582819C22semidirect
87. #14582818C22semidirect
97. #14582814C22semidirect
99. #14582812C22semidirect
103. #14582810C22semidirect
107. #14582808C22semidirect
109. #14582803C22semidirect
110. #14582803C22semidirect
111. #14582803C22semidirect
112. #14582803C22semidirect
113. #14582800C22semidirect
120. #14582796C22semidirect
121. #14582796C22semidirect
122. #14582796C22semidirect
123. #14582796C22semidirect
124. #14582795C22semidirect
133. #14582791C22semidirect
134. #14582791C22semidirect
135. #14582790C22semidirect
136. #14582788C22semidirect
137. #14582788C22semidirect
138. #14582788C22semidirect
139. #14582788C22semidirect
143. #14582786C22semidirect
144. #14582786C22semidirect
145. #14582785C22semidirect
146. #14582784C22semidirect
147. #14582783C22semidirect
148. #14582782C22semidirect
151. #14582778C22semidirect
152. #14582778C22semidirect
153. #14582777C22semidirect
154. #14582777C22semidirect
156. #14582776C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
161. #14582772C22semidirect
163. #14582771C22semidirect
164. #14582763C22semidirect
167. #14582758C22semidirect
168. #14582757C22semidirect
170. #14582750C22semidirect
172. C22⋊C4×Dic43C22semidirect
173. #14582744C22semidirect
234. D4×Dic43D4semidirect
820. #2684D43semidirect
1006. C43#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#145835182
C2×#145834842
#191429232
#191428922
#191415212
#191414242
#191413992
#191413622
#191411952
#191411752
#191411502
#191410712
#191410292
#191409952
#191409862
#191408982
#191408732
#191408212
#191407992
#191407422
#191407222
#191402802
#191402282
#191402022
#191401982
#191400772
#191397502
#191380192
#191379822
#191370352
C43×#26842
#3674543