Finite Group Databasebeta

← #33978237

Subgroups — #33978237

Order 18688.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic, complemented
2#22623547C211yesmaximal, characteristic, complemented
3#22622924C211yesmaximal, characteristic, complemented
4#22622914C211yesmaximal, characteristic, complemented
5#22622622C211yesmaximal, characteristic, complemented
6#22622617C211yesmaximal, characteristic, complemented
7#22621818C211yesmaximal, characteristic, complemented
8#22621813C211yesmaximal, characteristic, complemented
9#22621789C211yesmaximal, characteristic, complemented
10#22621768C211yesmaximal, characteristic, complemented
11#22621759C211yesmaximal, characteristic, complemented
12#22621739C211yesmaximal, characteristic, complemented
13Q16×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621670C211yesmaximal, characteristic, complemented
15#22621639C211yesmaximal, characteristic, complemented
16#22621632C211yesmaximal, characteristic, complemented
17#22621620C211yesmaximal, characteristic, complemented
18#22621281C211yesmaximal, characteristic, complemented
19#22621277C211yesmaximal, characteristic, complemented
20#22621263C211yesmaximal, characteristic, complemented
21#22620895C211yesmaximal, characteristic, complemented
22#22620891C211yesmaximal, characteristic, complemented
23#22620885C211yesmaximal, characteristic, complemented
24#22620015C211yesmaximal, characteristic, complemented
25#22620006C211yesmaximal, characteristic, complemented
26#22619950C211yesmaximal, characteristic, complemented
27#22619382C211yesmaximal, characteristic, complemented
28C2×#17988811C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619038C211yesmaximal, characteristic, complemented
31C73×#3285C211yesmaximal, characteristic, complemented
32C2×#14556611C2211yescharacteristic, complemented
33C2×Q16×D73C2211yescharacteristic, complemented
34C22×#11924015C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989319C2211yescharacteristic
37#17989313C2211yescharacteristic, complemented
38#17989309C2211yescharacteristic
39#17989306—21no—
40#17989306C2211yescharacteristic, complemented
41#17989299—21no—
42#17989277—21no—
43#17989277C2211yescharacteristic, complemented
44#17989271—21no—
45#17989271C2211yescharacteristic, complemented
46#17989266—21no—
47#17989264—21no—
48Q8×C22⋊D73C2211yescharacteristic
49Q8×C22⋊D73C2211yescharacteristic
50#17989247C2211yescharacteristic
51#17989244C2211yescharacteristic, complemented
52#17989237—21no—
53#17989237C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989225C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989207—21no—
59#17989174—21no—
60#17989171—21no—
61#17989139—21no—
62#17989139C2211yescharacteristic, complemented
63#17989133C2211yescharacteristic
64#17989124C2211yescharacteristic
65#17989123C2211yescharacteristic
66#17989118—21no—
67#17989118C2211yescharacteristic
68#17989118C2211yescharacteristic, complemented
69#17989116—21no—
70#17989116C2211yescharacteristic, complemented
71C2×#14556580C2211yescharacteristic
72#124×D73C2211yescharacteristic
73#17989059—21no—
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027—21no—
76C4×#11924027C2211yescharacteristic
77C2×Q8×Dic73C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988969C2211yescharacteristic
80#17988968C2211yescharacteristic
81#17988968C2211yescharacteristic, complemented
82#17988965C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988943C2211yescharacteristic
85#17988943C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic
87#17988941C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988925C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic
94#17988902C2211yescharacteristic
95#17988898C2211yescharacteristic
96#17988894C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic
106#17988828C2211yescharacteristic, complemented
107#17988826C2211yescharacteristic, complemented
108#17988825C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic
110#17988819C2211yescharacteristic
111#17988818C2211yescharacteristic
112#17988816C2211yescharacteristic
113#17988814C2211yescharacteristic
114#17988814C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic
119#17988811C2211yescharacteristic
120#17988811C2211yescharacteristic
121#17988811C2211yescharacteristic
122#17988811C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988811C2211yescharacteristic, complemented
125#17988811C2211yescharacteristic, complemented
126#17988810C2211yescharacteristic
127#17988809C2211yescharacteristic
128#17988808C2211yescharacteristic, complemented
129#17988808C2211yescharacteristic, complemented
130#17988807C2211yescharacteristic, complemented
131#17988807C2211yescharacteristic, complemented
132#17988806C2211yescharacteristic, complemented
133#17988804C2211yescharacteristic
134#17988804C2211yescharacteristic, complemented
135#17988800C2211yescharacteristic, complemented
136#17988800C2211yescharacteristic, complemented
137#17988799C2211yescharacteristic, complemented
138#17988795C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic
141#17988790C2211yescharacteristic, complemented
142#17988785C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988743C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988741C2211yescharacteristic, complemented
151#17988740C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988732C2211yescharacteristic
154#17988727C2211yescharacteristic
155#17988724C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic
157#17988719C2211yescharacteristic
158C8×Dic146C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160Q16×Dic73C2211yescharacteristic, complemented
161C4×#11924018C2211yescharacteristic, complemented
162#17988679C2211yescharacteristic, complemented
163#17988679C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168C4×#11924015C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic
170#17988667C2211yescharacteristic
171D4×#10596831C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic
175#17988650C2211yescharacteristic, complemented
176#17988638C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179C2×#14556520C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988584C2211yescharacteristic, complemented
183#17988583C2211yescharacteristic, complemented
184C2×#14556515C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic
187#102×D73C2211yescharacteristic
188C2×#135×C73C2211yescharacteristic, complemented
189C22×Q16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#548×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#467×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic
200#448×C73C2211yescharacteristic, complemented
201C4×Q16×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556611—42no—
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217Q16×D73—42no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015—42no—
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227SD16×D73—42no—
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556589—21no—
237#14556589—21no—
238#14556589C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556583—21no—
253#14556583C2311yescharacteristic
254#14556582—21no—
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556580—21no—
261#14556580—21no—
262#14556580C2311yescharacteristic
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556579C2311yescharacteristic
267#14556578—21no—
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556559—21no—
314#14556559—21no—
315#14556559—21no—
316Q8×Dic73—21no—
317Q8×Dic73—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556—21no—
330#14556556D411yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73D411yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551D411yescharacteristic
356#14556551D411yescharacteristic
357#14556550—21no—
358#14556550C2311yescharacteristic
359#14556549—21no—
360#14556549—21no—
361#14556549D411yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C2×C4⋊Dic73—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443#135×C73—42no—
444C2×Q16×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×Q16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#124×C73—21no—
457#124×C73—21no—
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464#121×C73—21no—
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468C4×Q8×C73C2311yescharacteristic
469C4×Q8×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472C4×D4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924027—24no—
489#11924027—44no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—22no—
497Q8×D73—41no—
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292—41no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514D4×D73—41no—
515D4×D73—41no—
516D4×D73—44no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534Dic292—41no—
535#11924018—22no—
536#11924018—41no—
537#11924018—41no—
538#11924018—41no—
539#11924017—41no—
540#11924017—41no—
541#11924016—41no—
542#11924016—41no—
543#11924015—22no—
544#11924015—22no—
545#11924015—41no—
546#11924015—41no—
547#11924013—41no—
548#11924013—41no—
549C2×#10596831—41no—
550C2×#10596831—41no—
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C8×D73—41no—
556C8×D73—41no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644#41×C73—22no—
645#41×C73—41no—
646#41×C73—41no—
647#41×C73—41no—
648C2×Q8×C73—21no—
649C2×Q8×C73—21no—
650C2×Q8×C73—22no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73C2×D411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—22no—
672Q16×C73—22no—
673Q16×C73—41no—
674Q16×C73—41no—
675SD16×C73—22no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—41no—
680C2×C8×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—42no—
727Q8×C73—81no—
728Q8×C73H(5,𝔽2)12yes—
729D4×C73—22no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—42no—
735D4×C73—42no—
736D4×C73—42no—
737D4×C73—81no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—22no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73#13514yescomplemented
765C2×Dic73—22no—
766C2×Dic73—22no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—41no—
774C2×Dic73—41no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—81no—
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—42no—
791D292—81no—
792C4×D73—22no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—41no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802Dic146—22no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—42no—
808Dic146—42no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73C2×#13512yes—
830C22×C73C23×D411yescharacteristic
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—162no—
840C2×D73—162no—
841C2×D73C2×#13512yes—
842C4×C73—21no—
843C4×C73—22no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C2×H(5,𝔽2)11yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73C2×#13512yes—
867#61956—731nomaximal, Sylow
868C2×C73—22no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73#348811yescharacteristic
873C2×C73C22×#13511yescharacteristic
874C2×C73#358611yescharacteristic
875D73—22no—
876D73—81no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3394—731no—
881#3393—731no—
882#3365—731no—
883#3364—731no—
884#3300—731no—
885#3300—731no—
886#3298—731no—
887#3296—731no—
888#3296—731no—
889#3294—731no—
890D4×Q16—731no—
891#3285—731no—
892#3285D7311yescharacteristic, complemented
893#3282—731no—
894#3282—731no—
895D4×SD16—731no—
896#3250—731no—
897#3250—731no—
898#3248—731no—
899#3211—731no—
900#3211—731no—
901#3210—731no—
902#3108—731no—
903#3108—731no—
904#3102—731no—
905#3035—731no—
906C2×#464—731no—
907C2×#464—731no—
908#2988—731no—
909C73#6195611yescharacteristic, complemented, Sylow
910C2×#135—731no—
911C2×#135C2×D7311yescharacteristic, complemented
912C22×Q16—731no—
913C22×Q16C2×D7311yescharacteristic, complemented
914C22×SD16—731no—
915C22×SD16—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—1461no—
921#555—1461no—
922#552—731no—
923#552—731no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548C2×D7311yescharacteristic
933#548C2×D7311yescharacteristic, complemented
934#547—731no—
935#547—1461no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—1461no—
945#532—731no—
946#529—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—731no—
951#529—1461no—
952#529—1461no—
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—1461no—
959C2×C4×Q8—731no—
960C2×C4×Q8—731no—
961#495—731no—
962#495—731no—
963#495—731no—
964#495C2×D7311yescharacteristic, complemented
965#494—731no—
966#492—731no—
967#488—731no—
968#488—731no—
969#488—731no—
970#488—731no—
971#487—731no—
972#486—731no—
973#485—731no—
974#483—731no—
975#483—731no—
976#482—731no—
977#480—731no—
978#480—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#479—731no—
983#479—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#475—731no—
988#474—731no—
989#467—731no—
990#467—731no—
991#467—731no—
992#467C2×D7311yescharacteristic, complemented
993#466—731no—
994#466C2×D7311yescharacteristic
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464C2×D7311yescharacteristic, complemented
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#462—731no—
1026#462—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452C2×D7311yescharacteristic, complemented
1035#452C2×D7311yescharacteristic, complemented
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#451—731no—
1040#450—731no—
1041#450—731no—
1042#449—731no—
1043#448—731no—
1044#448—731no—
1045#448C2×D7311yescharacteristic
1046#448C2×D7311yescharacteristic, complemented
1047#447—731no—
1048#447—731no—
1049C8×Q8—731no—
1050C8×Q8—731no—
1051C4×Q16—731no—
1052C4×Q16—731no—
1053C4×Q16—731no—
1054C4×Q16—731no—
1055C4×Q16C2×D7311yescharacteristic, complemented
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16—731no—
1059C4×SD16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×D8—731no—
1063C8×D4—731no—
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067C8×D4—731no—
1068C8×D4C2×D7311yescharacteristic, complemented
1069#431—731no—
1070#431—731no—
1071#431—731no—
1072C2×C4⋊C8—731no—
1073C2×C4⋊C8—731no—
1074C2×C4⋊C8—731no—
1075#416—731no—
1076#416—731no—
1077C2×#103—731no—
1078C2×#103—731no—
1079C2×#102—731no—
1080C2×#102—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—1461no—
1084C2×#41C22×D7311yescharacteristic
1085C2×#41C22×D7311yescharacteristic
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8C22×D7311yescharacteristic
1089C22×Q8C22×D7311yescharacteristic
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093#135—42no—
1094#135—2922no—
1095C2×Q16—42no—
1096C2×Q16—2922no—
1097C2×Q16—731no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16C22×D7311yescharacteristic
1103C2×Q16C22×D7311yescharacteristic
1104C2×Q16C22×D7311yescharacteristic
1105C2×Q16C22×D7311yescharacteristic
1106C2×SD16—2922no—
1107C2×SD16—2922no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16C22×D7311yescharacteristic
1117C2×SD16C22×D7311yescharacteristic
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C22×C8—731no—
1124C22×C8—731no—
1125C22×C8—731no—
1126C22×C8—731no—
1127C22×C8C22×D7311yescharacteristic
1128C22×C8C22×D7311yescharacteristic
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135#127—731no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—731no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#124—21no—
1156#124—21no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124C22×D7311yescharacteristic
1172#124C22×D7311yescharacteristic
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8C22×D7311yescharacteristic
1204C22⋊Q8C22×D7311yescharacteristic
1205#121—21no—
1206#121—21no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121C22×D7311yescharacteristic
1218#121C22×D7311yescharacteristic
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4C22×D7311yescharacteristic
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42—1461no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8C22×D7311yescharacteristic
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—2921no—
1369#41—2921no—
1370#41—2924no—
1371#41—1464no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—22no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—2921no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1462no—
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—2924no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4D4×D7311yescharacteristic
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4C23×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—22no—
1440Q16—22no—
1441Q16—41no—
1442Q16—41no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447Q16—1462no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—41no—
1461D8—2921no—
1462D8—2921no—
1463C2×C8—41no—
1464C2×C8—41no—
1465C2×C8—2921no—
1466C2×C8—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4D4×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4D4×D7311yescharacteristic
1561C22⋊C4D4×D7311yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—2922no—
1587C23—2922no—
1588C23—5841no—
1589C23—5841no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—1461no—
1594C23—1461no—
1595C23C2×D4×D7311yescharacteristic
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—42no—
1605Q8—81no—
1606Q8—2922no—
1607Q8—2922no—
1608Q8—5841no—
1609Q8—1462no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8#1455663612yes—
1615D4—22no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—81no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—734no—
1633D4—1462no—
1634D4—1461no—
1635D4—1461no—
1636D4—1461no—
1637D4—1461no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—2922no—
1653C2×C4—2921no—
1654C2×C4—2922no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2921no—
1660C2×C4—2921no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—1462no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1462no—
1680C2×C4—1462no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—732no—
1714C22—11682no—
1715C22—11682no—
1716C22—1461no—
1717C22—1461no—
1718C22#135×D7312yes—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—22no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#1455663611yescharacteristic
1744C4#1798942211yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—5841no—
1750C2—5841no—
1751C2—1462no—
1752C2#2262359111yescharacteristic
1753C2C2×#135×D7311yescharacteristic
1754C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3285C2
socleC22×C73C23×D4
hypercenter#3285D73
hypocenterC73#61956
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3285

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. #22623547C2semidirect
3. #22622924C2semidirect
4. #22622914C2semidirect
5. #22622622C2semidirect
6. #22622617C2semidirect
7. #22621818C2semidirect
8. #22621813C2semidirect
9. #22621789C2semidirect
10. #22621768C2semidirect
11. #22621759C2semidirect
12. #22621739C2semidirect
13. Q16×C22⋊D73C2semidirect
14. #22621670C2semidirect
15. #22621639C2semidirect
16. #22621632C2semidirect
17. #22621620C2semidirect
18. #22621281C2semidirect
19. #22621277C2semidirect
20. #22621263C2semidirect
21. #22620895C2semidirect
22. #22620891C2semidirect
23. #22620885C2semidirect
24. #22620015C2semidirect
25. #22620006C2semidirect
26. #22619950C2semidirect
27. #22619382C2semidirect
28. C2×#17988811C2semidirect
29. #464×D73C2semidirect
30. #22619038C2semidirect
31. C73×#3285C2semidirect
32. C2×#14556611C22semidirect
33. C2×Q16×D73C22semidirect
37. #17989313C22semidirect
40. #17989306C22semidirect
43. #17989277C22semidirect
45. #17989271C22semidirect
51. #17989244C22semidirect
62. #17989139C22semidirect
68. #17989118C22semidirect
70. #17989116C22semidirect
74. #41×Dic73C22semidirect
77. C2×Q8×Dic73C22semidirect
78. C4×Q8×D73C22semidirect
81. #17988968C22semidirect
82. #17988965C22semidirect
85. #17988943C22semidirect
87. #17988941C22semidirect
88. #17988936C22semidirect
90. #17988925C22semidirect
91. #17988918C22semidirect
92. #17988916C22semidirect
96. #17988894C22semidirect
97. #17988893C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
100. #17988892C22semidirect
101. #17988888C22semidirect
102. #17988885C22semidirect
103. #17988885C22semidirect
104. #17988870C22semidirect
106. #17988828C22semidirect
107. #17988826C22semidirect
108. #17988825C22semidirect
114. #17988814C22semidirect
115. #17988813C22semidirect
117. #17988812C22semidirect
122. #17988811C22semidirect
123. #17988811C22semidirect
124. #17988811C22semidirect
125. #17988811C22semidirect
128. #17988808C22semidirect
129. #17988808C22semidirect
130. #17988807C22semidirect
131. #17988807C22semidirect
132. #17988806C22semidirect
134. #17988804C22semidirect
135. #17988800C22semidirect
136. #17988800C22semidirect
137. #17988799C22semidirect
138. #17988795C22semidirect
139. #17988795C22semidirect
141. #17988790C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988747C22semidirect
147. #17988743C22semidirect
148. #17988743C22semidirect
149. #17988741C22semidirect
150. #17988741C22semidirect
155. #17988724C22semidirect
158. C8×Dic146C22semidirect
159. #17988711C22semidirect
160. Q16×Dic73C22semidirect
161. C4×#11924018C22semidirect
162. #17988679C22semidirect
163. #17988679C22semidirect
164. C4×#11924017C22semidirect
165. SD16×Dic73C22semidirect
166. SD16×Dic73C22semidirect
167. SD16×Dic73C22semidirect
168. C4×#11924015C22semidirect
171. D4×#10596831C22semidirect
173. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988638C22semidirect
177. #17988637C22semidirect
178. #17988637C22semidirect
179. C2×#14556520C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988584C22semidirect
183. #17988583C22semidirect
184. C2×#14556515C22semidirect
185. #103×D73C22semidirect
188. C2×#135×C73C22semidirect
189. C22×Q16×C73C22semidirect
191. #548×C73C22semidirect
192. #495×C73C22semidirect
193. #467×C73C22semidirect
195. #464×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
200. #448×C73C22semidirect
201. C4×Q16×C73C22semidirect
202. C8×D4×C73C22semidirect
764. C22⋊D73#135semidirect
892. #3285D73semidirect
909. C73#61956semidirect
911. C2×#135C2×D73semidirect
913. C22×Q16C2×D73semidirect
933. #548C2×D73semidirect
964. #495C2×D73semidirect
992. #467C2×D73semidirect
1018. #464C2×D73semidirect
1019. #464C2×D73semidirect
1034. #452C2×D73semidirect
1035. #452C2×D73semidirect
1046. #448C2×D73semidirect
1055. C4×Q16C2×D73semidirect
1068. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226235472
#226229242
#226229142
#226226222
#226226172
#226218182
#226218132
#226217892
#226217682
#226217592
#226217392
Q16×C22⋊D732
#226216702
#226216392
#226216322
#226216202
#226212812
#226212772
#226212632
#226208952
#226208912
#226208852
#226200152
#226200062
#226199502
#226193822
C2×#179888112
#464×D732
#226190382
C73×#32852
#6195673